TSTP Solution File: ARI581_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI581_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Wed Aug 30 17:41:23 EDT 2023
% Result : Theorem 25.98s 4.17s
% Output : CNFRefutation 26.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI581_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.36 % Computer : n025.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Tue Aug 29 18:37:11 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.21/0.48 Running TFA theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.98/4.17 % SZS status Started for theBenchmark.p
% 25.98/4.17 % SZS status Theorem for theBenchmark.p
% 25.98/4.17
% 25.98/4.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 25.98/4.17
% 25.98/4.17 ------ iProver source info
% 25.98/4.17
% 25.98/4.17 git: date: 2023-05-31 18:12:56 +0000
% 25.98/4.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 25.98/4.17 git: non_committed_changes: false
% 25.98/4.17 git: last_make_outside_of_git: false
% 25.98/4.17
% 25.98/4.17 ------ Parsing...
% 25.98/4.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 25.98/4.17
% 25.98/4.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 25.98/4.17
% 25.98/4.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 25.98/4.17
% 25.98/4.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.98/4.17 ------ Proving...
% 25.98/4.17 ------ Problem Properties
% 25.98/4.17
% 25.98/4.17
% 25.98/4.17 clauses 18
% 25.98/4.17 conjectures 12
% 25.98/4.17 EPR 8
% 25.98/4.17 Horn 16
% 25.98/4.17 unary 12
% 25.98/4.17 binary 4
% 25.98/4.17 lits 26
% 25.98/4.17 lits eq 7
% 25.98/4.17 fd_pure 0
% 25.98/4.17 fd_pseudo 0
% 25.98/4.17 fd_cond 0
% 25.98/4.17 fd_pseudo_cond 1
% 25.98/4.17 AC symbols 1
% 25.98/4.17
% 25.98/4.17 ------ Input Options Time Limit: Unbounded
% 25.98/4.17
% 25.98/4.17
% 25.98/4.17 ------
% 25.98/4.17 Current options:
% 25.98/4.17 ------
% 25.98/4.17
% 25.98/4.17
% 25.98/4.17
% 25.98/4.17
% 25.98/4.17 ------ Proving...
% 25.98/4.17
% 25.98/4.17
% 25.98/4.17 % SZS status Theorem for theBenchmark.p
% 25.98/4.17
% 25.98/4.17 % SZS output start CNFRefutation for theBenchmark.p
% 25.98/4.17
% 25.98/4.17 tff(f1,conjecture,(
% 25.98/4.17 ! [X0 : $int] : ($less(5,X0) => ? [X1 : $int] : ($less(7,$sum(X0,X1)) & $less(X1,3)))),
% 25.98/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_2)).
% 25.98/4.17
% 25.98/4.17 tff(f2,negated_conjecture,(
% 25.98/4.17 ~! [X0 : $int] : ($less(5,X0) => ? [X1 : $int] : ($less(7,$sum(X0,X1)) & $less(X1,3)))),
% 25.98/4.17 inference(negated_conjecture,[],[f1])).
% 25.98/4.17
% 25.98/4.17 tff(f3,plain,(
% 25.98/4.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 25.98/4.17 introduced(theory_axiom_138,[])).
% 25.98/4.17
% 25.98/4.17 tff(f4,plain,(
% 25.98/4.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 25.98/4.17 introduced(theory_axiom_139,[])).
% 25.98/4.17
% 25.98/4.17 tff(f12,plain,(
% 25.98/4.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 25.98/4.17 introduced(theory_axiom_150,[])).
% 25.98/4.17
% 25.98/4.17 tff(f14,plain,(
% 25.98/4.17 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 25.98/4.17 introduced(theory_axiom_164,[])).
% 25.98/4.17
% 25.98/4.17 tff(f15,plain,(
% 25.98/4.17 ? [X0 : $int] : (! [X1 : $int] : (~$less(7,$sum(X0,X1)) | ~$less(X1,3)) & $less(5,X0))),
% 25.98/4.17 inference(ennf_transformation,[],[f2])).
% 25.98/4.17
% 25.98/4.17 tff(f16,plain,(
% 25.98/4.17 ? [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))),
% 25.98/4.17 introduced(choice_axiom,[])).
% 25.98/4.17
% 25.98/4.17 tff(f17,plain,(
% 25.98/4.17 ! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) & $less(5,sK0)),
% 25.98/4.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16])).
% 25.98/4.17
% 25.98/4.17 tff(f18,plain,(
% 25.98/4.17 $less(5,sK0)),
% 25.98/4.17 inference(cnf_transformation,[],[f17])).
% 25.98/4.17
% 25.98/4.17 tff(f19,plain,(
% 25.98/4.17 ( ! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) )),
% 25.98/4.17 inference(cnf_transformation,[],[f17])).
% 25.98/4.17
% 25.98/4.17 cnf(c_49,negated_conjecture,
% 25.98/4.17 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 25.98/4.17 inference(cnf_transformation,[],[f14])).
% 25.98/4.17
% 25.98/4.17 cnf(c_51,negated_conjecture,
% 25.98/4.17 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 25.98/4.17 inference(cnf_transformation,[],[f12])).
% 25.98/4.17
% 25.98/4.17 cnf(c_59,negated_conjecture,
% 25.98/4.17 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 25.98/4.17 inference(cnf_transformation,[],[f4])).
% 25.98/4.17
% 25.98/4.17 cnf(c_60,negated_conjecture,
% 25.98/4.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 25.98/4.17 inference(cnf_transformation,[],[f3])).
% 25.98/4.17
% 25.98/4.17 cnf(c_61,negated_conjecture,
% 25.98/4.17 (~$less_int(7,$sum_int(sK0,X0_3))|~$less_int(X0_3,3)),
% 25.98/4.17 inference(cnf_transformation,[],[f19])).
% 25.98/4.17
% 25.98/4.17 cnf(c_62,negated_conjecture,
% 25.98/4.17 ($less_int(5,sK0)),
% 25.98/4.17 inference(cnf_transformation,[],[f18])).
% 25.98/4.17
% 25.98/4.17 cnf(c_453,plain,
% 25.98/4.17 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 25.98/4.17 inference(superposition,[status(thm)],[c_59,c_60])).
% 25.98/4.17
% 25.98/4.17 cnf(c_624,plain,
% 25.98/4.17 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 25.98/4.17 inference(superposition,[status(thm)],[c_60,c_51])).
% 26.76/4.17
% 26.76/4.17 cnf(c_663,plain,
% 26.76/4.17 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 26.76/4.17 inference(superposition,[status(thm)],[c_60,c_49])).
% 26.76/4.17
% 26.76/4.17 cnf(c_723,plain,
% 26.76/4.17 (~$less_int(7,$sum_int(X0_3,$sum_int(sK0,X1_3)))|~$less_int($sum_int(X0_3,X1_3),3)),
% 26.76/4.17 inference(superposition,[status(thm)],[c_453,c_61])).
% 26.76/4.17
% 26.76/4.17 cnf(c_760,plain,
% 26.76/4.17 ($less_int(X0_3,$sum_int(X1_3,$sum_int(X2_3,1)))|$less_int($sum_int(X1_3,X2_3),X0_3)),
% 26.76/4.17 inference(superposition,[status(thm)],[c_59,c_51])).
% 26.76/4.17
% 26.76/4.17 cnf(c_1851,plain,
% 26.76/4.17 (~$less_int($sum_int(X0_3,1),X1_3)|$less_int($sum_int(1,X0_3),X1_3)),
% 26.76/4.17 inference(superposition,[status(thm)],[c_760,c_663])).
% 26.76/4.17
% 26.76/4.17 cnf(c_2411,plain,
% 26.76/4.17 (~$less_int($sum_int(1,X0_3),3)|$less_int($sum_int(sK0,X0_3),7)),
% 26.76/4.17 inference(superposition,[status(thm)],[c_624,c_723])).
% 26.76/4.17
% 26.76/4.17 cnf(c_2652,plain,
% 26.76/4.17 (~$less_int(X0_3,2)|$less_int($sum_int(sK0,X0_3),7)),
% 26.76/4.17 inference(smt_theory_normalisation,[status(thm)],[c_2411])).
% 26.76/4.17
% 26.76/4.17 cnf(c_7775,plain,
% 26.76/4.17 (~$less_int(1,2)|$less_int($sum_int(1,sK0),7)),
% 26.76/4.17 inference(superposition,[status(thm)],[c_2652,c_1851])).
% 26.76/4.17
% 26.76/4.17 cnf(c_8518,plain,
% 26.76/4.17 ($less_int(sK0,6)),
% 26.76/4.17 inference(smt_theory_normalisation,[status(thm)],[c_7775])).
% 26.76/4.17
% 26.76/4.17 cnf(c_55264,plain,
% 26.76/4.17 ($false),
% 26.76/4.17 inference(smt_impl_just,[status(thm)],[c_8518,c_62])).
% 26.76/4.17
% 26.76/4.17
% 26.76/4.17 % SZS output end CNFRefutation for theBenchmark.p
% 26.76/4.17
% 26.76/4.17
%------------------------------------------------------------------------------