TSTP Solution File: ARI680_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI680_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:07:32 EDT 2024
% Result : Theorem 2.89s 1.15s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI680_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n023.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 01:11:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 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
% 2.89/1.15 % SZS status Started for theBenchmark.p
% 2.89/1.15 % SZS status Theorem for theBenchmark.p
% 2.89/1.15
% 2.89/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.89/1.15
% 2.89/1.15 ------ iProver source info
% 2.89/1.15
% 2.89/1.15 git: date: 2024-05-02 19:28:25 +0000
% 2.89/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.89/1.15 git: non_committed_changes: false
% 2.89/1.15
% 2.89/1.15 ------ Parsing...
% 2.89/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.89/1.15
% 2.89/1.15 ------ 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
% 2.89/1.15
% 2.89/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.89/1.15
% 2.89/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.89/1.15 ------ Proving...
% 2.89/1.15 ------ Problem Properties
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15 clauses 26
% 2.89/1.15 conjectures 1
% 2.89/1.15 EPR 11
% 2.89/1.15 Horn 23
% 2.89/1.15 unary 21
% 2.89/1.15 binary 2
% 2.89/1.15 lits 34
% 2.89/1.15 lits eq 15
% 2.89/1.15 fd_pure 0
% 2.89/1.15 fd_pseudo 0
% 2.89/1.15 fd_cond 0
% 2.89/1.15 fd_pseudo_cond 2
% 2.89/1.15 AC symbols 2
% 2.89/1.15
% 2.89/1.15 ------ Input Options Time Limit: Unbounded
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15 ------
% 2.89/1.15 Current options:
% 2.89/1.15 ------
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15 ------ Proving...
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15 % SZS status Theorem for theBenchmark.p
% 2.89/1.15
% 2.89/1.15 % SZS output start CNFRefutation for theBenchmark.p
% 2.89/1.15
% 2.89/1.15 tff(f1,axiom,(
% 2.89/1.15 $greater(4,$sum($product($product(3,x),y),$product(7,a)))),
% 2.89/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 2.89/1.15
% 2.89/1.15 tff(f2,axiom,(
% 2.89/1.15 $less(3,$product(2,x))),
% 2.89/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001)).
% 2.89/1.15
% 2.89/1.15 tff(f3,axiom,(
% 2.89/1.15 $less(1,y)),
% 2.89/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_002)).
% 2.89/1.15
% 2.89/1.15 tff(f4,conjecture,(
% 2.89/1.15 $greater(0,a)),
% 2.89/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_003)).
% 2.89/1.15
% 2.89/1.15 tff(f5,negated_conjecture,(
% 2.89/1.15 ~$greater(0,a)),
% 2.89/1.15 inference(negated_conjecture,[],[f4])).
% 2.89/1.15
% 2.89/1.15 tff(f6,plain,(
% 2.89/1.15 $less($sum($product($product(3,x),y),$product(7,a)),4)),
% 2.89/1.15 inference(theory_normalization,[],[f1])).
% 2.89/1.15
% 2.89/1.15 tff(f7,plain,(
% 2.89/1.15 ~$less(a,0)),
% 2.89/1.15 inference(theory_normalization,[],[f5])).
% 2.89/1.15
% 2.89/1.15 tff(f8,plain,(
% 2.89/1.15 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.89/1.15 introduced(theory_axiom_138,[])).
% 2.89/1.15
% 2.89/1.15 tff(f9,plain,(
% 2.89/1.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.89/1.15 introduced(theory_axiom_139,[])).
% 2.89/1.15
% 2.89/1.15 tff(f12,plain,(
% 2.89/1.15 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 2.89/1.15 introduced(theory_axiom_143,[])).
% 2.89/1.15
% 2.89/1.15 tff(f17,plain,(
% 2.89/1.15 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 2.89/1.15 introduced(theory_axiom_150,[])).
% 2.89/1.15
% 2.89/1.15 tff(f19,plain,(
% 2.89/1.15 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.89/1.15 introduced(theory_axiom_138,[])).
% 2.89/1.15
% 2.89/1.15 tff(f20,plain,(
% 2.89/1.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.89/1.15 introduced(theory_axiom_139,[])).
% 2.89/1.15
% 2.89/1.15 tff(f26,plain,(
% 2.89/1.15 ~$less(a,0)),
% 2.89/1.15 inference(flattening,[],[f7])).
% 2.89/1.15
% 2.89/1.15 tff(f27,plain,(
% 2.89/1.15 $less($sum($product($product(3,x),y),$product(7,a)),4)),
% 2.89/1.15 inference(cnf_transformation,[],[f6])).
% 2.89/1.15
% 2.89/1.15 tff(f28,plain,(
% 2.89/1.15 $less(3,$product(2,x))),
% 2.89/1.15 inference(cnf_transformation,[],[f2])).
% 2.89/1.15
% 2.89/1.15 tff(f29,plain,(
% 2.89/1.15 $less(1,y)),
% 2.89/1.15 inference(cnf_transformation,[],[f3])).
% 2.89/1.15
% 2.89/1.15 tff(f30,plain,(
% 2.89/1.15 ~$less(a,0)),
% 2.89/1.15 inference(cnf_transformation,[],[f26])).
% 2.89/1.15
% 2.89/1.15 cnf(c_54,plain,
% 2.89/1.15 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.89/1.15 inference(cnf_transformation,[],[f20])).
% 2.89/1.15
% 2.89/1.15 cnf(c_55,plain,
% 2.89/1.15 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.89/1.15 inference(cnf_transformation,[],[f19])).
% 2.89/1.15
% 2.89/1.15 cnf(c_57,plain,
% 2.89/1.15 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 2.89/1.15 inference(cnf_transformation,[],[f17])).
% 2.89/1.15
% 2.89/1.15 cnf(c_62,plain,
% 2.89/1.15 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 2.89/1.15 inference(cnf_transformation,[],[f12])).
% 2.89/1.15
% 2.89/1.15 cnf(c_65,plain,
% 2.89/1.15 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.89/1.15 inference(cnf_transformation,[],[f9])).
% 2.89/1.15
% 2.89/1.15 cnf(c_66,plain,
% 2.89/1.15 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.89/1.15 inference(cnf_transformation,[],[f8])).
% 2.89/1.15
% 2.89/1.15 cnf(c_67,plain,
% 2.89/1.15 ($less_int($sum_int($product_int($product_int(3,x),y),$product_int(7,a)),4)),
% 2.89/1.15 inference(cnf_transformation,[],[f27])).
% 2.89/1.15
% 2.89/1.15 cnf(c_68,plain,
% 2.89/1.15 ($less_int(3,$product_int(2,x))),
% 2.89/1.15 inference(cnf_transformation,[],[f28])).
% 2.89/1.15
% 2.89/1.15 cnf(c_69,plain,($less_int(1,y)),inference(cnf_transformation,[],[f29])).
% 2.89/1.15
% 2.89/1.15 cnf(c_70,negated_conjecture,
% 2.89/1.15 (~$less_int(a,0)),
% 2.89/1.15 inference(cnf_transformation,[],[f30])).
% 2.89/1.15
% 2.89/1.15 cnf(c_91,plain,
% 2.89/1.15 ($less_int($sum_int($product_int(a,7),$product_int(x,$product_int(y,3))),4)),
% 2.89/1.15 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 2.89/1.15
% 2.89/1.15 cnf(c_92,plain,
% 2.89/1.15 ($less_int(3,$product_int(x,2))),
% 2.89/1.15 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 2.89/1.15
% 2.89/1.15 cnf(c_209,plain,
% 2.89/1.15 ($less_int(1,x)),
% 2.89/1.15 inference(smt_theory_normalisation,[status(thm)],[c_92])).
% 2.89/1.15
% 2.89/1.15 cnf(c_732,plain,
% 2.89/1.15 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 2.89/1.15 inference(superposition,[status(thm)],[c_66,c_57])).
% 2.89/1.15
% 2.89/1.15 cnf(c_757,plain,
% 2.89/1.15 ($less_int($uminus_int(1),X0_3)|$less_int(X0_3,0)),
% 2.89/1.15 inference(superposition,[status(thm)],[c_62,c_732])).
% 2.89/1.15
% 2.89/1.15 cnf(c_904,plain,
% 2.89/1.15 ($less_int(X0_3,0)|$less_int(-1,X0_3)),
% 2.89/1.15 inference(smt_theory_normalisation,[status(thm)],[c_757])).
% 2.89/1.15
% 2.89/1.15 cnf(c_915,plain,
% 2.89/1.15 ($less_int(-1,a)),
% 2.89/1.15 inference(superposition,[status(thm)],[c_904,c_70])).
% 2.89/1.15
% 2.89/1.15 cnf(c_5408,plain,
% 2.89/1.15 ($false),
% 2.89/1.15 inference(smt_impl_just,[status(thm)],[c_915,c_209,c_91,c_69])).
% 2.89/1.15
% 2.89/1.15
% 2.89/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 2.89/1.15
% 2.89/1.15
%------------------------------------------------------------------------------