TSTP Solution File: ARI590_1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI590_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 02:07:19 EDT 2024

% Result   : Theorem 2.29s 1.20s
% Output   : CNFRefutation 2.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ARI590_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n023.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 : Fri May  3 01:21:39 EDT 2024
% 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 --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.29/1.20  % SZS status Started for theBenchmark.p
% 2.29/1.20  % SZS status Theorem for theBenchmark.p
% 2.29/1.20  
% 2.29/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.29/1.20  
% 2.29/1.20  ------  iProver source info
% 2.29/1.20  
% 2.29/1.20  git: date: 2024-05-02 19:28:25 +0000
% 2.29/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.29/1.20  git: non_committed_changes: false
% 2.29/1.20  
% 2.29/1.20  ------ Parsing...
% 2.29/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.29/1.20  
% 2.29/1.20  ------ 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 
% 2.29/1.20  
% 2.29/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.29/1.20  
% 2.29/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.29/1.20  ------ Proving...
% 2.29/1.20  ------ Problem Properties 
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  clauses                                 13
% 2.29/1.20  conjectures                             1
% 2.29/1.20  EPR                                     5
% 2.29/1.20  Horn                                    11
% 2.29/1.20  unary                                   8
% 2.29/1.20  binary                                  3
% 2.29/1.20  lits                                    20
% 2.29/1.20  lits eq                                 8
% 2.29/1.20  fd_pure                                 0
% 2.29/1.20  fd_pseudo                               0
% 2.29/1.20  fd_cond                                 1
% 2.29/1.20  fd_pseudo_cond                          1
% 2.29/1.20  AC symbols                              1
% 2.29/1.20  
% 2.29/1.20  ------ Input Options Time Limit: Unbounded
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  ------ 
% 2.29/1.20  Current options:
% 2.29/1.20  ------ 
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  ------ Proving...
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  % SZS status Theorem for theBenchmark.p
% 2.29/1.20  
% 2.29/1.20  % SZS output start CNFRefutation for theBenchmark.p
% 2.29/1.20  
% 2.29/1.20  tff(f1,conjecture,(
% 2.29/1.20    ! [X0 : $int] : ? [X1 : $int] : (X0 != X1 & $less(0,X1))),
% 2.29/1.20    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_pos_X_noteq_Y)).
% 2.29/1.20  
% 2.29/1.20  tff(f2,negated_conjecture,(
% 2.29/1.20    ~! [X0 : $int] : ? [X1 : $int] : (X0 != X1 & $less(0,X1))),
% 2.29/1.20    inference(negated_conjecture,[],[f1])).
% 2.29/1.20  
% 2.29/1.20  tff(f3,plain,(
% 2.29/1.20    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.29/1.20    introduced(theory_axiom_138,[])).
% 2.29/1.20  
% 2.29/1.20  tff(f5,plain,(
% 2.29/1.20    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 2.29/1.20    introduced(theory_axiom_140,[])).
% 2.29/1.20  
% 2.29/1.20  tff(f9,plain,(
% 2.29/1.20    ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 2.29/1.20    introduced(theory_axiom_146,[])).
% 2.29/1.20  
% 2.29/1.20  tff(f12,plain,(
% 2.29/1.20    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 2.29/1.20    introduced(theory_axiom_150,[])).
% 2.29/1.20  
% 2.29/1.20  tff(f14,plain,(
% 2.29/1.20    ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 2.29/1.20    introduced(theory_axiom_164,[])).
% 2.29/1.20  
% 2.29/1.20  tff(f15,plain,(
% 2.29/1.20    ? [X0 : $int] : ! [X1 : $int] : (X0 = X1 | ~$less(0,X1))),
% 2.29/1.20    inference(ennf_transformation,[],[f2])).
% 2.29/1.20  
% 2.29/1.20  tff(f16,plain,(
% 2.29/1.20    ? [X0 : $int] : ! [X1 : $int] : (X0 = X1 | ~$less(0,X1)) => ! [X1 : $int] : (sK0 = X1 | ~$less(0,X1))),
% 2.29/1.20    introduced(choice_axiom,[])).
% 2.29/1.20  
% 2.29/1.20  tff(f17,plain,(
% 2.29/1.20    ! [X1 : $int] : (sK0 = X1 | ~$less(0,X1))),
% 2.29/1.20    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16])).
% 2.29/1.20  
% 2.29/1.20  tff(f18,plain,(
% 2.29/1.20    ( ! [X1 : $int] : (sK0 = X1 | ~$less(0,X1)) )),
% 2.29/1.20    inference(cnf_transformation,[],[f17])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_49,plain,
% 2.29/1.20      (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 2.29/1.20      inference(cnf_transformation,[],[f14])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_51,plain,
% 2.29/1.20      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 2.29/1.20      inference(cnf_transformation,[],[f12])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_54,plain,
% 2.29/1.20      (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 2.29/1.20      inference(cnf_transformation,[],[f9])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_58,plain,
% 2.29/1.20      ($sum_int(X0_3,0) = X0_3),
% 2.29/1.20      inference(cnf_transformation,[],[f5])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_60,plain,
% 2.29/1.20      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.29/1.20      inference(cnf_transformation,[],[f3])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_61,negated_conjecture,
% 2.29/1.20      (~$less_int(0,X0_3)|X0_3 = sK0),
% 2.29/1.20      inference(cnf_transformation,[],[f18])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_62,plain,($less_int(0,1)),theory(arith)).
% 2.29/1.20  
% 2.29/1.20  cnf(c_277,plain,(X0_3 = X0_3),theory(equality)).
% 2.29/1.20  
% 2.29/1.20  cnf(c_281,plain,
% 2.29/1.20      (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 2.29/1.20      theory(equality)).
% 2.29/1.20  
% 2.29/1.20  cnf(c_507,plain,
% 2.29/1.20      (sK0 = 1),
% 2.29/1.20      inference(superposition,[status(thm)],[c_62,c_61])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_508,plain,
% 2.29/1.20      (~$less_int(0,X0_3)|X0_3 = 1),
% 2.29/1.20      inference(demodulation,[status(thm)],[c_61,c_507])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_527,plain,
% 2.29/1.20      ($sum_int(X0_3,1) = 1|$less_int(X0_3,0)),
% 2.29/1.20      inference(superposition,[status(thm)],[c_51,c_508])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_537,plain,
% 2.29/1.20      ($sum_int(0,X0_3) = X0_3),
% 2.29/1.20      inference(superposition,[status(thm)],[c_60,c_58])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_591,plain,
% 2.29/1.20      (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 2.29/1.20      inference(superposition,[status(thm)],[c_537,c_49])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_604,plain,
% 2.29/1.20      (X0_3 = 0|$less_int(X0_3,0)),
% 2.29/1.20      inference(smt_theory_normalisation,[status(thm)],[c_527])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_745,plain,
% 2.29/1.20      (~$less_int(X0_3,0)|~$less_int(0,1)|$less_int(X0_3,1)),
% 2.29/1.20      inference(instantiation,[status(thm)],[c_54])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_748,plain,
% 2.29/1.20      (X0_3 != 0|X1_3 != 1|~$less_int(0,1)|$less_int(X0_3,X1_3)),
% 2.29/1.20      inference(instantiation,[status(thm)],[c_281])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_798,plain,
% 2.29/1.20      (X0_3 != 0|1 != 1|~$less_int(0,1)|$less_int(X0_3,1)),
% 2.29/1.20      inference(instantiation,[status(thm)],[c_748])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_799,plain,(1 = 1),inference(instantiation,[status(thm)],[c_277])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_830,negated_conjecture,
% 2.29/1.20      (~$less_int(0,X0_3)),
% 2.29/1.20      inference(global_subsumption_just,
% 2.29/1.20                [status(thm)],
% 2.29/1.20                [c_61,c_62,c_591,c_604,c_745,c_798,c_799])).
% 2.29/1.20  
% 2.29/1.20  cnf(c_877,plain,
% 2.29/1.20      ($false),
% 2.29/1.20      inference(forward_subsumption_resolution,[status(thm)],[c_62,c_830])).
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  % SZS output end CNFRefutation for theBenchmark.p
% 2.29/1.20  
% 2.29/1.20  
%------------------------------------------------------------------------------