TSTP Solution File: ARI581_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI581_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:07:18 EDT 2024
% Result : Theorem 27.96s 4.23s
% Output : CNFRefutation 27.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI581_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n029.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 01:24:22 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
% 27.96/4.23 % SZS status Started for theBenchmark.p
% 27.96/4.23 % SZS status Theorem for theBenchmark.p
% 27.96/4.23
% 27.96/4.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.96/4.23
% 27.96/4.23 ------ iProver source info
% 27.96/4.23
% 27.96/4.23 git: date: 2024-05-02 19:28:25 +0000
% 27.96/4.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 27.96/4.23 git: non_committed_changes: false
% 27.96/4.23
% 27.96/4.23 ------ Parsing...
% 27.96/4.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 27.96/4.23
% 27.96/4.23 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 27.96/4.23
% 27.96/4.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 27.96/4.23
% 27.96/4.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.96/4.23 ------ Proving...
% 27.96/4.23 ------ Problem Properties
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23 clauses 18
% 27.96/4.23 conjectures 12
% 27.96/4.23 EPR 8
% 27.96/4.23 Horn 16
% 27.96/4.23 unary 12
% 27.96/4.23 binary 4
% 27.96/4.23 lits 26
% 27.96/4.23 lits eq 7
% 27.96/4.23 fd_pure 0
% 27.96/4.23 fd_pseudo 0
% 27.96/4.23 fd_cond 0
% 27.96/4.23 fd_pseudo_cond 1
% 27.96/4.23 AC symbols 1
% 27.96/4.23
% 27.96/4.23 ------ Input Options Time Limit: Unbounded
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23 ------
% 27.96/4.23 Current options:
% 27.96/4.23 ------
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23 ------ Proving...
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23 % SZS status Theorem for theBenchmark.p
% 27.96/4.23
% 27.96/4.23 % SZS output start CNFRefutation for theBenchmark.p
% 27.96/4.23
% 27.96/4.23 tff(f1,conjecture,(
% 27.96/4.23 ! [X0 : $int] : ($less(5,X0) => ? [X1 : $int] : ($less(7,$sum(X0,X1)) & $less(X1,3)))),
% 27.96/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_2)).
% 27.96/4.23
% 27.96/4.23 tff(f2,negated_conjecture,(
% 27.96/4.23 ~! [X0 : $int] : ($less(5,X0) => ? [X1 : $int] : ($less(7,$sum(X0,X1)) & $less(X1,3)))),
% 27.96/4.23 inference(negated_conjecture,[],[f1])).
% 27.96/4.23
% 27.96/4.23 tff(f3,plain,(
% 27.96/4.23 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 27.96/4.23 introduced(theory_axiom_138,[])).
% 27.96/4.23
% 27.96/4.23 tff(f4,plain,(
% 27.96/4.23 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 27.96/4.23 introduced(theory_axiom_139,[])).
% 27.96/4.23
% 27.96/4.23 tff(f12,plain,(
% 27.96/4.23 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 27.96/4.23 introduced(theory_axiom_150,[])).
% 27.96/4.23
% 27.96/4.23 tff(f14,plain,(
% 27.96/4.23 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 27.96/4.23 introduced(theory_axiom_164,[])).
% 27.96/4.23
% 27.96/4.23 tff(f15,plain,(
% 27.96/4.23 ? [X0 : $int] : (! [X1 : $int] : (~$less(7,$sum(X0,X1)) | ~$less(X1,3)) & $less(5,X0))),
% 27.96/4.23 inference(ennf_transformation,[],[f2])).
% 27.96/4.23
% 27.96/4.23 tff(f16,plain,(
% 27.96/4.23 ? [X0 : $int] : (! [X1 : $int] : (~$less(7,$sum(X0,X1)) | ~$less(X1,3)) & $less(5,X0)) => (! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) & $less(5,sK0))),
% 27.96/4.23 introduced(choice_axiom,[])).
% 27.96/4.23
% 27.96/4.23 tff(f17,plain,(
% 27.96/4.23 ! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) & $less(5,sK0)),
% 27.96/4.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16])).
% 27.96/4.23
% 27.96/4.23 tff(f18,plain,(
% 27.96/4.23 $less(5,sK0)),
% 27.96/4.23 inference(cnf_transformation,[],[f17])).
% 27.96/4.23
% 27.96/4.23 tff(f19,plain,(
% 27.96/4.23 ( ! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) )),
% 27.96/4.23 inference(cnf_transformation,[],[f17])).
% 27.96/4.23
% 27.96/4.23 cnf(c_49,negated_conjecture,
% 27.96/4.23 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 27.96/4.23 inference(cnf_transformation,[],[f14])).
% 27.96/4.23
% 27.96/4.23 cnf(c_51,negated_conjecture,
% 27.96/4.23 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 27.96/4.23 inference(cnf_transformation,[],[f12])).
% 27.96/4.23
% 27.96/4.23 cnf(c_59,negated_conjecture,
% 27.96/4.23 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 27.96/4.23 inference(cnf_transformation,[],[f4])).
% 27.96/4.23
% 27.96/4.23 cnf(c_60,negated_conjecture,
% 27.96/4.23 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 27.96/4.23 inference(cnf_transformation,[],[f3])).
% 27.96/4.23
% 27.96/4.23 cnf(c_61,negated_conjecture,
% 27.96/4.23 (~$less_int(7,$sum_int(sK0,X0_3))|~$less_int(X0_3,3)),
% 27.96/4.23 inference(cnf_transformation,[],[f19])).
% 27.96/4.23
% 27.96/4.23 cnf(c_62,negated_conjecture,
% 27.96/4.23 ($less_int(5,sK0)),
% 27.96/4.23 inference(cnf_transformation,[],[f18])).
% 27.96/4.23
% 27.96/4.23 cnf(c_453,plain,
% 27.96/4.23 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 27.96/4.23 inference(superposition,[status(thm)],[c_59,c_60])).
% 27.96/4.23
% 27.96/4.23 cnf(c_629,plain,
% 27.96/4.23 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_60,c_51])).
% 27.96/4.23
% 27.96/4.23 cnf(c_680,plain,
% 27.96/4.23 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_60,c_49])).
% 27.96/4.23
% 27.96/4.23 cnf(c_743,plain,
% 27.96/4.23 (~$less_int(7,$sum_int(X0_3,$sum_int(sK0,X1_3)))|~$less_int($sum_int(X0_3,X1_3),3)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_453,c_61])).
% 27.96/4.23
% 27.96/4.23 cnf(c_769,plain,
% 27.96/4.23 ($less_int(X0_3,$sum_int(X1_3,$sum_int(X2_3,1)))|$less_int($sum_int(X1_3,X2_3),X0_3)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_59,c_51])).
% 27.96/4.23
% 27.96/4.23 cnf(c_1486,plain,
% 27.96/4.23 (~$less_int($sum_int(X0_3,1),X1_3)|$less_int($sum_int(1,X0_3),X1_3)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_769,c_680])).
% 27.96/4.23
% 27.96/4.23 cnf(c_3528,plain,
% 27.96/4.23 (~$less_int($sum_int(1,X0_3),3)|$less_int($sum_int(sK0,X0_3),7)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_629,c_743])).
% 27.96/4.23
% 27.96/4.23 cnf(c_3987,plain,
% 27.96/4.23 (~$less_int(X0_3,2)|$less_int($sum_int(sK0,X0_3),7)),
% 27.96/4.23 inference(smt_theory_normalisation,[status(thm)],[c_3528])).
% 27.96/4.23
% 27.96/4.23 cnf(c_7606,plain,
% 27.96/4.23 (~$less_int(1,2)|$less_int($sum_int(1,sK0),7)),
% 27.96/4.23 inference(superposition,[status(thm)],[c_3987,c_1486])).
% 27.96/4.23
% 27.96/4.23 cnf(c_8340,plain,
% 27.96/4.23 ($less_int(sK0,6)),
% 27.96/4.23 inference(smt_theory_normalisation,[status(thm)],[c_7606])).
% 27.96/4.23
% 27.96/4.23 cnf(c_54855,plain,
% 27.96/4.23 ($false),
% 27.96/4.23 inference(smt_impl_just,[status(thm)],[c_8340,c_62])).
% 27.96/4.23
% 27.96/4.23
% 27.96/4.23 % SZS output end CNFRefutation for theBenchmark.p
% 27.96/4.23
% 27.96/4.23
%------------------------------------------------------------------------------