TSTP Solution File: NUM919_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM919_1 : TPTP v8.1.2. Released v5.0.0.
% 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 02:51:05 EDT 2024
% Result : Theorem 46.86s 6.68s
% Output : CNFRefutation 46.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM919_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 19:41:20 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 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
% 46.86/6.68 % SZS status Started for theBenchmark.p
% 46.86/6.68 % SZS status Theorem for theBenchmark.p
% 46.86/6.68
% 46.86/6.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.86/6.68
% 46.86/6.68 ------ iProver source info
% 46.86/6.68
% 46.86/6.68 git: date: 2024-05-02 19:28:25 +0000
% 46.86/6.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 46.86/6.68 git: non_committed_changes: false
% 46.86/6.68
% 46.86/6.68 ------ Parsing...
% 46.86/6.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 46.86/6.68
% 46.86/6.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 46.86/6.68
% 46.86/6.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.86/6.68
% 46.86/6.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 46.86/6.68 ------ Proving...
% 46.86/6.68 ------ Problem Properties
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68 clauses 15
% 46.86/6.68 conjectures 12
% 46.86/6.68 EPR 4
% 46.86/6.68 Horn 13
% 46.86/6.68 unary 8
% 46.86/6.68 binary 5
% 46.86/6.68 lits 24
% 46.86/6.68 lits eq 7
% 46.86/6.68 fd_pure 0
% 46.86/6.68 fd_pseudo 0
% 46.86/6.68 fd_cond 0
% 46.86/6.68 fd_pseudo_cond 1
% 46.86/6.68 AC symbols 1
% 46.86/6.68
% 46.86/6.68 ------ Input Options Time Limit: Unbounded
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68 ------
% 46.86/6.68 Current options:
% 46.86/6.68 ------
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68 ------ Proving...
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68 % SZS status Theorem for theBenchmark.p
% 46.86/6.68
% 46.86/6.68 % SZS output start CNFRefutation for theBenchmark.p
% 46.86/6.68
% 46.86/6.68 tff(f1,conjecture,(
% 46.86/6.68 ! [X0 : $int] : ? [X1 : $int] : (~? [X2 : $int] : ($less(X2,X0) & $less(X1,X2)) & $less(X1,X0))),
% 46.86/6.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 46.86/6.68
% 46.86/6.68 tff(f2,negated_conjecture,(
% 46.86/6.68 ~! [X0 : $int] : ? [X1 : $int] : (~? [X2 : $int] : ($less(X2,X0) & $less(X1,X2)) & $less(X1,X0))),
% 46.86/6.68 inference(negated_conjecture,[],[f1])).
% 46.86/6.68
% 46.86/6.68 tff(f3,plain,(
% 46.86/6.68 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 46.86/6.68 introduced(theory_axiom_138,[])).
% 46.86/6.68
% 46.86/6.68 tff(f4,plain,(
% 46.86/6.68 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 46.86/6.68 introduced(theory_axiom_139,[])).
% 46.86/6.68
% 46.86/6.68 tff(f5,plain,(
% 46.86/6.68 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 46.86/6.68 introduced(theory_axiom_140,[])).
% 46.86/6.68
% 46.86/6.68 tff(f7,plain,(
% 46.86/6.68 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 46.86/6.68 introduced(theory_axiom_143,[])).
% 46.86/6.68
% 46.86/6.68 tff(f14,plain,(
% 46.86/6.68 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 46.86/6.68 introduced(theory_axiom_164,[])).
% 46.86/6.68
% 46.86/6.68 tff(f15,plain,(
% 46.86/6.68 ? [X0 : $int] : ! [X1 : $int] : (? [X2 : $int] : ($less(X2,X0) & $less(X1,X2)) | ~$less(X1,X0))),
% 46.86/6.68 inference(ennf_transformation,[],[f2])).
% 46.86/6.68
% 46.86/6.68 tff(f16,plain,(
% 46.86/6.68 ? [X0 : $int] : ! [X1 : $int] : (? [X2 : $int] : ($less(X2,X0) & $less(X1,X2)) | ~$less(X1,X0)) => ! [X1 : $int] : (? [X2 : $int] : ($less(X2,sK0) & $less(X1,X2)) | ~$less(X1,sK0))),
% 46.86/6.68 introduced(choice_axiom,[])).
% 46.86/6.68
% 46.86/6.68 tff(f17,plain,(
% 46.86/6.68 ! [X1 : $int] : (? [X2 : $int] : ($less(X2,sK0) & $less(X1,X2)) => ($less(sK1(X1),sK0) & $less(X1,sK1(X1))))),
% 46.86/6.68 introduced(choice_axiom,[])).
% 46.86/6.68
% 46.86/6.68 tff(f18,plain,(
% 46.86/6.68 ! [X1 : $int] : (($less(sK1(X1),sK0) & $less(X1,sK1(X1))) | ~$less(X1,sK0))),
% 46.86/6.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f17,f16])).
% 46.86/6.68
% 46.86/6.68 tff(f19,plain,(
% 46.86/6.68 ( ! [X1 : $int] : ($less(X1,sK1(X1)) | ~$less(X1,sK0)) )),
% 46.86/6.68 inference(cnf_transformation,[],[f18])).
% 46.86/6.68
% 46.86/6.68 tff(f20,plain,(
% 46.86/6.68 ( ! [X1 : $int] : ($less(sK1(X1),sK0) | ~$less(X1,sK0)) )),
% 46.86/6.68 inference(cnf_transformation,[],[f18])).
% 46.86/6.68
% 46.86/6.68 cnf(c_49,negated_conjecture,
% 46.86/6.68 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 46.86/6.68 inference(cnf_transformation,[],[f14])).
% 46.86/6.68
% 46.86/6.68 cnf(c_56,negated_conjecture,
% 46.86/6.68 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 46.86/6.68 inference(cnf_transformation,[],[f7])).
% 46.86/6.68
% 46.86/6.68 cnf(c_58,negated_conjecture,
% 46.86/6.68 ($sum_int(X0_3,0) = X0_3),
% 46.86/6.68 inference(cnf_transformation,[],[f5])).
% 46.86/6.68
% 46.86/6.68 cnf(c_59,negated_conjecture,
% 46.86/6.68 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 46.86/6.68 inference(cnf_transformation,[],[f4])).
% 46.86/6.68
% 46.86/6.68 cnf(c_60,negated_conjecture,
% 46.86/6.68 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 46.86/6.68 inference(cnf_transformation,[],[f3])).
% 46.86/6.68
% 46.86/6.68 cnf(c_61,negated_conjecture,
% 46.86/6.68 (~$less_int(X0_3,sK0)|$less_int(sK1(X0_3),sK0)),
% 46.86/6.68 inference(cnf_transformation,[],[f20])).
% 46.86/6.68
% 46.86/6.68 cnf(c_62,negated_conjecture,
% 46.86/6.68 (~$less_int(X0_3,sK0)|$less_int(X0_3,sK1(X0_3))),
% 46.86/6.68 inference(cnf_transformation,[],[f19])).
% 46.86/6.68
% 46.86/6.68 cnf(c_697,plain,
% 46.86/6.68 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 46.86/6.68 inference(superposition,[status(thm)],[c_60,c_49])).
% 46.86/6.68
% 46.86/6.68 cnf(c_759,plain,
% 46.86/6.68 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = $sum_int(0,X1_3)),
% 46.86/6.68 inference(superposition,[status(thm)],[c_56,c_59])).
% 46.86/6.68
% 46.86/6.68 cnf(c_777,plain,
% 46.86/6.68 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = X1_3),
% 46.86/6.68 inference(ac_demodulation,[status(thm)],[c_759,c_58,c_59,c_60])).
% 46.86/6.68
% 46.86/6.68 cnf(c_1296,plain,
% 46.86/6.68 (~$less_int($sum_int($uminus_int(1),X0_3),X1_3)|~$less_int(X1_3,X0_3)),
% 46.86/6.68 inference(superposition,[status(thm)],[c_777,c_697])).
% 46.86/6.68
% 46.86/6.68 cnf(c_2255,plain,
% 46.86/6.68 (~$less_int($sum_int(-1,X0_3),X1_3)|~$less_int(X1_3,X0_3)),
% 46.86/6.68 inference(smt_theory_normalisation,[status(thm)],[c_1296])).
% 46.86/6.68
% 46.86/6.68 cnf(c_6663,plain,
% 46.86/6.68 (~$less_int(sK1($sum_int(-1,X0_3)),X0_3)|~$less_int($sum_int(-1,X0_3),sK0)),
% 46.86/6.68 inference(superposition,[status(thm)],[c_62,c_2255])).
% 46.86/6.68
% 46.86/6.68 cnf(c_117963,plain,
% 46.86/6.68 (~$less_int($sum_int(-1,sK0),sK0)),
% 46.86/6.68 inference(superposition,[status(thm)],[c_61,c_6663])).
% 46.86/6.68
% 46.86/6.68 cnf(c_119378,plain,
% 46.86/6.68 ($false),
% 46.86/6.68 inference(smt_theory_normalisation,[status(thm)],[c_117963])).
% 46.86/6.68
% 46.86/6.68
% 46.86/6.68 % SZS output end CNFRefutation for theBenchmark.p
% 46.86/6.68
% 46.86/6.68
%------------------------------------------------------------------------------