TSTP Solution File: DAT071_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : DAT071_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:14:21 EDT 2024

% Result   : Theorem 2.55s 1.17s
% Output   : CNFRefutation 2.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : DAT071_1 : TPTP v8.1.2. Released v6.1.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n025.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 : Thu May  2 19:01:43 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
% 2.55/1.17  % SZS status Started for theBenchmark.p
% 2.55/1.17  % SZS status Theorem for theBenchmark.p
% 2.55/1.17  
% 2.55/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.55/1.17  
% 2.55/1.17  ------  iProver source info
% 2.55/1.17  
% 2.55/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.55/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.55/1.17  git: non_committed_changes: false
% 2.55/1.17  
% 2.55/1.17  ------ Parsing...
% 2.55/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.55/1.17  
% 2.55/1.17  ------ 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 
% 2.55/1.17  
% 2.55/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.55/1.17  
% 2.55/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.55/1.17  ------ Proving...
% 2.55/1.17  ------ Problem Properties 
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  clauses                                 31
% 2.55/1.17  conjectures                             9
% 2.55/1.17  EPR                                     9
% 2.55/1.17  Horn                                    23
% 2.55/1.17  unary                                   17
% 2.55/1.17  binary                                  4
% 2.55/1.17  lits                                    59
% 2.55/1.17  lits eq                                 25
% 2.55/1.17  fd_pure                                 0
% 2.55/1.17  fd_pseudo                               0
% 2.55/1.17  fd_cond                                 0
% 2.55/1.17  fd_pseudo_cond                          6
% 2.55/1.17  AC symbols                              1
% 2.55/1.17  
% 2.55/1.17  ------ Input Options Time Limit: Unbounded
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  ------ 
% 2.55/1.17  Current options:
% 2.55/1.17  ------ 
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  ------ Proving...
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  % SZS status Theorem for theBenchmark.p
% 2.55/1.17  
% 2.55/1.17  % SZS output start CNFRefutation for theBenchmark.p
% 2.55/1.17  
% 2.55/1.17  tff(f10,conjecture,(
% 2.55/1.17    ! [X0 : array,X5 : $int,X8 : $int,X9 : $int] : ((? [X1 : $int] : (read(X0,X1) = X9 & $greatereq(X1,0) & $greater(X5,X1)) & ! [X1 : $int] : (($greatereq(X1,0) & $greater(X5,X1)) => $lesseq(read(X0,X1),X9)) & ? [X1 : $int] : (read(X0,X1) = X8 & $greatereq(X1,0) & $greater(X5,X1)) & ! [X1 : $int] : (($greatereq(X1,0) & $greater(X5,X1)) => $lesseq(read(X0,X1),X8))) => X8 = X9)),
% 2.55/1.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c)).
% 2.55/1.17  
% 2.55/1.17  tff(f11,negated_conjecture,(
% 2.55/1.17    ~! [X0 : array,X5 : $int,X8 : $int,X9 : $int] : ((? [X1 : $int] : (read(X0,X1) = X9 & $greatereq(X1,0) & $greater(X5,X1)) & ! [X1 : $int] : (($greatereq(X1,0) & $greater(X5,X1)) => $lesseq(read(X0,X1),X9)) & ? [X1 : $int] : (read(X0,X1) = X8 & $greatereq(X1,0) & $greater(X5,X1)) & ! [X1 : $int] : (($greatereq(X1,0) & $greater(X5,X1)) => $lesseq(read(X0,X1),X8))) => X8 = X9)),
% 2.55/1.17    inference(negated_conjecture,[],[f10])).
% 2.55/1.17  
% 2.55/1.17  tff(f17,plain,(
% 2.55/1.17    ~! [X0 : array,X5 : $int,X8 : $int,X9 : $int] : ((? [X1 : $int] : (read(X0,X1) = X9 & ~$less(X1,0) & $less(X1,X5)) & ! [X1 : $int] : ((~$less(X1,0) & $less(X1,X5)) => ~$less(X9,read(X0,X1))) & ? [X1 : $int] : (read(X0,X1) = X8 & ~$less(X1,0) & $less(X1,X5)) & ! [X1 : $int] : ((~$less(X1,0) & $less(X1,X5)) => ~$less(X8,read(X0,X1)))) => X8 = X9)),
% 2.55/1.17    inference(theory_normalization,[],[f11])).
% 2.55/1.17  
% 2.55/1.17  tff(f25,plain,(
% 2.55/1.17    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 2.55/1.17    introduced(theory_axiom_147,[])).
% 2.55/1.17  
% 2.55/1.17  tff(f38,plain,(
% 2.55/1.17    ~! [X0 : array,X1 : $int,X2 : $int,X3 : $int] : ((? [X4 : $int] : (read(X0,X4) = X3 & ~$less(X4,0) & $less(X4,X1)) & ! [X5 : $int] : ((~$less(X5,0) & $less(X5,X1)) => ~$less(X3,read(X0,X5))) & ? [X6 : $int] : (read(X0,X6) = X2 & ~$less(X6,0) & $less(X6,X1)) & ! [X7 : $int] : ((~$less(X7,0) & $less(X7,X1)) => ~$less(X2,read(X0,X7)))) => X2 = X3)),
% 2.55/1.17    inference(rectify,[],[f17])).
% 2.55/1.17  
% 2.55/1.17  tff(f43,plain,(
% 2.55/1.17    ? [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (X2 != X3 & (? [X4 : $int] : (read(X0,X4) = X3 & ~$less(X4,0) & $less(X4,X1)) & ! [X5 : $int] : (~$less(X3,read(X0,X5)) | ($less(X5,0) | ~$less(X5,X1))) & ? [X6 : $int] : (read(X0,X6) = X2 & ~$less(X6,0) & $less(X6,X1)) & ! [X7 : $int] : (~$less(X2,read(X0,X7)) | ($less(X7,0) | ~$less(X7,X1)))))),
% 2.55/1.17    inference(ennf_transformation,[],[f38])).
% 2.55/1.17  
% 2.55/1.17  tff(f44,plain,(
% 2.55/1.17    ? [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (X2 != X3 & ? [X4 : $int] : (read(X0,X4) = X3 & ~$less(X4,0) & $less(X4,X1)) & ! [X5 : $int] : (~$less(X3,read(X0,X5)) | $less(X5,0) | ~$less(X5,X1)) & ? [X6 : $int] : (read(X0,X6) = X2 & ~$less(X6,0) & $less(X6,X1)) & ! [X7 : $int] : (~$less(X2,read(X0,X7)) | $less(X7,0) | ~$less(X7,X1)))),
% 2.55/1.17    inference(flattening,[],[f43])).
% 2.55/1.17  
% 2.55/1.17  tff(f51,plain,(
% 2.55/1.17    ? [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (X2 != X3 & ? [X4 : $int] : (read(X0,X4) = X3 & ~$less(X4,0) & $less(X4,X1)) & ! [X5 : $int] : (~$less(X3,read(X0,X5)) | $less(X5,0) | ~$less(X5,X1)) & ? [X6 : $int] : (read(X0,X6) = X2 & ~$less(X6,0) & $less(X6,X1)) & ! [X7 : $int] : (~$less(X2,read(X0,X7)) | $less(X7,0) | ~$less(X7,X1))) => (sK5 != sK6 & ? [X4 : $int] : (sK6 = read(sK3,X4) & ~$less(X4,0) & $less(X4,sK4)) & ! [X5 : $int] : (~$less(sK6,read(sK3,X5)) | $less(X5,0) | ~$less(X5,sK4)) & ? [X6 : $int] : (sK5 = read(sK3,X6) & ~$less(X6,0) & $less(X6,sK4)) & ! [X7 : $int] : (~$less(sK5,read(sK3,X7)) | $less(X7,0) | ~$less(X7,sK4)))),
% 2.55/1.17    introduced(choice_axiom,[])).
% 2.55/1.17  
% 2.55/1.17  tff(f52,plain,(
% 2.55/1.17    ? [X4 : $int] : (sK6 = read(sK3,X4) & ~$less(X4,0) & $less(X4,sK4)) => (sK6 = read(sK3,sK7) & ~$less(sK7,0) & $less(sK7,sK4))),
% 2.55/1.17    introduced(choice_axiom,[])).
% 2.55/1.17  
% 2.55/1.17  tff(f53,plain,(
% 2.55/1.17    ? [X6 : $int] : (sK5 = read(sK3,X6) & ~$less(X6,0) & $less(X6,sK4)) => (sK5 = read(sK3,sK8) & ~$less(sK8,0) & $less(sK8,sK4))),
% 2.55/1.17    introduced(choice_axiom,[])).
% 2.55/1.17  
% 2.55/1.17  tff(f54,plain,(
% 2.55/1.17    sK5 != sK6 & (sK6 = read(sK3,sK7) & ~$less(sK7,0) & $less(sK7,sK4)) & ! [X5 : $int] : (~$less(sK6,read(sK3,X5)) | $less(X5,0) | ~$less(X5,sK4)) & (sK5 = read(sK3,sK8) & ~$less(sK8,0) & $less(sK8,sK4)) & ! [X7 : $int] : (~$less(sK5,read(sK3,X7)) | $less(X7,0) | ~$less(X7,sK4))),
% 2.55/1.17    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8])],[f44,f53,f52,f51])).
% 2.55/1.17  
% 2.55/1.17  tff(f65,plain,(
% 2.55/1.17    ( ! [X7 : $int] : (~$less(sK5,read(sK3,X7)) | $less(X7,0) | ~$less(X7,sK4)) )),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f66,plain,(
% 2.55/1.17    $less(sK8,sK4)),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f67,plain,(
% 2.55/1.17    ~$less(sK8,0)),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f68,plain,(
% 2.55/1.17    sK5 = read(sK3,sK8)),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f69,plain,(
% 2.55/1.17    ( ! [X5 : $int] : (~$less(sK6,read(sK3,X5)) | $less(X5,0) | ~$less(X5,sK4)) )),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f70,plain,(
% 2.55/1.17    $less(sK7,sK4)),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f71,plain,(
% 2.55/1.17    ~$less(sK7,0)),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f72,plain,(
% 2.55/1.17    sK6 = read(sK3,sK7)),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  tff(f73,plain,(
% 2.55/1.17    sK5 != sK6),
% 2.55/1.17    inference(cnf_transformation,[],[f54])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_53,plain,
% 2.55/1.17      (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 2.55/1.17      inference(cnf_transformation,[],[f25])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_71,negated_conjecture,
% 2.55/1.17      (sK5 != sK6),
% 2.55/1.17      inference(cnf_transformation,[],[f73])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_72,negated_conjecture,
% 2.55/1.17      (read(sK3,sK7) = sK6),
% 2.55/1.17      inference(cnf_transformation,[],[f72])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_73,negated_conjecture,
% 2.55/1.17      (~$less_int(sK7,0)),
% 2.55/1.17      inference(cnf_transformation,[],[f71])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_74,negated_conjecture,
% 2.55/1.17      ($less_int(sK7,sK4)),
% 2.55/1.17      inference(cnf_transformation,[],[f70])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_75,negated_conjecture,
% 2.55/1.17      (~$less_int(sK6,read(sK3,X0_3))|~$less_int(X0_3,sK4)|$less_int(X0_3,0)),
% 2.55/1.17      inference(cnf_transformation,[],[f69])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_76,negated_conjecture,
% 2.55/1.17      (read(sK3,sK8) = sK5),
% 2.55/1.17      inference(cnf_transformation,[],[f68])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_77,negated_conjecture,
% 2.55/1.17      (~$less_int(sK8,0)),
% 2.55/1.17      inference(cnf_transformation,[],[f67])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_78,negated_conjecture,
% 2.55/1.17      ($less_int(sK8,sK4)),
% 2.55/1.17      inference(cnf_transformation,[],[f66])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_79,negated_conjecture,
% 2.55/1.17      (~$less_int(sK5,read(sK3,X0_3))|~$less_int(X0_3,sK4)|$less_int(X0_3,0)),
% 2.55/1.17      inference(cnf_transformation,[],[f65])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_1167,plain,
% 2.55/1.17      (~$less_int(sK6,sK5)|~$less_int(sK8,sK4)|$less_int(sK8,0)),
% 2.55/1.17      inference(superposition,[status(thm)],[c_76,c_75])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_1168,plain,
% 2.55/1.17      (~$less_int(sK6,sK5)),
% 2.55/1.17      inference(forward_subsumption_resolution,
% 2.55/1.17                [status(thm)],
% 2.55/1.17                [c_1167,c_77,c_78])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_1184,plain,
% 2.55/1.17      (~$less_int(sK5,sK6)|~$less_int(sK7,sK4)|$less_int(sK7,0)),
% 2.55/1.17      inference(superposition,[status(thm)],[c_72,c_79])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_1186,plain,
% 2.55/1.17      (~$less_int(sK5,sK6)),
% 2.55/1.17      inference(forward_subsumption_resolution,
% 2.55/1.17                [status(thm)],
% 2.55/1.17                [c_1184,c_73,c_74])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_1263,plain,
% 2.55/1.17      (sK5 = sK6|$less_int(sK6,sK5)),
% 2.55/1.17      inference(superposition,[status(thm)],[c_53,c_1186])).
% 2.55/1.17  
% 2.55/1.17  cnf(c_1266,plain,
% 2.55/1.17      ($false),
% 2.55/1.17      inference(forward_subsumption_resolution,
% 2.55/1.17                [status(thm)],
% 2.55/1.17                [c_1263,c_1168,c_71])).
% 2.55/1.17  
% 2.55/1.17  
% 2.55/1.17  % SZS output end CNFRefutation for theBenchmark.p
% 2.55/1.17  
% 2.55/1.17  
%------------------------------------------------------------------------------