TSTP Solution File: NUM865_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM865_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:50:59 EDT 2024

% Result   : Theorem 2.02s 1.08s
% Output   : CNFRefutation 2.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : NUM865_1 : TPTP v8.1.2. Released v5.0.0.
% 0.02/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 19:57:37 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running TFA theorem proving
% 0.16/0.41  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
% 2.02/1.08  % SZS status Started for theBenchmark.p
% 2.02/1.08  % SZS status Theorem for theBenchmark.p
% 2.02/1.08  
% 2.02/1.08  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.02/1.08  
% 2.02/1.08  ------  iProver source info
% 2.02/1.08  
% 2.02/1.08  git: date: 2024-05-02 19:28:25 +0000
% 2.02/1.08  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.02/1.08  git: non_committed_changes: false
% 2.02/1.08  
% 2.02/1.08  ------ Parsing...
% 2.02/1.08  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.02/1.08  
% 2.02/1.08  ------ 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 
% 2.02/1.08  
% 2.02/1.08  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.02/1.08  
% 2.02/1.08  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.02/1.08  ------ Proving...
% 2.02/1.08  ------ Problem Properties 
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  clauses                                 17
% 2.02/1.08  conjectures                             5
% 2.02/1.08  EPR                                     5
% 2.02/1.08  Horn                                    15
% 2.02/1.08  unary                                   13
% 2.02/1.08  binary                                  2
% 2.02/1.08  lits                                    23
% 2.02/1.08  lits eq                                 12
% 2.02/1.08  fd_pure                                 0
% 2.02/1.08  fd_pseudo                               0
% 2.02/1.08  fd_cond                                 0
% 2.02/1.08  fd_pseudo_cond                          1
% 2.02/1.08  AC symbols                              1
% 2.02/1.08  
% 2.02/1.08  ------ Input Options Time Limit: Unbounded
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  ------ 
% 2.02/1.08  Current options:
% 2.02/1.08  ------ 
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  ------ Proving...
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  % SZS status Theorem for theBenchmark.p
% 2.02/1.08  
% 2.02/1.08  % SZS output start CNFRefutation for theBenchmark.p
% 2.02/1.08  
% 2.02/1.08  tff(f1,conjecture,(
% 2.02/1.08    ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (($sum(X0,X5) = X6 & $sum(X1,X2) = X5 & $sum(X3,X2) = X4 & $sum(X0,X1) = X3) => X4 = X6)),
% 2.02/1.08    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum_forall)).
% 2.02/1.08  
% 2.02/1.08  tff(f2,negated_conjecture,(
% 2.02/1.08    ~! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (($sum(X0,X5) = X6 & $sum(X1,X2) = X5 & $sum(X3,X2) = X4 & $sum(X0,X1) = X3) => X4 = X6)),
% 2.02/1.08    inference(negated_conjecture,[],[f1])).
% 2.02/1.08  
% 2.02/1.08  tff(f3,plain,(
% 2.02/1.08    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.02/1.08    introduced(theory_axiom_138,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f4,plain,(
% 2.02/1.08    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.02/1.08    introduced(theory_axiom_139,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f5,plain,(
% 2.02/1.08    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 2.02/1.08    introduced(theory_axiom_140,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f6,plain,(
% 2.02/1.08    ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 2.02/1.08    introduced(theory_axiom_142,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f7,plain,(
% 2.02/1.08    ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 2.02/1.08    introduced(theory_axiom_143,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f13,plain,(
% 2.02/1.08    ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 2.02/1.08    introduced(theory_axiom_151,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f15,plain,(
% 2.02/1.08    ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & ($sum(X0,X5) = X6 & $sum(X1,X2) = X5 & $sum(X3,X2) = X4 & $sum(X0,X1) = X3))),
% 2.02/1.08    inference(ennf_transformation,[],[f2])).
% 2.02/1.08  
% 2.02/1.08  tff(f16,plain,(
% 2.02/1.08    ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & $sum(X0,X5) = X6 & $sum(X1,X2) = X5 & $sum(X3,X2) = X4 & $sum(X0,X1) = X3)),
% 2.02/1.08    inference(flattening,[],[f15])).
% 2.02/1.08  
% 2.02/1.08  tff(f17,plain,(
% 2.02/1.08    ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & $sum(X0,X5) = X6 & $sum(X1,X2) = X5 & $sum(X3,X2) = X4 & $sum(X0,X1) = X3) => (sK4 != sK6 & sK6 = $sum(sK0,sK5) & sK5 = $sum(sK1,sK2) & sK4 = $sum(sK3,sK2) & sK3 = $sum(sK0,sK1))),
% 2.02/1.08    introduced(choice_axiom,[])).
% 2.02/1.08  
% 2.02/1.08  tff(f18,plain,(
% 2.02/1.08    sK4 != sK6 & sK6 = $sum(sK0,sK5) & sK5 = $sum(sK1,sK2) & sK4 = $sum(sK3,sK2) & sK3 = $sum(sK0,sK1)),
% 2.02/1.08    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f16,f17])).
% 2.02/1.08  
% 2.02/1.08  tff(f19,plain,(
% 2.02/1.08    sK3 = $sum(sK0,sK1)),
% 2.02/1.08    inference(cnf_transformation,[],[f18])).
% 2.02/1.08  
% 2.02/1.08  tff(f20,plain,(
% 2.02/1.08    sK4 = $sum(sK3,sK2)),
% 2.02/1.08    inference(cnf_transformation,[],[f18])).
% 2.02/1.08  
% 2.02/1.08  tff(f21,plain,(
% 2.02/1.08    sK5 = $sum(sK1,sK2)),
% 2.02/1.08    inference(cnf_transformation,[],[f18])).
% 2.02/1.08  
% 2.02/1.08  tff(f22,plain,(
% 2.02/1.08    sK6 = $sum(sK0,sK5)),
% 2.02/1.08    inference(cnf_transformation,[],[f18])).
% 2.02/1.08  
% 2.02/1.08  tff(f23,plain,(
% 2.02/1.08    sK4 != sK6),
% 2.02/1.08    inference(cnf_transformation,[],[f18])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_50,plain,
% 2.02/1.08      ($uminus_int($uminus_int(X0_3)) = X0_3),
% 2.02/1.08      inference(cnf_transformation,[],[f13])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_56,plain,
% 2.02/1.08      ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 2.02/1.08      inference(cnf_transformation,[],[f7])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_57,plain,
% 2.02/1.08      ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 2.02/1.08      inference(cnf_transformation,[],[f6])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_58,plain,
% 2.02/1.08      ($sum_int(X0_3,0) = X0_3),
% 2.02/1.08      inference(cnf_transformation,[],[f5])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_59,plain,
% 2.02/1.08      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.02/1.08      inference(cnf_transformation,[],[f4])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_60,plain,
% 2.02/1.08      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.02/1.08      inference(cnf_transformation,[],[f3])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_61,negated_conjecture,
% 2.02/1.08      (sK4 != sK6),
% 2.02/1.08      inference(cnf_transformation,[],[f23])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_62,negated_conjecture,
% 2.02/1.08      ($sum_int(sK0,sK5) = sK6),
% 2.02/1.08      inference(cnf_transformation,[],[f22])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_63,negated_conjecture,
% 2.02/1.08      ($sum_int(sK1,sK2) = sK5),
% 2.02/1.08      inference(cnf_transformation,[],[f21])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_64,negated_conjecture,
% 2.02/1.08      ($sum_int(sK3,sK2) = sK4),
% 2.02/1.08      inference(cnf_transformation,[],[f20])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_65,negated_conjecture,
% 2.02/1.08      ($sum_int(sK0,sK1) = sK3),
% 2.02/1.08      inference(cnf_transformation,[],[f19])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_76,negated_conjecture,
% 2.02/1.08      ($sum_int(sK2,sK3) = sK4),
% 2.02/1.08      inference(theory_normalisation,[status(thm)],[c_64,c_59,c_60])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_519,plain,
% 2.02/1.08      ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_59,c_60])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_538,plain,
% 2.02/1.08      ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_56,c_519])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_721,plain,
% 2.02/1.08      ($uminus_int($sum_int(X0_3,$uminus_int(X1_3))) = $sum_int(X1_3,$uminus_int(X0_3))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_50,c_57])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_878,plain,
% 2.02/1.08      ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 2.02/1.08      inference(demodulation,[status(thm)],[c_538,c_58])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_885,plain,
% 2.02/1.08      ($sum_int(X0_3,$uminus_int($sum_int(X0_3,X1_3))) = $uminus_int(X1_3)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_57,c_878])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_2965,plain,
% 2.02/1.08      ($sum_int(sK0,$uminus_int(sK6)) = $uminus_int(sK5)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_62,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_2966,plain,
% 2.02/1.08      ($sum_int(sK1,$uminus_int(sK5)) = $uminus_int(sK2)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_63,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_2967,plain,
% 2.02/1.08      ($sum_int(sK0,$uminus_int(sK3)) = $uminus_int(sK1)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_65,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_2968,plain,
% 2.02/1.08      ($sum_int(sK2,$uminus_int(sK4)) = $uminus_int(sK3)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_76,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3285,plain,
% 2.02/1.08      ($sum_int(sK0,$sum_int(X0_3,$uminus_int(sK6))) = $sum_int(X0_3,$uminus_int(sK5))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2965,c_519])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3295,plain,
% 2.02/1.08      ($sum_int(sK1,$sum_int(X0_3,$uminus_int(sK5))) = $sum_int(X0_3,$uminus_int(sK2))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2966,c_519])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3299,plain,
% 2.02/1.08      ($sum_int(sK5,$uminus_int(sK1)) = $uminus_int($uminus_int(sK2))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2966,c_721])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3300,plain,
% 2.02/1.08      ($sum_int(sK5,$uminus_int(sK2)) = sK1),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2966,c_878])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3338,plain,
% 2.02/1.08      ($sum_int(sK0,$sum_int(X0_3,$uminus_int(sK3))) = $sum_int(X0_3,$uminus_int(sK1))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2967,c_519])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3363,plain,
% 2.02/1.08      ($sum_int(sK2,$sum_int(X0_3,$uminus_int(sK4))) = $sum_int(X0_3,$uminus_int(sK3))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2968,c_519])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3367,plain,
% 2.02/1.08      ($sum_int(sK4,$uminus_int(sK2)) = $uminus_int($uminus_int(sK3))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2968,c_721])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3368,plain,
% 2.02/1.08      ($sum_int(sK4,$uminus_int(sK3)) = sK2),
% 2.02/1.08      inference(superposition,[status(thm)],[c_2968,c_878])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3855,plain,
% 2.02/1.08      ($sum_int(sK5,$product_int(-1,sK1)) = sK2),
% 2.02/1.08      inference(smt_theory_normalisation,[status(thm)],[c_3299])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3858,plain,
% 2.02/1.08      ($sum_int(sK5,$uminus_int(sK2)) = $uminus_int($product_int(-1,sK1))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_3855,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3860,plain,
% 2.02/1.08      ($uminus_int($product_int(-1,sK1)) = sK1),
% 2.02/1.08      inference(light_normalisation,[status(thm)],[c_3858,c_3300])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3912,plain,
% 2.02/1.08      ($sum_int(sK4,$product_int(-1,sK2)) = sK3),
% 2.02/1.08      inference(smt_theory_normalisation,[status(thm)],[c_3367])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3915,plain,
% 2.02/1.08      ($sum_int(sK4,$uminus_int(sK3)) = $uminus_int($product_int(-1,sK2))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_3912,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_3917,plain,
% 2.02/1.08      ($uminus_int($product_int(-1,sK2)) = sK2),
% 2.02/1.08      inference(light_normalisation,[status(thm)],[c_3915,c_3368])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4127,plain,
% 2.02/1.08      ($sum_int(sK0,$product_int(-1,sK6)) = $product_int(-1,sK5)),
% 2.02/1.08      inference(smt_theory_normalisation,[status(thm)],[c_3285])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4138,plain,
% 2.02/1.08      ($sum_int(sK1,$product_int(-1,sK5)) = $product_int(-1,sK2)),
% 2.02/1.08      inference(smt_theory_normalisation,[status(thm)],[c_3295])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4141,plain,
% 2.02/1.08      ($sum_int(sK1,$uminus_int($product_int(-1,sK2))) = $uminus_int($product_int(-1,sK5))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4138,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4142,plain,
% 2.02/1.08      ($sum_int(sK1,$sum_int($product_int(-1,sK5),X0_3)) = $sum_int($product_int(-1,sK2),X0_3)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4138,c_59])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4143,plain,
% 2.02/1.08      ($uminus_int($product_int(-1,sK5)) = sK5),
% 2.02/1.08      inference(light_normalisation,[status(thm)],[c_4141,c_63,c_3917])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4168,plain,
% 2.02/1.08      ($product_int(-1,sK5) = $uminus_int(sK5)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4143,c_50])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4183,plain,
% 2.02/1.08      ($sum_int(sK0,$product_int(-1,sK6)) = $uminus_int(sK5)),
% 2.02/1.08      inference(demodulation,[status(thm)],[c_4127,c_4168])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4326,plain,
% 2.02/1.08      ($sum_int(sK0,$product_int(-1,sK3)) = $product_int(-1,sK1)),
% 2.02/1.08      inference(smt_theory_normalisation,[status(thm)],[c_3338])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4329,plain,
% 2.02/1.08      ($sum_int(sK0,$uminus_int($product_int(-1,sK1))) = $uminus_int($product_int(-1,sK3))),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4326,c_885])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4330,plain,
% 2.02/1.08      ($sum_int(sK0,$sum_int($product_int(-1,sK3),X0_3)) = $sum_int($product_int(-1,sK1),X0_3)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4326,c_59])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4331,plain,
% 2.02/1.08      ($uminus_int($product_int(-1,sK3)) = sK3),
% 2.02/1.08      inference(light_normalisation,[status(thm)],[c_4329,c_65,c_3860])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4353,plain,
% 2.02/1.08      ($product_int(-1,sK3) = $uminus_int(sK3)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4331,c_50])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4439,plain,
% 2.02/1.08      ($sum_int(sK2,$product_int(-1,sK4)) = $product_int(-1,sK3)),
% 2.02/1.08      inference(smt_theory_normalisation,[status(thm)],[c_3363])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4440,plain,
% 2.02/1.08      ($sum_int(sK2,$product_int(-1,sK4)) = $uminus_int(sK3)),
% 2.02/1.08      inference(light_normalisation,[status(thm)],[c_4439,c_4353])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4444,plain,
% 2.02/1.08      ($sum_int(sK2,$sum_int($product_int(-1,sK4),X0_3)) = $sum_int($uminus_int(sK3),X0_3)),
% 2.02/1.08      inference(superposition,[status(thm)],[c_4440,c_59])).
% 2.02/1.08  
% 2.02/1.08  cnf(c_4561,plain,
% 2.02/1.08      ($false),
% 2.02/1.08      inference(smt_impl_just,[status(thm)],[c_4444,c_4330,c_4183,c_4142,c_61])).
% 2.02/1.08  
% 2.02/1.08  
% 2.02/1.08  % SZS output end CNFRefutation for theBenchmark.p
% 2.02/1.08  
% 2.02/1.08  
%------------------------------------------------------------------------------