0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : run_iprover %s %d THM 0.09/0.30 % Computer : n027.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Thu Jul 4 04:33:39 EDT 2024 0.09/0.30 % CPUTime : 0.15/0.42 Running TFA theorem proving 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 180 3.21/1.10 % SZS status Started for theBenchmark.p 3.21/1.10 % SZS status Theorem for theBenchmark.p 3.21/1.10 3.21/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------% 3.21/1.10 3.21/1.10 ------ iProver source info 3.21/1.10 3.21/1.10 git: date: 2024-06-12 09:56:46 +0000 3.21/1.10 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49 3.21/1.10 git: non_committed_changes: false 3.21/1.10 3.21/1.10 ------ Parsing... 3.21/1.10 ------ Clausification by vclausify_rel & Parsing by iProver... 3.21/1.10 3.21/1.10 ------ Preprocessing... sup_sim: 1 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e 3.21/1.10 3.21/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 3.21/1.10 3.21/1.10 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 3.21/1.10 ------ Proving... 3.21/1.10 ------ Problem Properties 3.21/1.10 3.21/1.10 3.21/1.10 clauses 15 3.21/1.10 conjectures 1 3.21/1.10 EPR 5 3.21/1.10 Horn 13 3.21/1.10 unary 12 3.21/1.10 binary 1 3.21/1.10 lits 20 3.21/1.10 lits eq 9 3.21/1.10 fd_pure 0 3.21/1.10 fd_pseudo 0 3.21/1.10 fd_cond 0 3.21/1.10 fd_pseudo_cond 1 3.21/1.10 AC symbols 1 3.21/1.10 3.21/1.10 ------ Input Options Time Limit: Unbounded 3.21/1.10 3.21/1.10 3.21/1.10 ------ 3.21/1.10 Current options: 3.21/1.10 ------ 3.21/1.10 3.21/1.10 3.21/1.10 3.21/1.10 3.21/1.10 ------ Proving... 3.21/1.10 3.21/1.10 3.21/1.10 % SZS status Theorem for theBenchmark.p 3.21/1.10 3.21/1.10 % SZS output start CNFRefutation for theBenchmark.p 3.21/1.10 3.21/1.10 tff(f1,conjecture,( 3.21/1.10 ! [X0 : $real] : ($floor(X0) = X0 => $is_int(X0))), 3.21/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)). 3.21/1.10 3.21/1.10 tff(f2,negated_conjecture,( 3.21/1.10 ~! [X0 : $real] : ($floor(X0) = X0 => $is_int(X0))), 3.21/1.10 inference(negated_conjecture,[],[f1])). 3.21/1.10 3.21/1.10 tff(f3,plain,( 3.21/1.10 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )), 3.21/1.10 introduced(theory_axiom_138,[])). 3.21/1.10 3.21/1.10 tff(f4,plain,( 3.21/1.10 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 3.21/1.10 introduced(theory_axiom_139,[])). 3.21/1.10 3.21/1.10 tff(f5,plain,( 3.21/1.10 ( ! [X0 : $real] : ($sum(X0,0.0) = X0) )), 3.21/1.10 introduced(theory_axiom_140,[])). 3.21/1.10 3.21/1.10 tff(f6,plain,( 3.21/1.10 ( ! [X0 : $real,X1 : $real] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )), 3.21/1.10 introduced(theory_axiom_142,[])). 3.21/1.10 3.21/1.10 tff(f7,plain,( 3.21/1.10 ( ! [X0 : $real] : (0.0 = $sum(X0,$uminus(X0))) )), 3.21/1.10 introduced(theory_axiom_143,[])). 3.21/1.10 3.21/1.10 tff(f8,plain,( 3.21/1.10 ( ! [X0 : $real] : (~$less(X0,X0)) )), 3.21/1.10 introduced(theory_axiom_145,[])). 3.21/1.10 3.21/1.10 tff(f9,plain,( 3.21/1.10 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 3.21/1.10 introduced(theory_axiom_146,[])). 3.21/1.10 3.21/1.10 tff(f10,plain,( 3.21/1.10 ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 3.21/1.10 introduced(theory_axiom_147,[])). 3.21/1.10 3.21/1.10 tff(f12,plain,( 3.21/1.10 ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,$sum(X0,1.0))) )), 3.21/1.10 introduced(theory_axiom_150,[])). 3.21/1.10 3.21/1.10 tff(f13,plain,( 3.21/1.10 ( ! [X0 : $real] : ($uminus($uminus(X0)) = X0) )), 3.21/1.10 introduced(theory_axiom_151,[])). 3.21/1.10 3.21/1.10 tff(f14,plain,( 3.21/1.10 ( ! [X0 : $real] : (~$less(X0,$floor(X0))) )), 3.21/1.10 introduced(theory_axiom_165,[])). 3.21/1.10 3.21/1.10 tff(f15,plain,( 3.21/1.10 ( ! [X0 : $real] : ($less($sum(X0,$uminus(1.0)),$floor(X0))) )), 3.21/1.10 introduced(theory_axiom_166,[])). 3.21/1.10 3.21/1.10 tff(f16,plain,( 3.21/1.10 ? [X0 : $real] : (~$is_int(X0) & $floor(X0) = X0)), 3.21/1.10 inference(ennf_transformation,[],[f2])). 3.21/1.10 3.21/1.10 tff(f17,plain,( 3.21/1.10 ? [X0 : $real] : (~$is_int(X0) & $floor(X0) = X0) => (~$is_int(sK0) & sK0 = $floor(sK0))), 3.21/1.10 introduced(choice_axiom,[])). 3.21/1.10 3.21/1.10 tff(f18,plain,( 3.21/1.10 ~$is_int(sK0) & sK0 = $floor(sK0)), 3.21/1.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17])). 3.21/1.10 3.21/1.10 tff(f19,plain,( 3.21/1.10 sK0 = $floor(sK0)), 3.21/1.10 inference(cnf_transformation,[],[f18])). 3.21/1.10 3.21/1.10 cnf(c_49,plain, 3.21/1.10 ($less_real($sum_real(X0_2,$uminus_real(1.0)),$floor_real(X0_2))), 3.21/1.10 inference(cnf_transformation,[],[f15])). 3.21/1.10 3.21/1.10 cnf(c_50,plain, 3.21/1.10 (~$less_real(X0_2,$floor_real(X0_2))), 3.21/1.10 inference(cnf_transformation,[],[f14])). 3.21/1.10 3.21/1.10 cnf(c_51,plain, 3.21/1.10 ($uminus_real($uminus_real(X0_2)) = X0_2), 3.21/1.10 inference(cnf_transformation,[],[f13])). 3.21/1.10 3.21/1.10 cnf(c_52,plain, 3.21/1.10 ($less_real(X0_2,$sum_real(X1_2,1.0))|$less_real(X1_2,X0_2)), 3.21/1.10 inference(cnf_transformation,[],[f12])). 3.21/1.10 3.21/1.11 cnf(c_54,plain, 3.21/1.11 (X0_2 = X1_2|$less_real(X0_2,X1_2)|$less_real(X1_2,X0_2)), 3.21/1.11 inference(cnf_transformation,[],[f10])). 3.21/1.11 3.21/1.11 cnf(c_55,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|~$less_real(X1_2,X2_2)|$less_real(X0_2,X2_2)), 3.21/1.11 inference(cnf_transformation,[],[f9])). 3.21/1.11 3.21/1.11 cnf(c_56,plain, 3.21/1.11 (~$less_real(X0_2,X0_2)), 3.21/1.11 inference(cnf_transformation,[],[f8])). 3.21/1.11 3.21/1.11 cnf(c_57,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real(X0_2)) = 0.0), 3.21/1.11 inference(cnf_transformation,[],[f7])). 3.21/1.11 3.21/1.11 cnf(c_58,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$uminus_real(X1_2)) = $uminus_real($sum_real(X1_2,X0_2))), 3.21/1.11 inference(cnf_transformation,[],[f6])). 3.21/1.11 3.21/1.11 cnf(c_59,plain, 3.21/1.11 ($sum_real(X0_2,0.0) = X0_2), 3.21/1.11 inference(cnf_transformation,[],[f5])). 3.21/1.11 3.21/1.11 cnf(c_60,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))), 3.21/1.11 inference(cnf_transformation,[],[f4])). 3.21/1.11 3.21/1.11 cnf(c_61,plain, 3.21/1.11 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)), 3.21/1.11 inference(cnf_transformation,[],[f3])). 3.21/1.11 3.21/1.11 cnf(c_63,negated_conjecture, 3.21/1.11 ($floor_real(sK0) = sK0), 3.21/1.11 inference(cnf_transformation,[],[f19])). 3.21/1.11 3.21/1.11 cnf(c_64,plain,($less_real(0.0,1.0)),theory(arith)). 3.21/1.11 3.21/1.11 cnf(c_202,plain,($floor_real(sK0) = sP0_iProver_def),definition). 3.21/1.11 3.21/1.11 cnf(c_203,negated_conjecture, 3.21/1.11 (sP0_iProver_def = sK0), 3.21/1.11 inference(demodulation,[status(thm)],[c_63,c_202])). 3.21/1.11 3.21/1.11 cnf(c_357,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,X2_2)) = $sum_real(X1_2,$sum_real(X0_2,X2_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_360,plain, 3.21/1.11 ($floor_real(sP0_iProver_def) = sP0_iProver_def), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_202,c_203])). 3.21/1.11 3.21/1.11 cnf(c_361,plain, 3.21/1.11 (~$less_real(sP0_iProver_def,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_360,c_50])). 3.21/1.11 3.21/1.11 cnf(c_362,plain, 3.21/1.11 ($less_real($sum_real(sP0_iProver_def,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_360,c_49])). 3.21/1.11 3.21/1.11 cnf(c_363,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,0.0)) = $sum_real(X1_2,X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_357])). 3.21/1.11 3.21/1.11 cnf(c_367,plain, 3.21/1.11 ($less_real(0.0,$floor_real(1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_49])). 3.21/1.11 3.21/1.11 cnf(c_368,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X0_2))) = $sum_real(X1_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_357])). 3.21/1.11 3.21/1.11 cnf(c_374,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_52,c_56])). 3.21/1.11 3.21/1.11 cnf(c_381,plain, 3.21/1.11 ($less_real($sum_real($uminus_real(1.0),X0_2),$floor_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_49])). 3.21/1.11 3.21/1.11 cnf(c_382,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(1.0,X1_2))|$less_real(X1_2,X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_52])). 3.21/1.11 3.21/1.11 cnf(c_383,plain, 3.21/1.11 ($sum_real(0.0,X0_2) = X0_2), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_59])). 3.21/1.11 3.21/1.11 cnf(c_397,plain, 3.21/1.11 ($floor_real(X0_2) = X0_2|$less_real($floor_real(X0_2),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_50])). 3.21/1.11 3.21/1.11 cnf(c_403,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_374])). 3.21/1.11 3.21/1.11 cnf(c_407,plain, 3.21/1.11 ($less_real($uminus_real(1.0),0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_403])). 3.21/1.11 3.21/1.11 cnf(c_410,plain, 3.21/1.11 ($less_real($sum_real(X0_2,X1_2),$sum_real(X0_2,$sum_real(1.0,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_403])). 3.21/1.11 3.21/1.11 cnf(c_418,plain, 3.21/1.11 ($less_real($uminus_real(1.0),$floor_real(0.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_49])). 3.21/1.11 3.21/1.11 cnf(c_420,plain, 3.21/1.11 ($less_real(X0_2,1.0)|$less_real(0.0,X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_52])). 3.21/1.11 3.21/1.11 cnf(c_424,plain, 3.21/1.11 ($uminus_real(0.0) = 0.0), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_57])). 3.21/1.11 3.21/1.11 cnf(c_426,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(0.0,X1_2)) = $sum_real(X0_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_357])). 3.21/1.11 3.21/1.11 cnf(c_432,plain, 3.21/1.11 ($sum_real(0.0,0.0) = 0.0), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_57])). 3.21/1.11 3.21/1.11 cnf(c_437,plain, 3.21/1.11 ($less_real($floor_real(0.0),1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_50])). 3.21/1.11 3.21/1.11 cnf(c_441,plain, 3.21/1.11 ($less_real(0.0,$floor_real($uminus_real($uminus_real(1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_381])). 3.21/1.11 3.21/1.11 cnf(c_444,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$sum_real($uminus_real(1.0),X1_2)),$floor_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_381])). 3.21/1.11 3.21/1.11 cnf(c_457,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(X1_2,$uminus_real(1.0)))|$less_real(X0_2,$floor_real(X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_49,c_55])). 3.21/1.11 3.21/1.11 cnf(c_459,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(X2_2,1.0))|$less_real(X2_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_52,c_55])). 3.21/1.11 3.21/1.11 cnf(c_460,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|X1_2 = X2_2|$less_real(X0_2,X2_2)|$less_real(X2_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_55])). 3.21/1.11 3.21/1.11 cnf(c_461,plain, 3.21/1.11 (~$less_real(X0_2,0.0)|$less_real(X0_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_64,c_55])). 3.21/1.11 3.21/1.11 cnf(c_462,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(sP0_iProver_def,$uminus_real(1.0)))|$less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_362,c_55])). 3.21/1.11 3.21/1.11 cnf(c_463,plain, 3.21/1.11 (~$less_real(X0_2,0.0)|$less_real(X0_2,$floor_real(1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_367,c_55])). 3.21/1.11 3.21/1.11 cnf(c_464,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(X1_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_374,c_55])). 3.21/1.11 3.21/1.11 cnf(c_465,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real($uminus_real(1.0),X1_2))|$less_real(X0_2,$floor_real(X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_381,c_55])). 3.21/1.11 3.21/1.11 cnf(c_466,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(1.0,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_403,c_55])). 3.21/1.11 3.21/1.11 cnf(c_467,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real(1.0))|$less_real(X0_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_407,c_55])). 3.21/1.11 3.21/1.11 cnf(c_468,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real(1.0))|$less_real(X0_2,$floor_real(0.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_418,c_55])). 3.21/1.11 3.21/1.11 cnf(c_469,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,1.0)|$less_real(0.0,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_55])). 3.21/1.11 3.21/1.11 cnf(c_470,plain, 3.21/1.11 (~$less_real(X0_2,0.0)|$less_real(X0_2,X1_2)|$less_real(X1_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_55])). 3.21/1.11 3.21/1.11 cnf(c_471,plain, 3.21/1.11 (~$less_real(X0_2,$floor_real(0.0))|$less_real(X0_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_437,c_55])). 3.21/1.11 3.21/1.11 cnf(c_525,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$uminus_real(X1_2))) = $sum_real(X1_2,$uminus_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_58])). 3.21/1.11 3.21/1.11 cnf(c_526,plain, 3.21/1.11 ($sum_real(0.0,$uminus_real(X0_2)) = $uminus_real($sum_real(X0_2,0.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_58])). 3.21/1.11 3.21/1.11 cnf(c_527,plain, 3.21/1.11 ($uminus_real($sum_real($uminus_real(X0_2),X1_2)) = $sum_real($uminus_real(X1_2),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_58])). 3.21/1.11 3.21/1.11 cnf(c_528,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),0.0) = $uminus_real($sum_real(0.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_58])). 3.21/1.11 3.21/1.11 cnf(c_529,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,X0_2)),$floor_real($uminus_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_49])). 3.21/1.11 3.21/1.11 cnf(c_531,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))) = $sum_real(X1_2,$uminus_real($sum_real(X2_2,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_357])). 3.21/1.11 3.21/1.11 cnf(c_533,plain, 3.21/1.11 ($uminus_real($sum_real($uminus_real(X0_2),X0_2)) = 0.0), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_57])). 3.21/1.11 3.21/1.11 cnf(c_534,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$uminus_real(X1_2)) = $uminus_real($sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_61])). 3.21/1.11 3.21/1.11 cnf(c_535,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,1.0)),$floor_real($uminus_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_381])). 3.21/1.11 3.21/1.11 cnf(c_536,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$uminus_real(X0_2))) = 0.0), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_533,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_540,plain, 3.21/1.11 ($sum_real(0.0,$uminus_real(X0_2)) = $uminus_real($sum_real(0.0,X0_2))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_528,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_541,plain, 3.21/1.11 ($sum_real(0.0,$uminus_real(X0_2)) = $uminus_real(X0_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_540,c_383])). 3.21/1.11 3.21/1.11 cnf(c_567,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X0_2),X1_2)) = $sum_real(0.0,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_60])). 3.21/1.11 3.21/1.11 cnf(c_568,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($uminus_real(X1_2),X2_2)) = $sum_real($uminus_real($sum_real(X1_2,X0_2)),X2_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_60])). 3.21/1.11 3.21/1.11 cnf(c_570,plain, 3.21/1.11 ($sum_real(0.0,$sum_real(X0_2,X1_2)) = $sum_real(X0_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_60])). 3.21/1.11 3.21/1.11 cnf(c_571,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(1.0))),$floor_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_49])). 3.21/1.11 3.21/1.11 cnf(c_572,plain, 3.21/1.11 ($less_real($sum_real(X0_2,X1_2),$sum_real(X0_2,$sum_real(X1_2,1.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_374])). 3.21/1.11 3.21/1.11 cnf(c_573,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0)))|$less_real($sum_real(X1_2,X2_2),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_52])). 3.21/1.11 3.21/1.11 cnf(c_574,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$uminus_real($sum_real(X0_2,X1_2)))) = 0.0), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_57])). 3.21/1.11 3.21/1.11 cnf(c_575,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,0.0)) = $sum_real(X0_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_59])). 3.21/1.11 3.21/1.11 cnf(c_590,plain, 3.21/1.11 ($less_real($uminus_real(1.0),1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_407,c_461])). 3.21/1.11 3.21/1.11 cnf(c_592,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real(1.0))|$less_real(X0_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_590,c_55])). 3.21/1.11 3.21/1.11 cnf(c_601,plain, 3.21/1.11 ($less_real($uminus_real(1.0),X0_2)|$less_real(X0_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_382])). 3.21/1.11 3.21/1.11 cnf(c_604,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2)))|$less_real($sum_real(X1_2,X2_2),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_382])). 3.21/1.11 3.21/1.11 cnf(c_606,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(1.0,X2_2))|$less_real(X2_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_382,c_55])). 3.21/1.11 3.21/1.11 cnf(c_634,plain, 3.21/1.11 ($less_real(X0_2,0.0)|$less_real(-1.0,X0_2)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_601])). 3.21/1.11 3.21/1.11 cnf(c_640,plain, 3.21/1.11 ($less_real($floor_real(-1.0),0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_50])). 3.21/1.11 3.21/1.11 cnf(c_641,plain, 3.21/1.11 (~$less_real(X0_2,-1.0)|$less_real(X0_2,X1_2)|$less_real(X1_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_55])). 3.21/1.11 3.21/1.11 cnf(c_643,plain, 3.21/1.11 ($less_real(0.0,0.0)|$less_real(-1.0,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_461])). 3.21/1.11 3.21/1.11 cnf(c_644,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,0.0)|$less_real(-1.0,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_55])). 3.21/1.11 3.21/1.11 cnf(c_645,plain, 3.21/1.11 ($less_real(-1.0,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_56])). 3.21/1.11 3.21/1.11 cnf(c_646,plain, 3.21/1.11 ($less_real(X0_2,1.0)|$less_real(-1.0,X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_461])). 3.21/1.11 3.21/1.11 cnf(c_649,plain, 3.21/1.11 ($less_real(-1.0,1.0)), 3.21/1.11 inference(forward_subsumption_resolution,[status(thm)],[c_643,c_56])). 3.21/1.11 3.21/1.11 cnf(c_658,plain, 3.21/1.11 (~$less_real(X0_2,-1.0)|$less_real(X0_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_645,c_55])). 3.21/1.11 3.21/1.11 cnf(c_663,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_462])). 3.21/1.11 3.21/1.11 cnf(c_669,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(1.0,X0_2))| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_663])). 3.21/1.11 3.21/1.11 cnf(c_672,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($uminus_real(1.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_663])). 3.21/1.11 3.21/1.11 cnf(c_673,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_663])). 3.21/1.11 3.21/1.11 cnf(c_674,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_663])). 3.21/1.11 3.21/1.11 cnf(c_675,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_663])). 3.21/1.11 3.21/1.11 cnf(c_716,plain, 3.21/1.11 (1.0 = sP0_iProver_def|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_674])). 3.21/1.11 3.21/1.11 cnf(c_721,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-1.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_672])). 3.21/1.11 3.21/1.11 cnf(c_726,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(-1.0,sP0_iProver_def)|$less_real(sP0_iProver_def,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_721])). 3.21/1.11 3.21/1.11 cnf(c_728,plain, 3.21/1.11 ($less_real(-1.0,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_721])). 3.21/1.11 3.21/1.11 cnf(c_738,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(X0_2,1.0))| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_673])). 3.21/1.11 3.21/1.11 cnf(c_742,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_673])). 3.21/1.11 3.21/1.11 cnf(c_760,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,X1_2)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(1.0,X1_2)))| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_675])). 3.21/1.11 3.21/1.11 cnf(c_762,plain, 3.21/1.11 (~$less_real($sum_real($sum_real(1.0,X0_2),X1_2),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_675])). 3.21/1.11 3.21/1.11 cnf(c_766,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(0.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_675])). 3.21/1.11 3.21/1.11 cnf(c_767,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_675])). 3.21/1.11 3.21/1.11 cnf(c_769,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,0.0),sP0_iProver_def)|$less_real($sum_real(X0_2,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_675])). 3.21/1.11 3.21/1.11 cnf(c_771,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_675])). 3.21/1.11 3.21/1.11 cnf(c_772,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_675])). 3.21/1.11 3.21/1.11 cnf(c_776,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_769,c_59])). 3.21/1.11 3.21/1.11 cnf(c_781,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_762,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_803,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,1.0)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,1.0)))| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_742])). 3.21/1.11 3.21/1.11 cnf(c_805,plain, 3.21/1.11 (~$less_real($sum_real($sum_real(X0_2,1.0),X1_2),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_742])). 3.21/1.11 3.21/1.11 cnf(c_809,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(0.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_742])). 3.21/1.11 3.21/1.11 cnf(c_810,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_742])). 3.21/1.11 3.21/1.11 cnf(c_813,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_742])). 3.21/1.11 3.21/1.11 cnf(c_818,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_805,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_832,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X0_2))) = X1_2), 3.21/1.11 inference(demodulation,[status(thm)],[c_368,c_59])). 3.21/1.11 3.21/1.11 cnf(c_840,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X0_2,X1_2))) = $uminus_real(X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_832])). 3.21/1.11 3.21/1.11 cnf(c_843,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,X0_2)) = X1_2), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_832])). 3.21/1.11 3.21/1.11 cnf(c_844,plain, 3.21/1.11 ($sum_real(0.0,$sum_real(X0_2,0.0)) = X0_2), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_832])). 3.21/1.11 3.21/1.11 cnf(c_845,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X0_2)))) = $sum_real(X1_2,X2_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_357])). 3.21/1.11 3.21/1.11 cnf(c_847,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($sum_real(X1_2,$uminus_real(X0_2)),X2_2)) = $sum_real(X1_2,X2_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_60])). 3.21/1.11 3.21/1.11 cnf(c_849,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$uminus_real($sum_real(X0_2,X1_2))))) = X2_2), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_60])). 3.21/1.11 3.21/1.11 cnf(c_850,plain, 3.21/1.11 ($less_real(X0_2,$floor_real($sum_real(X0_2,$uminus_real($uminus_real(1.0)))))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_381])). 3.21/1.11 3.21/1.11 cnf(c_851,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real(0.0)) = X0_2), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_383])). 3.21/1.11 3.21/1.11 cnf(c_852,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_675])). 3.21/1.11 3.21/1.11 cnf(c_853,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$uminus_real(1.0)),X1_2)|$less_real(X1_2,X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_382])). 3.21/1.11 3.21/1.11 cnf(c_854,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X1_2))) = X0_2), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_357])). 3.21/1.11 3.21/1.11 cnf(c_856,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$uminus_real(1.0)),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_403])). 3.21/1.11 3.21/1.11 cnf(c_857,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(X0_2,$uminus_real(X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_675])). 3.21/1.11 3.21/1.11 cnf(c_862,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X0_2),X1_2)) = X1_2), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_843,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_864,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real($uminus_real(X0_2),X2_2))) = $sum_real(X1_2,X2_2)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_847,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_892,plain, 3.21/1.11 (~$less_real(X0_2,$floor_real(-1.0))|$less_real(X0_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_640,c_55])). 3.21/1.11 3.21/1.11 cnf(c_893,plain, 3.21/1.11 ($less_real($floor_real(-1.0),1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_640,c_461])). 3.21/1.11 3.21/1.11 cnf(c_929,plain, 3.21/1.11 (~$less_real(X0_2,-1.0)|$less_real(X0_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_649,c_55])). 3.21/1.11 3.21/1.11 cnf(c_948,plain, 3.21/1.11 (~$less_real(X0_2,$floor_real(-1.0))|$less_real(X0_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_893,c_55])). 3.21/1.11 3.21/1.11 cnf(c_957,plain, 3.21/1.11 (~$less_real(X0_2,-1.0)|$less_real(X0_2,X1_2)|$less_real(X1_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_646,c_55])). 3.21/1.11 3.21/1.11 cnf(c_961,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,1.0)|$less_real(-1.0,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_646,c_55])). 3.21/1.11 3.21/1.11 cnf(c_969,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_852])). 3.21/1.11 3.21/1.11 cnf(c_985,plain, 3.21/1.11 (~$less_real($sum_real(0.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-1.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_969])). 3.21/1.11 3.21/1.11 cnf(c_997,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-1.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_985,c_383])). 3.21/1.11 3.21/1.11 cnf(c_1007,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))))| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1009,plain, 3.21/1.11 (~$less_real($sum_real($sum_real(X0_2,$sum_real(1.0,X1_2)),X2_2),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1013,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(0.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1014,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1015,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real($sum_real(1.0,X1_2),X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X2_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1019,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(0.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1020,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1021,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1023,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,0.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1025,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,0.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1026,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(1.0,X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,X3_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1028,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$uminus_real(1.0)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1037,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X2_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1015,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1042,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1009,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1073,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,X1_2)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real($sum_real(1.0,X1_2),X0_2))| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1077,plain, 3.21/1.11 ($sum_real(0.0,$sum_real(1.0,X0_2)) = sP0_iProver_def|$less_real($sum_real(0.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1078,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,X1_2)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(1.0,$sum_real(X0_2,X1_2)))| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1079,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,$uminus_real(X0_2))) = sP0_iProver_def| 3.21/1.11 $less_real($sum_real(X0_2,$uminus_real(X0_2)),sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1081,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,$uminus_real(1.0))) = sP0_iProver_def| 3.21/1.11 $less_real($sum_real(X0_2,$uminus_real(1.0)),sP0_iProver_def)|$less_real(sP0_iProver_def,$sum_real(X0_2,0.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1082,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,X1_2)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,1.0)))| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1083,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,0.0)) = sP0_iProver_def|$less_real($sum_real(X0_2,0.0),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1084,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,$sum_real(X1_2,X2_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))))| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1086,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,$sum_real(X1_2,$uminus_real(1.0)))) = sP0_iProver_def| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(1.0))),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_760])). 3.21/1.11 3.21/1.11 cnf(c_1087,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$sum_real(X1_2,$sum_real(1.0,X2_2)) = sP0_iProver_def| 3.21/1.11 $less_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2)))|$less_real($sum_real(X1_2,X2_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_760,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1088,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,0.0)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(X0_2,1.0))| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1083,c_59])). 3.21/1.11 3.21/1.11 cnf(c_1092,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,$uminus_real(X0_2))) = sP0_iProver_def| 3.21/1.11 $less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1079,c_57])). 3.21/1.11 3.21/1.11 cnf(c_1096,plain, 3.21/1.11 ($sum_real(1.0,$sum_real(X0_2,0.0)) = sP0_iProver_def|$less_real($sum_real(0.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1077,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1101,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,$uminus_real(1.0))) = sP0_iProver_def| 3.21/1.11 $less_real($sum_real(X0_2,$uminus_real(1.0)),sP0_iProver_def)|$less_real(sP0_iProver_def,X0_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1081,c_59])). 3.21/1.11 3.21/1.11 cnf(c_1108,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(1.0,X1_2)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(1.0,$sum_real(X1_2,X0_2)))| 3.21/1.11 $less_real($sum_real(X0_2,X1_2),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1073,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1179,plain, 3.21/1.11 ($sum_real(1.0,$sum_real(X0_2,X1_2)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(1.0,$sum_real(X0_2,X1_2)))| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1183,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real($uminus_real(1.0),X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1185,plain, 3.21/1.11 (~$less_real($sum_real(1.0,0.0),sP0_iProver_def)|$less_real($sum_real($uminus_real(X0_2),X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1187,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($uminus_real(X0_2),$uminus_real(X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1190,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1191,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(X0_2,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1192,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($sum_real(X0_2,X2_2),X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1193,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real($sum_real(X0_2,$uminus_real(X1_2)),X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_781])). 3.21/1.11 3.21/1.11 cnf(c_1197,plain, 3.21/1.11 (~$less_real($sum_real(1.0,0.0),sP0_iProver_def)|$less_real($sum_real(X0_2,$uminus_real(X0_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1185,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1198,plain, 3.21/1.11 (~$less_real($sum_real(1.0,0.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1197,c_57])). 3.21/1.11 3.21/1.11 cnf(c_1201,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1193,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1203,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1187,c_534])). 3.21/1.11 3.21/1.11 cnf(c_1206,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X2_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1192,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1262,plain, 3.21/1.11 ($less_real($uminus_real(0.0),$floor_real($uminus_real($uminus_real(1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1264,plain, 3.21/1.11 ($less_real($uminus_real(1.0),$floor_real($uminus_real(0.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1265,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,$sum_real(1.0,X1_2))),$floor_real($uminus_real($sum_real(X0_2,X1_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1267,plain, 3.21/1.11 ($less_real($uminus_real(X0_2),$floor_real($uminus_real($sum_real(X0_2,$uminus_real(1.0)))))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1268,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,$uminus_real(X0_2))),$floor_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1269,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,0.0)),$floor_real(0.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1270,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real($sum_real(1.0,X1_2)))|$less_real(X0_2,$floor_real($uminus_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_529,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1281,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,$sum_real(X1_2,1.0))),$floor_real($uminus_real($sum_real(X0_2,X1_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_535])). 3.21/1.11 3.21/1.11 cnf(c_1285,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real($sum_real(X1_2,1.0)))|$less_real(X0_2,$floor_real($uminus_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_535,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1294,plain, 3.21/1.11 ($less_real($sum_real($uminus_real(1.0),X0_2),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_856])). 3.21/1.11 3.21/1.11 cnf(c_1295,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,X0_2)),$uminus_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_856])). 3.21/1.11 3.21/1.11 cnf(c_1296,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(1.0))),$sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_856])). 3.21/1.11 3.21/1.11 cnf(c_1298,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(X1_2,$uminus_real(1.0)))|$less_real(X0_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_856,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1299,plain, 3.21/1.11 ($less_real($sum_real(0.0,$uminus_real(1.0)),1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_856,c_461])). 3.21/1.11 3.21/1.11 cnf(c_1300,plain, 3.21/1.11 ($less_real($sum_real(-1.0,$uminus_real(1.0)),1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_856,c_929])). 3.21/1.11 3.21/1.11 cnf(c_1301,plain, 3.21/1.11 ($less_real($sum_real(-1.0,$uminus_real(1.0)),0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_856,c_658])). 3.21/1.11 3.21/1.11 cnf(c_1325,plain, 3.21/1.11 ($less_real(0.0,$uminus_real($uminus_real(1.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1294])). 3.21/1.11 3.21/1.11 cnf(c_1327,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,1.0)),$uminus_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_1294])). 3.21/1.11 3.21/1.11 cnf(c_1329,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$sum_real($uminus_real(1.0),X1_2)),$sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1294])). 3.21/1.11 3.21/1.11 cnf(c_1331,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(X0_2,$uminus_real($uminus_real(1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1294])). 3.21/1.11 3.21/1.11 cnf(c_1332,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real($uminus_real(1.0),X1_2))|$less_real(X0_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_1294,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1425,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,1.0)) = sP0_iProver_def|$less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,1.0)))| 3.21/1.11 $less_real($sum_real(X1_2,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_810])). 3.21/1.11 3.21/1.11 cnf(c_1430,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_810])). 3.21/1.11 3.21/1.11 cnf(c_1435,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($sum_real(X1_2,X2_2),X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_810])). 3.21/1.11 3.21/1.11 cnf(c_1438,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X2_2,X0_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1435,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1451,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))))| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1453,plain, 3.21/1.11 (~$less_real($sum_real($sum_real(X0_2,$sum_real(X1_2,1.0)),X2_2),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1457,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(0.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1458,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1459,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real($sum_real(X1_2,1.0),X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X2_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1463,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(0.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1464,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X2_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1467,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(X3_2,1.0)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,X3_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1475,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(X2_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1459,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1480,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1453,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1529,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,X2_2))))| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1534,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(1.0,X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real($sum_real(X0_2,X1_2),X3_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1540,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(1.0,X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($sum_real(X1_2,X2_2),$sum_real(X0_2,X3_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1542,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1543,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X1_2,$sum_real(X0_2,$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1545,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,0.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1547,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,0.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1548,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(1.0,X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,$sum_real(X2_2,X3_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1550,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X0_2,$sum_real(X2_2,$uminus_real(1.0)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1554,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X1_2,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1545,c_575])). 3.21/1.11 3.21/1.11 cnf(c_1565,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(1.0,X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X1_2,$sum_real(X2_2,$sum_real(X0_2,X3_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1540,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1568,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$sum_real(1.0,X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X2_2,$sum_real(X0_2,$sum_real(X1_2,X3_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1534,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1575,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_1028])). 3.21/1.11 3.21/1.11 cnf(c_1581,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-1.0,$sum_real(X1_2,X2_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1583,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real($sum_real(X1_2,X2_2),X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1587,plain, 3.21/1.11 (~$less_real($sum_real(0.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1588,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X1_2,$sum_real(X0_2,X2_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1589,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X0_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,X1_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1591,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,0.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1592,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X2_2,X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1593,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$uminus_real($sum_real(X2_2,X1_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1594,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,0.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1596,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real($sum_real(X1_2,X2_2),X3_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,X3_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1597,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(0.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1598,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,X3_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X2_2,$sum_real(X1_2,X3_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1599,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X1_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_1600,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-1.0,$sum_real(X1_2,$sum_real(X2_2,X3_2))))| 3.21/1.11 ~$less_real($sum_real(X1_2,$sum_real(X2_2,X3_2)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1575,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1601,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1575,c_675])). 3.21/1.11 3.21/1.11 cnf(c_1602,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-1.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1575,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1603,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1575,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1604,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1575,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1619,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(0.0,$sum_real(X0_2,-1.0)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1591,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1620,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(0.0,$sum_real(X0_2,-1.0)),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1619,c_854])). 3.21/1.11 3.21/1.11 cnf(c_1627,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,X2_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X1_2,$sum_real(X2_2,X0_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1583,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1641,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,X3_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,X3_2)))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1596,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1769,plain, 3.21/1.11 ($sum_real(1.0,$sum_real(X0_2,X1_2)) = sP0_iProver_def|$less_real($sum_real(-1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,$sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1773,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-1.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1775,plain, 3.21/1.11 (~$less_real($sum_real(1.0,0.0),sP0_iProver_def)|$less_real($sum_real(-1.0,$sum_real(X0_2,$uminus_real(X0_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1776,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X1_2,X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1777,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real($uminus_real(X1_2),$uminus_real(X0_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1780,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real($sum_real(X0_2,X1_2),X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1781,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-1.0,$sum_real(0.0,X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1782,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X1_2,$sum_real(X0_2,X2_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1783,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-1.0,$sum_real(X1_2,$sum_real(X0_2,$uminus_real(X1_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_1786,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(0.0,$sum_real(X0_2,-1.0)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1781,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1790,plain, 3.21/1.11 (~$less_real($sum_real(1.0,0.0),sP0_iProver_def)|$less_real($sum_real(-1.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1775,c_57])). 3.21/1.11 3.21/1.11 cnf(c_1791,plain, 3.21/1.11 (~$less_real($sum_real(1.0,0.0),sP0_iProver_def)|$less_real($sum_real(0.0,-1.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1790,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1802,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X1_2,X2_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1780,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1835,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-2.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_1773])). 3.21/1.11 3.21/1.11 cnf(c_1842,plain, 3.21/1.11 (~$less_real($uminus_real(-2.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1835])). 3.21/1.11 3.21/1.11 cnf(c_1843,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-2.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_1835])). 3.21/1.11 3.21/1.11 cnf(c_1844,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-2.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_1835])). 3.21/1.11 3.21/1.11 cnf(c_1845,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-2.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1835])). 3.21/1.11 3.21/1.11 cnf(c_1847,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-2.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1835])). 3.21/1.11 3.21/1.11 cnf(c_1848,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-2.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_55])). 3.21/1.11 3.21/1.11 cnf(c_1849,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-2.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_673])). 3.21/1.11 3.21/1.11 cnf(c_1850,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-2.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_675])). 3.21/1.11 3.21/1.11 cnf(c_1851,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-2.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_810])). 3.21/1.11 3.21/1.11 cnf(c_1852,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-2.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_742])). 3.21/1.11 3.21/1.11 cnf(c_1853,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-2.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_1854,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-2.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_772])). 3.21/1.11 3.21/1.11 cnf(c_1855,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-2.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_813])). 3.21/1.11 3.21/1.11 cnf(c_1953,plain, 3.21/1.11 ($uminus_real($sum_real($uminus_real(X0_2),X1_2)) = $sum_real(X0_2,$uminus_real(X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_525])). 3.21/1.11 3.21/1.11 cnf(c_1954,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($uminus_real(X1_2))) = $uminus_real($uminus_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_525])). 3.21/1.11 3.21/1.11 cnf(c_1955,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X2_2)))) = $sum_real(X2_2,$uminus_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_525])). 3.21/1.11 3.21/1.11 cnf(c_1956,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real(0.0)) = $uminus_real($uminus_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_525])). 3.21/1.11 3.21/1.11 cnf(c_1960,plain, 3.21/1.11 ($less_real($uminus_real($sum_real($sum_real(X0_2,$uminus_real(X1_2)),1.0)),$floor_real($sum_real(X1_2,$uminus_real(X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_535])). 3.21/1.11 3.21/1.11 cnf(c_1961,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,$sum_real(X0_2,$uminus_real(X1_2)))),$floor_real($sum_real(X1_2,$uminus_real(X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1962,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$sum_real(X2_2,$sum_real(X1_2,$uminus_real(X0_2)))) = X2_2), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_832])). 3.21/1.11 3.21/1.11 cnf(c_1964,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$sum_real(X1_2,$uminus_real(X0_2))) = 0.0), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_57])). 3.21/1.11 3.21/1.11 cnf(c_1966,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$uminus_real(X2_2)) = $uminus_real($sum_real(X2_2,$sum_real(X1_2,$uminus_real(X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_525])). 3.21/1.11 3.21/1.11 cnf(c_1967,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))) = $uminus_real($sum_real($sum_real(X2_2,$uminus_real(X1_2)),X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_58])). 3.21/1.11 3.21/1.11 cnf(c_1968,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$uminus_real(1.0)),$floor_real($uminus_real($uminus_real(X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_529])). 3.21/1.11 3.21/1.11 cnf(c_1971,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real($uminus_real(X0_2),$uminus_real(X1_2)))) = 0.0), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1964,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1973,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,$sum_real(1.0,$uminus_real(X1_2)))),$floor_real($sum_real(X1_2,$uminus_real(X0_2))))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1960,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1974,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real(X1_2,$sum_real($uminus_real(X0_2),$sum_real(X2_2,$uminus_real(X1_2))))) = X2_2), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1962,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1975,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))) = $uminus_real($sum_real(X2_2,$sum_real($uminus_real(X1_2),X0_2)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1967,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1976,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),X2_2))) = $sum_real(X1_2,$uminus_real($sum_real(X0_2,X2_2)))), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_1975,c_531])). 3.21/1.11 3.21/1.11 cnf(c_1977,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))) = $uminus_real($sum_real(X2_2,$sum_real(X1_2,$uminus_real(X0_2))))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_1966,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_1988,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$uminus_real(1.0)),$uminus_real($uminus_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1990,plain, 3.21/1.11 ($less_real($uminus_real(0.0),$uminus_real($uminus_real(1.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1992,plain, 3.21/1.11 ($less_real($uminus_real(1.0),$uminus_real(0.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1993,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,$sum_real(1.0,X1_2))),$uminus_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1995,plain, 3.21/1.11 ($less_real($uminus_real(X0_2),$uminus_real($sum_real(X0_2,$uminus_real(1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1996,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,$uminus_real(X0_2))),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1997,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,0.0)),0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1998,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,$sum_real(X0_2,$uminus_real(X1_2)))),$sum_real(X1_2,$uminus_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_1999,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real($sum_real(1.0,X1_2)))|$less_real(X0_2,$uminus_real(X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_1295,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2035,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,$sum_real(X1_2,1.0))),$uminus_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_1327])). 3.21/1.11 3.21/1.11 cnf(c_2039,plain, 3.21/1.11 ($less_real($uminus_real($sum_real($sum_real(X0_2,$uminus_real(X1_2)),1.0)),$sum_real(X1_2,$uminus_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_1327])). 3.21/1.11 3.21/1.11 cnf(c_2040,plain, 3.21/1.11 (~$less_real(X0_2,$uminus_real($sum_real(X1_2,1.0)))|$less_real(X0_2,$uminus_real(X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_1327,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2045,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(X0_2,$sum_real(1.0,$uminus_real(X1_2)))),$sum_real(X1_2,$uminus_real(X0_2)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2039,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2057,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-2.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_1844])). 3.21/1.11 3.21/1.11 cnf(c_2059,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-2.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_1844])). 3.21/1.11 3.21/1.11 cnf(c_2071,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-1.0,$uminus_real(1.0)))|$less_real(X0_2,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_1300,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2075,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-1.0,$uminus_real(1.0)))|$less_real(X0_2,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_1301,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2098,plain, 3.21/1.11 (~$less_real(X0_2,-2.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_2059,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2113,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-2.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_1850])). 3.21/1.11 3.21/1.11 cnf(c_2116,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-2.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_1850])). 3.21/1.11 3.21/1.11 cnf(c_2118,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_1850])). 3.21/1.11 3.21/1.11 cnf(c_2121,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-2.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_1850])). 3.21/1.11 3.21/1.11 cnf(c_2122,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-2.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2118,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2134,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-3.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2116])). 3.21/1.11 3.21/1.11 cnf(c_2139,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-3.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2134])). 3.21/1.11 3.21/1.11 cnf(c_2141,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-3.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_2134])). 3.21/1.11 3.21/1.11 cnf(c_2160,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-2.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_2162,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-2.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_1835,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_2174,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-3.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2121])). 3.21/1.11 3.21/1.11 cnf(c_2181,plain, 3.21/1.11 (~$less_real($uminus_real(-3.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2174])). 3.21/1.11 3.21/1.11 cnf(c_2182,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-3.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_2174])). 3.21/1.11 3.21/1.11 cnf(c_2184,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-3.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_2174])). 3.21/1.11 3.21/1.11 cnf(c_2186,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-3.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2174])). 3.21/1.11 3.21/1.11 cnf(c_2187,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-3.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2188,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-3.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_2189,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-3.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_673])). 3.21/1.11 3.21/1.11 cnf(c_2190,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-3.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_675])). 3.21/1.11 3.21/1.11 cnf(c_2191,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-3.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_810])). 3.21/1.11 3.21/1.11 cnf(c_2192,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-3.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_742])). 3.21/1.11 3.21/1.11 cnf(c_2193,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-3.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_2194,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-3.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_772])). 3.21/1.11 3.21/1.11 cnf(c_2195,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-3.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_813])). 3.21/1.11 3.21/1.11 cnf(c_2269,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-3.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2190])). 3.21/1.11 3.21/1.11 cnf(c_2272,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-3.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2190])). 3.21/1.11 3.21/1.11 cnf(c_2274,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_2190])). 3.21/1.11 3.21/1.11 cnf(c_2277,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-3.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2190])). 3.21/1.11 3.21/1.11 cnf(c_2278,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-3.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2274,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2298,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-4.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2272])). 3.21/1.11 3.21/1.11 cnf(c_2303,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-4.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2298])). 3.21/1.11 3.21/1.11 cnf(c_2305,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-4.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_2298])). 3.21/1.11 3.21/1.11 cnf(c_2324,plain, 3.21/1.11 ($sum_real($uminus_real($uminus_real($uminus_real(X0_2))),X0_2) = $uminus_real(0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2325,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$uminus_real(X1_2))) = $sum_real($uminus_real(X0_2),X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2326,plain, 3.21/1.11 ($sum_real($uminus_real($uminus_real(X0_2)),X1_2) = $uminus_real($uminus_real($sum_real(X0_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2327,plain, 3.21/1.11 ($sum_real($uminus_real(0.0),X0_2) = $uminus_real($uminus_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2328,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),X2_2))) = $sum_real($uminus_real($sum_real(X0_2,X2_2)),X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2330,plain, 3.21/1.11 ($sum_real($uminus_real($sum_real(X0_2,$uminus_real($uminus_real(X1_2)))),X1_2) = $uminus_real(X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2337,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,$sum_real($uminus_real(X0_2),X1_2))),$sum_real($uminus_real(X1_2),X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_1295])). 3.21/1.11 3.21/1.11 cnf(c_2339,plain, 3.21/1.11 ($less_real($uminus_real($sum_real(1.0,$sum_real($uminus_real(X0_2),X1_2))),$floor_real($sum_real($uminus_real(X1_2),X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_529])). 3.21/1.11 3.21/1.11 cnf(c_2340,plain, 3.21/1.11 ($sum_real($sum_real($uminus_real(X0_2),X1_2),$sum_real(X2_2,$sum_real($uminus_real(X1_2),X0_2))) = X2_2), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_832])). 3.21/1.11 3.21/1.11 cnf(c_2342,plain, 3.21/1.11 ($sum_real($sum_real($uminus_real(X0_2),X1_2),$sum_real($uminus_real(X1_2),X0_2)) = 0.0), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_57])). 3.21/1.11 3.21/1.11 cnf(c_2345,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($uminus_real(X1_2),X2_2)) = $uminus_real($sum_real($sum_real($uminus_real(X2_2),X1_2),X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_58])). 3.21/1.11 3.21/1.11 cnf(c_2346,plain, 3.21/1.11 ($sum_real($uminus_real($uminus_real(X0_2)),X1_2) = $sum_real(X0_2,$uminus_real($uminus_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_525])). 3.21/1.11 3.21/1.11 cnf(c_2347,plain, 3.21/1.11 ($less_real($sum_real($uminus_real(1.0),X0_2),$uminus_real($uminus_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_1327])). 3.21/1.11 3.21/1.11 cnf(c_2348,plain, 3.21/1.11 ($less_real($sum_real($uminus_real(1.0),X0_2),$floor_real($uminus_real($uminus_real(X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_535])). 3.21/1.11 3.21/1.11 cnf(c_2354,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($uminus_real($uminus_real(X0_2)))) = $uminus_real(0.0)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2324,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2356,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($uminus_real(X1_2))) = $sum_real(X0_2,X1_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_2346,c_51])). 3.21/1.11 3.21/1.11 cnf(c_2357,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X1_2)))) = 0.0), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2342,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2359,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X1_2,$uminus_real($uminus_real(X0_2))))) = $uminus_real(X1_2)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2330,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2360,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X1_2,X0_2))) = $uminus_real(X1_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_2359,c_51])). 3.21/1.11 3.21/1.11 cnf(c_2363,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X1_2))))) = X2_2), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2340,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2364,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($uminus_real(X1_2),X2_2)) = $uminus_real($sum_real($uminus_real(X2_2),$sum_real(X1_2,X0_2)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2345,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2365,plain, 3.21/1.11 ($uminus_real($sum_real($uminus_real(X0_2),$sum_real(X1_2,X2_2))) = $sum_real($uminus_real($sum_real(X1_2,X2_2)),X0_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_2364,c_568])). 3.21/1.11 3.21/1.11 cnf(c_2411,plain, 3.21/1.11 ($less_real($sum_real(-1.0,X0_2),$to_real_int($to_int_real(X0_2)))), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_1268])). 3.21/1.11 3.21/1.11 cnf(c_2414,plain, 3.21/1.11 ($less_real(0.0,$to_real_int($to_int_real($uminus_real(-1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2411])). 3.21/1.11 3.21/1.11 cnf(c_2415,plain, 3.21/1.11 ($less_real($sum_real(X0_2,-1.0),$to_real_int($to_int_real(X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_2411])). 3.21/1.11 3.21/1.11 cnf(c_2416,plain, 3.21/1.11 ($less_real(-1.0,$to_real_int($to_int_real(0.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_2411])). 3.21/1.11 3.21/1.11 cnf(c_2417,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$sum_real(-1.0,X1_2)),$to_real_int($to_int_real($sum_real(X0_2,X1_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_2411])). 3.21/1.11 3.21/1.11 cnf(c_2419,plain, 3.21/1.11 ($less_real(X0_2,$to_real_int($to_int_real($sum_real(X0_2,$uminus_real(-1.0)))))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2411])). 3.21/1.11 3.21/1.11 cnf(c_2420,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-1.0,X1_2))|$less_real(X0_2,$to_real_int($to_int_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_2411,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2455,plain, 3.21/1.11 (~$less_real(X0_2,-1.0)|$less_real(X0_2,$to_real_int($to_int_real(0.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_2416,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2463,plain, 3.21/1.11 (~$less_real(X0_2,-3.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_2141,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2472,plain, 3.21/1.11 (~$less_real(X0_2,-4.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_2305,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2497,plain, 3.21/1.11 (~$less_real(X0_2,0.0)|$less_real(X0_2,$to_real_int($to_int_real($uminus_real(-1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_2414,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2505,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-3.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_2508,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-3.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2174,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_2521,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-4.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2277])). 3.21/1.11 3.21/1.11 cnf(c_2528,plain, 3.21/1.11 (~$less_real($uminus_real(-4.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2521])). 3.21/1.11 3.21/1.11 cnf(c_2529,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-4.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_2521])). 3.21/1.11 3.21/1.11 cnf(c_2531,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-4.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_2521])). 3.21/1.11 3.21/1.11 cnf(c_2533,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-4.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2521])). 3.21/1.11 3.21/1.11 cnf(c_2534,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-4.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2535,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-4.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_2536,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-4.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_2537,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-4.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_673])). 3.21/1.11 3.21/1.11 cnf(c_2538,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-4.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_675])). 3.21/1.11 3.21/1.11 cnf(c_2539,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-4.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_810])). 3.21/1.11 3.21/1.11 cnf(c_2540,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-4.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_742])). 3.21/1.11 3.21/1.11 cnf(c_2541,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-4.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_2542,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-4.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_772])). 3.21/1.11 3.21/1.11 cnf(c_2543,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-4.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_813])). 3.21/1.11 3.21/1.11 cnf(c_2622,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-4.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2538])). 3.21/1.11 3.21/1.11 cnf(c_2625,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-4.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2538])). 3.21/1.11 3.21/1.11 cnf(c_2627,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_2538])). 3.21/1.11 3.21/1.11 cnf(c_2630,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-4.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2538])). 3.21/1.11 3.21/1.11 cnf(c_2631,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-4.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2627,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2643,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-5.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2625])). 3.21/1.11 3.21/1.11 cnf(c_2648,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-5.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2643])). 3.21/1.11 3.21/1.11 cnf(c_2650,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-5.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_2643])). 3.21/1.11 3.21/1.11 cnf(c_2660,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-4.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_2664,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,-4.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2521,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_2682,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-5.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2630])). 3.21/1.11 3.21/1.11 cnf(c_2689,plain, 3.21/1.11 (~$less_real($uminus_real(-5.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2682])). 3.21/1.11 3.21/1.11 cnf(c_2690,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-5.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_2682])). 3.21/1.11 3.21/1.11 cnf(c_2692,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-5.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_2682])). 3.21/1.11 3.21/1.11 cnf(c_2694,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-5.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2682])). 3.21/1.11 3.21/1.11 cnf(c_2695,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-5.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_55])). 3.21/1.11 3.21/1.11 cnf(c_2696,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,-5.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_2697,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-5.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_2698,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-5.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_2699,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-5.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_673])). 3.21/1.11 3.21/1.11 cnf(c_2700,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-5.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_675])). 3.21/1.11 3.21/1.11 cnf(c_2701,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-5.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_810])). 3.21/1.11 3.21/1.11 cnf(c_2702,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-5.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_742])). 3.21/1.11 3.21/1.11 cnf(c_2703,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-5.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_2704,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-5.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_772])). 3.21/1.11 3.21/1.11 cnf(c_2705,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-5.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_813])). 3.21/1.11 3.21/1.11 cnf(c_2801,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X1_2,$uminus_real(X2_2)))) = $sum_real(X2_2,$sum_real(X0_2,$uminus_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2802,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X1_2,0.0))) = $sum_real(0.0,$sum_real(X0_2,$uminus_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2803,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$sum_real(X2_2,$uminus_real(X3_2))) = $sum_real(X2_2,$uminus_real($sum_real(X3_2,$sum_real(X1_2,$uminus_real(X0_2)))))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2804,plain, 3.21/1.11 ($sum_real($sum_real($uminus_real(X0_2),X1_2),$sum_real(X2_2,$uminus_real(X3_2))) = $sum_real(X2_2,$uminus_real($sum_real(X3_2,$sum_real($uminus_real(X1_2),X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2806,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X0_2,X1_2))) = $sum_real($uminus_real(X1_2),0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2807,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($uminus_real(X1_2),X2_2)) = $sum_real(X2_2,$uminus_real($sum_real(X1_2,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2808,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$uminus_real($sum_real(X1_2,X2_2))) = $sum_real($uminus_real(X2_2),$uminus_real($sum_real(X1_2,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2810,plain, 3.21/1.11 ($sum_real(0.0,$uminus_real($sum_real(X0_2,X1_2))) = $sum_real($uminus_real(X1_2),$uminus_real(X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2811,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real($uminus_real(X1_2),X2_2))) = $sum_real($uminus_real(X2_2),$sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_51,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2812,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,0.0)) = $sum_real(X1_2,$uminus_real($sum_real(0.0,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_424,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2813,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X3_2)))) = $sum_real(X1_2,$uminus_real($sum_real($sum_real(X3_2,$uminus_real(X2_2)),X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2814,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real($uminus_real(X2_2),X3_2))) = $sum_real(X1_2,$uminus_real($sum_real($sum_real($uminus_real(X3_2),X2_2),X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2817,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),$sum_real(X2_2,$uminus_real(X3_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$sum_real(X2_2,$uminus_real($sum_real(X3_2,X1_2))))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_2818,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X3_2)))) = $sum_real(X1_2,$sum_real(X2_2,$uminus_real($sum_real(X3_2,X0_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_357])). 3.21/1.11 3.21/1.11 cnf(c_2819,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real($uminus_real(X2_2),$sum_real(X0_2,$uminus_real(X1_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_2820,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$uminus_real(X2_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_781])). 3.21/1.11 3.21/1.11 cnf(c_2821,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($sum_real(X1_2,$uminus_real(X2_2)),X3_2)) = $sum_real($sum_real(X1_2,$uminus_real($sum_real(X2_2,X0_2))),X3_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_60])). 3.21/1.11 3.21/1.11 cnf(c_2822,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$uminus_real(X2_2)) = $sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2823,plain, 3.21/1.11 (~$less_real($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X1_2,$uminus_real($sum_real(X2_2,X0_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_2825,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,1.0))),$sum_real(X0_2,$uminus_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_1294])). 3.21/1.11 3.21/1.11 cnf(c_2826,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,1.0))),$floor_real($sum_real(X0_2,$uminus_real(X1_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_381])). 3.21/1.11 3.21/1.11 cnf(c_2827,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))) = $sum_real(X0_2,$uminus_real($sum_real(X2_2,X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_357])). 3.21/1.11 3.21/1.11 cnf(c_2828,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real($uminus_real(X1_2),X1_2))) = X0_2), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_832])). 3.21/1.11 3.21/1.11 cnf(c_2829,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(1.0,$uminus_real(X1_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,$uminus_real($sum_real(X1_2,X0_2))))| 3.21/1.11 $less_real($sum_real($uminus_real(X0_2),$uminus_real(X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_760])). 3.21/1.11 3.21/1.11 cnf(c_2830,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($uminus_real(X1_2),$uminus_real(X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_675])). 3.21/1.11 3.21/1.11 cnf(c_2831,plain, 3.21/1.11 ($sum_real($uminus_real($sum_real(X0_2,$uminus_real(X1_2))),X2_2) = $uminus_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_527])). 3.21/1.11 3.21/1.11 cnf(c_2832,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($uminus_real(X2_2),$sum_real(X0_2,$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_2833,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real($uminus_real(X2_2),$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_772])). 3.21/1.11 3.21/1.11 cnf(c_2834,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X1_2,$uminus_real(X1_2)))) = X0_2), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2828,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2836,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(X0_2,X1_2))) = $sum_real(0.0,$uminus_real(X1_2))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2806,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2838,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($sum_real(0.0,X1_2))) = $sum_real(0.0,$sum_real($uminus_real(X1_2),X0_2))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2812,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2839,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))) = $sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2822,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2842,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))) = $sum_real($sum_real($uminus_real(X0_2),X1_2),X2_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_2831,c_2325])). 3.21/1.11 3.21/1.11 cnf(c_2843,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))) = $sum_real($uminus_real(X0_2),$sum_real(X1_2,X2_2))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2842,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2846,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real($uminus_real(X2_2),X3_2))) = $sum_real(X1_2,$sum_real($uminus_real($sum_real(X2_2,X0_2)),X3_2))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2821,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2852,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_2823,c_531])). 3.21/1.11 3.21/1.11 cnf(c_2855,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2820,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2858,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real($uminus_real(X2_2),X3_2))) = $sum_real(X1_2,$uminus_real($sum_real($uminus_real(X3_2),$sum_real(X2_2,X0_2))))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2814,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2859,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X3_2)))) = $sum_real(X1_2,$uminus_real($sum_real(X3_2,$sum_real($uminus_real(X2_2),X0_2))))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2813,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2860,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$sum_real(X2_2,$uminus_real(X3_2)))) = $sum_real(X2_2,$uminus_real($sum_real(X3_2,$sum_real($uminus_real(X1_2),X0_2))))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2804,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2861,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X1_2),$sum_real(X2_2,$uminus_real(X3_2)))) = $sum_real(X2_2,$uminus_real($sum_real(X3_2,$sum_real(X1_2,$uminus_real(X0_2)))))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2803,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2866,plain, 3.21/1.11 ($sum_real(1.0,$sum_real($uminus_real(X0_2),$uminus_real(X1_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,$uminus_real($sum_real(X1_2,X0_2))))| 3.21/1.11 $less_real($sum_real($uminus_real(X0_2),$uminus_real(X1_2)),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_2829,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_2867,plain, 3.21/1.11 ($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,$uminus_real($sum_real(X1_2,X0_2))))| 3.21/1.11 $less_real($uminus_real($sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_2866,c_534])). 3.21/1.11 3.21/1.11 cnf(c_2997,plain, 3.21/1.11 ($less_real($sum_real(X0_2,$sum_real(X1_2,-1.0)),$to_real_int($to_int_real($sum_real(X0_2,X1_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_2415])). 3.21/1.11 3.21/1.11 cnf(c_2999,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(X1_2,-1.0))|$less_real(X0_2,$to_real_int($to_int_real(X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_2415,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3038,plain, 3.21/1.11 (~$less_real(2.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_1842])). 3.21/1.11 3.21/1.11 cnf(c_3043,plain, 3.21/1.11 (sP0_iProver_def = 2.0|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,2.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3038])). 3.21/1.11 3.21/1.11 cnf(c_3058,plain, 3.21/1.11 (~$less_real(3.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2181])). 3.21/1.11 3.21/1.11 cnf(c_3063,plain, 3.21/1.11 (sP0_iProver_def = 3.0|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,3.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3058])). 3.21/1.11 3.21/1.11 cnf(c_3068,plain, 3.21/1.11 (~$less_real(4.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2528])). 3.21/1.11 3.21/1.11 cnf(c_3073,plain, 3.21/1.11 (sP0_iProver_def = 4.0|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,4.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3068])). 3.21/1.11 3.21/1.11 cnf(c_3082,plain, 3.21/1.11 (~$less_real(X0_2,-5.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_2650,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3094,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-5.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2700])). 3.21/1.11 3.21/1.11 cnf(c_3097,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-5.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_2700])). 3.21/1.11 3.21/1.11 cnf(c_3099,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-5.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_2700])). 3.21/1.11 3.21/1.11 cnf(c_3102,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-5.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_2700])). 3.21/1.11 3.21/1.11 cnf(c_3103,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-5.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3099,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3129,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X1_2,X0_2)),sP0_iProver_def)), 3.21/1.11 inference(demodulation,[status(thm)],[c_2830,c_534])). 3.21/1.11 3.21/1.11 cnf(c_3136,plain, 3.21/1.11 ($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))) = sP0_iProver_def| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))))| 3.21/1.11 $less_real($uminus_real($sum_real(X1_2,X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3138,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$uminus_real(X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real($uminus_real(X0_2),X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3139,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real($uminus_real(X0_2),X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X0_2,$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3141,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(0.0)),sP0_iProver_def)|$less_real($uminus_real($sum_real($uminus_real(X0_2),X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3143,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($uminus_real($sum_real(X0_2,X1_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real($uminus_real(X0_2),$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_58,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3144,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(X0_2)),sP0_iProver_def)|$less_real($uminus_real($sum_real(0.0,X0_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3146,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,$sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X2_2,$sum_real(X0_2,X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3147,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(X0_2)),sP0_iProver_def)|$less_real($uminus_real($sum_real(X0_2,0.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3148,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,$sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real($sum_real(X0_2,X2_2),X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3149,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(X0_2)),sP0_iProver_def)|$less_real($uminus_real($sum_real($sum_real(X0_2,$uminus_real(X1_2)),X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3150,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2))))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$uminus_real(X2_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_531,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3151,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(X0_2)),sP0_iProver_def)|$less_real($uminus_real(X0_2),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3147,c_59])). 3.21/1.11 3.21/1.11 cnf(c_3155,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(0.0)),sP0_iProver_def)|$less_real($uminus_real($sum_real(X0_2,$uminus_real(X0_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3141,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3157,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real(X0_2)),sP0_iProver_def)|$less_real($uminus_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X1_2)))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3149,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3159,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real($uminus_real(X0_2),X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real($uminus_real(X0_2),X1_2),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3139,c_2325])). 3.21/1.11 3.21/1.11 cnf(c_3162,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,$uminus_real(X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$uminus_real(X1_2)),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3138,c_1953])). 3.21/1.11 3.21/1.11 cnf(c_3166,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,$sum_real(X1_2,X2_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X0_2,$sum_real(X2_2,X1_2))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3148,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3172,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2))))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2)))),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3150,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3173,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real($uminus_real(X0_2),$sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real(X0_2,$uminus_real($sum_real(X2_2,X1_2)))),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3172,c_2827,c_2843])). 3.21/1.11 3.21/1.11 cnf(c_3212,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-6.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_3097])). 3.21/1.11 3.21/1.11 cnf(c_3217,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-6.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3212])). 3.21/1.11 3.21/1.11 cnf(c_3219,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-6.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_3212])). 3.21/1.11 3.21/1.11 cnf(c_3241,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-5.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_2702])). 3.21/1.11 3.21/1.11 cnf(c_3246,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-5.0,-5.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_2682,c_2702])). 3.21/1.11 3.21/1.11 cnf(c_3261,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-6.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_3102])). 3.21/1.11 3.21/1.11 cnf(c_3268,plain, 3.21/1.11 (~$less_real($uminus_real(-6.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_3261])). 3.21/1.11 3.21/1.11 cnf(c_3269,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_3261])). 3.21/1.11 3.21/1.11 cnf(c_3271,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-6.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_3261])). 3.21/1.11 3.21/1.11 cnf(c_3273,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-6.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_3261])). 3.21/1.11 3.21/1.11 cnf(c_3274,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-6.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3275,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-5.0,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_2702])). 3.21/1.11 3.21/1.11 cnf(c_3276,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_3277,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_3278,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_3279,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-6.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_673])). 3.21/1.11 3.21/1.11 cnf(c_3280,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-6.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_675])). 3.21/1.11 3.21/1.11 cnf(c_3281,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_810])). 3.21/1.11 3.21/1.11 cnf(c_3282,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-6.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_742])). 3.21/1.11 3.21/1.11 cnf(c_3283,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-6.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_3284,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-6.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_772])). 3.21/1.11 3.21/1.11 cnf(c_3285,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-6.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_813])). 3.21/1.11 3.21/1.11 cnf(c_3445,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-6.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3280])). 3.21/1.11 3.21/1.11 cnf(c_3448,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-6.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_3280])). 3.21/1.11 3.21/1.11 cnf(c_3450,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-6.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_3280])). 3.21/1.11 3.21/1.11 cnf(c_3453,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-6.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_3280])). 3.21/1.11 3.21/1.11 cnf(c_3454,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-6.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3450,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3496,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-7.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_3448])). 3.21/1.11 3.21/1.11 cnf(c_3501,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-7.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3496])). 3.21/1.11 3.21/1.11 cnf(c_3503,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-7.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_3496])). 3.21/1.11 3.21/1.11 cnf(c_3515,plain, 3.21/1.11 ($sum_real($sum_real(X0_2,$uminus_real(X1_2)),$uminus_real(X2_2)) = $uminus_real($sum_real($sum_real(X1_2,$uminus_real(X0_2)),X2_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_534])). 3.21/1.11 3.21/1.11 cnf(c_3516,plain, 3.21/1.11 ($sum_real($sum_real($uminus_real(X0_2),X1_2),$uminus_real(X2_2)) = $uminus_real($sum_real($sum_real($uminus_real(X1_2),X0_2),X2_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_534])). 3.21/1.11 3.21/1.11 cnf(c_3519,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))) = $uminus_real($sum_real(X0_2,$sum_real(X2_2,$uminus_real(X1_2))))), 3.21/1.11 inference(superposition,[status(thm)],[c_525,c_534])). 3.21/1.11 3.21/1.11 cnf(c_3520,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($uminus_real(X1_2),X2_2)) = $uminus_real($sum_real(X0_2,$sum_real($uminus_real(X2_2),X1_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_527,c_534])). 3.21/1.11 3.21/1.11 cnf(c_3525,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2)))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_1575])). 3.21/1.11 3.21/1.11 cnf(c_3526,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))) = $sum_real(X1_2,$uminus_real($sum_real(X0_2,X2_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_357])). 3.21/1.11 3.21/1.11 cnf(c_3528,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($uminus_real($sum_real(X0_2,X1_2)))),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real($uminus_real(X1_2),$uminus_real(X0_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_3129])). 3.21/1.11 3.21/1.11 cnf(c_3529,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real($uminus_real(X0_2),$uminus_real(X1_2))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_1601])). 3.21/1.11 3.21/1.11 cnf(c_3531,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real($uminus_real(X1_2),X2_2)) = $sum_real($uminus_real($sum_real(X0_2,X1_2)),X2_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_60])). 3.21/1.11 3.21/1.11 cnf(c_3536,plain, 3.21/1.11 ($sum_real(X0_2,$uminus_real($uminus_real(X1_2))) = $uminus_real($uminus_real($sum_real(X1_2,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_525])). 3.21/1.11 3.21/1.11 cnf(c_3538,plain, 3.21/1.11 ($sum_real($uminus_real($uminus_real(X0_2)),X1_2) = $uminus_real($uminus_real($sum_real(X1_2,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_527])). 3.21/1.11 3.21/1.11 cnf(c_3539,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$uminus_real($sum_real(X1_2,X2_2))) = $sum_real($uminus_real(X1_2),$uminus_real($sum_real(X2_2,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_534,c_531])). 3.21/1.11 3.21/1.11 cnf(c_3542,plain, 3.21/1.11 ($uminus_real($uminus_real($sum_real(X0_2,X1_2))) = $sum_real(X1_2,X0_2)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3538,c_51])). 3.21/1.11 3.21/1.11 cnf(c_3544,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$sum_real($uminus_real(X1_2),X2_2))) = $sum_real(X1_2,$uminus_real($sum_real(X2_2,X0_2)))), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3520,c_2807])). 3.21/1.11 3.21/1.11 cnf(c_3545,plain, 3.21/1.11 ($uminus_real($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X2_2)))) = $sum_real(X2_2,$uminus_real($sum_real(X1_2,X0_2)))), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3519,c_531])). 3.21/1.11 3.21/1.11 cnf(c_3546,plain, 3.21/1.11 ($sum_real($uminus_real(X0_2),$sum_real(X1_2,$uminus_real(X2_2))) = $uminus_real($sum_real($uminus_real(X1_2),$sum_real(X0_2,X2_2)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3516,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3547,plain, 3.21/1.11 ($uminus_real($sum_real($uminus_real(X0_2),$sum_real(X1_2,X2_2))) = $sum_real(X0_2,$uminus_real($sum_real(X2_2,X1_2)))), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3546,c_531])). 3.21/1.11 3.21/1.11 cnf(c_3548,plain, 3.21/1.11 ($sum_real(X0_2,$sum_real($uminus_real(X1_2),$uminus_real(X2_2))) = $uminus_real($sum_real(X1_2,$sum_real($uminus_real(X0_2),X2_2)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3515,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3550,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$uminus_real($sum_real(X0_2,X1_2))),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3529,c_534])). 3.21/1.11 3.21/1.11 cnf(c_3553,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($uminus_real($sum_real($uminus_real(X1_2),$uminus_real(X0_2))),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3528,c_1954,c_2356])). 3.21/1.11 3.21/1.11 cnf(c_3556,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real($sum_real(X1_2,X2_2))),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-1.0,$sum_real(X0_2,$uminus_real($sum_real(X2_2,X1_2)))),sP0_iProver_def)), 3.21/1.11 inference(light_normalisation,[status(thm)],[c_3525,c_2827])). 3.21/1.11 3.21/1.11 cnf(c_3574,plain, 3.21/1.11 (~$less_real(5.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_2689])). 3.21/1.11 3.21/1.11 cnf(c_3579,plain, 3.21/1.11 (sP0_iProver_def = 5.0|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,5.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3574])). 3.21/1.11 3.21/1.11 cnf(c_3606,plain, 3.21/1.11 (~$less_real(6.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_3268])). 3.21/1.11 3.21/1.11 cnf(c_3611,plain, 3.21/1.11 (sP0_iProver_def = 6.0|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,6.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3606])). 3.21/1.11 3.21/1.11 cnf(c_3621,plain, 3.21/1.11 (~$less_real(X0_2,$floor_real(X1_2))|$floor_real(X1_2) = X1_2|$less_real(X0_2,X1_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_397,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3634,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(X1_2,X2_2))|$less_real(X0_2,$sum_real(X1_2,$sum_real(X2_2,1.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_464])). 3.21/1.11 3.21/1.11 cnf(c_3636,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|~$less_real(X2_2,X0_2)|$less_real(X2_2,$sum_real(X1_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_464,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3637,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_464,c_56])). 3.21/1.11 3.21/1.11 cnf(c_3649,plain, 3.21/1.11 (~$less_real(X0_2,-6.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_3219,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3668,plain, 3.21/1.11 (~$less_real(X0_2,-7.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_3503,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3690,plain, 3.21/1.11 (~$less_real($sum_real($sum_real(X0_2,1.0),1.0),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_464,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3691,plain, 3.21/1.11 ($less_real(X0_2,$sum_real($sum_real(X0_2,1.0),1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_52,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3693,plain, 3.21/1.11 ($less_real(X0_2,$sum_real($sum_real(1.0,X0_2),1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_382,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3694,plain, 3.21/1.11 ($less_real(-1.0,$sum_real(1.0,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_646,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3695,plain, 3.21/1.11 ($less_real(0.0,$sum_real(1.0,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3696,plain, 3.21/1.11 ($less_real(-1.0,$sum_real(0.0,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_634,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3697,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3699,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),$sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3700,plain, 3.21/1.11 (~$less_real(1.0,0.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_383,c_3637])). 3.21/1.11 3.21/1.11 cnf(c_3701,plain, 3.21/1.11 ($less_real(-1.0,$sum_real(1.0,0.0))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3696,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3702,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(1.0,$sum_real(X0_2,1.0)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3693,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3703,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(X0_2,$sum_real(1.0,1.0)))), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3691,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3704,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,1.0)),X0_2)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_3690,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_3721,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-6.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3282])). 3.21/1.11 3.21/1.11 cnf(c_3727,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-6.0,-6.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3261,c_3282])). 3.21/1.11 3.21/1.11 cnf(c_3751,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-7.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_3453])). 3.21/1.11 3.21/1.11 cnf(c_3758,plain, 3.21/1.11 (~$less_real($uminus_real(-7.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_3751])). 3.21/1.11 3.21/1.11 cnf(c_3759,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_3751])). 3.21/1.11 3.21/1.11 cnf(c_3761,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-7.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_3751])). 3.21/1.11 3.21/1.11 cnf(c_3763,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-7.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_3751])). 3.21/1.11 3.21/1.11 cnf(c_3764,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-7.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_55])). 3.21/1.11 3.21/1.11 cnf(c_3765,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-6.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_3282])). 3.21/1.11 3.21/1.11 cnf(c_3766,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-5.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_2702])). 3.21/1.11 3.21/1.11 cnf(c_3767,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_3768,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_3769,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_3770,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-7.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_673])). 3.21/1.11 3.21/1.11 cnf(c_3771,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-7.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_675])). 3.21/1.11 3.21/1.11 cnf(c_3772,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_810])). 3.21/1.11 3.21/1.11 cnf(c_3773,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-7.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_742])). 3.21/1.11 3.21/1.11 cnf(c_3774,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-7.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_3775,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-7.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_772])). 3.21/1.11 3.21/1.11 cnf(c_3776,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-7.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_813])). 3.21/1.11 3.21/1.11 cnf(c_4011,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-7.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3771])). 3.21/1.11 3.21/1.11 cnf(c_4014,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-7.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_3771])). 3.21/1.11 3.21/1.11 cnf(c_4016,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-7.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_3771])). 3.21/1.11 3.21/1.11 cnf(c_4019,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-7.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_3771])). 3.21/1.11 3.21/1.11 cnf(c_4020,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_4016,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_4032,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-8.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_4014])). 3.21/1.11 3.21/1.11 cnf(c_4037,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-8.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_4032])). 3.21/1.11 3.21/1.11 cnf(c_4039,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-8.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_4032])). 3.21/1.11 3.21/1.11 cnf(c_4049,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-7.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_3773])). 3.21/1.11 3.21/1.11 cnf(c_4056,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-7.0,-7.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_3751,c_3773])). 3.21/1.11 3.21/1.11 cnf(c_4073,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-8.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_4019])). 3.21/1.11 3.21/1.11 cnf(c_4080,plain, 3.21/1.11 (~$less_real($uminus_real(-8.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_4073])). 3.21/1.11 3.21/1.11 cnf(c_4081,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_4073])). 3.21/1.11 3.21/1.11 cnf(c_4083,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-8.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_4073])). 3.21/1.11 3.21/1.11 cnf(c_4085,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-8.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_4073])). 3.21/1.11 3.21/1.11 cnf(c_4086,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-8.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_55])). 3.21/1.11 3.21/1.11 cnf(c_4087,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-7.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_3773])). 3.21/1.11 3.21/1.11 cnf(c_4088,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-6.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_3282])). 3.21/1.11 3.21/1.11 cnf(c_4089,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-5.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_2702])). 3.21/1.11 3.21/1.11 cnf(c_4090,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_4091,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_4092,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_4093,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-8.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_673])). 3.21/1.11 3.21/1.11 cnf(c_4094,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-8.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_675])). 3.21/1.11 3.21/1.11 cnf(c_4095,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_810])). 3.21/1.11 3.21/1.11 cnf(c_4096,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-8.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_742])). 3.21/1.11 3.21/1.11 cnf(c_4097,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-8.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_4098,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-8.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_772])). 3.21/1.11 3.21/1.11 cnf(c_4099,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-8.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_813])). 3.21/1.11 3.21/1.11 cnf(c_4251,plain, 3.21/1.11 (~$less_real($sum_real(1.0,$sum_real(X0_2,1.0)),X0_2)), 3.21/1.11 inference(superposition,[status(thm)],[c_464,c_3697])). 3.21/1.11 3.21/1.11 cnf(c_4254,plain, 3.21/1.11 ($less_real(X0_2,$sum_real(1.0,$sum_real(1.0,X0_2)))), 3.21/1.11 inference(superposition,[status(thm)],[c_382,c_3697])). 3.21/1.11 3.21/1.11 cnf(c_4259,plain, 3.21/1.11 (~$less_real(0.0,$uminus_real(1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_3697])). 3.21/1.11 3.21/1.11 cnf(c_4262,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),$sum_real(X0_2,X1_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_3697])). 3.21/1.11 3.21/1.11 cnf(c_4264,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(X0_2,$uminus_real(1.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_3697])). 3.21/1.11 3.21/1.11 cnf(c_4275,plain, 3.21/1.11 ($less_real($sum_real(X0_2,X1_2),$sum_real(X0_2,$sum_real(X1_2,$sum_real(1.0,1.0))))), 3.21/1.11 inference(superposition,[status(thm)],[c_60,c_3703])). 3.21/1.11 3.21/1.11 cnf(c_4278,plain, 3.21/1.11 (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(X1_2,$sum_real(1.0,1.0)))), 3.21/1.11 inference(superposition,[status(thm)],[c_3703,c_55])). 3.21/1.11 3.21/1.11 cnf(c_4307,plain, 3.21/1.11 (~$less_real(7.0,sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_3758])). 3.21/1.11 3.21/1.11 cnf(c_4312,plain, 3.21/1.11 (sP0_iProver_def = 7.0|$less_real(0.0,sP0_iProver_def)|$less_real(sP0_iProver_def,7.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_4307])). 3.21/1.11 3.21/1.11 cnf(c_4317,plain, 3.21/1.11 (~$less_real(X0_2,-1.0)|$less_real(X0_2,$sum_real(1.0,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_3694,c_55])). 3.21/1.11 3.21/1.11 cnf(c_4321,plain, 3.21/1.11 (~$less_real(X0_2,0.0)|$less_real(X0_2,$sum_real(1.0,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_3695,c_55])). 3.21/1.11 3.21/1.11 cnf(c_4330,plain, 3.21/1.11 (~$less_real(X0_2,-8.0)|$less_real(X0_2,sP0_iProver_def)|$less_real(sP0_iProver_def,1.0)), 3.21/1.11 inference(superposition,[status(thm)],[c_4039,c_55])). 3.21/1.11 3.21/1.11 cnf(c_4339,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-8.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_4094])). 3.21/1.11 3.21/1.11 cnf(c_4342,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-8.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_4094])). 3.21/1.11 3.21/1.11 cnf(c_4344,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-8.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_4094])). 3.21/1.11 3.21/1.11 cnf(c_4347,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-8.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_4094])). 3.21/1.11 3.21/1.11 cnf(c_4348,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_4344,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_4360,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real(-9.0,sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_4342])). 3.21/1.11 3.21/1.11 cnf(c_4365,plain, 3.21/1.11 (0.0 = sP0_iProver_def|$less_real(sP0_iProver_def,0.0)|$less_real(-9.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_4360])). 3.21/1.11 3.21/1.11 cnf(c_4367,plain, 3.21/1.11 ($less_real(sP0_iProver_def,1.0)|$less_real(-9.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_420,c_4360])). 3.21/1.11 3.21/1.11 cnf(c_4377,plain, 3.21/1.11 ($sum_real(X0_2,1.0) = sP0_iProver_def|$less_real($sum_real(-8.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(X0_2,1.0))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_4096])). 3.21/1.11 3.21/1.11 cnf(c_4385,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-8.0,-8.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4073,c_4096])). 3.21/1.11 3.21/1.11 cnf(c_4403,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-9.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(smt_theory_normalisation,[status(thm)],[c_4347])). 3.21/1.11 3.21/1.11 cnf(c_4410,plain, 3.21/1.11 (~$less_real($uminus_real(-9.0),sP0_iProver_def)|$less_real(0.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_4403])). 3.21/1.11 3.21/1.11 cnf(c_4411,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(X0_2,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_61,c_4403])). 3.21/1.11 3.21/1.11 cnf(c_4413,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,X1_2),sP0_iProver_def)|$less_real($sum_real(X0_2,$sum_real(-9.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_357,c_4403])). 3.21/1.11 3.21/1.11 cnf(c_4415,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$uminus_real(-9.0)),sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_4403])). 3.21/1.11 3.21/1.11 cnf(c_4416,plain, 3.21/1.11 (~$less_real(X0_2,$sum_real(-9.0,X1_2))|~$less_real(X1_2,sP0_iProver_def)| 3.21/1.11 $less_real(X0_2,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_55])). 3.21/1.11 3.21/1.11 cnf(c_4417,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-8.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_4096])). 3.21/1.11 3.21/1.11 cnf(c_4418,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-7.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_3773])). 3.21/1.11 3.21/1.11 cnf(c_4419,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-6.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_3282])). 3.21/1.11 3.21/1.11 cnf(c_4420,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-5.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_2702])). 3.21/1.11 3.21/1.11 cnf(c_4421,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-4.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_2540])). 3.21/1.11 3.21/1.11 cnf(c_4422,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-3.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_2192])). 3.21/1.11 3.21/1.11 cnf(c_4423,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-2.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_1852])). 3.21/1.11 3.21/1.11 cnf(c_4424,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real(-9.0,sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_673])). 3.21/1.11 3.21/1.11 cnf(c_4425,plain, 3.21/1.11 (~$less_real($sum_real(1.0,X0_2),sP0_iProver_def)|$less_real($sum_real(-9.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_675])). 3.21/1.11 3.21/1.11 cnf(c_4426,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(X0_2,-9.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_810])). 3.21/1.11 3.21/1.11 cnf(c_4427,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,1.0),sP0_iProver_def)|$less_real($sum_real(-9.0,X0_2),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_742])). 3.21/1.11 3.21/1.11 cnf(c_4428,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(X0_2,$sum_real(-9.0,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_1014])). 3.21/1.11 3.21/1.11 cnf(c_4429,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(1.0,X1_2)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-9.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_772])). 3.21/1.11 3.21/1.11 cnf(c_4430,plain, 3.21/1.11 (~$less_real($sum_real(X0_2,$sum_real(X1_2,1.0)),sP0_iProver_def)| 3.21/1.11 $less_real($sum_real(-9.0,$sum_real(X0_2,X1_2)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_4403,c_813])). 3.21/1.11 3.21/1.11 cnf(c_4579,plain, 3.21/1.11 ($sum_real(1.0,X0_2) = sP0_iProver_def|$less_real($sum_real(-9.0,X0_2),sP0_iProver_def)| 3.21/1.11 $less_real(sP0_iProver_def,$sum_real(1.0,X0_2))), 3.21/1.11 inference(superposition,[status(thm)],[c_54,c_4425])). 3.21/1.11 3.21/1.11 cnf(c_4582,plain, 3.21/1.11 (~$less_real(0.0,sP0_iProver_def)|$less_real($sum_real(-9.0,$uminus_real(1.0)),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_57,c_4425])). 3.21/1.11 3.21/1.11 cnf(c_4584,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(-9.0,0.0),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_59,c_4425])). 3.21/1.11 3.21/1.11 cnf(c_4587,plain, 3.21/1.11 (~$less_real(X0_2,sP0_iProver_def)|$less_real($sum_real(-9.0,$sum_real(X0_2,$uminus_real(1.0))),sP0_iProver_def)), 3.21/1.11 inference(superposition,[status(thm)],[c_832,c_4425])). 3.21/1.11 3.21/1.11 cnf(c_4588,plain, 3.21/1.11 (~$less_real(1.0,sP0_iProver_def)|$less_real($sum_real(0.0,-9.0),sP0_iProver_def)), 3.21/1.11 inference(theory_normalisation,[status(thm)],[c_4584,c_60,c_61])). 3.21/1.11 3.21/1.11 cnf(c_4633,plain, 3.21/1.11 ($false), 3.21/1.11 inference(smt_impl_just, 3.21/1.11 [status(thm)], 3.21/1.11 [c_4588,c_4587,c_4582,c_4579,c_4430,c_4429,c_4428,c_4427, 3.21/1.11 c_4426,c_4425,c_4424,c_4423,c_4422,c_4421,c_4420,c_4419, 3.21/1.11 c_4418,c_4417,c_4416,c_4415,c_4413,c_4410,c_4411,c_4403, 3.21/1.11 c_4385,c_4377,c_4367,c_4365,c_4360,c_4348,c_4347,c_4342, 3.21/1.11 c_4339,c_4330,c_4321,c_4317,c_4312,c_4307,c_4278,c_4275, 3.21/1.11 c_4264,c_4262,c_4259,c_4254,c_4251,c_4099,c_4098,c_4097, 3.21/1.11 c_4096,c_4095,c_4094,c_4093,c_4092,c_4091,c_4090,c_4089, 3.21/1.11 c_4088,c_4087,c_4086,c_4085,c_4083,c_4080,c_4081,c_4073, 3.21/1.11 c_4056,c_4049,c_4039,c_4037,c_4032,c_4020,c_4019,c_4014, 3.21/1.11 c_4011,c_3776,c_3775,c_3774,c_3773,c_3772,c_3771,c_3770, 3.21/1.11 c_3769,c_3768,c_3767,c_3766,c_3765,c_3764,c_3763,c_3761, 3.21/1.11 c_3758,c_3759,c_3751,c_3727,c_3721,c_3704,c_3703,c_3702, 3.21/1.11 c_3701,c_3700,c_3699,c_3697,c_3695,c_3694,c_3668,c_3649, 3.21/1.11 c_3637,c_3636,c_3634,c_3621,c_3611,c_3606,c_3579,c_3574, 3.21/1.11 c_3556,c_3553,c_3550,c_3548,c_3547,c_3546,c_3545,c_3544, 3.21/1.11 c_3542,c_3539,c_3538,c_3536,c_3531,c_3529,c_3528,c_3525, 3.21/1.11 c_3526,c_3520,c_3519,c_3503,c_3501,c_3496,c_3454,c_3453, 3.21/1.11 c_3448,c_3445,c_3285,c_3284,c_3283,c_3282,c_3281,c_3280, 3.21/1.11 c_3279,c_3278,c_3277,c_3276,c_3275,c_3274,c_3273,c_3271, 3.21/1.11 c_3268,c_3269,c_3261,c_3246,c_3241,c_3219,c_3217,c_3212, 3.21/1.11 c_3173,c_3172,c_3166,c_3162,c_3159,c_3157,c_3155,c_3151, 3.21/1.11 c_3147,c_3146,c_3144,c_3143,c_3139,c_3138,c_3136,c_3129, 3.21/1.11 c_3103,c_3102,c_3097,c_3094,c_3082,c_3073,c_3068,c_3063, 3.21/1.11 c_3058,c_3043,c_3038,c_2999,c_2997,c_2867,c_2866,c_2861, 3.21/1.11 c_2860,c_2859,c_2858,c_2855,c_2852,c_2846,c_2843,c_2842, 3.21/1.11 c_2839,c_2838,c_2836,c_2834,c_2833,c_2832,c_2831,c_2830, 3.21/1.11 c_2826,c_2825,c_2823,c_2819,c_2817,c_2818,c_2811,c_2810, 3.21/1.11 c_2808,c_2807,c_2802,c_2801,c_2827,c_2705,c_2704,c_2703, 3.21/1.11 c_2702,c_2701,c_2700,c_2699,c_2698,c_2697,c_2696,c_2695, 3.21/1.11 c_2694,c_2692,c_2689,c_2690,c_2682,c_2664,c_2660,c_2650, 3.21/1.11 c_2648,c_2643,c_2631,c_2630,c_2625,c_2622,c_2543,c_2542, 3.21/1.11 c_2541,c_2540,c_2539,c_2538,c_2537,c_2536,c_2535,c_2534, 3.21/1.11 c_2533,c_2531,c_2528,c_2529,c_2521,c_2508,c_2505,c_2497, 3.21/1.11 c_2472,c_2463,c_2455,c_2420,c_2419,c_2417,c_2416,c_2414, 3.21/1.11 c_2415,c_2411,c_2365,c_2364,c_2363,c_2360,c_2359,c_2357, 3.21/1.11 c_2356,c_2354,c_2348,c_2347,c_2339,c_2337,c_2328,c_2327, 3.21/1.11 c_2326,c_2325,c_2346,c_2305,c_2303,c_2298,c_2278,c_2277, 3.21/1.11 c_2272,c_2269,c_2195,c_2194,c_2193,c_2192,c_2191,c_2190, 3.21/1.11 c_2189,c_2188,c_2187,c_2186,c_2184,c_2181,c_2182,c_2174, 3.21/1.11 c_2162,c_2160,c_2141,c_2139,c_2134,c_2122,c_2121,c_2116, 3.21/1.11 c_2113,c_2098,c_2075,c_2071,c_2059,c_2057,c_2045,c_2040, 3.21/1.11 c_2035,c_1999,c_1998,c_1997,c_1996,c_1995,c_1993,c_1992, 3.21/1.11 c_1990,c_1988,c_1977,c_1976,c_1975,c_1974,c_1973,c_1971, 3.21/1.11 c_1968,c_1961,c_1956,c_1955,c_1954,c_1953,c_1855,c_1854, 3.21/1.11 c_1853,c_1852,c_1851,c_1850,c_1849,c_1848,c_1847,c_1845, 3.21/1.11 c_1844,c_1842,c_1843,c_1835,c_1802,c_1791,c_1790,c_1786, 3.21/1.11 c_1783,c_1782,c_1777,c_1775,c_1776,c_1773,c_1769,c_1641, 3.21/1.11 c_1627,c_1620,c_1619,c_1604,c_1603,c_1602,c_1601,c_1600, 3.21/1.11 c_1599,c_1597,c_1598,c_1594,c_1593,c_1592,c_1589,c_1587, 3.21/1.11 c_1588,c_1581,c_1575,c_1568,c_1565,c_1554,c_1550,c_1548, 3.21/1.11 c_1547,c_1545,c_1543,c_1542,c_1529,c_1480,c_1475,c_1467, 3.21/1.11 c_1463,c_1464,c_1457,c_1458,c_1451,c_1438,c_1430,c_1425, 3.21/1.11 c_1332,c_1331,c_1329,c_1327,c_1325,c_1301,c_1300,c_1299, 3.21/1.11 c_1298,c_1296,c_1295,c_1294,c_1285,c_1281,c_1270,c_1269, 3.21/1.11 c_1268,c_1267,c_1265,c_1264,c_1262,c_1206,c_1203,c_1201, 3.21/1.11 c_1198,c_1197,c_1191,c_1190,c_1187,c_1183,c_1179,c_1108, 3.21/1.11 c_1101,c_1096,c_1092,c_1088,c_1087,c_1086,c_1084,c_1083, 3.21/1.11 c_1081,c_1082,c_1079,c_1078,c_1042,c_1037,c_1028,c_1026, 3.21/1.11 c_1025,c_1023,c_1021,c_1019,c_1020,c_1013,c_1014,c_1007, 3.21/1.11 c_997,c_985,c_969,c_961,c_957,c_948,c_929,c_893,c_892, 3.21/1.11 c_864,c_857,c_856,c_853,c_852,c_850,c_844,c_845,c_840, 3.21/1.11 c_862,c_851,c_849,c_854,c_832,c_818,c_813,c_809,c_810, 3.21/1.11 c_803,c_781,c_776,c_772,c_771,c_769,c_766,c_767,c_760, 3.21/1.11 c_742,c_738,c_728,c_726,c_721,c_716,c_675,c_674,c_672, 3.21/1.11 c_673,c_669,c_663,c_658,c_649,c_646,c_644,c_643,c_645, 3.21/1.11 c_641,c_640,c_634,c_606,c_604,c_601,c_592,c_590,c_573, 3.21/1.11 c_572,c_571,c_570,c_568,c_567,c_575,c_574,c_541,c_540, 3.21/1.11 c_536,c_535,c_531,c_529,c_527,c_526,c_525,c_534,c_471, 3.21/1.11 c_470,c_469,c_468,c_467,c_466,c_465,c_464,c_463,c_462, 3.21/1.11 c_461,c_459,c_460,c_457,c_444,c_441,c_437,c_432,c_420, 3.21/1.11 c_418,c_426,c_424,c_410,c_407,c_403,c_397,c_382,c_381, 3.21/1.11 c_383,c_374,c_368,c_367,c_363,c_362,c_361,c_360,c_357, 3.21/1.11 c_203,c_202,c_64,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54, 3.21/1.11 c_52,c_51,c_50,c_49])). 3.21/1.11 3.21/1.11 3.21/1.11 % SZS output end CNFRefutation for theBenchmark.p 3.21/1.11 3.21/1.11 3.21/1.14 EOF