TSTP Solution File: ARI682_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI682_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:25:12 EDT 2024
% Result : Theorem 3.18s 1.16s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI682_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 05:16:39 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.18/1.16 % SZS status Started for theBenchmark.p
% 3.18/1.16 % SZS status Theorem for theBenchmark.p
% 3.18/1.16
% 3.18/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.18/1.16
% 3.18/1.16 ------ iProver source info
% 3.18/1.16
% 3.18/1.16 git: date: 2024-06-12 09:56:46 +0000
% 3.18/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.18/1.16 git: non_committed_changes: false
% 3.18/1.16
% 3.18/1.16 ------ Parsing...
% 3.18/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.18/1.16
% 3.18/1.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.18/1.16
% 3.18/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.18/1.16
% 3.18/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.18/1.16 ------ Proving...
% 3.18/1.16 ------ Problem Properties
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16 clauses 24
% 3.18/1.16 conjectures 1
% 3.18/1.16 EPR 7
% 3.18/1.16 Horn 21
% 3.18/1.16 unary 19
% 3.18/1.16 binary 2
% 3.18/1.16 lits 32
% 3.18/1.16 lits eq 18
% 3.18/1.16 fd_pure 0
% 3.18/1.16 fd_pseudo 0
% 3.18/1.16 fd_cond 0
% 3.18/1.16 fd_pseudo_cond 2
% 3.18/1.16 AC symbols 2
% 3.18/1.16
% 3.18/1.16 ------ Input Options Time Limit: Unbounded
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16 ------
% 3.18/1.16 Current options:
% 3.18/1.16 ------
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16 ------ Proving...
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16 % SZS status Theorem for theBenchmark.p
% 3.18/1.16
% 3.18/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 3.18/1.16
% 3.18/1.16 tff(f1,axiom,(
% 3.18/1.16 $less(a,b)),
% 3.18/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 3.18/1.16
% 3.18/1.16 tff(f2,axiom,(
% 3.18/1.16 $lesseq(0,a)),
% 3.18/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001)).
% 3.18/1.16
% 3.18/1.16 tff(f3,conjecture,(
% 3.18/1.16 $lesseq($sum(a,1),$sum($product(a,b),b))),
% 3.18/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_002)).
% 3.18/1.16
% 3.18/1.16 tff(f4,negated_conjecture,(
% 3.18/1.16 ~$lesseq($sum(a,1),$sum($product(a,b),b))),
% 3.18/1.16 inference(negated_conjecture,[],[f3])).
% 3.18/1.16
% 3.18/1.16 tff(f5,plain,(
% 3.18/1.16 ~$less(a,0)),
% 3.18/1.16 inference(theory_normalization,[],[f2])).
% 3.18/1.16
% 3.18/1.16 tff(f6,plain,(
% 3.18/1.16 ~~$less($sum($product(a,b),b),$sum(a,1))),
% 3.18/1.16 inference(theory_normalization,[],[f4])).
% 3.18/1.16
% 3.18/1.16 tff(f7,plain,(
% 3.18/1.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.18/1.16 introduced(theory_axiom_138,[])).
% 3.18/1.16
% 3.18/1.16 tff(f8,plain,(
% 3.18/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.18/1.16 introduced(theory_axiom_139,[])).
% 3.18/1.16
% 3.18/1.16 tff(f9,plain,(
% 3.18/1.16 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 3.18/1.16 introduced(theory_axiom_140,[])).
% 3.18/1.16
% 3.18/1.16 tff(f11,plain,(
% 3.18/1.16 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 3.18/1.16 introduced(theory_axiom_143,[])).
% 3.18/1.16
% 3.18/1.16 tff(f12,plain,(
% 3.18/1.16 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.18/1.16 introduced(theory_axiom_145,[])).
% 3.18/1.16
% 3.18/1.16 tff(f13,plain,(
% 3.18/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.18/1.16 introduced(theory_axiom_146,[])).
% 3.18/1.16
% 3.18/1.16 tff(f14,plain,(
% 3.18/1.16 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.18/1.16 introduced(theory_axiom_147,[])).
% 3.18/1.16
% 3.18/1.16 tff(f16,plain,(
% 3.18/1.16 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.18/1.16 introduced(theory_axiom_150,[])).
% 3.18/1.16
% 3.18/1.16 tff(f18,plain,(
% 3.18/1.16 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.18/1.16 introduced(theory_axiom_138,[])).
% 3.18/1.16
% 3.18/1.16 tff(f19,plain,(
% 3.18/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.18/1.16 introduced(theory_axiom_139,[])).
% 3.18/1.16
% 3.18/1.16 tff(f22,plain,(
% 3.18/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.18/1.16 introduced(theory_axiom_153,[])).
% 3.18/1.16
% 3.18/1.16 tff(f24,plain,(
% 3.18/1.16 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 3.18/1.16 introduced(theory_axiom_164,[])).
% 3.18/1.16
% 3.18/1.16 tff(f25,plain,(
% 3.18/1.16 $less($sum($product(a,b),b),$sum(a,1))),
% 3.18/1.16 inference(flattening,[],[f6])).
% 3.18/1.16
% 3.18/1.16 tff(f26,plain,(
% 3.18/1.16 $less(a,b)),
% 3.18/1.16 inference(cnf_transformation,[],[f1])).
% 3.18/1.16
% 3.18/1.16 tff(f27,plain,(
% 3.18/1.16 ~$less(a,0)),
% 3.18/1.16 inference(cnf_transformation,[],[f5])).
% 3.18/1.16
% 3.18/1.16 tff(f28,plain,(
% 3.18/1.16 $less($sum($product(a,b),b),$sum(a,1))),
% 3.18/1.16 inference(cnf_transformation,[],[f25])).
% 3.18/1.16
% 3.18/1.16 cnf(c_49,plain,
% 3.18/1.16 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f24])).
% 3.18/1.16
% 3.18/1.16 cnf(c_51,plain,
% 3.18/1.16 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.18/1.16 inference(cnf_transformation,[],[f22])).
% 3.18/1.16
% 3.18/1.16 cnf(c_54,plain,
% 3.18/1.16 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.18/1.16 inference(cnf_transformation,[],[f19])).
% 3.18/1.16
% 3.18/1.16 cnf(c_55,plain,
% 3.18/1.16 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f18])).
% 3.18/1.16
% 3.18/1.16 cnf(c_57,plain,
% 3.18/1.16 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f16])).
% 3.18/1.16
% 3.18/1.16 cnf(c_59,plain,
% 3.18/1.16 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f14])).
% 3.18/1.16
% 3.18/1.16 cnf(c_60,plain,
% 3.18/1.16 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f13])).
% 3.18/1.16
% 3.18/1.16 cnf(c_61,plain,
% 3.18/1.16 (~$less_int(X0_3,X0_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f12])).
% 3.18/1.16
% 3.18/1.16 cnf(c_62,plain,
% 3.18/1.16 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 3.18/1.16 inference(cnf_transformation,[],[f11])).
% 3.18/1.16
% 3.18/1.16 cnf(c_64,plain,
% 3.18/1.16 ($sum_int(X0_3,0) = X0_3),
% 3.18/1.16 inference(cnf_transformation,[],[f9])).
% 3.18/1.16
% 3.18/1.16 cnf(c_65,plain,
% 3.18/1.16 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.18/1.16 inference(cnf_transformation,[],[f8])).
% 3.18/1.16
% 3.18/1.16 cnf(c_66,plain,
% 3.18/1.16 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.18/1.16 inference(cnf_transformation,[],[f7])).
% 3.18/1.16
% 3.18/1.16 cnf(c_67,plain,($less_int(a,b)),inference(cnf_transformation,[],[f26])).
% 3.18/1.16
% 3.18/1.16 cnf(c_68,plain,(~$less_int(a,0)),inference(cnf_transformation,[],[f27])).
% 3.18/1.16
% 3.18/1.16 cnf(c_69,negated_conjecture,
% 3.18/1.16 ($less_int($sum_int($product_int(a,b),b),$sum_int(a,1))),
% 3.18/1.16 inference(cnf_transformation,[],[f28])).
% 3.18/1.16
% 3.18/1.16 cnf(c_86,negated_conjecture,
% 3.18/1.16 ($less_int($sum_int(b,$product_int(a,b)),$sum_int(a,1))),
% 3.18/1.16 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 3.18/1.16
% 3.18/1.16 cnf(c_343,plain,($product_int(a,b) = sP0_iProver_def),definition).
% 3.18/1.16
% 3.18/1.16 cnf(c_344,plain,($sum_int(b,sP0_iProver_def) = sP1_iProver_def),definition).
% 3.18/1.16
% 3.18/1.16 cnf(c_345,plain,($sum_int(a,1) = sP2_iProver_def),definition).
% 3.18/1.16
% 3.18/1.16 cnf(c_346,negated_conjecture,
% 3.18/1.16 ($less_int(sP1_iProver_def,sP2_iProver_def)),
% 3.18/1.16 inference(demodulation,[status(thm)],[c_86,c_345,c_343,c_344])).
% 3.18/1.16
% 3.18/1.16 cnf(c_348,plain,(X0_3 = X0_3),theory(equality)).
% 3.18/1.16
% 3.18/1.16 cnf(c_353,plain,
% 3.18/1.16 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 3.18/1.16 theory(equality)).
% 3.18/1.16
% 3.18/1.16 cnf(c_678,plain,
% 3.18/1.16 ($sum_int(sP0_iProver_def,b) = sP1_iProver_def),
% 3.18/1.16 inference(theory_normalisation,[status(thm)],[c_344,c_65,c_66,c_54,c_55])).
% 3.18/1.16
% 3.18/1.16 cnf(c_715,plain,
% 3.18/1.16 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.18/1.16 inference(superposition,[status(thm)],[c_57,c_61])).
% 3.18/1.16
% 3.18/1.16 cnf(c_720,plain,
% 3.18/1.16 ($less_int(a,sP2_iProver_def)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_345,c_715])).
% 3.18/1.16
% 3.18/1.16 cnf(c_733,plain,
% 3.18/1.16 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.18/1.16 inference(superposition,[status(thm)],[c_66,c_715])).
% 3.18/1.16
% 3.18/1.16 cnf(c_734,plain,
% 3.18/1.16 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_66,c_57])).
% 3.18/1.16
% 3.18/1.16 cnf(c_748,plain,
% 3.18/1.16 ($less_int($uminus_int(1),X0_3)|$less_int(X0_3,0)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_62,c_734])).
% 3.18/1.16
% 3.18/1.16 cnf(c_750,plain,
% 3.18/1.16 ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_64,c_734])).
% 3.18/1.16
% 3.18/1.16 cnf(c_767,plain,
% 3.18/1.16 (~$less_int(X0_3,sP2_iProver_def)|~$less_int(a,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_345,c_49])).
% 3.18/1.16
% 3.18/1.16 cnf(c_803,plain,
% 3.18/1.16 (~$less_int(b,X0_3)|$less_int(a,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_67,c_60])).
% 3.18/1.16
% 3.18/1.16 cnf(c_805,plain,
% 3.18/1.16 (~$less_int(sP2_iProver_def,X0_3)|$less_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_346,c_60])).
% 3.18/1.16
% 3.18/1.16 cnf(c_850,plain,
% 3.18/1.16 (~$less_int(b,0)|$less_int(a,0)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_803])).
% 3.18/1.16
% 3.18/1.16 cnf(c_915,plain,
% 3.18/1.16 ($less_int(X0_3,0)|$less_int(-1,X0_3)),
% 3.18/1.16 inference(smt_theory_normalisation,[status(thm)],[c_748])).
% 3.18/1.16
% 3.18/1.16 cnf(c_926,plain,
% 3.18/1.16 ($less_int(-1,a)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_915,c_68])).
% 3.18/1.16
% 3.18/1.16 cnf(c_938,plain,
% 3.18/1.16 (X0_3 != a|X1_3 != b|~$less_int(a,b)|$less_int(X0_3,X1_3)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_353])).
% 3.18/1.16
% 3.18/1.16 cnf(c_942,plain,
% 3.18/1.16 (X0_3 != sP1_iProver_def|X1_3 != sP2_iProver_def|~$less_int(sP1_iProver_def,sP2_iProver_def)|
% 3.18/1.16 $less_int(X0_3,X1_3)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_353])).
% 3.18/1.16
% 3.18/1.16 cnf(c_949,plain,
% 3.18/1.16 ($less_int(sP1_iProver_def,$sum_int(X0_3,1))|$less_int(X0_3,sP2_iProver_def)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_57,c_805])).
% 3.18/1.16
% 3.18/1.16 cnf(c_978,plain,
% 3.18/1.16 (X0_3 != sP1_iProver_def|sP2_iProver_def != sP2_iProver_def|~$less_int(sP1_iProver_def,sP2_iProver_def)|
% 3.18/1.16 $less_int(X0_3,sP2_iProver_def)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_942])).
% 3.18/1.16
% 3.18/1.16 cnf(c_979,plain,
% 3.18/1.16 (sP2_iProver_def = sP2_iProver_def),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_348])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1001,plain,
% 3.18/1.16 (~$less_int(X0_3,sP1_iProver_def)|$less_int(X0_3,sP2_iProver_def)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_949,c_49])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1057,plain,
% 3.18/1.16 (X0_3 = sP1_iProver_def|$less_int(X0_3,sP2_iProver_def)|$less_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_59,c_1001])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1120,plain,
% 3.18/1.16 (X0_3 = b|$less_int(X0_3,b)|$less_int(b,X0_3)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_59])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1121,plain,
% 3.18/1.16 (0 = b|$less_int(b,0)|$less_int(0,b)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_1120])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1135,plain,
% 3.18/1.16 ($sum_int(a,$sum_int(1,X0_3)) = $sum_int(sP2_iProver_def,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_345,c_65])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1137,plain,
% 3.18/1.16 ($sum_int(sP0_iProver_def,$sum_int(b,X0_3)) = $sum_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_678,c_65])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1192,plain,
% 3.18/1.16 ($sum_int($product_int(a,X0_3),sP0_iProver_def) = $product_int(a,$sum_int(X0_3,b))),
% 3.18/1.16 inference(superposition,[status(thm)],[c_343,c_51])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1201,plain,
% 3.18/1.16 ($sum_int(sP0_iProver_def,$product_int(a,X0_3)) = $product_int(a,$sum_int(X0_3,b))),
% 3.18/1.16 inference(theory_normalisation,
% 3.18/1.16 [status(thm)],
% 3.18/1.16 [c_1192,c_65,c_66,c_54,c_55])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1289,plain,
% 3.18/1.16 ($less_int(a,$sum_int(X0_3,1))|$less_int(X0_3,b)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_57,c_803])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1297,plain,
% 3.18/1.16 ($less_int(a,1)|$less_int(0,b)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_750,c_803])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1794,plain,
% 3.18/1.16 (X0_3 != b|a != a|~$less_int(a,b)|$less_int(a,X0_3)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_938])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1795,plain,(a = a),inference(instantiation,[status(thm)],[c_348])).
% 3.18/1.16
% 3.18/1.16 cnf(c_1796,plain,
% 3.18/1.16 (a != a|0 != b|~$less_int(a,b)|$less_int(a,0)),
% 3.18/1.16 inference(instantiation,[status(thm)],[c_1794])).
% 3.18/1.16
% 3.18/1.16 cnf(c_2075,plain,
% 3.18/1.16 ($less_int(X0_3,sP2_iProver_def)|$less_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(global_subsumption_just,
% 3.18/1.16 [status(thm)],
% 3.18/1.16 [c_1057,c_346,c_978,c_979,c_1057])).
% 3.18/1.16
% 3.18/1.16 cnf(c_2240,plain,
% 3.18/1.16 (~$less_int(a,sP1_iProver_def)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_346,c_767])).
% 3.18/1.16
% 3.18/1.16 cnf(c_2242,plain,
% 3.18/1.16 (~$less_int(a,X0_3)|$less_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_2075,c_767])).
% 3.18/1.16
% 3.18/1.16 cnf(c_2292,plain,
% 3.18/1.16 (a = sP1_iProver_def|$less_int(sP1_iProver_def,a)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_59,c_2240])).
% 3.18/1.16
% 3.18/1.16 cnf(c_4267,plain,
% 3.18/1.16 (~$less_int(X0_3,a)|$less_int(X0_3,b)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_1289,c_49])).
% 3.18/1.16
% 3.18/1.16 cnf(c_4774,plain,
% 3.18/1.16 (a = sP1_iProver_def|$less_int(sP1_iProver_def,b)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_2292,c_4267])).
% 3.18/1.16
% 3.18/1.16 cnf(c_4974,plain,
% 3.18/1.16 ($less_int(0,b)),
% 3.18/1.16 inference(global_subsumption_just,
% 3.18/1.16 [status(thm)],
% 3.18/1.16 [c_1297,c_67,c_68,c_850,c_1121,c_1796,c_1795])).
% 3.18/1.16
% 3.18/1.16 cnf(c_4989,plain,
% 3.18/1.16 (~$less_int(b,X0_3)|a = sP1_iProver_def|$less_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(superposition,[status(thm)],[c_4774,c_60])).
% 3.18/1.16
% 3.18/1.16 cnf(c_4994,plain,
% 3.18/1.16 (~$less_int(b,X0_3)|$less_int(sP1_iProver_def,X0_3)),
% 3.18/1.16 inference(global_subsumption_just,[status(thm)],[c_4989,c_803,c_2242])).
% 3.18/1.16
% 3.18/1.16 cnf(c_5016,plain,
% 3.18/1.16 ($less_int(sP1_iProver_def,$sum_int(1,b))),
% 3.18/1.16 inference(superposition,[status(thm)],[c_733,c_4994])).
% 3.18/1.16
% 3.18/1.16 cnf(c_5693,plain,
% 3.18/1.16 ($false),
% 3.18/1.16 inference(smt_impl_just,
% 3.18/1.16 [status(thm)],
% 3.18/1.16 [c_5016,c_4974,c_2240,c_1201,c_1137,c_1135,c_926,c_720,c_67])).
% 3.18/1.16
% 3.18/1.16
% 3.18/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 3.18/1.16
% 3.18/1.16
%------------------------------------------------------------------------------