TSTP Solution File: ARI580_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI580_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 3.95s 1.18s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI580_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 01:08:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 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
% 3.95/1.18 % SZS status Started for theBenchmark.p
% 3.95/1.18 % SZS status Theorem for theBenchmark.p
% 3.95/1.18
% 3.95/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/1.18
% 3.95/1.18 ------ iProver source info
% 3.95/1.18
% 3.95/1.18 git: date: 2024-05-02 19:28:25 +0000
% 3.95/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.95/1.18 git: non_committed_changes: false
% 3.95/1.18
% 3.95/1.18 ------ Parsing...
% 3.95/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.95/1.18
% 3.95/1.18 ------ 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
% 3.95/1.18
% 3.95/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.95/1.18
% 3.95/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.95/1.18 ------ Proving...
% 3.95/1.18 ------ Problem Properties
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18 clauses 14
% 3.95/1.18 conjectures 1
% 3.95/1.18 EPR 5
% 3.95/1.18 Horn 12
% 3.95/1.18 unary 9
% 3.95/1.18 binary 3
% 3.95/1.18 lits 21
% 3.95/1.18 lits eq 7
% 3.95/1.18 fd_pure 0
% 3.95/1.18 fd_pseudo 0
% 3.95/1.18 fd_cond 0
% 3.95/1.18 fd_pseudo_cond 1
% 3.95/1.18 AC symbols 1
% 3.95/1.18
% 3.95/1.18 ------ Input Options Time Limit: Unbounded
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18 ------
% 3.95/1.18 Current options:
% 3.95/1.18 ------
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18 ------ Proving...
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18 % SZS status Theorem for theBenchmark.p
% 3.95/1.18
% 3.95/1.18 % SZS output start CNFRefutation for theBenchmark.p
% 3.95/1.18
% 3.95/1.18 tff(f1,conjecture,(
% 3.95/1.18 ! [X0 : $int] : ? [X1 : $int] : ($less(X1,$sum(X0,3)) & $less(X0,X1))),
% 3.95/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_1)).
% 3.95/1.18
% 3.95/1.18 tff(f2,negated_conjecture,(
% 3.95/1.18 ~! [X0 : $int] : ? [X1 : $int] : ($less(X1,$sum(X0,3)) & $less(X0,X1))),
% 3.95/1.18 inference(negated_conjecture,[],[f1])).
% 3.95/1.18
% 3.95/1.18 tff(f3,plain,(
% 3.95/1.18 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.95/1.18 introduced(theory_axiom_138,[])).
% 3.95/1.18
% 3.95/1.18 tff(f4,plain,(
% 3.95/1.18 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.95/1.18 introduced(theory_axiom_139,[])).
% 3.95/1.18
% 3.95/1.18 tff(f8,plain,(
% 3.95/1.18 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.95/1.18 introduced(theory_axiom_145,[])).
% 3.95/1.18
% 3.95/1.18 tff(f9,plain,(
% 3.95/1.18 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.95/1.18 introduced(theory_axiom_146,[])).
% 3.95/1.18
% 3.95/1.18 tff(f10,plain,(
% 3.95/1.18 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.95/1.18 introduced(theory_axiom_147,[])).
% 3.95/1.18
% 3.95/1.18 tff(f12,plain,(
% 3.95/1.18 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.95/1.18 introduced(theory_axiom_150,[])).
% 3.95/1.18
% 3.95/1.18 tff(f15,plain,(
% 3.95/1.18 ? [X0 : $int] : ! [X1 : $int] : (~$less(X1,$sum(X0,3)) | ~$less(X0,X1))),
% 3.95/1.18 inference(ennf_transformation,[],[f2])).
% 3.95/1.18
% 3.95/1.18 tff(f16,plain,(
% 3.95/1.18 ? [X0 : $int] : ! [X1 : $int] : (~$less(X1,$sum(X0,3)) | ~$less(X0,X1)) => ! [X1 : $int] : (~$less(X1,$sum(sK0,3)) | ~$less(sK0,X1))),
% 3.95/1.18 introduced(choice_axiom,[])).
% 3.95/1.18
% 3.95/1.18 tff(f17,plain,(
% 3.95/1.18 ! [X1 : $int] : (~$less(X1,$sum(sK0,3)) | ~$less(sK0,X1))),
% 3.95/1.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16])).
% 3.95/1.18
% 3.95/1.18 tff(f18,plain,(
% 3.95/1.18 ( ! [X1 : $int] : (~$less(X1,$sum(sK0,3)) | ~$less(sK0,X1)) )),
% 3.95/1.18 inference(cnf_transformation,[],[f17])).
% 3.95/1.18
% 3.95/1.18 cnf(c_51,plain,
% 3.95/1.18 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.95/1.18 inference(cnf_transformation,[],[f12])).
% 3.95/1.18
% 3.95/1.18 cnf(c_53,plain,
% 3.95/1.18 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.95/1.18 inference(cnf_transformation,[],[f10])).
% 3.95/1.18
% 3.95/1.18 cnf(c_54,plain,
% 3.95/1.18 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.95/1.18 inference(cnf_transformation,[],[f9])).
% 3.95/1.18
% 3.95/1.18 cnf(c_55,plain,
% 3.95/1.18 (~$less_int(X0_3,X0_3)),
% 3.95/1.18 inference(cnf_transformation,[],[f8])).
% 3.95/1.18
% 3.95/1.18 cnf(c_59,plain,
% 3.95/1.18 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.95/1.18 inference(cnf_transformation,[],[f4])).
% 3.95/1.18
% 3.95/1.18 cnf(c_60,plain,
% 3.95/1.18 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.95/1.18 inference(cnf_transformation,[],[f3])).
% 3.95/1.18
% 3.95/1.18 cnf(c_61,negated_conjecture,
% 3.95/1.18 (~$less_int(X0_3,$sum_int(sK0,3))|~$less_int(sK0,X0_3)),
% 3.95/1.18 inference(cnf_transformation,[],[f18])).
% 3.95/1.18
% 3.95/1.18 cnf(c_527,plain,
% 3.95/1.18 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.95/1.18 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.95/1.18
% 3.95/1.18 cnf(c_534,plain,
% 3.95/1.18 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.95/1.18 inference(superposition,[status(thm)],[c_60,c_527])).
% 3.95/1.18
% 3.95/1.18 cnf(c_561,plain,
% 3.95/1.18 (~$less_int(sK0,X0_3)|$sum_int(sK0,3) = X0_3|$less_int($sum_int(sK0,3),X0_3)),
% 3.95/1.18 inference(superposition,[status(thm)],[c_53,c_61])).
% 3.95/1.18
% 3.95/1.18 cnf(c_582,plain,
% 3.95/1.18 (~$less_int($sum_int(X0_3,1),X1_3)|$less_int(X0_3,X1_3)),
% 3.95/1.18 inference(superposition,[status(thm)],[c_527,c_54])).
% 3.95/1.18
% 3.95/1.18 cnf(c_631,plain,
% 3.95/1.18 (~$less_int(X0_3,X1_3)|~$less_int(sK0,X0_3)|$sum_int(sK0,3) = X0_3|
% 3.95/1.18 $less_int($sum_int(sK0,3),X1_3)),
% 3.95/1.18 inference(superposition,[status(thm)],[c_561,c_54])).
% 3.95/1.18
% 3.95/1.18 cnf(c_2189,plain,
% 3.95/1.18 ($less_int(X0_3,$sum_int(1,$sum_int(X0_3,1)))),
% 3.95/1.18 inference(superposition,[status(thm)],[c_534,c_582])).
% 3.95/1.18
% 3.95/1.18 cnf(c_4930,plain,
% 3.95/1.18 (~$less_int(sK0,X0_3)|$sum_int(sK0,3) = X0_3|$less_int($sum_int(sK0,3),$sum_int(1,$sum_int(X0_3,1)))),
% 3.95/1.18 inference(superposition,[status(thm)],[c_2189,c_631])).
% 3.95/1.18
% 3.95/1.18 cnf(c_8867,plain,
% 3.95/1.18 (~$less_int(sK0,X0_3)|$sum_int(sK0,3) = X0_3|$less_int($sum_int(1,sK0),X0_3)),
% 3.95/1.18 inference(smt_theory_normalisation,[status(thm)],[c_4930])).
% 3.95/1.18
% 3.95/1.18 cnf(c_8869,plain,
% 3.95/1.18 (~$less_int(sK0,X0_3)|$sum_int(sK0,3) = X0_3|$less_int($sum_int(sK0,1),X0_3)),
% 3.95/1.18 inference(theory_normalisation,[status(thm)],[c_8867,c_59,c_60])).
% 3.95/1.18
% 3.95/1.18 cnf(c_8880,plain,
% 3.95/1.18 (~$less_int(sK0,$sum_int(sK0,1))|$sum_int(sK0,1) = $sum_int(sK0,3)),
% 3.95/1.18 inference(superposition,[status(thm)],[c_8869,c_55])).
% 3.95/1.18
% 3.95/1.18 cnf(c_8890,plain,
% 3.95/1.18 ($sum_int(sK0,1) = $sum_int(sK0,3)),
% 3.95/1.18 inference(forward_subsumption_resolution,[status(thm)],[c_8880,c_527])).
% 3.95/1.18
% 3.95/1.18 cnf(c_9104,plain,
% 3.95/1.18 ($false),
% 3.95/1.18 inference(smt_theory_normalisation,[status(thm)],[c_8890])).
% 3.95/1.18
% 3.95/1.18
% 3.95/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 3.95/1.18
% 3.95/1.18
%------------------------------------------------------------------------------