TSTP Solution File: ARI176_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI176_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:06:24 EDT 2024
% Result : Theorem 11.59s 2.20s
% Output : CNFRefutation 11.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI176_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:48:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running TFA theorem proving
% 0.21/0.48 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
% 11.59/2.20 % SZS status Started for theBenchmark.p
% 11.59/2.20 % SZS status Theorem for theBenchmark.p
% 11.59/2.20
% 11.59/2.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.59/2.20
% 11.59/2.20 ------ iProver source info
% 11.59/2.20
% 11.59/2.20 git: date: 2024-05-02 19:28:25 +0000
% 11.59/2.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.59/2.20 git: non_committed_changes: false
% 11.59/2.20
% 11.59/2.20 ------ Parsing...
% 11.59/2.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.59/2.20
% 11.59/2.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 11.59/2.20
% 11.59/2.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.59/2.20
% 11.59/2.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.59/2.20 ------ Proving...
% 11.59/2.20 ------ Problem Properties
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20 clauses 23
% 11.59/2.20 conjectures 16
% 11.59/2.20 EPR 7
% 11.59/2.20 Horn 20
% 11.59/2.20 unary 17
% 11.59/2.20 binary 3
% 11.59/2.20 lits 32
% 11.59/2.20 lits eq 16
% 11.59/2.20 fd_pure 0
% 11.59/2.20 fd_pseudo 0
% 11.59/2.20 fd_cond 0
% 11.59/2.20 fd_pseudo_cond 2
% 11.59/2.20 AC symbols 2
% 11.59/2.20
% 11.59/2.20 ------ Input Options Time Limit: Unbounded
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20 ------
% 11.59/2.20 Current options:
% 11.59/2.20 ------
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20 ------ Proving...
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20 % SZS status Theorem for theBenchmark.p
% 11.59/2.20
% 11.59/2.20 % SZS output start CNFRefutation for theBenchmark.p
% 11.59/2.20
% 11.59/2.20 tff(f1,conjecture,(
% 11.59/2.20 ? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 22),
% 11.59/2.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 11.59/2.20
% 11.59/2.20 tff(f2,negated_conjecture,(
% 11.59/2.20 ~? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 22),
% 11.59/2.20 inference(negated_conjecture,[],[f1])).
% 11.59/2.20
% 11.59/2.20 tff(f3,plain,(
% 11.59/2.20 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 11.59/2.20 introduced(theory_axiom_138,[])).
% 11.59/2.20
% 11.59/2.20 tff(f4,plain,(
% 11.59/2.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 11.59/2.20 introduced(theory_axiom_139,[])).
% 11.59/2.20
% 11.59/2.20 tff(f5,plain,(
% 11.59/2.20 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 11.59/2.20 introduced(theory_axiom_140,[])).
% 11.59/2.20
% 11.59/2.20 tff(f6,plain,(
% 11.59/2.20 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 11.59/2.20 introduced(theory_axiom_142,[])).
% 11.59/2.20
% 11.59/2.20 tff(f7,plain,(
% 11.59/2.20 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 11.59/2.20 introduced(theory_axiom_143,[])).
% 11.59/2.20
% 11.59/2.20 tff(f14,plain,(
% 11.59/2.20 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 11.59/2.20 introduced(theory_axiom_138,[])).
% 11.59/2.20
% 11.59/2.20 tff(f15,plain,(
% 11.59/2.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 11.59/2.20 introduced(theory_axiom_139,[])).
% 11.59/2.20
% 11.59/2.20 tff(f16,plain,(
% 11.59/2.20 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 11.59/2.20 introduced(theory_axiom_140,[])).
% 11.59/2.20
% 11.59/2.20 tff(f17,plain,(
% 11.59/2.20 ( ! [X0 : $int] : (0 = $product(X0,0)) )),
% 11.59/2.20 introduced(theory_axiom_152,[])).
% 11.59/2.20
% 11.59/2.20 tff(f18,plain,(
% 11.59/2.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 11.59/2.20 introduced(theory_axiom_153,[])).
% 11.59/2.20
% 11.59/2.20 tff(f21,plain,(
% 11.59/2.20 ! [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) != 22),
% 11.59/2.20 inference(ennf_transformation,[],[f2])).
% 11.59/2.20
% 11.59/2.20 tff(f22,plain,(
% 11.59/2.20 ( ! [X0 : $int,X1 : $int] : ($sum($product(3,X0),$product(5,X1)) != 22) )),
% 11.59/2.20 inference(cnf_transformation,[],[f21])).
% 11.59/2.20
% 11.59/2.20 cnf(c_51,negated_conjecture,
% 11.59/2.20 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 11.59/2.20 inference(cnf_transformation,[],[f18])).
% 11.59/2.20
% 11.59/2.20 cnf(c_52,negated_conjecture,
% 11.59/2.20 ($product_int(X0_3,0) = 0),
% 11.59/2.20 inference(cnf_transformation,[],[f17])).
% 11.59/2.20
% 11.59/2.20 cnf(c_53,negated_conjecture,
% 11.59/2.20 ($product_int(X0_3,1) = X0_3),
% 11.59/2.20 inference(cnf_transformation,[],[f16])).
% 11.59/2.20
% 11.59/2.20 cnf(c_54,negated_conjecture,
% 11.59/2.20 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 11.59/2.20 inference(cnf_transformation,[],[f15])).
% 11.59/2.20
% 11.59/2.20 cnf(c_55,negated_conjecture,
% 11.59/2.20 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 11.59/2.20 inference(cnf_transformation,[],[f14])).
% 11.59/2.20
% 11.59/2.20 cnf(c_62,negated_conjecture,
% 11.59/2.20 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 11.59/2.20 inference(cnf_transformation,[],[f7])).
% 11.59/2.20
% 11.59/2.20 cnf(c_63,negated_conjecture,
% 11.59/2.20 ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 11.59/2.20 inference(cnf_transformation,[],[f6])).
% 11.59/2.20
% 11.59/2.20 cnf(c_64,negated_conjecture,
% 11.59/2.20 ($sum_int(X0_3,0) = X0_3),
% 11.59/2.20 inference(cnf_transformation,[],[f5])).
% 11.59/2.20
% 11.59/2.20 cnf(c_65,negated_conjecture,
% 11.59/2.20 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 11.59/2.20 inference(cnf_transformation,[],[f4])).
% 11.59/2.20
% 11.59/2.20 cnf(c_66,negated_conjecture,
% 11.59/2.20 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 11.59/2.20 inference(cnf_transformation,[],[f3])).
% 11.59/2.20
% 11.59/2.20 cnf(c_67,negated_conjecture,
% 11.59/2.20 ($sum_int($product_int(3,X0_3),$product_int(5,X1_3)) != 22),
% 11.59/2.20 inference(cnf_transformation,[],[f22])).
% 11.59/2.20
% 11.59/2.20 cnf(c_527,plain,
% 11.59/2.20 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 11.59/2.20 inference(superposition,[status(thm)],[c_65,c_66])).
% 11.59/2.20
% 11.59/2.20 cnf(c_752,plain,
% 11.59/2.20 ($uminus_int($sum_int($uminus_int(X0_3),X0_3)) = 0),
% 11.59/2.20 inference(superposition,[status(thm)],[c_63,c_62])).
% 11.59/2.20
% 11.59/2.20 cnf(c_753,plain,
% 11.59/2.20 ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X0_3,X1_3))),
% 11.59/2.20 inference(superposition,[status(thm)],[c_63,c_66])).
% 11.59/2.20
% 11.59/2.20 cnf(c_784,plain,
% 11.59/2.20 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 11.59/2.20 inference(superposition,[status(thm)],[c_62,c_527])).
% 11.59/2.20
% 11.59/2.20 cnf(c_826,plain,
% 11.59/2.20 ($sum_int(X0_3,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(1,X1_3))),
% 11.59/2.20 inference(superposition,[status(thm)],[c_53,c_51])).
% 11.59/2.20
% 11.59/2.20 cnf(c_911,plain,
% 11.59/2.20 ($uminus_int($sum_int(X0_3,$uminus_int(X0_3))) = 0),
% 11.59/2.20 inference(theory_normalisation,[status(thm)],[c_752,c_65,c_66,c_54,c_55])).
% 11.59/2.20
% 11.59/2.20 cnf(c_912,plain,
% 11.59/2.20 ($uminus_int(0) = 0),
% 11.59/2.20 inference(demodulation,[status(thm)],[c_911,c_62])).
% 11.59/2.20
% 11.59/2.20 cnf(c_926,plain,
% 11.59/2.20 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 11.59/2.20 inference(demodulation,[status(thm)],[c_784,c_64])).
% 11.59/2.20
% 11.59/2.20 cnf(c_1607,plain,
% 11.59/2.20 ($sum_int(X0_3,$uminus_int($sum_int(X1_3,X0_3))) = $uminus_int(X1_3)),
% 11.59/2.20 inference(superposition,[status(thm)],[c_753,c_926])).
% 11.59/2.20
% 11.59/2.20 cnf(c_1730,plain,
% 11.59/2.20 ($sum_int(X0_3,$product_int(X0_3,$uminus_int(1))) = $product_int(X0_3,0)),
% 11.59/2.20 inference(superposition,[status(thm)],[c_62,c_826])).
% 11.59/2.20
% 11.59/2.20 cnf(c_5485,plain,
% 11.59/2.20 ($sum_int(X0_3,$product_int(X0_3,$uminus_int(1))) = 0),
% 11.59/2.20 inference(demodulation,[status(thm)],[c_1730,c_52])).
% 11.59/2.20
% 11.59/2.20 cnf(c_9831,plain,
% 11.59/2.20 ($sum_int($product_int(X0_3,$uminus_int(1)),$uminus_int(0)) = $uminus_int(X0_3)),
% 11.59/2.20 inference(superposition,[status(thm)],[c_5485,c_1607])).
% 11.59/2.20
% 11.59/2.20 cnf(c_10948,plain,
% 11.59/2.20 ($product_int(X0_3,$uminus_int(1)) = $uminus_int(X0_3)),
% 11.59/2.20 inference(demodulation,[status(thm)],[c_9831,c_64,c_912])).
% 11.59/2.20
% 11.59/2.20 cnf(c_15214,plain,
% 11.59/2.20 ($sum_int($uminus_int(3),$product_int(5,X0_3)) != 22),
% 11.59/2.20 inference(superposition,[status(thm)],[c_10948,c_67])).
% 11.59/2.20
% 11.59/2.20 cnf(c_15341,plain,
% 11.59/2.20 (X0_3 != 5),
% 11.59/2.20 inference(smt_theory_normalisation,[status(thm)],[c_15214])).
% 11.59/2.20
% 11.59/2.20 cnf(c_15400,plain,
% 11.59/2.20 ($false),
% 11.59/2.20 inference(equality_resolution,[status(thm)],[c_15341])).
% 11.59/2.20
% 11.59/2.20
% 11.59/2.20 % SZS output end CNFRefutation for theBenchmark.p
% 11.59/2.20
% 11.59/2.20
%------------------------------------------------------------------------------