TSTP Solution File: NUM909_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM909_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 : Thu Aug 31 11:33:30 EDT 2023

% Result   : Theorem 2.04s 1.16s
% Output   : CNFRefutation 2.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM909_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 12:08:47 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  Running TFA theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.04/1.16  % SZS status Started for theBenchmark.p
% 2.04/1.16  % SZS status Theorem for theBenchmark.p
% 2.04/1.16  
% 2.04/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.04/1.16  
% 2.04/1.16  ------  iProver source info
% 2.04/1.16  
% 2.04/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.04/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.04/1.16  git: non_committed_changes: false
% 2.04/1.16  git: last_make_outside_of_git: false
% 2.04/1.16  
% 2.04/1.16  ------ Parsing...
% 2.04/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.04/1.16  
% 2.04/1.16  ------ 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 
% 2.04/1.16  
% 2.04/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.04/1.16  
% 2.04/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.04/1.16  ------ Proving...
% 2.04/1.16  ------ Problem Properties 
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  clauses                                 13
% 2.04/1.16  conjectures                             2
% 2.04/1.16  EPR                                     5
% 2.04/1.16  Horn                                    11
% 2.04/1.16  unary                                   10
% 2.04/1.16  binary                                  1
% 2.04/1.16  lits                                    18
% 2.04/1.16  lits eq                                 9
% 2.04/1.16  fd_pure                                 0
% 2.04/1.16  fd_pseudo                               0
% 2.04/1.16  fd_cond                                 0
% 2.04/1.16  fd_pseudo_cond                          1
% 2.04/1.16  AC symbols                              1
% 2.04/1.16  
% 2.04/1.16  ------ Input Options Time Limit: Unbounded
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  ------ 
% 2.04/1.16  Current options:
% 2.04/1.16  ------ 
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  ------ Proving...
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  % SZS status Theorem for theBenchmark.p
% 2.04/1.16  
% 2.04/1.16  % SZS output start CNFRefutation for theBenchmark.p
% 2.04/1.16  
% 2.04/1.16  tff(f1,conjecture,(
% 2.04/1.16    ! [X0 : $real,X1 : $real] : ($difference(X0,X1) = 0.0 => X0 = X1)),
% 2.04/1.16    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_13)).
% 2.04/1.16  
% 2.04/1.16  tff(f2,negated_conjecture,(
% 2.04/1.16    ~! [X0 : $real,X1 : $real] : ($difference(X0,X1) = 0.0 => X0 = X1)),
% 2.04/1.16    inference(negated_conjecture,[],[f1])).
% 2.04/1.16  
% 2.04/1.16  tff(f3,plain,(
% 2.04/1.16    ~! [X0 : $real,X1 : $real] : (0.0 = $sum(X0,$uminus(X1)) => X0 = X1)),
% 2.04/1.16    inference(theory_normalization,[],[f2])).
% 2.04/1.16  
% 2.04/1.16  tff(f4,plain,(
% 2.04/1.16    ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.04/1.16    introduced(theory_axiom_138,[])).
% 2.04/1.16  
% 2.04/1.16  tff(f5,plain,(
% 2.04/1.16    ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.04/1.16    introduced(theory_axiom_139,[])).
% 2.04/1.16  
% 2.04/1.16  tff(f6,plain,(
% 2.04/1.16    ( ! [X0 : $real] : ($sum(X0,0.0) = X0) )),
% 2.04/1.16    introduced(theory_axiom_140,[])).
% 2.04/1.16  
% 2.04/1.16  tff(f8,plain,(
% 2.04/1.16    ( ! [X0 : $real] : (0.0 = $sum(X0,$uminus(X0))) )),
% 2.04/1.16    introduced(theory_axiom_143,[])).
% 2.04/1.16  
% 2.04/1.16  tff(f15,plain,(
% 2.04/1.16    ? [X0 : $real,X1 : $real] : (X0 != X1 & 0.0 = $sum(X0,$uminus(X1)))),
% 2.04/1.16    inference(ennf_transformation,[],[f3])).
% 2.04/1.16  
% 2.04/1.16  tff(f16,plain,(
% 2.04/1.16    ? [X0 : $real,X1 : $real] : (X0 != X1 & 0.0 = $sum(X0,$uminus(X1))) => (sK0 != sK1 & 0.0 = $sum(sK0,$uminus(sK1)))),
% 2.04/1.16    introduced(choice_axiom,[])).
% 2.04/1.16  
% 2.04/1.16  tff(f17,plain,(
% 2.04/1.16    sK0 != sK1 & 0.0 = $sum(sK0,$uminus(sK1))),
% 2.04/1.16    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16])).
% 2.04/1.16  
% 2.04/1.16  tff(f18,plain,(
% 2.04/1.16    0.0 = $sum(sK0,$uminus(sK1))),
% 2.04/1.16    inference(cnf_transformation,[],[f17])).
% 2.04/1.16  
% 2.04/1.16  tff(f19,plain,(
% 2.04/1.16    sK0 != sK1),
% 2.04/1.16    inference(cnf_transformation,[],[f17])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_55,plain,
% 2.04/1.16      ($sum_real(X0_2,$uminus_real(X0_2)) = 0.0),
% 2.04/1.16      inference(cnf_transformation,[],[f8])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_57,plain,
% 2.04/1.16      ($sum_real(X0_2,0.0) = X0_2),
% 2.04/1.16      inference(cnf_transformation,[],[f6])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_58,plain,
% 2.04/1.16      ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 2.04/1.16      inference(cnf_transformation,[],[f5])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_59,plain,
% 2.04/1.16      ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 2.04/1.16      inference(cnf_transformation,[],[f4])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_60,negated_conjecture,
% 2.04/1.16      (sK0 != sK1),
% 2.04/1.16      inference(cnf_transformation,[],[f19])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_61,negated_conjecture,
% 2.04/1.16      ($sum_real(sK0,$uminus_real(sK1)) = 0.0),
% 2.04/1.16      inference(cnf_transformation,[],[f18])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_324,plain,
% 2.04/1.16      ($sum_real(X0_2,$sum_real(X1_2,X2_2)) = $sum_real(X1_2,$sum_real(X0_2,X2_2))),
% 2.04/1.16      inference(superposition,[status(thm)],[c_58,c_59])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_336,plain,
% 2.04/1.16      ($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X0_2))) = $sum_real(X1_2,0.0)),
% 2.04/1.16      inference(superposition,[status(thm)],[c_55,c_324])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_535,plain,
% 2.04/1.16      ($sum_real(X0_2,$sum_real(X1_2,$uminus_real(X0_2))) = X1_2),
% 2.04/1.16      inference(demodulation,[status(thm)],[c_336,c_57])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_543,plain,
% 2.04/1.16      ($sum_real(sK1,0.0) = sK0),
% 2.04/1.16      inference(superposition,[status(thm)],[c_61,c_535])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_554,plain,
% 2.04/1.16      ($sum_real(0.0,sK1) = sK0),
% 2.04/1.16      inference(theory_normalisation,[status(thm)],[c_543,c_58,c_59])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_631,plain,
% 2.04/1.16      (sK0 = sK1),
% 2.04/1.16      inference(smt_theory_normalisation,[status(thm)],[c_554])).
% 2.04/1.16  
% 2.04/1.16  cnf(c_632,plain,
% 2.04/1.16      ($false),
% 2.04/1.16      inference(prop_impl_just,[status(thm)],[c_631,c_60])).
% 2.04/1.16  
% 2.04/1.16  
% 2.04/1.16  % SZS output end CNFRefutation for theBenchmark.p
% 2.04/1.16  
% 2.04/1.16  
%------------------------------------------------------------------------------