TSTP Solution File: NUM895_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM895_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 02:51:02 EDT 2024

% Result   : Theorem 0.41s 1.11s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM895_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n027.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 20:04:20 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.17/0.42  Running TFA theorem proving
% 0.17/0.42  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
% 0.41/1.11  % SZS status Started for theBenchmark.p
% 0.41/1.11  % SZS status Theorem for theBenchmark.p
% 0.41/1.11  
% 0.41/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.41/1.11  
% 0.41/1.11  ------  iProver source info
% 0.41/1.11  
% 0.41/1.11  git: date: 2024-05-02 19:28:25 +0000
% 0.41/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.41/1.11  git: non_committed_changes: false
% 0.41/1.11  
% 0.41/1.11  ------ Parsing...
% 0.41/1.11  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.41/1.11  
% 0.41/1.11  ------ 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 
% 0.41/1.11  
% 0.41/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.41/1.11  
% 0.41/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.41/1.11  ------ Proving...
% 0.41/1.11  ------ Problem Properties 
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  clauses                                 14
% 0.41/1.11  conjectures                             2
% 0.41/1.11  EPR                                     4
% 0.41/1.11  Horn                                    12
% 0.41/1.11  unary                                   10
% 0.41/1.11  binary                                  2
% 0.41/1.11  lits                                    20
% 0.41/1.11  lits eq                                 9
% 0.41/1.11  fd_pure                                 0
% 0.41/1.11  fd_pseudo                               0
% 0.41/1.11  fd_cond                                 0
% 0.41/1.11  fd_pseudo_cond                          1
% 0.41/1.11  AC symbols                              1
% 0.41/1.11  
% 0.41/1.11  ------ Input Options Time Limit: Unbounded
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  ------ 
% 0.41/1.11  Current options:
% 0.41/1.11  ------ 
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  ------ Proving...
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  % SZS status Theorem for theBenchmark.p
% 0.41/1.11  
% 0.41/1.11  % SZS output start CNFRefutation for theBenchmark.p
% 0.41/1.11  
% 0.41/1.11  tff(f1,conjecture,(
% 0.41/1.11    ! [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 => $difference(X2,X0) = X1)),
% 0.41/1.11    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_difference)).
% 0.41/1.11  
% 0.41/1.11  tff(f2,negated_conjecture,(
% 0.41/1.11    ~! [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 => $difference(X2,X0) = X1)),
% 0.41/1.11    inference(negated_conjecture,[],[f1])).
% 0.41/1.11  
% 0.41/1.11  tff(f3,plain,(
% 0.41/1.11    ~! [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 => $sum(X2,$uminus(X0)) = X1)),
% 0.41/1.11    inference(theory_normalization,[],[f2])).
% 0.41/1.11  
% 0.41/1.11  tff(f4,plain,(
% 0.41/1.11    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.41/1.11    introduced(theory_axiom_138,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f5,plain,(
% 0.41/1.11    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.41/1.11    introduced(theory_axiom_139,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f6,plain,(
% 0.41/1.11    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.41/1.11    introduced(theory_axiom_140,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f7,plain,(
% 0.41/1.11    ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 0.41/1.11    introduced(theory_axiom_142,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f8,plain,(
% 0.41/1.11    ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.41/1.11    introduced(theory_axiom_143,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f14,plain,(
% 0.41/1.11    ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.41/1.11    introduced(theory_axiom_151,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f16,plain,(
% 0.41/1.11    ? [X0 : $int,X1 : $int,X2 : $int] : ($sum(X2,$uminus(X0)) != X1 & $sum(X0,X1) = X2)),
% 0.41/1.11    inference(ennf_transformation,[],[f3])).
% 0.41/1.11  
% 0.41/1.11  tff(f17,plain,(
% 0.41/1.11    ? [X0 : $int,X1 : $int,X2 : $int] : ($sum(X2,$uminus(X0)) != X1 & $sum(X0,X1) = X2) => (sK1 != $sum(sK2,$uminus(sK0)) & sK2 = $sum(sK0,sK1))),
% 0.41/1.11    introduced(choice_axiom,[])).
% 0.41/1.11  
% 0.41/1.11  tff(f18,plain,(
% 0.41/1.11    sK1 != $sum(sK2,$uminus(sK0)) & sK2 = $sum(sK0,sK1)),
% 0.41/1.11    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17])).
% 0.41/1.11  
% 0.41/1.11  tff(f19,plain,(
% 0.41/1.11    sK2 = $sum(sK0,sK1)),
% 0.41/1.11    inference(cnf_transformation,[],[f18])).
% 0.41/1.11  
% 0.41/1.11  tff(f20,plain,(
% 0.41/1.11    sK1 != $sum(sK2,$uminus(sK0))),
% 0.41/1.11    inference(cnf_transformation,[],[f18])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_50,plain,
% 0.41/1.11      ($uminus_int($uminus_int(X0_3)) = X0_3),
% 0.41/1.11      inference(cnf_transformation,[],[f14])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_56,plain,
% 0.41/1.11      ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 0.41/1.11      inference(cnf_transformation,[],[f8])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_57,plain,
% 0.41/1.11      ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 0.41/1.11      inference(cnf_transformation,[],[f7])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_58,plain,
% 0.41/1.11      ($sum_int(X0_3,0) = X0_3),
% 0.41/1.11      inference(cnf_transformation,[],[f6])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_59,plain,
% 0.41/1.11      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.41/1.11      inference(cnf_transformation,[],[f5])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_60,plain,
% 0.41/1.11      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.41/1.11      inference(cnf_transformation,[],[f4])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_61,negated_conjecture,
% 0.41/1.11      ($sum_int(sK2,$uminus_int(sK0)) != sK1),
% 0.41/1.11      inference(cnf_transformation,[],[f20])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_62,negated_conjecture,
% 0.41/1.11      ($sum_int(sK0,sK1) = sK2),
% 0.41/1.11      inference(cnf_transformation,[],[f19])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_479,plain,
% 0.41/1.11      ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 0.41/1.11      inference(superposition,[status(thm)],[c_59,c_60])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_491,plain,
% 0.41/1.11      ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 0.41/1.11      inference(superposition,[status(thm)],[c_56,c_479])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_696,plain,
% 0.41/1.11      ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 0.41/1.11      inference(demodulation,[status(thm)],[c_491,c_58])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_732,plain,
% 0.41/1.11      ($uminus_int($sum_int(X0_3,$uminus_int(X1_3))) = $sum_int(X1_3,$uminus_int(X0_3))),
% 0.41/1.11      inference(superposition,[status(thm)],[c_50,c_57])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_741,plain,
% 0.41/1.11      ($sum_int(X0_3,$uminus_int($sum_int(X0_3,X1_3))) = $uminus_int(X1_3)),
% 0.41/1.11      inference(superposition,[status(thm)],[c_57,c_696])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_3888,plain,
% 0.41/1.11      ($sum_int(sK0,$uminus_int(sK2)) = $uminus_int(sK1)),
% 0.41/1.11      inference(superposition,[status(thm)],[c_62,c_741])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_4188,plain,
% 0.41/1.11      ($sum_int(sK2,$uminus_int(sK0)) = $uminus_int($uminus_int(sK1))),
% 0.41/1.11      inference(superposition,[status(thm)],[c_3888,c_732])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_4192,plain,
% 0.41/1.11      ($uminus_int($uminus_int(sK1)) != sK1),
% 0.41/1.11      inference(demodulation,[status(thm)],[c_61,c_4188])).
% 0.41/1.11  
% 0.41/1.11  cnf(c_4193,plain,
% 0.41/1.11      ($false),
% 0.41/1.11      inference(forward_subsumption_resolution,[status(thm)],[c_4192,c_50])).
% 0.41/1.11  
% 0.41/1.11  
% 0.41/1.11  % SZS output end CNFRefutation for theBenchmark.p
% 0.41/1.11  
% 0.41/1.11  
%------------------------------------------------------------------------------