TSTP Solution File: ARI648_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI648_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:07:27 EDT 2024
% Result : Theorem 3.24s 1.19s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI648_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 01:13:31 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.47 Running TFA theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.24/1.19 % SZS status Started for theBenchmark.p
% 3.24/1.19 % SZS status Theorem for theBenchmark.p
% 3.24/1.19
% 3.24/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.24/1.19
% 3.24/1.19 ------ iProver source info
% 3.24/1.19
% 3.24/1.19 git: date: 2024-05-02 19:28:25 +0000
% 3.24/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.24/1.19 git: non_committed_changes: false
% 3.24/1.19
% 3.24/1.19 ------ Parsing...
% 3.24/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.24/1.19
% 3.24/1.19 ------ Preprocessing... sup_sim: 4 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
% 3.24/1.19
% 3.24/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.24/1.19
% 3.24/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.24/1.19 ------ Proving...
% 3.24/1.19 ------ Problem Properties
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19 clauses 30
% 3.24/1.19 conjectures 1
% 3.24/1.19 EPR 13
% 3.24/1.19 Horn 26
% 3.24/1.19 unary 24
% 3.24/1.19 binary 3
% 3.24/1.19 lits 39
% 3.24/1.19 lits eq 16
% 3.24/1.19 fd_pure 0
% 3.24/1.19 fd_pseudo 0
% 3.24/1.19 fd_cond 0
% 3.24/1.19 fd_pseudo_cond 2
% 3.24/1.19 AC symbols 2
% 3.24/1.19
% 3.24/1.19 ------ Input Options Time Limit: Unbounded
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19 ------
% 3.24/1.19 Current options:
% 3.24/1.19 ------
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19 ------ Proving...
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19 % SZS status Theorem for theBenchmark.p
% 3.24/1.19
% 3.24/1.19 % SZS output start CNFRefutation for theBenchmark.p
% 3.24/1.19
% 3.24/1.19 tff(f1,axiom,(
% 3.24/1.19 $less(0,$product(2,a)) | $greater(8,$difference($product(2,a),$product(4,b)))),
% 3.24/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 3.24/1.19
% 3.24/1.19 tff(f2,conjecture,(
% 3.24/1.19 $lesseq(1,a) | $greatereq(3,$sum(a,$product(-1,$product(2,b)))) | $sum($product(20,a),$product(-1,$product(30,b))) = 7),
% 3.24/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001)).
% 3.24/1.19
% 3.24/1.19 tff(f3,negated_conjecture,(
% 3.24/1.19 ~($lesseq(1,a) | $greatereq(3,$sum(a,$product(-1,$product(2,b)))) | $sum($product(20,a),$product(-1,$product(30,b))) = 7)),
% 3.24/1.19 inference(negated_conjecture,[],[f2])).
% 3.24/1.19
% 3.24/1.19 tff(f4,plain,(
% 3.24/1.19 $less(0,$product(2,a)) | $less($sum($product(2,a),$uminus($product(4,b))),8)),
% 3.24/1.19 inference(theory_normalization,[],[f1])).
% 3.24/1.19
% 3.24/1.19 tff(f5,plain,(
% 3.24/1.19 ~(~$less(a,1) | ~$less(3,$sum(a,$product(-1,$product(2,b)))) | $sum($product(20,a),$product(-1,$product(30,b))) = 7)),
% 3.24/1.19 inference(theory_normalization,[],[f3])).
% 3.24/1.19
% 3.24/1.19 tff(f6,plain,(
% 3.24/1.19 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.24/1.19 introduced(theory_axiom_138,[])).
% 3.24/1.19
% 3.24/1.19 tff(f7,plain,(
% 3.24/1.19 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.24/1.19 introduced(theory_axiom_139,[])).
% 3.24/1.19
% 3.24/1.19 tff(f17,plain,(
% 3.24/1.19 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.24/1.19 introduced(theory_axiom_138,[])).
% 3.24/1.19
% 3.24/1.19 tff(f18,plain,(
% 3.24/1.19 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.24/1.19 introduced(theory_axiom_139,[])).
% 3.24/1.19
% 3.24/1.19 tff(f24,plain,(
% 3.24/1.19 $less(a,1) & $less(3,$sum(a,$product(-1,$product(2,b)))) & $sum($product(20,a),$product(-1,$product(30,b))) != 7),
% 3.24/1.19 inference(ennf_transformation,[],[f5])).
% 3.24/1.19
% 3.24/1.19 tff(f25,plain,(
% 3.24/1.19 $less(0,$product(2,a)) | $less($sum($product(2,a),$uminus($product(4,b))),8)),
% 3.24/1.19 inference(cnf_transformation,[],[f4])).
% 3.24/1.19
% 3.24/1.19 tff(f27,plain,(
% 3.24/1.19 $less(3,$sum(a,$product(-1,$product(2,b))))),
% 3.24/1.19 inference(cnf_transformation,[],[f24])).
% 3.24/1.19
% 3.24/1.19 tff(f28,plain,(
% 3.24/1.19 $less(a,1)),
% 3.24/1.19 inference(cnf_transformation,[],[f24])).
% 3.24/1.19
% 3.24/1.19 cnf(c_54,plain,
% 3.24/1.19 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.24/1.19 inference(cnf_transformation,[],[f18])).
% 3.24/1.19
% 3.24/1.19 cnf(c_55,plain,
% 3.24/1.19 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.24/1.19 inference(cnf_transformation,[],[f17])).
% 3.24/1.19
% 3.24/1.19 cnf(c_65,plain,
% 3.24/1.19 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.24/1.19 inference(cnf_transformation,[],[f7])).
% 3.24/1.19
% 3.24/1.19 cnf(c_66,plain,
% 3.24/1.19 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.24/1.19 inference(cnf_transformation,[],[f6])).
% 3.24/1.19
% 3.24/1.19 cnf(c_67,plain,
% 3.24/1.19 ($less_int($sum_int($product_int(2,a),$uminus_int($product_int(4,b))),8)|
% 3.24/1.19 $less_int(0,$product_int(2,a))),
% 3.24/1.19 inference(cnf_transformation,[],[f25])).
% 3.24/1.19
% 3.24/1.19 cnf(c_68,negated_conjecture,
% 3.24/1.19 ($less_int(a,1)),
% 3.24/1.19 inference(cnf_transformation,[],[f28])).
% 3.24/1.19
% 3.24/1.19 cnf(c_69,negated_conjecture,
% 3.24/1.19 ($less_int(3,$sum_int(a,$product_int(-1,$product_int(2,b))))),
% 3.24/1.19 inference(cnf_transformation,[],[f27])).
% 3.24/1.19
% 3.24/1.19 cnf(c_95,plain,
% 3.24/1.19 ($less_int($sum_int($product_int(a,2),$uminus_int($product_int(b,4))),8)|
% 3.24/1.19 $less_int(0,$product_int(a,2))),
% 3.24/1.19 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.24/1.19
% 3.24/1.19 cnf(c_96,negated_conjecture,
% 3.24/1.19 ($less_int(3,$sum_int(a,$product_int(b,$product_int(2,-1))))),
% 3.24/1.19 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 3.24/1.19
% 3.24/1.19 cnf(c_106,plain,
% 3.24/1.19 ($less_int($sum_int($product_int(a,2),$uminus_int($product_int(b,4))),8)|
% 3.24/1.19 $less_int(0,$product_int(a,2))),
% 3.24/1.19 inference(prop_impl_just,[status(thm)],[c_95])).
% 3.24/1.19
% 3.24/1.19 cnf(c_235,plain,
% 3.24/1.19 ($less_int(3,$sum_int(a,$product_int(-2,b)))),
% 3.24/1.19 inference(smt_theory_normalisation,[status(thm)],[c_96])).
% 3.24/1.19
% 3.24/1.19 cnf(c_236,plain,
% 3.24/1.19 ($less_int(3,$sum_int(a,$product_int(b,-2)))),
% 3.24/1.19 inference(theory_normalisation,[status(thm)],[c_235,c_65,c_66,c_54,c_55])).
% 3.24/1.19
% 3.24/1.19 cnf(c_256,plain,
% 3.24/1.19 ($less_int($sum_int($product_int(2,a),$product_int(-4,b)),8)|$less_int(0,a)),
% 3.24/1.19 inference(smt_theory_normalisation,[status(thm)],[c_106])).
% 3.24/1.19
% 3.24/1.19 cnf(c_257,plain,
% 3.24/1.19 ($less_int($sum_int($product_int(a,2),$product_int(b,-4)),8)|$less_int(0,a)),
% 3.24/1.19 inference(theory_normalisation,[status(thm)],[c_256,c_65,c_66,c_54,c_55])).
% 3.24/1.19
% 3.24/1.19 cnf(c_279,plain,
% 3.24/1.19 ($less_int($sum_int($product_int(a,2),$product_int(b,-4)),8)|$less_int(0,a)),
% 3.24/1.19 inference(prop_impl_just,[status(thm)],[c_257])).
% 3.24/1.19
% 3.24/1.19 cnf(c_5005,plain,
% 3.24/1.19 ($false),
% 3.24/1.19 inference(smt_impl_just,[status(thm)],[c_279,c_236,c_68])).
% 3.24/1.19
% 3.24/1.19
% 3.24/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 3.24/1.19
% 3.24/1.19
%------------------------------------------------------------------------------