TSTP Solution File: ARI610_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI610_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:07:22 EDT 2024
% Result : Theorem 0.43s 1.12s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI610_1 : TPTP v8.1.2. Released v5.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 00:51:20 EDT 2024
% 0.14/0.34 % 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
% 0.43/1.12 % SZS status Started for theBenchmark.p
% 0.43/1.12 % SZS status Theorem for theBenchmark.p
% 0.43/1.12
% 0.43/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.12
% 0.43/1.12 ------ iProver source info
% 0.43/1.12
% 0.43/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.12 git: non_committed_changes: false
% 0.43/1.12
% 0.43/1.12 ------ Parsing...
% 0.43/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.43/1.12
% 0.43/1.12 ------ 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
% 0.43/1.12
% 0.43/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.43/1.12
% 0.43/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/1.12 ------ Proving...
% 0.43/1.12 ------ Problem Properties
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 clauses 15
% 0.43/1.12 conjectures 3
% 0.43/1.12 EPR 4
% 0.43/1.12 Horn 13
% 0.43/1.12 unary 10
% 0.43/1.12 binary 3
% 0.43/1.12 lits 22
% 0.43/1.12 lits eq 7
% 0.43/1.12 fd_pure 0
% 0.43/1.12 fd_pseudo 0
% 0.43/1.12 fd_cond 0
% 0.43/1.12 fd_pseudo_cond 1
% 0.43/1.12 AC symbols 1
% 0.43/1.12
% 0.43/1.12 ------ Input Options Time Limit: Unbounded
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 ------
% 0.43/1.12 Current options:
% 0.43/1.12 ------
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 ------ Proving...
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 % SZS status Theorem for theBenchmark.p
% 0.43/1.12
% 0.43/1.12 % SZS output start CNFRefutation for theBenchmark.p
% 0.43/1.12
% 0.43/1.12 tff(f1,conjecture,(
% 0.43/1.12 ($less(f(b),f(a)) & ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $lesseq(f(X0),f(X1)))) => $lesseq(f(0),f($sum(a,$uminus(b))))),
% 0.43/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_f_a_b_2)).
% 0.43/1.12
% 0.43/1.12 tff(f2,negated_conjecture,(
% 0.43/1.12 ~(($less(f(b),f(a)) & ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $lesseq(f(X0),f(X1)))) => $lesseq(f(0),f($sum(a,$uminus(b)))))),
% 0.43/1.12 inference(negated_conjecture,[],[f1])).
% 0.43/1.12
% 0.43/1.12 tff(f3,plain,(
% 0.43/1.12 ~(($less(f(b),f(a)) & ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => ~$less(f(X1),f(X0)))) => ~$less(f($sum(a,$uminus(b))),f(0)))),
% 0.43/1.12 inference(theory_normalization,[],[f2])).
% 0.43/1.12
% 0.43/1.12 tff(f4,plain,(
% 0.43/1.12 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.43/1.12 introduced(theory_axiom_138,[])).
% 0.43/1.12
% 0.43/1.12 tff(f5,plain,(
% 0.43/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.43/1.12 introduced(theory_axiom_139,[])).
% 0.43/1.12
% 0.43/1.12 tff(f8,plain,(
% 0.43/1.12 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.43/1.12 introduced(theory_axiom_143,[])).
% 0.43/1.12
% 0.43/1.12 tff(f9,plain,(
% 0.43/1.12 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.43/1.12 introduced(theory_axiom_145,[])).
% 0.43/1.12
% 0.43/1.12 tff(f10,plain,(
% 0.43/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.43/1.12 introduced(theory_axiom_146,[])).
% 0.43/1.12
% 0.43/1.12 tff(f13,plain,(
% 0.43/1.12 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.43/1.12 introduced(theory_axiom_150,[])).
% 0.43/1.12
% 0.43/1.12 tff(f15,plain,(
% 0.43/1.12 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 0.43/1.12 introduced(theory_axiom_164,[])).
% 0.43/1.12
% 0.43/1.12 tff(f16,plain,(
% 0.43/1.12 $less(f($sum(a,$uminus(b))),f(0)) & ($less(f(b),f(a)) & ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0)))),
% 0.43/1.12 inference(ennf_transformation,[],[f3])).
% 0.43/1.12
% 0.43/1.12 tff(f17,plain,(
% 0.43/1.12 $less(f($sum(a,$uminus(b))),f(0)) & $less(f(b),f(a)) & ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0))),
% 0.43/1.12 inference(flattening,[],[f16])).
% 0.43/1.12
% 0.43/1.12 tff(f18,plain,(
% 0.43/1.12 ( ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0)) )),
% 0.43/1.12 inference(cnf_transformation,[],[f17])).
% 0.43/1.12
% 0.43/1.12 tff(f19,plain,(
% 0.43/1.12 $less(f(b),f(a))),
% 0.43/1.12 inference(cnf_transformation,[],[f17])).
% 0.43/1.12
% 0.43/1.12 tff(f20,plain,(
% 0.43/1.12 $less(f($sum(a,$uminus(b))),f(0))),
% 0.43/1.12 inference(cnf_transformation,[],[f17])).
% 0.43/1.12
% 0.43/1.12 cnf(c_49,plain,
% 0.43/1.12 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 0.43/1.12 inference(cnf_transformation,[],[f15])).
% 0.43/1.12
% 0.43/1.12 cnf(c_51,plain,
% 0.43/1.12 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 0.43/1.12 inference(cnf_transformation,[],[f13])).
% 0.43/1.12
% 0.43/1.12 cnf(c_54,plain,
% 0.43/1.12 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 0.43/1.12 inference(cnf_transformation,[],[f10])).
% 0.43/1.12
% 0.43/1.12 cnf(c_55,plain,
% 0.43/1.12 (~$less_int(X0_3,X0_3)),
% 0.43/1.12 inference(cnf_transformation,[],[f9])).
% 0.43/1.12
% 0.43/1.12 cnf(c_56,plain,
% 0.43/1.12 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 0.43/1.12 inference(cnf_transformation,[],[f8])).
% 0.43/1.12
% 0.43/1.12 cnf(c_59,plain,
% 0.43/1.12 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.43/1.12 inference(cnf_transformation,[],[f5])).
% 0.43/1.12
% 0.43/1.12 cnf(c_60,plain,
% 0.43/1.12 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.43/1.12 inference(cnf_transformation,[],[f4])).
% 0.43/1.12
% 0.43/1.12 cnf(c_61,negated_conjecture,
% 0.43/1.12 ($less_int(f($sum_int(a,$uminus_int(b))),f(0))),
% 0.43/1.12 inference(cnf_transformation,[],[f20])).
% 0.43/1.12
% 0.43/1.12 cnf(c_62,negated_conjecture,
% 0.43/1.12 ($less_int(f(b),f(a))),
% 0.43/1.12 inference(cnf_transformation,[],[f19])).
% 0.43/1.12
% 0.43/1.12 cnf(c_63,negated_conjecture,
% 0.43/1.12 (~$less_int(f(X0_3),f(X1_3))|$less_int(X0_3,X1_3)),
% 0.43/1.12 inference(cnf_transformation,[],[f18])).
% 0.43/1.12
% 0.43/1.12 cnf(c_552,plain,
% 0.43/1.12 ($less_int($sum_int(a,$uminus_int(b)),0)),
% 0.43/1.12 inference(superposition,[status(thm)],[c_61,c_63])).
% 0.43/1.12
% 0.43/1.12 cnf(c_553,plain,
% 0.43/1.12 ($less_int(b,a)),
% 0.43/1.12 inference(superposition,[status(thm)],[c_62,c_63])).
% 0.43/1.12
% 0.43/1.12 cnf(c_560,plain,
% 0.43/1.12 ($less_int(X0_3,$sum_int(X0_3,1))),
% 0.43/1.12 inference(superposition,[status(thm)],[c_51,c_55])).
% 0.43/1.12
% 0.43/1.12 cnf(c_576,plain,
% 0.43/1.12 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 0.43/1.12 inference(superposition,[status(thm)],[c_60,c_49])).
% 0.43/1.12
% 0.43/1.12 cnf(c_580,plain,
% 0.43/1.12 ($less_int(X0_3,$sum_int(1,X0_3))),
% 0.43/1.12 inference(superposition,[status(thm)],[c_60,c_560])).
% 0.43/1.12
% 0.43/1.12 cnf(c_660,plain,
% 0.43/1.12 (~$less_int($uminus_int(1),X0_3)|~$less_int(X0_3,0)),
% 0.43/1.12 inference(superposition,[status(thm)],[c_56,c_576])).
% 0.43/1.12
% 0.43/1.12 cnf(c_720,plain,
% 0.43/1.12 (~$less_int(a,X0_3)|$less_int(b,X0_3)),
% 0.43/1.12 inference(superposition,[status(thm)],[c_553,c_54])).
% 0.43/1.12
% 0.43/1.12 cnf(c_905,plain,
% 0.43/1.12 ($less_int(b,$sum_int(1,a))),
% 0.43/1.12 inference(superposition,[status(thm)],[c_580,c_720])).
% 0.43/1.12
% 0.43/1.12 cnf(c_908,plain,
% 0.43/1.12 ($less_int(b,$sum_int(a,1))),
% 0.43/1.12 inference(theory_normalisation,[status(thm)],[c_905,c_59,c_60])).
% 0.43/1.12
% 0.43/1.12 cnf(c_3453,plain,
% 0.43/1.12 (~$less_int(X0_3,0)|~$less_int(-1,X0_3)),
% 0.43/1.12 inference(smt_theory_normalisation,[status(thm)],[c_660])).
% 0.43/1.12
% 0.43/1.12 cnf(c_3484,plain,
% 0.43/1.12 (~$less_int(-1,$sum_int(a,$uminus_int(b)))),
% 0.43/1.12 inference(superposition,[status(thm)],[c_552,c_3453])).
% 0.43/1.12
% 0.43/1.12 cnf(c_5752,plain,
% 0.43/1.12 ($false),
% 0.43/1.12 inference(smt_impl_just,[status(thm)],[c_3484,c_908])).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 0.43/1.12
% 0.43/1.12
%------------------------------------------------------------------------------