TSTP Solution File: ARI701_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI701_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 04:25:16 EDT 2024
% Result : Theorem 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI701_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n020.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 Jun 21 05:01:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running TFA theorem proving
% 0.19/0.46 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
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2024-06-12 09:56:46 +0000
% 0.48/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...
% 0.48/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sup_sim: 2 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
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 22
% 0.48/1.16 conjectures 0
% 0.48/1.16 EPR 4
% 0.48/1.16 Horn 19
% 0.48/1.16 unary 17
% 0.48/1.16 binary 2
% 0.48/1.16 lits 30
% 0.48/1.16 lits eq 19
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 0
% 0.48/1.16 fd_pseudo_cond 2
% 0.48/1.16 AC symbols 2
% 0.48/1.16
% 0.48/1.16 ------ Input Options Time Limit: Unbounded
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 tff(f1,axiom,(
% 0.48/1.16 $product(x,y) = a),
% 0.48/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)).
% 0.48/1.16
% 0.48/1.16 tff(f2,axiom,(
% 0.48/1.16 $product(y,z) = b),
% 0.48/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2)).
% 0.48/1.16
% 0.48/1.16 tff(f3,axiom,(
% 0.48/1.16 $product(a,z) = 1),
% 0.48/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq3)).
% 0.48/1.16
% 0.48/1.16 tff(f4,conjecture,(
% 0.48/1.16 1 = $product($product(z,y),x)),
% 0.48/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.48/1.16
% 0.48/1.16 tff(f5,negated_conjecture,(
% 0.48/1.16 ~1 = $product($product(z,y),x)),
% 0.48/1.16 inference(negated_conjecture,[],[f4])).
% 0.48/1.16
% 0.48/1.16 tff(f6,plain,(
% 0.48/1.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.48/1.16 introduced(theory_axiom_138,[])).
% 0.48/1.16
% 0.48/1.16 tff(f7,plain,(
% 0.48/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.48/1.16 introduced(theory_axiom_139,[])).
% 0.48/1.16
% 0.48/1.16 tff(f17,plain,(
% 0.48/1.16 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.48/1.16 introduced(theory_axiom_138,[])).
% 0.48/1.16
% 0.48/1.16 tff(f18,plain,(
% 0.48/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.48/1.16 introduced(theory_axiom_139,[])).
% 0.48/1.16
% 0.48/1.16 tff(f19,plain,(
% 0.48/1.16 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.48/1.16 introduced(theory_axiom_140,[])).
% 0.48/1.16
% 0.48/1.16 tff(f21,plain,(
% 0.48/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 0.48/1.16 introduced(theory_axiom_153,[])).
% 0.48/1.16
% 0.48/1.16 tff(f24,plain,(
% 0.48/1.16 1 != $product($product(z,y),x)),
% 0.48/1.16 inference(flattening,[],[f5])).
% 0.48/1.16
% 0.48/1.16 tff(f25,plain,(
% 0.48/1.16 $product(x,y) = a),
% 0.48/1.16 inference(cnf_transformation,[],[f1])).
% 0.48/1.16
% 0.48/1.16 tff(f26,plain,(
% 0.48/1.16 $product(y,z) = b),
% 0.48/1.16 inference(cnf_transformation,[],[f2])).
% 0.48/1.16
% 0.48/1.16 tff(f27,plain,(
% 0.48/1.16 $product(a,z) = 1),
% 0.48/1.16 inference(cnf_transformation,[],[f3])).
% 0.48/1.16
% 0.48/1.16 tff(f28,plain,(
% 0.48/1.16 1 != $product($product(z,y),x)),
% 0.48/1.16 inference(cnf_transformation,[],[f24])).
% 0.48/1.16
% 0.48/1.16 cnf(c_51,plain,
% 0.48/1.16 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.48/1.16 inference(cnf_transformation,[],[f21])).
% 0.48/1.16
% 0.48/1.16 cnf(c_53,plain,
% 0.48/1.16 ($product_int(X0_3,1) = X0_3),
% 0.48/1.16 inference(cnf_transformation,[],[f19])).
% 0.48/1.16
% 0.48/1.16 cnf(c_54,plain,
% 0.48/1.16 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.48/1.16 inference(cnf_transformation,[],[f18])).
% 0.48/1.16
% 0.48/1.16 cnf(c_55,plain,
% 0.48/1.16 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.48/1.16 inference(cnf_transformation,[],[f17])).
% 0.48/1.16
% 0.48/1.16 cnf(c_65,plain,
% 0.48/1.16 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.48/1.16 inference(cnf_transformation,[],[f7])).
% 0.48/1.16
% 0.48/1.16 cnf(c_66,plain,
% 0.48/1.16 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.48/1.16 inference(cnf_transformation,[],[f6])).
% 0.48/1.16
% 0.48/1.16 cnf(c_67,plain,
% 0.48/1.16 ($product_int(x,y) = a),
% 0.48/1.16 inference(cnf_transformation,[],[f25])).
% 0.48/1.16
% 0.48/1.16 cnf(c_68,plain,
% 0.48/1.16 ($product_int(y,z) = b),
% 0.48/1.16 inference(cnf_transformation,[],[f26])).
% 0.48/1.16
% 0.48/1.16 cnf(c_69,plain,
% 0.48/1.16 ($product_int(a,z) = 1),
% 0.48/1.16 inference(cnf_transformation,[],[f27])).
% 0.48/1.16
% 0.48/1.16 cnf(c_70,negated_conjecture,
% 0.48/1.16 ($product_int($product_int(z,y),x) != 1),
% 0.48/1.16 inference(cnf_transformation,[],[f28])).
% 0.48/1.16
% 0.48/1.16 cnf(c_87,plain,
% 0.48/1.16 ($product_int(y,x) = a),
% 0.48/1.16 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 0.48/1.16
% 0.48/1.16 cnf(c_88,plain,
% 0.48/1.16 ($product_int(z,a) = 1),
% 0.48/1.16 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 0.48/1.16
% 0.48/1.16 cnf(c_89,negated_conjecture,
% 0.48/1.16 ($product_int(y,$product_int(z,x)) != 1),
% 0.48/1.16 inference(theory_normalisation,[status(thm)],[c_70,c_54,c_55,c_65,c_66])).
% 0.48/1.16
% 0.48/1.16 cnf(c_196,plain,
% 0.48/1.16 ($product_int(x,b) != 1),
% 0.48/1.16 inference(ac_demodulation,[status(thm)],[c_89,c_68,c_65,c_66,c_54,c_55])).
% 0.48/1.16
% 0.48/1.16 cnf(c_647,plain,
% 0.48/1.16 ($product_int(X0_3,$product_int(X1_3,X2_3)) = $product_int(X1_3,$product_int(X0_3,X2_3))),
% 0.48/1.16 inference(superposition,[status(thm)],[c_54,c_55])).
% 0.48/1.16
% 0.48/1.16 cnf(c_661,plain,
% 0.48/1.16 ($product_int(1,X0_3) = X0_3),
% 0.48/1.16 inference(superposition,[status(thm)],[c_55,c_53])).
% 0.48/1.16
% 0.48/1.16 cnf(c_1028,plain,
% 0.48/1.16 ($product_int(y,$product_int(X0_3,z)) = $product_int(X0_3,b)),
% 0.48/1.16 inference(superposition,[status(thm)],[c_68,c_647])).
% 0.48/1.16
% 0.48/1.16 cnf(c_1029,plain,
% 0.48/1.16 ($product_int(y,$product_int(X0_3,x)) = $product_int(X0_3,a)),
% 0.48/1.16 inference(superposition,[status(thm)],[c_87,c_647])).
% 0.48/1.16
% 0.48/1.16 cnf(c_1113,plain,
% 0.48/1.16 ($sum_int($product_int(z,X0_3),1) = $product_int(z,$sum_int(X0_3,a))),
% 0.48/1.16 inference(superposition,[status(thm)],[c_88,c_51])).
% 0.48/1.16
% 0.48/1.16 cnf(c_1125,plain,
% 0.48/1.16 ($sum_int(1,$product_int(z,X0_3)) = $product_int(z,$sum_int(X0_3,a))),
% 0.48/1.16 inference(theory_normalisation,
% 0.48/1.16 [status(thm)],
% 0.48/1.16 [c_1113,c_65,c_66,c_54,c_55])).
% 0.48/1.16
% 0.48/1.16 cnf(c_4418,plain,
% 0.48/1.16 ($product_int(y,z) = $product_int(1,b)),
% 0.48/1.16 inference(superposition,[status(thm)],[c_661,c_1028])).
% 0.48/1.16
% 0.48/1.16 cnf(c_4709,plain,
% 0.48/1.16 ($product_int(y,x) = $product_int(1,a)),
% 0.48/1.16 inference(superposition,[status(thm)],[c_661,c_1029])).
% 0.48/1.16
% 0.48/1.16 cnf(c_4905,plain,
% 0.48/1.16 ($false),
% 0.48/1.16 inference(smt_impl_just,[status(thm)],[c_4709,c_4418,c_1125,c_196])).
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 0.48/1.16
% 0.48/1.16
%------------------------------------------------------------------------------