TSTP Solution File: ARI702_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI702_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:07:35 EDT 2024
% Result : Theorem 2.20s 1.14s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI702_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 00:57:10 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.46 Running TFA theorem proving
% 0.20/0.46 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
% 2.20/1.14 % SZS status Started for theBenchmark.p
% 2.20/1.14 % SZS status Theorem for theBenchmark.p
% 2.20/1.14
% 2.20/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.20/1.14
% 2.20/1.14 ------ iProver source info
% 2.20/1.14
% 2.20/1.14 git: date: 2024-05-02 19:28:25 +0000
% 2.20/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.20/1.14 git: non_committed_changes: false
% 2.20/1.14
% 2.20/1.14 ------ Parsing...
% 2.20/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.20/1.14
% 2.20/1.14 ------ 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
% 2.20/1.14
% 2.20/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.20/1.14
% 2.20/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.20/1.14 ------ Proving...
% 2.20/1.14 ------ Problem Properties
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14 clauses 23
% 2.20/1.14 conjectures 1
% 2.20/1.14 EPR 5
% 2.20/1.14 Horn 20
% 2.20/1.14 unary 18
% 2.20/1.14 binary 2
% 2.20/1.14 lits 31
% 2.20/1.14 lits eq 19
% 2.20/1.14 fd_pure 0
% 2.20/1.14 fd_pseudo 0
% 2.20/1.14 fd_cond 0
% 2.20/1.14 fd_pseudo_cond 2
% 2.20/1.14 AC symbols 2
% 2.20/1.14
% 2.20/1.14 ------ Input Options Time Limit: Unbounded
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14 ------
% 2.20/1.14 Current options:
% 2.20/1.14 ------
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14 ------ Proving...
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14 % SZS status Theorem for theBenchmark.p
% 2.20/1.14
% 2.20/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 2.20/1.14
% 2.20/1.14 tff(f1,axiom,(
% 2.20/1.14 $product($product(2,x),y) = a),
% 2.20/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)).
% 2.20/1.14
% 2.20/1.14 tff(f3,axiom,(
% 2.20/1.14 2 = $product(a,z)),
% 2.20/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq3)).
% 2.20/1.14
% 2.20/1.14 tff(f4,conjecture,(
% 2.20/1.14 $product($product(x,y),z) = 1),
% 2.20/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 2.20/1.14
% 2.20/1.14 tff(f5,negated_conjecture,(
% 2.20/1.14 ~$product($product(x,y),z) = 1),
% 2.20/1.14 inference(negated_conjecture,[],[f4])).
% 2.20/1.14
% 2.20/1.14 tff(f6,plain,(
% 2.20/1.14 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.20/1.14 introduced(theory_axiom_138,[])).
% 2.20/1.14
% 2.20/1.14 tff(f7,plain,(
% 2.20/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.20/1.14 introduced(theory_axiom_139,[])).
% 2.20/1.14
% 2.20/1.14 tff(f17,plain,(
% 2.20/1.14 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.20/1.14 introduced(theory_axiom_138,[])).
% 2.20/1.14
% 2.20/1.14 tff(f18,plain,(
% 2.20/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.20/1.14 introduced(theory_axiom_139,[])).
% 2.20/1.14
% 2.20/1.14 tff(f21,plain,(
% 2.20/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 2.20/1.14 introduced(theory_axiom_153,[])).
% 2.20/1.14
% 2.20/1.14 tff(f24,plain,(
% 2.20/1.14 $product($product(x,y),z) != 1),
% 2.20/1.14 inference(flattening,[],[f5])).
% 2.20/1.14
% 2.20/1.14 tff(f25,plain,(
% 2.20/1.14 $product($product(2,x),y) = a),
% 2.20/1.14 inference(cnf_transformation,[],[f1])).
% 2.20/1.14
% 2.20/1.14 tff(f27,plain,(
% 2.20/1.14 2 = $product(a,z)),
% 2.20/1.14 inference(cnf_transformation,[],[f3])).
% 2.20/1.14
% 2.20/1.14 tff(f28,plain,(
% 2.20/1.14 $product($product(x,y),z) != 1),
% 2.20/1.14 inference(cnf_transformation,[],[f24])).
% 2.20/1.14
% 2.20/1.14 cnf(c_51,plain,
% 2.20/1.14 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.20/1.14 inference(cnf_transformation,[],[f21])).
% 2.20/1.14
% 2.20/1.14 cnf(c_54,plain,
% 2.20/1.14 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.20/1.14 inference(cnf_transformation,[],[f18])).
% 2.20/1.14
% 2.20/1.14 cnf(c_55,plain,
% 2.20/1.14 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.20/1.14 inference(cnf_transformation,[],[f17])).
% 2.20/1.14
% 2.20/1.14 cnf(c_65,plain,
% 2.20/1.14 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.20/1.14 inference(cnf_transformation,[],[f7])).
% 2.20/1.14
% 2.20/1.14 cnf(c_66,plain,
% 2.20/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.20/1.14 inference(cnf_transformation,[],[f6])).
% 2.20/1.14
% 2.20/1.14 cnf(c_67,plain,
% 2.20/1.14 ($product_int($product_int(2,x),y) = a),
% 2.20/1.14 inference(cnf_transformation,[],[f25])).
% 2.20/1.14
% 2.20/1.14 cnf(c_69,plain,
% 2.20/1.14 ($product_int(a,z) = 2),
% 2.20/1.14 inference(cnf_transformation,[],[f27])).
% 2.20/1.14
% 2.20/1.14 cnf(c_70,negated_conjecture,
% 2.20/1.14 ($product_int($product_int(x,y),z) != 1),
% 2.20/1.14 inference(cnf_transformation,[],[f28])).
% 2.20/1.14
% 2.20/1.14 cnf(c_88,plain,
% 2.20/1.14 ($product_int(y,$product_int(2,x)) = a),
% 2.20/1.14 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 2.20/1.14
% 2.20/1.14 cnf(c_90,plain,
% 2.20/1.14 ($product_int(z,a) = 2),
% 2.20/1.14 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 2.20/1.14
% 2.20/1.14 cnf(c_91,negated_conjecture,
% 2.20/1.14 ($product_int(y,$product_int(z,x)) != 1),
% 2.20/1.14 inference(theory_normalisation,[status(thm)],[c_70,c_54,c_55,c_65,c_66])).
% 2.20/1.14
% 2.20/1.14 cnf(c_1127,plain,
% 2.20/1.14 ($product_int(y,$sum_int(X0_3,$product_int(2,x))) = $sum_int($product_int(y,X0_3),a)),
% 2.20/1.14 inference(superposition,[status(thm)],[c_88,c_51])).
% 2.20/1.14
% 2.20/1.14 cnf(c_1129,plain,
% 2.20/1.14 ($sum_int($product_int(z,X0_3),2) = $product_int(z,$sum_int(X0_3,a))),
% 2.20/1.14 inference(superposition,[status(thm)],[c_90,c_51])).
% 2.20/1.14
% 2.20/1.14 cnf(c_1141,plain,
% 2.20/1.14 ($sum_int(2,$product_int(z,X0_3)) = $product_int(z,$sum_int(X0_3,a))),
% 2.20/1.14 inference(theory_normalisation,
% 2.20/1.14 [status(thm)],
% 2.20/1.14 [c_1129,c_65,c_66,c_54,c_55])).
% 2.20/1.14
% 2.20/1.14 cnf(c_1145,plain,
% 2.20/1.14 ($product_int(y,$sum_int(X0_3,$product_int(2,x))) = $sum_int(a,$product_int(y,X0_3))),
% 2.20/1.14 inference(theory_normalisation,
% 2.20/1.14 [status(thm)],
% 2.20/1.14 [c_1127,c_65,c_66,c_54,c_55])).
% 2.20/1.14
% 2.20/1.14 cnf(c_4935,plain,
% 2.20/1.14 ($false),
% 2.20/1.14 inference(smt_impl_just,[status(thm)],[c_1145,c_1141,c_91])).
% 2.20/1.14
% 2.20/1.14
% 2.20/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 2.20/1.14
% 2.20/1.14
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