TSTP Solution File: DAT027_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : DAT027_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 02:14:14 EDT 2024

% Result   : Theorem 4.16s 1.16s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : DAT027_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 18:48:28 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  Running TFA theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.16/1.16  % SZS status Started for theBenchmark.p
% 4.16/1.16  % SZS status Theorem for theBenchmark.p
% 4.16/1.16  
% 4.16/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.16/1.16  
% 4.16/1.16  ------  iProver source info
% 4.16/1.16  
% 4.16/1.16  git: date: 2024-05-02 19:28:25 +0000
% 4.16/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.16/1.16  git: non_committed_changes: false
% 4.16/1.16  
% 4.16/1.16  ------ Parsing...
% 4.16/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.16/1.16  
% 4.16/1.16  ------ 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 
% 4.16/1.16  
% 4.16/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.16/1.16  
% 4.16/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.16/1.16  ------ Proving...
% 4.16/1.16  ------ Problem Properties 
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  clauses                                 25
% 4.16/1.16  conjectures                             6
% 4.16/1.16  EPR                                     10
% 4.16/1.16  Horn                                    21
% 4.16/1.16  unary                                   16
% 4.16/1.16  binary                                  5
% 4.16/1.16  lits                                    38
% 4.16/1.16  lits eq                                 10
% 4.16/1.16  fd_pure                                 0
% 4.16/1.16  fd_pseudo                               0
% 4.16/1.16  fd_cond                                 0
% 4.16/1.16  fd_pseudo_cond                          3
% 4.16/1.16  AC symbols                              1
% 4.16/1.16  
% 4.16/1.16  ------ Input Options Time Limit: Unbounded
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  ------ 
% 4.16/1.16  Current options:
% 4.16/1.16  ------ 
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  ------ Proving...
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  % SZS status Theorem for theBenchmark.p
% 4.16/1.16  
% 4.16/1.16  % SZS output start CNFRefutation for theBenchmark.p
% 4.16/1.16  
% 4.16/1.16  tff(f4,axiom,(
% 4.16/1.16    ! [X5 : $int,X6 : collection,X7 : $int] : ((X5 = X7 | in(X5,X6)) <=> in(X5,add(X7,X6)))),
% 4.16/1.16    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
% 4.16/1.16  
% 4.16/1.16  tff(f5,axiom,(
% 4.16/1.16    ! [X8 : $int,X9 : collection,X10 : $int] : ((X8 != X10 & in(X8,X9)) <=> in(X8,remove(X10,X9)))),
% 4.16/1.16    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
% 4.16/1.16  
% 4.16/1.16  tff(f6,conjecture,(
% 4.16/1.16    ! [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : ((add($sum(X2,X3),remove(X2,X1)) = X0 & $greatereq(X3,0) & in(X2,X1) & ! [X4 : $int] : (in(X4,X1) => $greater(X4,0))) => ! [X5 : $int] : (in(X5,X0) => $greater(X5,0)))),
% 4.16/1.16    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 4.16/1.16  
% 4.16/1.16  tff(f7,negated_conjecture,(
% 4.16/1.16    ~! [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : ((add($sum(X2,X3),remove(X2,X1)) = X0 & $greatereq(X3,0) & in(X2,X1) & ! [X4 : $int] : (in(X4,X1) => $greater(X4,0))) => ! [X5 : $int] : (in(X5,X0) => $greater(X5,0)))),
% 4.16/1.16    inference(negated_conjecture,[],[f6])).
% 4.16/1.16  
% 4.16/1.16  tff(f8,plain,(
% 4.16/1.16    ~! [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : ((add($sum(X2,X3),remove(X2,X1)) = X0 & ~$less(X3,0) & in(X2,X1) & ! [X4 : $int] : (in(X4,X1) => $less(0,X4))) => ! [X5 : $int] : (in(X5,X0) => $less(0,X5)))),
% 4.16/1.16    inference(theory_normalization,[],[f7])).
% 4.16/1.16  
% 4.16/1.16  tff(f9,plain,(
% 4.16/1.16    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 4.16/1.16    introduced(theory_axiom_138,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f10,plain,(
% 4.16/1.16    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 4.16/1.16    introduced(theory_axiom_139,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f11,plain,(
% 4.16/1.16    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 4.16/1.16    introduced(theory_axiom_140,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f13,plain,(
% 4.16/1.16    ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 4.16/1.16    introduced(theory_axiom_143,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f14,plain,(
% 4.16/1.16    ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 4.16/1.16    introduced(theory_axiom_145,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f15,plain,(
% 4.16/1.16    ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 4.16/1.16    introduced(theory_axiom_146,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f16,plain,(
% 4.16/1.16    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 4.16/1.16    introduced(theory_axiom_147,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f18,plain,(
% 4.16/1.16    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 4.16/1.16    introduced(theory_axiom_150,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f20,plain,(
% 4.16/1.16    ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 4.16/1.16    introduced(theory_axiom_164,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f23,plain,(
% 4.16/1.16    ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1)) <=> in(X0,add(X2,X1)))),
% 4.16/1.16    inference(rectify,[],[f4])).
% 4.16/1.16  
% 4.16/1.16  tff(f24,plain,(
% 4.16/1.16    ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))),
% 4.16/1.16    inference(rectify,[],[f5])).
% 4.16/1.16  
% 4.16/1.16  tff(f25,plain,(
% 4.16/1.16    ? [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,X5) & in(X5,X0)) & (add($sum(X2,X3),remove(X2,X1)) = X0 & ~$less(X3,0) & in(X2,X1) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,X1))))),
% 4.16/1.16    inference(ennf_transformation,[],[f8])).
% 4.16/1.16  
% 4.16/1.16  tff(f26,plain,(
% 4.16/1.16    ? [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,X5) & in(X5,X0)) & add($sum(X2,X3),remove(X2,X1)) = X0 & ~$less(X3,0) & in(X2,X1) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,X1)))),
% 4.16/1.16    inference(flattening,[],[f25])).
% 4.16/1.16  
% 4.16/1.16  tff(f27,plain,(
% 4.16/1.16    ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 = X2 | in(X0,X1)) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))))),
% 4.16/1.16    inference(nnf_transformation,[],[f23])).
% 4.16/1.16  
% 4.16/1.16  tff(f28,plain,(
% 4.16/1.16    ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))))),
% 4.16/1.16    inference(flattening,[],[f27])).
% 4.16/1.16  
% 4.16/1.16  tff(f29,plain,(
% 4.16/1.16    ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (X0 = X2 | ~in(X0,X1))))),
% 4.16/1.16    inference(nnf_transformation,[],[f24])).
% 4.16/1.16  
% 4.16/1.16  tff(f30,plain,(
% 4.16/1.16    ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)))),
% 4.16/1.16    inference(flattening,[],[f29])).
% 4.16/1.16  
% 4.16/1.16  tff(f31,plain,(
% 4.16/1.16    ? [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : (? [X4 : $int] : (~$less(0,X4) & in(X4,X0)) & add($sum(X2,X3),remove(X2,X1)) = X0 & ~$less(X3,0) & in(X2,X1) & ! [X5 : $int] : ($less(0,X5) | ~in(X5,X1)))),
% 4.16/1.16    inference(rectify,[],[f26])).
% 4.16/1.16  
% 4.16/1.16  tff(f32,plain,(
% 4.16/1.16    ? [X0 : collection,X1 : collection,X2 : $int,X3 : $int] : (? [X4 : $int] : (~$less(0,X4) & in(X4,X0)) & add($sum(X2,X3),remove(X2,X1)) = X0 & ~$less(X3,0) & in(X2,X1) & ! [X5 : $int] : ($less(0,X5) | ~in(X5,X1))) => (? [X4 : $int] : (~$less(0,X4) & in(X4,sK0)) & sK0 = add($sum(sK2,sK3),remove(sK2,sK1)) & ~$less(sK3,0) & in(sK2,sK1) & ! [X5 : $int] : ($less(0,X5) | ~in(X5,sK1)))),
% 4.16/1.16    introduced(choice_axiom,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f33,plain,(
% 4.16/1.16    ? [X4 : $int] : (~$less(0,X4) & in(X4,sK0)) => (~$less(0,sK4) & in(sK4,sK0))),
% 4.16/1.16    introduced(choice_axiom,[])).
% 4.16/1.16  
% 4.16/1.16  tff(f34,plain,(
% 4.16/1.16    (~$less(0,sK4) & in(sK4,sK0)) & sK0 = add($sum(sK2,sK3),remove(sK2,sK1)) & ~$less(sK3,0) & in(sK2,sK1) & ! [X5 : $int] : ($less(0,X5) | ~in(X5,sK1))),
% 4.16/1.16    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f31,f33,f32])).
% 4.16/1.16  
% 4.16/1.16  tff(f40,plain,(
% 4.16/1.16    ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) )),
% 4.16/1.16    inference(cnf_transformation,[],[f28])).
% 4.16/1.16  
% 4.16/1.16  tff(f42,plain,(
% 4.16/1.16    ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,X1) | ~in(X0,remove(X2,X1))) )),
% 4.16/1.16    inference(cnf_transformation,[],[f30])).
% 4.16/1.16  
% 4.16/1.16  tff(f44,plain,(
% 4.16/1.16    ( ! [X5 : $int] : ($less(0,X5) | ~in(X5,sK1)) )),
% 4.16/1.16    inference(cnf_transformation,[],[f34])).
% 4.16/1.16  
% 4.16/1.16  tff(f45,plain,(
% 4.16/1.16    in(sK2,sK1)),
% 4.16/1.16    inference(cnf_transformation,[],[f34])).
% 4.16/1.16  
% 4.16/1.16  tff(f46,plain,(
% 4.16/1.16    ~$less(sK3,0)),
% 4.16/1.16    inference(cnf_transformation,[],[f34])).
% 4.16/1.16  
% 4.16/1.16  tff(f47,plain,(
% 4.16/1.16    sK0 = add($sum(sK2,sK3),remove(sK2,sK1))),
% 4.16/1.16    inference(cnf_transformation,[],[f34])).
% 4.16/1.16  
% 4.16/1.16  tff(f48,plain,(
% 4.16/1.16    in(sK4,sK0)),
% 4.16/1.16    inference(cnf_transformation,[],[f34])).
% 4.16/1.16  
% 4.16/1.16  tff(f49,plain,(
% 4.16/1.16    ~$less(0,sK4)),
% 4.16/1.16    inference(cnf_transformation,[],[f34])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_49,plain,
% 4.16/1.16      (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f20])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_51,plain,
% 4.16/1.16      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f18])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_53,plain,
% 4.16/1.16      (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f16])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_54,plain,
% 4.16/1.16      (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f15])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_55,plain,
% 4.16/1.16      (~$less_int(X0_3,X0_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f14])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_56,plain,
% 4.16/1.16      ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 4.16/1.16      inference(cnf_transformation,[],[f13])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_58,plain,
% 4.16/1.16      ($sum_int(X0_3,0) = X0_3),
% 4.16/1.16      inference(cnf_transformation,[],[f11])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_59,plain,
% 4.16/1.16      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 4.16/1.16      inference(cnf_transformation,[],[f10])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_60,plain,
% 4.16/1.16      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f9])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_64,plain,
% 4.16/1.16      (~in(X0_3,add(X1_3,X0_13))|X0_3 = X1_3|in(X0_3,X0_13)),
% 4.16/1.16      inference(cnf_transformation,[],[f40])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_68,plain,
% 4.16/1.16      (~in(X0_3,remove(X1_3,X0_13))|in(X0_3,X0_13)),
% 4.16/1.16      inference(cnf_transformation,[],[f42])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_70,negated_conjecture,
% 4.16/1.16      (~$less_int(0,sK4)),
% 4.16/1.16      inference(cnf_transformation,[],[f49])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_71,negated_conjecture,
% 4.16/1.16      (in(sK4,sK0)),
% 4.16/1.16      inference(cnf_transformation,[],[f48])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_72,negated_conjecture,
% 4.16/1.16      (add($sum_int(sK2,sK3),remove(sK2,sK1)) = sK0),
% 4.16/1.16      inference(cnf_transformation,[],[f47])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_73,negated_conjecture,
% 4.16/1.16      (~$less_int(sK3,0)),
% 4.16/1.16      inference(cnf_transformation,[],[f46])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_74,negated_conjecture,
% 4.16/1.16      (in(sK2,sK1)),
% 4.16/1.16      inference(cnf_transformation,[],[f45])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_75,negated_conjecture,
% 4.16/1.16      (~in(X0_3,sK1)|$less_int(0,X0_3)),
% 4.16/1.16      inference(cnf_transformation,[],[f44])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_463,plain,(X0_3 = X0_3),theory(equality)).
% 4.16/1.16  
% 4.16/1.16  cnf(c_469,plain,
% 4.16/1.16      (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 4.16/1.16      theory(equality)).
% 4.16/1.16  
% 4.16/1.16  cnf(c_882,plain,
% 4.16/1.16      ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 4.16/1.16      inference(superposition,[status(thm)],[c_59,c_60])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_887,plain,
% 4.16/1.16      ($less_int(0,sK2)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_74,c_75])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_893,plain,
% 4.16/1.16      ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_56,c_882])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_901,plain,
% 4.16/1.16      ($less_int(X0_3,$sum_int(X0_3,1))),
% 4.16/1.16      inference(superposition,[status(thm)],[c_51,c_55])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_908,plain,
% 4.16/1.16      ($less_int(X0_3,$sum_int(1,X0_3))),
% 4.16/1.16      inference(superposition,[status(thm)],[c_60,c_901])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_909,plain,
% 4.16/1.16      ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_60,c_51])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_910,plain,
% 4.16/1.16      ($sum_int(0,X0_3) = X0_3),
% 4.16/1.16      inference(superposition,[status(thm)],[c_60,c_58])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_927,plain,
% 4.16/1.16      ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_910,c_51])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_968,plain,
% 4.16/1.16      (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_910,c_49])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1011,plain,
% 4.16/1.16      ($less_int($uminus_int(1),X0_3)|$less_int(X0_3,0)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_56,c_909])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1027,plain,
% 4.16/1.16      ($less_int(X0_3,0)|$less_int(-1,X0_3)),
% 4.16/1.16      inference(smt_theory_normalisation,[status(thm)],[c_1011])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1036,plain,
% 4.16/1.16      ($less_int(-1,sK3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_1027,c_73])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1046,plain,
% 4.16/1.16      (~$less_int(X0_3,1)|X0_3 = 0|$less_int(X0_3,0)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_53,c_968])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1086,plain,
% 4.16/1.16      ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 4.16/1.16      inference(demodulation,[status(thm)],[c_893,c_58])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1101,plain,
% 4.16/1.16      ($less_int($sum_int(X0_3,$uminus_int(1)),X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_1086,c_908])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1124,plain,
% 4.16/1.16      (~$less_int(sK2,X0_3)|$less_int(0,X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_887,c_54])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1236,plain,
% 4.16/1.16      (~$less_int(X0_3,0)|~$less_int(0,sK2)|$less_int(X0_3,sK2)),
% 4.16/1.16      inference(instantiation,[status(thm)],[c_54])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1237,plain,
% 4.16/1.16      (X0_3 != 0|X1_3 != sK2|~$less_int(0,sK2)|$less_int(X0_3,X1_3)),
% 4.16/1.16      inference(instantiation,[status(thm)],[c_469])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1286,plain,(sK2 = sK2),inference(instantiation,[status(thm)],[c_463])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1297,plain,
% 4.16/1.16      (~in(X0_3,sK0)|$sum_int(sK2,sK3) = X0_3|in(X0_3,remove(sK2,sK1))),
% 4.16/1.16      inference(superposition,[status(thm)],[c_72,c_64])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1305,plain,
% 4.16/1.16      ($less_int($sum_int($uminus_int(1),X0_3),X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_60,c_1101])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1343,plain,
% 4.16/1.16      (~in(X0_3,sK0)|$sum_int(sK2,sK3) = X0_3|in(X0_3,sK1)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_1297,c_68])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1357,plain,
% 4.16/1.16      (X0_3 = sK2|$less_int(X0_3,sK2)|$less_int(0,X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_53,c_1124])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1697,plain,
% 4.16/1.16      ($sum_int(sK2,sK3) = sK4|in(sK4,sK1)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_71,c_1343])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1706,plain,
% 4.16/1.16      ($sum_int(sK2,sK3) = sK4|$less_int(0,sK4)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_1697,c_75])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1707,plain,
% 4.16/1.16      ($sum_int(sK2,sK3) = sK4),
% 4.16/1.16      inference(forward_subsumption_resolution,[status(thm)],[c_1706,c_70])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_1722,plain,
% 4.16/1.16      ($sum_int(sK2,$sum_int(sK3,X0_3)) = $sum_int(sK4,X0_3)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_1707,c_59])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_2361,plain,
% 4.16/1.16      (X0_3 != 0|sK2 != sK2|~$less_int(0,sK2)|$less_int(X0_3,sK2)),
% 4.16/1.16      inference(instantiation,[status(thm)],[c_1237])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_2375,plain,
% 4.16/1.16      ($less_int(X0_3,sK2)|$less_int(0,X0_3)),
% 4.16/1.16      inference(global_subsumption_just,
% 4.16/1.16                [status(thm)],
% 4.16/1.16                [c_1357,c_887,c_927,c_1046,c_1236,c_1286,c_2361])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_2387,plain,
% 4.16/1.16      (~$less_int(X0_3,1)|$less_int(X0_3,sK2)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_2375,c_968])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_4685,plain,
% 4.16/1.16      ($less_int($sum_int($uminus_int(1),1),sK2)),
% 4.16/1.16      inference(superposition,[status(thm)],[c_1305,c_2387])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_4691,plain,
% 4.16/1.16      ($less_int($sum_int(1,$uminus_int(1)),sK2)),
% 4.16/1.16      inference(theory_normalisation,[status(thm)],[c_4685,c_59,c_60])).
% 4.16/1.16  
% 4.16/1.16  cnf(c_5239,plain,
% 4.16/1.16      ($false),
% 4.16/1.16      inference(smt_impl_just,[status(thm)],[c_4691,c_1722,c_1036,c_70])).
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  % SZS output end CNFRefutation for theBenchmark.p
% 4.16/1.16  
% 4.16/1.16  
%------------------------------------------------------------------------------