TSTP Solution File: ARI584_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI584_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 12.08s 2.17s
% Output : CNFRefutation 12.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ARI584_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n027.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 01:26:50 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running TFA theorem proving
% 0.21/0.48 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
% 12.08/2.17 % SZS status Started for theBenchmark.p
% 12.08/2.17 % SZS status Theorem for theBenchmark.p
% 12.08/2.17
% 12.08/2.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.08/2.17
% 12.08/2.17 ------ iProver source info
% 12.08/2.17
% 12.08/2.17 git: date: 2024-05-02 19:28:25 +0000
% 12.08/2.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.08/2.17 git: non_committed_changes: false
% 12.08/2.17
% 12.08/2.17 ------ Parsing...
% 12.08/2.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 12.08/2.17
% 12.08/2.17 ------ 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
% 12.08/2.17
% 12.08/2.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 12.08/2.17
% 12.08/2.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 12.08/2.17 ------ Proving...
% 12.08/2.17 ------ Problem Properties
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17 clauses 16
% 12.08/2.17 conjectures 2
% 12.08/2.17 EPR 6
% 12.08/2.17 Horn 14
% 12.08/2.17 unary 10
% 12.08/2.17 binary 2
% 12.08/2.17 lits 26
% 12.08/2.17 lits eq 7
% 12.08/2.17 fd_pure 0
% 12.08/2.17 fd_pseudo 0
% 12.08/2.17 fd_cond 0
% 12.08/2.17 fd_pseudo_cond 1
% 12.08/2.17 AC symbols 1
% 12.08/2.17
% 12.08/2.17 ------ Input Options Time Limit: Unbounded
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17 ------
% 12.08/2.17 Current options:
% 12.08/2.17 ------
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17 ------ Proving...
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17 % SZS status Theorem for theBenchmark.p
% 12.08/2.17
% 12.08/2.17 % SZS output start CNFRefutation for theBenchmark.p
% 12.08/2.17
% 12.08/2.17 tff(f1,conjecture,(
% 12.08/2.17 ! [X0 : $int,X1 : $int] : ? [X2 : $int] : (~($less(X2,$sum(X1,3)) & $less(X1,X2)) & $less(X2,$sum(X0,5)) & $less(X0,X2))),
% 12.08/2.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_3_cannot_cover_interv_5)).
% 12.08/2.17
% 12.08/2.17 tff(f2,negated_conjecture,(
% 12.08/2.17 ~! [X0 : $int,X1 : $int] : ? [X2 : $int] : (~($less(X2,$sum(X1,3)) & $less(X1,X2)) & $less(X2,$sum(X0,5)) & $less(X0,X2))),
% 12.08/2.17 inference(negated_conjecture,[],[f1])).
% 12.08/2.17
% 12.08/2.17 tff(f3,plain,(
% 12.08/2.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 12.08/2.17 introduced(theory_axiom_138,[])).
% 12.08/2.17
% 12.08/2.17 tff(f4,plain,(
% 12.08/2.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 12.08/2.17 introduced(theory_axiom_139,[])).
% 12.08/2.17
% 12.08/2.17 tff(f8,plain,(
% 12.08/2.17 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 12.08/2.17 introduced(theory_axiom_145,[])).
% 12.08/2.17
% 12.08/2.17 tff(f9,plain,(
% 12.08/2.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 12.08/2.17 introduced(theory_axiom_146,[])).
% 12.08/2.17
% 12.08/2.17 tff(f10,plain,(
% 12.08/2.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 12.08/2.17 introduced(theory_axiom_147,[])).
% 12.08/2.17
% 12.08/2.17 tff(f12,plain,(
% 12.08/2.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 12.08/2.17 introduced(theory_axiom_150,[])).
% 12.08/2.17
% 12.08/2.17 tff(f14,plain,(
% 12.08/2.17 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 12.08/2.17 introduced(theory_axiom_164,[])).
% 12.08/2.17
% 12.08/2.17 tff(f15,plain,(
% 12.08/2.17 ? [X0 : $int,X1 : $int] : ! [X2 : $int] : (($less(X2,$sum(X1,3)) & $less(X1,X2)) | ~$less(X2,$sum(X0,5)) | ~$less(X0,X2))),
% 12.08/2.17 inference(ennf_transformation,[],[f2])).
% 12.08/2.17
% 12.08/2.17 tff(f16,plain,(
% 12.08/2.17 ? [X0 : $int,X1 : $int] : ! [X2 : $int] : (($less(X2,$sum(X1,3)) & $less(X1,X2)) | ~$less(X2,$sum(X0,5)) | ~$less(X0,X2)) => ! [X2 : $int] : (($less(X2,$sum(sK1,3)) & $less(sK1,X2)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2))),
% 12.08/2.17 introduced(choice_axiom,[])).
% 12.08/2.17
% 12.08/2.17 tff(f17,plain,(
% 12.08/2.17 ! [X2 : $int] : (($less(X2,$sum(sK1,3)) & $less(sK1,X2)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2))),
% 12.08/2.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16])).
% 12.08/2.17
% 12.08/2.17 tff(f18,plain,(
% 12.08/2.17 ( ! [X2 : $int] : ($less(sK1,X2) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2)) )),
% 12.08/2.17 inference(cnf_transformation,[],[f17])).
% 12.08/2.17
% 12.08/2.17 tff(f19,plain,(
% 12.08/2.17 ( ! [X2 : $int] : ($less(X2,$sum(sK1,3)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2)) )),
% 12.08/2.17 inference(cnf_transformation,[],[f17])).
% 12.08/2.17
% 12.08/2.17 cnf(c_49,plain,
% 12.08/2.17 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f14])).
% 12.08/2.17
% 12.08/2.17 cnf(c_51,plain,
% 12.08/2.17 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f12])).
% 12.08/2.17
% 12.08/2.17 cnf(c_53,plain,
% 12.08/2.17 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f10])).
% 12.08/2.17
% 12.08/2.17 cnf(c_54,plain,
% 12.08/2.17 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f9])).
% 12.08/2.17
% 12.08/2.17 cnf(c_55,plain,
% 12.08/2.17 (~$less_int(X0_3,X0_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f8])).
% 12.08/2.17
% 12.08/2.17 cnf(c_59,plain,
% 12.08/2.17 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 12.08/2.17 inference(cnf_transformation,[],[f4])).
% 12.08/2.17
% 12.08/2.17 cnf(c_60,plain,
% 12.08/2.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f3])).
% 12.08/2.17
% 12.08/2.17 cnf(c_61,negated_conjecture,
% 12.08/2.17 (~$less_int(X0_3,$sum_int(sK0,5))|~$less_int(sK0,X0_3)|$less_int(X0_3,$sum_int(sK1,3))),
% 12.08/2.17 inference(cnf_transformation,[],[f19])).
% 12.08/2.17
% 12.08/2.17 cnf(c_62,negated_conjecture,
% 12.08/2.17 (~$less_int(X0_3,$sum_int(sK0,5))|~$less_int(sK0,X0_3)|$less_int(sK1,X0_3)),
% 12.08/2.17 inference(cnf_transformation,[],[f18])).
% 12.08/2.17
% 12.08/2.17 cnf(c_587,plain,
% 12.08/2.17 ($less_int(X0_3,$sum_int(X0_3,1))),
% 12.08/2.17 inference(superposition,[status(thm)],[c_51,c_55])).
% 12.08/2.17
% 12.08/2.17 cnf(c_621,plain,
% 12.08/2.17 (~$less_int(sK0,X0_3)|$sum_int(sK0,5) = X0_3|$less_int($sum_int(sK0,5),X0_3)|
% 12.08/2.17 $less_int(sK1,X0_3)),
% 12.08/2.17 inference(superposition,[status(thm)],[c_53,c_62])).
% 12.08/2.17
% 12.08/2.17 cnf(c_635,plain,
% 12.08/2.17 ($less_int(X0_3,$sum_int(1,X0_3))),
% 12.08/2.17 inference(superposition,[status(thm)],[c_60,c_587])).
% 12.08/2.17
% 12.08/2.17 cnf(c_667,plain,
% 12.08/2.17 (~$less_int(X0_3,$sum_int(sK0,5))|~$less_int(sK0,$sum_int(X0_3,1))|
% 12.08/2.17 $sum_int(X0_3,1) = $sum_int(sK0,5)|$less_int(sK1,$sum_int(X0_3,1))),
% 12.08/2.17 inference(superposition,[status(thm)],[c_621,c_49])).
% 12.08/2.17
% 12.08/2.17 cnf(c_712,plain,
% 12.08/2.17 (~$less_int(X0_3,$sum_int(sK0,5))|~$less_int(sK0,$sum_int(X0_3,1))|
% 12.08/2.17 $sum_int(4,sK0) = X0_3|$less_int(sK1,$sum_int(X0_3,1))),
% 12.08/2.17 inference(smt_theory_normalisation,[status(thm)],[c_667])).
% 12.08/2.17
% 12.08/2.17 cnf(c_714,plain,
% 12.08/2.17 (~$less_int(X0_3,$sum_int(sK0,5))|~$less_int(sK0,$sum_int(X0_3,1))|
% 12.08/2.17 $sum_int(sK0,4) = X0_3|$less_int(sK1,$sum_int(X0_3,1))),
% 12.08/2.17 inference(theory_normalisation,[status(thm)],[c_712,c_59,c_60])).
% 12.08/2.17
% 12.08/2.17 cnf(c_723,plain,
% 12.08/2.17 (~$less_int(sK0,$sum_int(X0_3,1))|$sum_int(sK0,5) = X0_3|$sum_int(sK0,4) = X0_3|
% 12.08/2.17 $less_int($sum_int(sK0,5),X0_3)|$less_int(sK1,$sum_int(X0_3,1))),
% 12.08/2.17 inference(superposition,[status(thm)],[c_53,c_714])).
% 12.08/2.17
% 12.08/2.17 cnf(c_775,plain,
% 12.08/2.17 ($sum_int(sK0,5) = sK0|$sum_int(sK0,4) = sK0|$less_int($sum_int(sK0,5),sK0)|
% 12.08/2.17 $less_int(sK1,$sum_int(sK0,1))),
% 12.08/2.17 inference(superposition,[status(thm)],[c_587,c_723])).
% 12.08/2.17
% 12.08/2.17 cnf(c_898,plain,
% 12.08/2.17 (~$less_int($sum_int(X0_3,1),X1_3)|$less_int(X0_3,X2_3)|$less_int(X2_3,X1_3)),
% 12.08/2.17 inference(superposition,[status(thm)],[c_51,c_54])).
% 12.08/2.17
% 12.08/2.17 cnf(c_2904,plain,
% 12.08/2.17 ($less_int(X0_3,$sum_int(1,$sum_int(X1_3,1)))|$less_int(X1_3,X0_3)),
% 12.08/2.17 inference(superposition,[status(thm)],[c_635,c_898])).
% 12.08/2.17
% 12.08/2.17 cnf(c_43789,plain,
% 12.08/2.17 ($less_int($sum_int(-2,X0_3),X1_3)|$less_int(X1_3,X0_3)),
% 12.08/2.17 inference(smt_theory_normalisation,[status(thm)],[c_2904])).
% 12.08/2.17
% 12.08/2.17 cnf(c_43805,plain,
% 12.08/2.17 ($less_int($sum_int(-2,X0_3),X0_3)),
% 12.08/2.17 inference(superposition,[status(thm)],[c_43789,c_55])).
% 12.08/2.17
% 12.08/2.17 cnf(c_43910,plain,
% 12.08/2.17 (~$less_int(sK0,$sum_int(-2,$sum_int(sK0,5)))|$less_int($sum_int(-2,$sum_int(sK0,5)),$sum_int(sK1,3))),
% 12.08/2.17 inference(superposition,[status(thm)],[c_43805,c_61])).
% 12.08/2.17
% 12.08/2.17 cnf(c_43933,plain,
% 12.08/2.17 (~$less_int(sK0,$sum_int(sK0,$sum_int(5,-2)))|$less_int($sum_int(sK0,$sum_int(5,-2)),$sum_int(sK1,3))),
% 12.08/2.17 inference(theory_normalisation,[status(thm)],[c_43910,c_59,c_60])).
% 12.08/2.17
% 12.08/2.17 cnf(c_45915,plain,
% 12.08/2.17 ($less_int(sK0,sK1)),
% 12.08/2.17 inference(smt_theory_normalisation,[status(thm)],[c_43933])).
% 12.08/2.17
% 12.08/2.17 cnf(c_58017,plain,
% 12.08/2.17 ($false),
% 12.08/2.17 inference(smt_impl_just,[status(thm)],[c_45915,c_775])).
% 12.08/2.17
% 12.08/2.17
% 12.08/2.17 % SZS output end CNFRefutation for theBenchmark.p
% 12.08/2.17
% 12.08/2.17
%------------------------------------------------------------------------------