TSTP Solution File: ARI614_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI614_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 3.85s 1.20s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : ARI614_1 : TPTP v8.1.2. Released v5.1.0.
% 0.05/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n007.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 00:49:20 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
% 3.85/1.20 % SZS status Started for theBenchmark.p
% 3.85/1.20 % SZS status Theorem for theBenchmark.p
% 3.85/1.20
% 3.85/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.85/1.20
% 3.85/1.20 ------ iProver source info
% 3.85/1.20
% 3.85/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.85/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.85/1.20 git: non_committed_changes: false
% 3.85/1.20
% 3.85/1.20 ------ Parsing...
% 3.85/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.85/1.20
% 3.85/1.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.85/1.20
% 3.85/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.85/1.20
% 3.85/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.85/1.20 ------ Proving...
% 3.85/1.20 ------ Problem Properties
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20 clauses 13
% 3.85/1.20 conjectures 0
% 3.85/1.20 EPR 4
% 3.85/1.20 Horn 11
% 3.85/1.20 unary 8
% 3.85/1.20 binary 2
% 3.85/1.20 lits 21
% 3.85/1.20 lits eq 8
% 3.85/1.20 fd_pure 0
% 3.85/1.20 fd_pseudo 0
% 3.85/1.20 fd_cond 0
% 3.85/1.20 fd_pseudo_cond 1
% 3.85/1.20 AC symbols 1
% 3.85/1.20
% 3.85/1.20 ------ Input Options Time Limit: Unbounded
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20 ------
% 3.85/1.20 Current options:
% 3.85/1.20 ------
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20 ------ Proving...
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20 % SZS status Theorem for theBenchmark.p
% 3.85/1.20
% 3.85/1.20 % SZS output start CNFRefutation for theBenchmark.p
% 3.85/1.20
% 3.85/1.20 tff(f1,conjecture,(
% 3.85/1.20 (! [X0 : $int] : ($less(X0,0) => q(X0)) & ! [X0 : $int] : ($less(a,X0) => p(X0))) => ? [X0 : $int,X1 : $int] : (0 = $sum(X0,X1) & q(X1) & p(X0))),
% 3.85/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_a_infty_and_neginfty_1_contain_compl)).
% 3.85/1.20
% 3.85/1.20 tff(f2,negated_conjecture,(
% 3.85/1.20 ~((! [X0 : $int] : ($less(X0,0) => q(X0)) & ! [X0 : $int] : ($less(a,X0) => p(X0))) => ? [X0 : $int,X1 : $int] : (0 = $sum(X0,X1) & q(X1) & p(X0)))),
% 3.85/1.20 inference(negated_conjecture,[],[f1])).
% 3.85/1.20
% 3.85/1.20 tff(f3,plain,(
% 3.85/1.20 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.85/1.20 introduced(theory_axiom_138,[])).
% 3.85/1.20
% 3.85/1.20 tff(f4,plain,(
% 3.85/1.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.85/1.20 introduced(theory_axiom_139,[])).
% 3.85/1.20
% 3.85/1.20 tff(f5,plain,(
% 3.85/1.20 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 3.85/1.20 introduced(theory_axiom_140,[])).
% 3.85/1.20
% 3.85/1.20 tff(f7,plain,(
% 3.85/1.20 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 3.85/1.20 introduced(theory_axiom_143,[])).
% 3.85/1.20
% 3.85/1.20 tff(f8,plain,(
% 3.85/1.20 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.85/1.20 introduced(theory_axiom_145,[])).
% 3.85/1.20
% 3.85/1.20 tff(f9,plain,(
% 3.85/1.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.85/1.20 introduced(theory_axiom_146,[])).
% 3.85/1.20
% 3.85/1.20 tff(f12,plain,(
% 3.85/1.20 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.85/1.20 introduced(theory_axiom_150,[])).
% 3.85/1.20
% 3.85/1.20 tff(f15,plain,(
% 3.85/1.20 ~((! [X0 : $int] : ($less(X0,0) => q(X0)) & ! [X1 : $int] : ($less(a,X1) => p(X1))) => ? [X2 : $int,X3 : $int] : (0 = $sum(X2,X3) & q(X3) & p(X2)))),
% 3.85/1.20 inference(rectify,[],[f2])).
% 3.85/1.20
% 3.85/1.20 tff(f16,plain,(
% 3.85/1.20 ! [X2 : $int,X3 : $int] : (0 != $sum(X2,X3) | ~q(X3) | ~p(X2)) & (! [X0 : $int] : (q(X0) | ~$less(X0,0)) & ! [X1 : $int] : (p(X1) | ~$less(a,X1)))),
% 3.85/1.20 inference(ennf_transformation,[],[f15])).
% 3.85/1.20
% 3.85/1.20 tff(f17,plain,(
% 3.85/1.20 ! [X2 : $int,X3 : $int] : (0 != $sum(X2,X3) | ~q(X3) | ~p(X2)) & ! [X0 : $int] : (q(X0) | ~$less(X0,0)) & ! [X1 : $int] : (p(X1) | ~$less(a,X1))),
% 3.85/1.20 inference(flattening,[],[f16])).
% 3.85/1.20
% 3.85/1.20 tff(f18,plain,(
% 3.85/1.20 ! [X0 : $int,X1 : $int] : (0 != $sum(X0,X1) | ~q(X1) | ~p(X0)) & ! [X2 : $int] : (q(X2) | ~$less(X2,0)) & ! [X3 : $int] : (p(X3) | ~$less(a,X3))),
% 3.85/1.20 inference(rectify,[],[f17])).
% 3.85/1.20
% 3.85/1.20 tff(f19,plain,(
% 3.85/1.20 ( ! [X3 : $int] : (p(X3) | ~$less(a,X3)) )),
% 3.85/1.20 inference(cnf_transformation,[],[f18])).
% 3.85/1.20
% 3.85/1.20 tff(f20,plain,(
% 3.85/1.20 ( ! [X2 : $int] : (q(X2) | ~$less(X2,0)) )),
% 3.85/1.20 inference(cnf_transformation,[],[f18])).
% 3.85/1.20
% 3.85/1.20 tff(f21,plain,(
% 3.85/1.20 ( ! [X0 : $int,X1 : $int] : (0 != $sum(X0,X1) | ~q(X1) | ~p(X0)) )),
% 3.85/1.20 inference(cnf_transformation,[],[f18])).
% 3.85/1.20
% 3.85/1.20 cnf(c_51,plain,
% 3.85/1.20 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f12])).
% 3.85/1.20
% 3.85/1.20 cnf(c_54,plain,
% 3.85/1.20 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f9])).
% 3.85/1.20
% 3.85/1.20 cnf(c_55,plain,
% 3.85/1.20 (~$less_int(X0_3,X0_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f8])).
% 3.85/1.20
% 3.85/1.20 cnf(c_56,plain,
% 3.85/1.20 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 3.85/1.20 inference(cnf_transformation,[],[f7])).
% 3.85/1.20
% 3.85/1.20 cnf(c_58,plain,
% 3.85/1.20 ($sum_int(X0_3,0) = X0_3),
% 3.85/1.20 inference(cnf_transformation,[],[f5])).
% 3.85/1.20
% 3.85/1.20 cnf(c_59,plain,
% 3.85/1.20 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.85/1.20 inference(cnf_transformation,[],[f4])).
% 3.85/1.20
% 3.85/1.20 cnf(c_60,plain,
% 3.85/1.20 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f3])).
% 3.85/1.20
% 3.85/1.20 cnf(c_61,negated_conjecture,
% 3.85/1.20 ($sum_int(X0_3,X1_3) != 0|~p(X0_3)|~q(X1_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f21])).
% 3.85/1.20
% 3.85/1.20 cnf(c_62,negated_conjecture,
% 3.85/1.20 (~$less_int(X0_3,0)|q(X0_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f20])).
% 3.85/1.20
% 3.85/1.20 cnf(c_63,negated_conjecture,
% 3.85/1.20 (~$less_int(a,X0_3)|p(X0_3)),
% 3.85/1.20 inference(cnf_transformation,[],[f19])).
% 3.85/1.20
% 3.85/1.20 cnf(c_64,plain,($less_int(0,1)),theory(arith)).
% 3.85/1.20
% 3.85/1.20 cnf(c_82,plain,
% 3.85/1.20 (p(X0_3)|~$less_int(a,X0_3)),
% 3.85/1.20 inference(prop_impl_just,[status(thm)],[c_63])).
% 3.85/1.20
% 3.85/1.20 cnf(c_83,plain,
% 3.85/1.20 (~$less_int(a,X0_3)|p(X0_3)),
% 3.85/1.20 inference(renaming,[status(thm)],[c_82])).
% 3.85/1.20
% 3.85/1.20 cnf(c_84,plain,
% 3.85/1.20 (~$less_int(X0_3,0)|q(X0_3)),
% 3.85/1.20 inference(prop_impl_just,[status(thm)],[c_62])).
% 3.85/1.20
% 3.85/1.20 cnf(c_212,plain,
% 3.85/1.20 ($sum_int(X0_3,X1_3) != 0|X0_3 != X2_3|~$less_int(a,X2_3)|~q(X1_3)),
% 3.85/1.20 inference(resolution_lifted,[status(thm)],[c_83,c_61])).
% 3.85/1.20
% 3.85/1.20 cnf(c_213,plain,
% 3.85/1.20 ($sum_int(X0_3,X1_3) != 0|~$less_int(a,X0_3)|~q(X1_3)),
% 3.85/1.20 inference(unflattening,[status(thm)],[c_212])).
% 3.85/1.20
% 3.85/1.20 cnf(c_227,plain,
% 3.85/1.20 ($sum_int(X0_3,X1_3) != 0|X1_3 != X2_3|~$less_int(X2_3,0)|~$less_int(a,X0_3)),
% 3.85/1.20 inference(resolution_lifted,[status(thm)],[c_213,c_84])).
% 3.85/1.20
% 3.85/1.20 cnf(c_228,plain,
% 3.85/1.20 ($sum_int(X0_3,X1_3) != 0|~$less_int(X1_3,0)|~$less_int(a,X0_3)),
% 3.85/1.20 inference(unflattening,[status(thm)],[c_227])).
% 3.85/1.20
% 3.85/1.20 cnf(c_563,plain,
% 3.85/1.20 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 3.85/1.20 inference(superposition,[status(thm)],[c_59,c_60])).
% 3.85/1.20
% 3.85/1.20 cnf(c_571,plain,
% 3.85/1.20 (~$less_int($uminus_int(X0_3),0)|~$less_int(a,X0_3)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_56,c_228])).
% 3.85/1.20
% 3.85/1.20 cnf(c_576,plain,
% 3.85/1.20 (~$less_int(a,X0_3)|~$less_int(0,X0_3)),
% 3.85/1.20 inference(smt_theory_normalisation,[status(thm)],[c_571])).
% 3.85/1.20
% 3.85/1.20 cnf(c_585,plain,
% 3.85/1.20 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.85/1.20 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.85/1.20
% 3.85/1.20 cnf(c_593,plain,
% 3.85/1.20 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_56,c_563])).
% 3.85/1.20
% 3.85/1.20 cnf(c_595,plain,
% 3.85/1.20 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) != 0|~$less_int($sum_int(X0_3,X2_3),0)|
% 3.85/1.20 ~$less_int(a,X1_3)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_563,c_228])).
% 3.85/1.20
% 3.85/1.20 cnf(c_610,plain,
% 3.85/1.20 ($sum_int(0,X0_3) = X0_3),
% 3.85/1.20 inference(superposition,[status(thm)],[c_60,c_58])).
% 3.85/1.20
% 3.85/1.20 cnf(c_708,plain,
% 3.85/1.20 ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_610,c_51])).
% 3.85/1.20
% 3.85/1.20 cnf(c_861,plain,
% 3.85/1.20 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 3.85/1.20 inference(demodulation,[status(thm)],[c_593,c_58])).
% 3.85/1.20
% 3.85/1.20 cnf(c_877,plain,
% 3.85/1.20 (X0_3 != 0|~$less_int($sum_int(X1_3,$uminus_int(X1_3)),0)|~$less_int(a,X0_3)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_861,c_595])).
% 3.85/1.20
% 3.85/1.20 cnf(c_1074,plain,
% 3.85/1.20 (~$less_int(0,1)|$less_int(0,a)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_708,c_576])).
% 3.85/1.20
% 3.85/1.20 cnf(c_1075,plain,
% 3.85/1.20 ($less_int(0,a)),
% 3.85/1.20 inference(forward_subsumption_resolution,[status(thm)],[c_1074,c_64])).
% 3.85/1.20
% 3.85/1.20 cnf(c_1084,plain,
% 3.85/1.20 (~$less_int(a,X0_3)|$less_int(0,X0_3)),
% 3.85/1.20 inference(superposition,[status(thm)],[c_1075,c_54])).
% 3.85/1.20
% 3.85/1.20 cnf(c_1239,plain,
% 3.85/1.20 (~$less_int(a,X0_3)),
% 3.85/1.20 inference(global_subsumption_just,[status(thm)],[c_877,c_576,c_1084])).
% 3.85/1.20
% 3.85/1.20 cnf(c_1245,plain,
% 3.85/1.20 ($false),
% 3.85/1.20 inference(superposition,[status(thm)],[c_585,c_1239])).
% 3.85/1.20
% 3.85/1.20
% 3.85/1.20 % SZS output end CNFRefutation for theBenchmark.p
% 3.85/1.20
% 3.85/1.20
%------------------------------------------------------------------------------