TSTP Solution File: NUM907_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM907_1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Thu Aug 31 11:33:30 EDT 2023
% Result : Theorem 2.59s 1.14s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM907_1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 08:43:53 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running TFA theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.59/1.14 % SZS status Started for theBenchmark.p
% 2.59/1.14 % SZS status Theorem for theBenchmark.p
% 2.59/1.14
% 2.59/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.59/1.14
% 2.59/1.14 ------ iProver source info
% 2.59/1.14
% 2.59/1.14 git: date: 2023-05-31 18:12:56 +0000
% 2.59/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.59/1.14 git: non_committed_changes: false
% 2.59/1.14 git: last_make_outside_of_git: false
% 2.59/1.14
% 2.59/1.14 ------ Parsing...
% 2.59/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.59/1.14
% 2.59/1.14 ------ 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
% 2.59/1.14
% 2.59/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.59/1.14
% 2.59/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.59/1.14 ------ Proving...
% 2.59/1.14 ------ Problem Properties
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 clauses 13
% 2.59/1.14 conjectures 3
% 2.59/1.14 EPR 3
% 2.59/1.14 Horn 9
% 2.59/1.14 unary 7
% 2.59/1.14 binary 3
% 2.59/1.14 lits 22
% 2.59/1.14 lits eq 14
% 2.59/1.14 fd_pure 0
% 2.59/1.14 fd_pseudo 0
% 2.59/1.14 fd_cond 0
% 2.59/1.14 fd_pseudo_cond 1
% 2.59/1.14 AC symbols 1
% 2.59/1.14
% 2.59/1.14 ------ Input Options Time Limit: Unbounded
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 ------
% 2.59/1.14 Current options:
% 2.59/1.14 ------
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 ------ Proving...
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 % SZS status Theorem for theBenchmark.p
% 2.59/1.14
% 2.59/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 2.59/1.14
% 2.59/1.14 tff(f1,conjecture,(
% 2.59/1.14 ! [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <=> ($difference(X2,X0) = X1 & $difference(X2,X1) = X0))),
% 2.59/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_2)).
% 2.59/1.14
% 2.59/1.14 tff(f2,negated_conjecture,(
% 2.59/1.14 ~! [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <=> ($difference(X2,X0) = X1 & $difference(X2,X1) = X0))),
% 2.59/1.14 inference(negated_conjecture,[],[f1])).
% 2.59/1.14
% 2.59/1.14 tff(f3,plain,(
% 2.59/1.14 ~! [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <=> ($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0))),
% 2.59/1.14 inference(theory_normalization,[],[f2])).
% 2.59/1.14
% 2.59/1.14 tff(f4,plain,(
% 2.59/1.14 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.59/1.14 introduced(theory_axiom_138,[])).
% 2.59/1.14
% 2.59/1.14 tff(f5,plain,(
% 2.59/1.14 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.59/1.14 introduced(theory_axiom_139,[])).
% 2.59/1.14
% 2.59/1.14 tff(f6,plain,(
% 2.59/1.14 ( ! [X0 : $rat] : ($sum(X0,0/1) = X0) )),
% 2.59/1.14 introduced(theory_axiom_140,[])).
% 2.59/1.14
% 2.59/1.14 tff(f7,plain,(
% 2.59/1.14 ( ! [X0 : $rat,X1 : $rat] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 2.59/1.14 introduced(theory_axiom_142,[])).
% 2.59/1.14
% 2.59/1.14 tff(f8,plain,(
% 2.59/1.14 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 2.59/1.14 introduced(theory_axiom_143,[])).
% 2.59/1.14
% 2.59/1.14 tff(f14,plain,(
% 2.59/1.14 ( ! [X0 : $rat] : ($uminus($uminus(X0)) = X0) )),
% 2.59/1.14 introduced(theory_axiom_151,[])).
% 2.59/1.14
% 2.59/1.14 tff(f15,plain,(
% 2.59/1.14 ? [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <~> ($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0))),
% 2.59/1.14 inference(ennf_transformation,[],[f3])).
% 2.59/1.14
% 2.59/1.14 tff(f16,plain,(
% 2.59/1.14 ? [X0 : $rat,X1 : $rat,X2 : $rat] : ((($sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0) | $sum(X0,X1) != X2) & (($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0) | $sum(X0,X1) = X2))),
% 2.59/1.14 inference(nnf_transformation,[],[f15])).
% 2.59/1.14
% 2.59/1.14 tff(f17,plain,(
% 2.59/1.14 ? [X0 : $rat,X1 : $rat,X2 : $rat] : (($sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0 | $sum(X0,X1) != X2) & (($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0) | $sum(X0,X1) = X2))),
% 2.59/1.14 inference(flattening,[],[f16])).
% 2.59/1.14
% 2.59/1.14 tff(f18,plain,(
% 2.59/1.14 ? [X0 : $rat,X1 : $rat,X2 : $rat] : (($sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0 | $sum(X0,X1) != X2) & (($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0) | $sum(X0,X1) = X2)) => ((sK1 != $sum(sK2,$uminus(sK0)) | sK0 != $sum(sK2,$uminus(sK1)) | sK2 != $sum(sK0,sK1)) & ((sK1 = $sum(sK2,$uminus(sK0)) & sK0 = $sum(sK2,$uminus(sK1))) | sK2 = $sum(sK0,sK1)))),
% 2.59/1.14 introduced(choice_axiom,[])).
% 2.59/1.14
% 2.59/1.14 tff(f19,plain,(
% 2.59/1.14 (sK1 != $sum(sK2,$uminus(sK0)) | sK0 != $sum(sK2,$uminus(sK1)) | sK2 != $sum(sK0,sK1)) & ((sK1 = $sum(sK2,$uminus(sK0)) & sK0 = $sum(sK2,$uminus(sK1))) | sK2 = $sum(sK0,sK1))),
% 2.59/1.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18])).
% 2.59/1.14
% 2.59/1.14 tff(f21,plain,(
% 2.59/1.14 sK1 = $sum(sK2,$uminus(sK0)) | sK2 = $sum(sK0,sK1)),
% 2.59/1.14 inference(cnf_transformation,[],[f19])).
% 2.59/1.14
% 2.59/1.14 tff(f22,plain,(
% 2.59/1.14 sK1 != $sum(sK2,$uminus(sK0)) | sK0 != $sum(sK2,$uminus(sK1)) | sK2 != $sum(sK0,sK1)),
% 2.59/1.14 inference(cnf_transformation,[],[f19])).
% 2.59/1.14
% 2.59/1.14 cnf(c_49,plain,
% 2.59/1.14 ($uminus_rat($uminus_rat(X0_4)) = X0_4),
% 2.59/1.14 inference(cnf_transformation,[],[f14])).
% 2.59/1.14
% 2.59/1.14 cnf(c_55,plain,
% 2.59/1.14 ($sum_rat(X0_4,$uminus_rat(X0_4)) = 0/1),
% 2.59/1.14 inference(cnf_transformation,[],[f8])).
% 2.59/1.14
% 2.59/1.14 cnf(c_56,plain,
% 2.59/1.14 ($sum_rat($uminus_rat(X0_4),$uminus_rat(X1_4)) = $uminus_rat($sum_rat(X1_4,X0_4))),
% 2.59/1.14 inference(cnf_transformation,[],[f7])).
% 2.59/1.14
% 2.59/1.14 cnf(c_57,plain,
% 2.59/1.14 ($sum_rat(X0_4,0/1) = X0_4),
% 2.59/1.14 inference(cnf_transformation,[],[f6])).
% 2.59/1.14
% 2.59/1.14 cnf(c_58,plain,
% 2.59/1.14 ($sum_rat($sum_rat(X0_4,X1_4),X2_4) = $sum_rat(X0_4,$sum_rat(X1_4,X2_4))),
% 2.59/1.14 inference(cnf_transformation,[],[f5])).
% 2.59/1.14
% 2.59/1.14 cnf(c_59,plain,
% 2.59/1.14 ($sum_rat(X0_4,X1_4) = $sum_rat(X1_4,X0_4)),
% 2.59/1.14 inference(cnf_transformation,[],[f4])).
% 2.59/1.14
% 2.59/1.14 cnf(c_60,negated_conjecture,
% 2.59/1.14 ($sum_rat(sK2,$uminus_rat(sK0)) != sK1|$sum_rat(sK2,$uminus_rat(sK1)) != sK0|
% 2.59/1.14 $sum_rat(sK0,sK1) != sK2),
% 2.59/1.14 inference(cnf_transformation,[],[f22])).
% 2.59/1.14
% 2.59/1.14 cnf(c_61,negated_conjecture,
% 2.59/1.14 ($sum_rat(sK2,$uminus_rat(sK0)) = sK1|$sum_rat(sK0,sK1) = sK2),
% 2.59/1.14 inference(cnf_transformation,[],[f21])).
% 2.59/1.14
% 2.59/1.14 cnf(c_380,plain,
% 2.59/1.14 ($sum_rat(X0_4,$sum_rat(X1_4,X2_4)) = $sum_rat(X1_4,$sum_rat(X0_4,X2_4))),
% 2.59/1.14 inference(superposition,[status(thm)],[c_58,c_59])).
% 2.59/1.14
% 2.59/1.14 cnf(c_408,plain,
% 2.59/1.14 ($sum_rat(X0_4,$sum_rat(X1_4,$uminus_rat(X0_4))) = $sum_rat(X1_4,0/1)),
% 2.59/1.14 inference(superposition,[status(thm)],[c_55,c_380])).
% 2.59/1.14
% 2.59/1.14 cnf(c_459,plain,
% 2.59/1.14 ($uminus_rat($sum_rat(X0_4,$uminus_rat(X1_4))) = $sum_rat(X1_4,$uminus_rat(X0_4))),
% 2.59/1.14 inference(superposition,[status(thm)],[c_49,c_56])).
% 2.59/1.14
% 2.59/1.14 cnf(c_587,plain,
% 2.59/1.14 ($sum_rat(X0_4,$sum_rat(X1_4,$uminus_rat(X0_4))) = X1_4),
% 2.59/1.14 inference(demodulation,[status(thm)],[c_408,c_57])).
% 2.59/1.14
% 2.59/1.14 cnf(c_594,plain,
% 2.59/1.14 ($sum_rat(X0_4,$uminus_rat($sum_rat(X0_4,X1_4))) = $uminus_rat(X1_4)),
% 2.59/1.14 inference(superposition,[status(thm)],[c_56,c_587])).
% 2.59/1.14
% 2.59/1.14 cnf(c_595,plain,
% 2.59/1.14 ($sum_rat(sK0,sK1) = sK2),
% 2.59/1.14 inference(superposition,[status(thm)],[c_61,c_587])).
% 2.59/1.14
% 2.59/1.14 cnf(c_610,plain,
% 2.59/1.14 ($sum_rat(sK2,$uminus_rat(sK0)) != sK1|$sum_rat(sK2,$uminus_rat(sK1)) != sK0),
% 2.59/1.14 inference(backward_subsumption_resolution,[status(thm)],[c_60,c_595])).
% 2.59/1.14
% 2.59/1.14 cnf(c_2911,plain,
% 2.59/1.14 ($sum_rat(sK0,$uminus_rat(sK2)) = $uminus_rat(sK1)),
% 2.59/1.14 inference(superposition,[status(thm)],[c_595,c_594])).
% 2.59/1.14
% 2.59/1.14 cnf(c_3219,plain,
% 2.59/1.14 ($sum_rat(sK2,$uminus_rat(sK0)) = $uminus_rat($uminus_rat(sK1))),
% 2.59/1.14 inference(superposition,[status(thm)],[c_2911,c_459])).
% 2.59/1.14
% 2.59/1.14 cnf(c_3220,plain,
% 2.59/1.14 ($sum_rat(sK2,$uminus_rat(sK1)) = sK0),
% 2.59/1.14 inference(superposition,[status(thm)],[c_2911,c_587])).
% 2.59/1.14
% 2.59/1.14 cnf(c_3223,plain,
% 2.59/1.14 ($sum_rat(sK2,$uminus_rat(sK1)) != sK0|$uminus_rat($uminus_rat(sK1)) != sK1),
% 2.59/1.14 inference(demodulation,[status(thm)],[c_610,c_3219])).
% 2.59/1.14
% 2.59/1.14 cnf(c_3224,plain,
% 2.59/1.14 ($uminus_rat($uminus_rat(sK1)) != sK1),
% 2.59/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_3223,c_3220])).
% 2.59/1.14
% 2.59/1.14 cnf(c_3225,plain,
% 2.59/1.14 ($false),
% 2.59/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_3224,c_49])).
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/1.14
% 2.59/1.14
%------------------------------------------------------------------------------