TSTP Solution File: ARI735_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 17:41:54 EDT 2023
% Result : Theorem 0.46s 1.17s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 18:48:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17 git: last_make_outside_of_git: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...
% 0.46/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sup_sim: 2 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
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.17 ------ Proving...
% 0.46/1.17 ------ Problem Properties
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 clauses 15
% 0.46/1.17 conjectures 2
% 0.46/1.17 EPR 7
% 0.46/1.17 Horn 13
% 0.46/1.17 unary 11
% 0.46/1.17 binary 2
% 0.46/1.17 lits 21
% 0.46/1.17 lits eq 8
% 0.46/1.17 fd_pure 0
% 0.46/1.17 fd_pseudo 0
% 0.46/1.17 fd_cond 0
% 0.46/1.17 fd_pseudo_cond 1
% 0.46/1.17 AC symbols 1
% 0.46/1.17
% 0.46/1.17 ------ Input Options Time Limit: Unbounded
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------
% 0.46/1.17 Current options:
% 0.46/1.17 ------
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Proving...
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 tff(f1,conjecture,(
% 0.46/1.17 ! [X0 : $int] : ($greatereq(X0,0) => ((0 != X0 => ? [X1 : $int] : ($greatereq(X1,0) & $difference(X0,1) = X1)) & (0 = X0 => $true)))),
% 0.46/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula)).
% 0.46/1.17
% 0.46/1.17 tff(f2,negated_conjecture,(
% 0.46/1.17 ~! [X0 : $int] : ($greatereq(X0,0) => ((0 != X0 => ? [X1 : $int] : ($greatereq(X1,0) & $difference(X0,1) = X1)) & (0 = X0 => $true)))),
% 0.46/1.17 inference(negated_conjecture,[],[f1])).
% 0.46/1.17
% 0.46/1.17 tff(f3,plain,(
% 0.46/1.17 ~! [X0 : $int] : (~$less(X0,0) => ((0 != X0 => ? [X1 : $int] : (~$less(X1,0) & $sum(X0,$uminus(1)) = X1)) & (0 = X0 => $true)))),
% 0.46/1.17 inference(theory_normalization,[],[f2])).
% 0.46/1.17
% 0.46/1.17 tff(f4,plain,(
% 0.46/1.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.46/1.17 introduced(theory_axiom_138,[])).
% 0.46/1.17
% 0.46/1.17 tff(f6,plain,(
% 0.46/1.17 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.46/1.17 introduced(theory_axiom_140,[])).
% 0.46/1.17
% 0.46/1.17 tff(f11,plain,(
% 0.46/1.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.46/1.17 introduced(theory_axiom_147,[])).
% 0.46/1.17
% 0.46/1.17 tff(f15,plain,(
% 0.46/1.17 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 0.46/1.17 introduced(theory_axiom_164,[])).
% 0.46/1.17
% 0.46/1.17 tff(f16,plain,(
% 0.46/1.17 ~! [X0 : $int] : (~$less(X0,0) => (0 != X0 => ? [X1 : $int] : (~$less(X1,0) & $sum(X0,$uminus(1)) = X1)))),
% 0.46/1.17 inference(true_and_false_elimination,[],[f3])).
% 0.46/1.17
% 0.46/1.17 tff(f17,plain,(
% 0.46/1.17 ? [X0 : $int] : ((! [X1 : $int] : ($less(X1,0) | $sum(X0,$uminus(1)) != X1) & 0 != X0) & ~$less(X0,0))),
% 0.46/1.17 inference(ennf_transformation,[],[f16])).
% 0.46/1.17
% 0.46/1.17 tff(f18,plain,(
% 0.46/1.17 ? [X0 : $int] : (! [X1 : $int] : ($less(X1,0) | $sum(X0,$uminus(1)) != X1) & 0 != X0 & ~$less(X0,0))),
% 0.46/1.17 inference(flattening,[],[f17])).
% 0.46/1.17
% 0.46/1.17 tff(f19,plain,(
% 0.46/1.17 ? [X0 : $int] : (! [X1 : $int] : ($less(X1,0) | $sum(X0,$uminus(1)) != X1) & 0 != X0 & ~$less(X0,0)) => (! [X1 : $int] : ($less(X1,0) | $sum(sK0,$uminus(1)) != X1) & 0 != sK0 & ~$less(sK0,0))),
% 0.46/1.17 introduced(choice_axiom,[])).
% 0.46/1.17
% 0.46/1.17 tff(f20,plain,(
% 0.46/1.17 ! [X1 : $int] : ($less(X1,0) | $sum(sK0,$uminus(1)) != X1) & 0 != sK0 & ~$less(sK0,0)),
% 0.46/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19])).
% 0.46/1.17
% 0.46/1.17 tff(f21,plain,(
% 0.46/1.17 ~$less(sK0,0)),
% 0.46/1.17 inference(cnf_transformation,[],[f20])).
% 0.46/1.17
% 0.46/1.17 tff(f22,plain,(
% 0.46/1.17 0 != sK0),
% 0.46/1.17 inference(cnf_transformation,[],[f20])).
% 0.46/1.17
% 0.46/1.17 tff(f23,plain,(
% 0.46/1.17 ( ! [X1 : $int] : ($less(X1,0) | $sum(sK0,$uminus(1)) != X1) )),
% 0.46/1.17 inference(cnf_transformation,[],[f20])).
% 0.46/1.17
% 0.46/1.17 tff(f24,plain,(
% 0.46/1.17 $less($sum(sK0,$uminus(1)),0)),
% 0.46/1.17 inference(equality_resolution,[],[f23])).
% 0.46/1.17
% 0.46/1.17 cnf(c_49,plain,
% 0.46/1.17 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 0.46/1.17 inference(cnf_transformation,[],[f15])).
% 0.46/1.17
% 0.46/1.17 cnf(c_53,plain,
% 0.46/1.17 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 0.46/1.17 inference(cnf_transformation,[],[f11])).
% 0.46/1.17
% 0.46/1.17 cnf(c_58,plain,
% 0.46/1.17 ($sum_int(X0_3,0) = X0_3),
% 0.46/1.17 inference(cnf_transformation,[],[f6])).
% 0.46/1.17
% 0.46/1.17 cnf(c_60,plain,
% 0.46/1.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.46/1.17 inference(cnf_transformation,[],[f4])).
% 0.46/1.17
% 0.46/1.17 cnf(c_61,negated_conjecture,
% 0.46/1.17 ($less_int($sum_int(sK0,$uminus_int(1)),0)),
% 0.46/1.17 inference(cnf_transformation,[],[f24])).
% 0.46/1.17
% 0.46/1.17 cnf(c_62,negated_conjecture,
% 0.46/1.17 (sK0 != 0),
% 0.46/1.17 inference(cnf_transformation,[],[f22])).
% 0.46/1.17
% 0.46/1.17 cnf(c_63,negated_conjecture,
% 0.46/1.17 (~$less_int(sK0,0)),
% 0.46/1.17 inference(cnf_transformation,[],[f21])).
% 0.46/1.17
% 0.46/1.17 cnf(c_151,plain,
% 0.46/1.17 ($less_int(sK0,1)),
% 0.46/1.17 inference(smt_theory_normalisation,[status(thm)],[c_61])).
% 0.46/1.17
% 0.46/1.17 cnf(c_513,plain,
% 0.46/1.17 ($sum_int(0,X0_3) = X0_3),
% 0.46/1.17 inference(superposition,[status(thm)],[c_60,c_58])).
% 0.46/1.17
% 0.46/1.17 cnf(c_537,plain,
% 0.46/1.17 (sK0 = 0|$less_int(0,sK0)),
% 0.46/1.17 inference(superposition,[status(thm)],[c_53,c_63])).
% 0.46/1.17
% 0.46/1.17 cnf(c_540,plain,
% 0.46/1.17 ($less_int(0,sK0)),
% 0.46/1.17 inference(forward_subsumption_resolution,[status(thm)],[c_537,c_62])).
% 0.46/1.17
% 0.46/1.17 cnf(c_562,plain,
% 0.46/1.17 (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 0.46/1.17 inference(superposition,[status(thm)],[c_513,c_49])).
% 0.46/1.17
% 0.46/1.17 cnf(c_622,plain,
% 0.46/1.17 (~$less_int(0,sK0)),
% 0.46/1.17 inference(superposition,[status(thm)],[c_151,c_562])).
% 0.46/1.17
% 0.46/1.17 cnf(c_626,plain,
% 0.46/1.17 ($false),
% 0.46/1.17 inference(forward_subsumption_resolution,[status(thm)],[c_622,c_540])).
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 0.46/1.17
% 0.46/1.17
%------------------------------------------------------------------------------