TSTP Solution File: ARI690_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI690_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Fri May 3 02:07:33 EDT 2024
% Result : Theorem 2.80s 1.12s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ARI690_1 : TPTP v8.1.2. Released v6.3.0.
% 0.02/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 00:49:05 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.43 Running TFA theorem proving
% 0.17/0.43 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 300
% 2.80/1.12 % SZS status Started for theBenchmark.p
% 2.80/1.12 % SZS status Theorem for theBenchmark.p
% 2.80/1.12
% 2.80/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.80/1.12
% 2.80/1.12 ------ iProver source info
% 2.80/1.12
% 2.80/1.12 git: date: 2024-05-02 19:28:25 +0000
% 2.80/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.80/1.12 git: non_committed_changes: false
% 2.80/1.12
% 2.80/1.12 ------ Parsing...
% 2.80/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.80/1.12
% 2.80/1.12 ------ 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
% 2.80/1.12
% 2.80/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.80/1.12
% 2.80/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.80/1.12 ------ Proving...
% 2.80/1.12 ------ Problem Properties
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12 clauses 22
% 2.80/1.12 conjectures 1
% 2.80/1.12 EPR 5
% 2.80/1.12 Horn 19
% 2.80/1.12 unary 17
% 2.80/1.12 binary 2
% 2.80/1.12 lits 30
% 2.80/1.12 lits eq 18
% 2.80/1.12 fd_pure 0
% 2.80/1.12 fd_pseudo 0
% 2.80/1.12 fd_cond 0
% 2.80/1.12 fd_pseudo_cond 2
% 2.80/1.12 AC symbols 2
% 2.80/1.12
% 2.80/1.12 ------ Input Options Time Limit: Unbounded
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12 ------
% 2.80/1.12 Current options:
% 2.80/1.12 ------
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12 ------ Proving...
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12 % SZS status Theorem for theBenchmark.p
% 2.80/1.12
% 2.80/1.12 % SZS output start CNFRefutation for theBenchmark.p
% 2.80/1.12
% 2.80/1.12 tff(f1,axiom,(
% 2.80/1.12 $product(2,d) = a),
% 2.80/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)).
% 2.80/1.12
% 2.80/1.12 tff(f2,axiom,(
% 2.80/1.12 $difference(c,d) = 0),
% 2.80/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2)).
% 2.80/1.12
% 2.80/1.12 tff(f3,conjecture,(
% 2.80/1.12 a = $product(2,c)),
% 2.80/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 2.80/1.12
% 2.80/1.12 tff(f4,negated_conjecture,(
% 2.80/1.12 ~a = $product(2,c)),
% 2.80/1.12 inference(negated_conjecture,[],[f3])).
% 2.80/1.12
% 2.80/1.12 tff(f5,plain,(
% 2.80/1.12 0 = $sum(c,$uminus(d))),
% 2.80/1.12 inference(theory_normalization,[],[f2])).
% 2.80/1.12
% 2.80/1.12 tff(f6,plain,(
% 2.80/1.12 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.80/1.12 introduced(theory_axiom_138,[])).
% 2.80/1.12
% 2.80/1.12 tff(f7,plain,(
% 2.80/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.80/1.12 introduced(theory_axiom_139,[])).
% 2.80/1.12
% 2.80/1.12 tff(f8,plain,(
% 2.80/1.12 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 2.80/1.12 introduced(theory_axiom_140,[])).
% 2.80/1.12
% 2.80/1.12 tff(f10,plain,(
% 2.80/1.12 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 2.80/1.12 introduced(theory_axiom_143,[])).
% 2.80/1.12
% 2.80/1.12 tff(f17,plain,(
% 2.80/1.12 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.80/1.12 introduced(theory_axiom_138,[])).
% 2.80/1.12
% 2.80/1.12 tff(f18,plain,(
% 2.80/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.80/1.12 introduced(theory_axiom_139,[])).
% 2.80/1.12
% 2.80/1.12 tff(f24,plain,(
% 2.80/1.12 a != $product(2,c)),
% 2.80/1.12 inference(flattening,[],[f4])).
% 2.80/1.12
% 2.80/1.12 tff(f25,plain,(
% 2.80/1.12 $product(2,d) = a),
% 2.80/1.12 inference(cnf_transformation,[],[f1])).
% 2.80/1.12
% 2.80/1.12 tff(f26,plain,(
% 2.80/1.12 0 = $sum(c,$uminus(d))),
% 2.80/1.12 inference(cnf_transformation,[],[f5])).
% 2.80/1.12
% 2.80/1.12 tff(f27,plain,(
% 2.80/1.12 a != $product(2,c)),
% 2.80/1.12 inference(cnf_transformation,[],[f24])).
% 2.80/1.12
% 2.80/1.12 cnf(c_54,plain,
% 2.80/1.12 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.80/1.12 inference(cnf_transformation,[],[f18])).
% 2.80/1.12
% 2.80/1.12 cnf(c_55,plain,
% 2.80/1.12 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.80/1.12 inference(cnf_transformation,[],[f17])).
% 2.80/1.12
% 2.80/1.12 cnf(c_62,plain,
% 2.80/1.12 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 2.80/1.12 inference(cnf_transformation,[],[f10])).
% 2.80/1.12
% 2.80/1.12 cnf(c_64,plain,
% 2.80/1.12 ($sum_int(X0_3,0) = X0_3),
% 2.80/1.12 inference(cnf_transformation,[],[f8])).
% 2.80/1.12
% 2.80/1.12 cnf(c_65,plain,
% 2.80/1.12 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.80/1.12 inference(cnf_transformation,[],[f7])).
% 2.80/1.12
% 2.80/1.12 cnf(c_66,plain,
% 2.80/1.12 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.80/1.12 inference(cnf_transformation,[],[f6])).
% 2.80/1.12
% 2.80/1.12 cnf(c_67,plain,
% 2.80/1.12 ($product_int(2,d) = a),
% 2.80/1.12 inference(cnf_transformation,[],[f25])).
% 2.80/1.12
% 2.80/1.12 cnf(c_68,plain,
% 2.80/1.12 ($sum_int(c,$uminus_int(d)) = 0),
% 2.80/1.12 inference(cnf_transformation,[],[f26])).
% 2.80/1.12
% 2.80/1.12 cnf(c_69,negated_conjecture,
% 2.80/1.12 ($product_int(2,c) != a),
% 2.80/1.12 inference(cnf_transformation,[],[f27])).
% 2.80/1.12
% 2.80/1.12 cnf(c_87,plain,
% 2.80/1.12 ($product_int(d,2) = a),
% 2.80/1.12 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 2.80/1.12
% 2.80/1.12 cnf(c_88,negated_conjecture,
% 2.80/1.12 ($product_int(c,2) != a),
% 2.80/1.12 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 2.80/1.12
% 2.80/1.12 cnf(c_644,plain,
% 2.80/1.12 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 2.80/1.12 inference(superposition,[status(thm)],[c_65,c_66])).
% 2.80/1.12
% 2.80/1.12 cnf(c_730,plain,
% 2.80/1.12 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 2.80/1.12 inference(superposition,[status(thm)],[c_62,c_644])).
% 2.80/1.12
% 2.80/1.12 cnf(c_1430,plain,
% 2.80/1.12 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 2.80/1.12 inference(demodulation,[status(thm)],[c_730,c_64])).
% 2.80/1.12
% 2.80/1.12 cnf(c_1440,plain,
% 2.80/1.12 ($sum_int(d,0) = c),
% 2.80/1.12 inference(superposition,[status(thm)],[c_68,c_1430])).
% 2.80/1.12
% 2.80/1.12 cnf(c_1453,plain,
% 2.80/1.12 ($sum_int(0,d) = c),
% 2.80/1.12 inference(theory_normalisation,
% 2.80/1.12 [status(thm)],
% 2.80/1.12 [c_1440,c_65,c_66,c_54,c_55])).
% 2.80/1.12
% 2.80/1.12 cnf(c_1498,plain,
% 2.80/1.12 (c = d),
% 2.80/1.12 inference(smt_theory_normalisation,[status(thm)],[c_1453])).
% 2.80/1.12
% 2.80/1.12 cnf(c_1500,plain,
% 2.80/1.12 ($product_int(c,2) = a),
% 2.80/1.12 inference(demodulation,[status(thm)],[c_87,c_1498])).
% 2.80/1.12
% 2.80/1.12 cnf(c_1501,plain,
% 2.80/1.12 ($false),
% 2.80/1.12 inference(forward_subsumption_resolution,[status(thm)],[c_1500,c_88])).
% 2.80/1.12
% 2.80/1.12
% 2.80/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 2.80/1.12
% 2.80/1.12
%------------------------------------------------------------------------------