TSTP Solution File: SWV997_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV997_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 22:43:20 EDT 2023

% Result   : Theorem 0.46s 1.14s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV997_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 05:15:54 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.14  % SZS status Started for theBenchmark.p
% 0.46/1.14  % SZS status Theorem for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.14  
% 0.46/1.14  ------  iProver source info
% 0.46/1.14  
% 0.46/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.14  git: non_committed_changes: false
% 0.46/1.14  git: last_make_outside_of_git: false
% 0.46/1.14  
% 0.46/1.14  ------ Parsing...
% 0.46/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.14  
% 0.46/1.14  ------ 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 
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.14  ------ Proving...
% 0.46/1.14  ------ Problem Properties 
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  clauses                                 42
% 0.46/1.14  conjectures                             22
% 0.46/1.14  EPR                                     19
% 0.46/1.14  Horn                                    37
% 0.46/1.14  unary                                   32
% 0.46/1.14  binary                                  2
% 0.46/1.14  lits                                    79
% 0.46/1.14  lits eq                                 44
% 0.46/1.14  fd_pure                                 0
% 0.46/1.14  fd_pseudo                               0
% 0.46/1.14  fd_cond                                 0
% 0.46/1.14  fd_pseudo_cond                          7
% 0.46/1.14  AC symbols                              1
% 0.46/1.14  
% 0.46/1.14  ------ Input Options Time Limit: Unbounded
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ 
% 0.46/1.14  Current options:
% 0.46/1.14  ------ 
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ Proving...
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  % SZS status Theorem for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  % SZS output start CNFRefutation for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  tff(f1,conjecture,(
% 0.46/1.14    (! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 8 = a(X2) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & 5 = b(X2) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 6 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & 5 = b(X2) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 8 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 9 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~(10 = a(X1) & a(X0) = 10 & X0 != X1) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & $true & ! [X0 : $int] : ($lesseq(b(X0),5) & $lesseq(1,b(X0))) & ! [X0 : $int] : ($lesseq(a(X0),12) & $lesseq(1,a(X0)))) => ~($less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1))),
% 0.46/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0)).
% 0.46/1.14  
% 0.46/1.14  tff(f2,negated_conjecture,(
% 0.46/1.14    ~((! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 8 = a(X2) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & 5 = b(X2) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 6 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & 5 = b(X2) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 8 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 9 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~(10 = a(X1) & a(X0) = 10 & X0 != X1) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & $true & ! [X0 : $int] : ($lesseq(b(X0),5) & $lesseq(1,b(X0))) & ! [X0 : $int] : ($lesseq(a(X0),12) & $lesseq(1,a(X0)))) => ~($less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1)))),
% 0.46/1.14    inference(negated_conjecture,[],[f1])).
% 0.46/1.14  
% 0.46/1.14  tff(f3,plain,(
% 0.46/1.14    ~((! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 8 = a(X2) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & 5 = b(X2) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 6 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & 5 = b(X2) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 8 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 10 = a(X1) & a(X0) = 9 & X0 != X1) & ! [X0 : $int,X1 : $int] : ~(10 = a(X1) & a(X0) = 10 & X0 != X1) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & $true & ! [X0 : $int] : (~$less(5,b(X0)) & ~$less(b(X0),1)) & ! [X0 : $int] : (~$less(12,a(X0)) & ~$less(a(X0),1))) => ~($less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1)))),
% 0.46/1.14    inference(theory_normalization,[],[f2])).
% 0.46/1.14  
% 0.46/1.14  tff(f16,plain,(
% 0.46/1.14    ~((! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 8 = a(X2) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X3 : $int,X4 : $int,X5 : $int] : ~($less(X4,X3) & 5 = b(X5) & $less(b(X4),3) & 10 = a(X4) & 6 = a(X3) & X4 != X5 & X3 != X5 & X3 != X4) & ! [X6 : $int,X7 : $int,X8 : $int] : ~($less(X7,X6) & 5 = b(X8) & $less(b(X7),3) & 10 = a(X7) & 7 = a(X6) & X7 != X8 & X6 != X8 & X6 != X7) & ! [X9 : $int,X10 : $int] : ~($less(X10,X9) & $less(b(X10),3) & 10 = a(X10) & 8 = a(X9) & X9 != X10) & ! [X11 : $int,X12 : $int] : ~($less(X12,X11) & $less(b(X12),3) & 10 = a(X12) & 9 = a(X11) & X11 != X12) & ! [X13 : $int,X14 : $int] : ~(10 = a(X14) & 10 = a(X13) & X13 != X14) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & $true & ! [X15 : $int] : (~$less(5,b(X15)) & ~$less(b(X15),1)) & ! [X16 : $int] : (~$less(12,a(X16)) & ~$less(a(X16),1))) => ~($less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1)))),
% 0.46/1.14    inference(rectify,[],[f3])).
% 0.46/1.14  
% 0.46/1.14  tff(f17,plain,(
% 0.46/1.14    ~((! [X0 : $int,X1 : $int,X2 : $int] : ~($less(X1,X0) & $less(b(X1),3) & 8 = a(X2) & 10 = a(X1) & a(X0) = 7 & X1 != X2 & X0 != X2 & X0 != X1) & ! [X3 : $int,X4 : $int,X5 : $int] : ~($less(X4,X3) & 5 = b(X5) & $less(b(X4),3) & 10 = a(X4) & 6 = a(X3) & X4 != X5 & X3 != X5 & X3 != X4) & ! [X6 : $int,X7 : $int,X8 : $int] : ~($less(X7,X6) & 5 = b(X8) & $less(b(X7),3) & 10 = a(X7) & 7 = a(X6) & X7 != X8 & X6 != X8 & X6 != X7) & ! [X9 : $int,X10 : $int] : ~($less(X10,X9) & $less(b(X10),3) & 10 = a(X10) & 8 = a(X9) & X9 != X10) & ! [X11 : $int,X12 : $int] : ~($less(X12,X11) & $less(b(X12),3) & 10 = a(X12) & 9 = a(X11) & X11 != X12) & ! [X13 : $int,X14 : $int] : ~(10 = a(X14) & 10 = a(X13) & X13 != X14) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & ! [X15 : $int] : (~$less(5,b(X15)) & ~$less(b(X15),1)) & ! [X16 : $int] : (~$less(12,a(X16)) & ~$less(a(X16),1))) => ~($less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1)))),
% 0.46/1.14    inference(true_and_false_elimination,[],[f16])).
% 0.46/1.14  
% 0.46/1.14  tff(f18,plain,(
% 0.46/1.14    ($less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1)) & (! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) | ~$less(b(X1),3) | 8 != a(X2) | 10 != a(X1) | a(X0) != 7 | X1 = X2 | X0 = X2 | X0 = X1) & ! [X3 : $int,X4 : $int,X5 : $int] : (~$less(X4,X3) | 5 != b(X5) | ~$less(b(X4),3) | 10 != a(X4) | 6 != a(X3) | X4 = X5 | X3 = X5 | X3 = X4) & ! [X6 : $int,X7 : $int,X8 : $int] : (~$less(X7,X6) | 5 != b(X8) | ~$less(b(X7),3) | 10 != a(X7) | 7 != a(X6) | X7 = X8 | X6 = X8 | X6 = X7) & ! [X9 : $int,X10 : $int] : (~$less(X10,X9) | ~$less(b(X10),3) | 10 != a(X10) | 8 != a(X9) | X9 = X10) & ! [X11 : $int,X12 : $int] : (~$less(X12,X11) | ~$less(b(X12),3) | 10 != a(X12) | 9 != a(X11) | X11 = X12) & ! [X13 : $int,X14 : $int] : (10 != a(X14) | 10 != a(X13) | X13 = X14) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & ! [X15 : $int] : (~$less(5,b(X15)) & ~$less(b(X15),1)) & ! [X16 : $int] : (~$less(12,a(X16)) & ~$less(a(X16),1)))),
% 0.46/1.14    inference(ennf_transformation,[],[f17])).
% 0.46/1.14  
% 0.46/1.14  tff(f19,plain,(
% 0.46/1.14    $less(z2,z1) & 5 = b(z3) & $less(b(z2),3) & 1 = a(z3) & 10 = a(z2) & 6 = a(z1) & ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) | ~$less(b(X1),3) | 8 != a(X2) | 10 != a(X1) | a(X0) != 7 | X1 = X2 | X0 = X2 | X0 = X1) & ! [X3 : $int,X4 : $int,X5 : $int] : (~$less(X4,X3) | 5 != b(X5) | ~$less(b(X4),3) | 10 != a(X4) | 6 != a(X3) | X4 = X5 | X3 = X5 | X3 = X4) & ! [X6 : $int,X7 : $int,X8 : $int] : (~$less(X7,X6) | 5 != b(X8) | ~$less(b(X7),3) | 10 != a(X7) | 7 != a(X6) | X7 = X8 | X6 = X8 | X6 = X7) & ! [X9 : $int,X10 : $int] : (~$less(X10,X9) | ~$less(b(X10),3) | 10 != a(X10) | 8 != a(X9) | X9 = X10) & ! [X11 : $int,X12 : $int] : (~$less(X12,X11) | ~$less(b(X12),3) | 10 != a(X12) | 9 != a(X11) | X11 = X12) & ! [X13 : $int,X14 : $int] : (10 != a(X14) | 10 != a(X13) | X13 = X14) & z3 != z4 & z2 != z4 & z2 != z3 & z1 != z4 & z1 != z3 & z1 != z2 & ! [X15 : $int] : (~$less(5,b(X15)) & ~$less(b(X15),1)) & ! [X16 : $int] : (~$less(12,a(X16)) & ~$less(a(X16),1))),
% 0.46/1.14    inference(flattening,[],[f18])).
% 0.46/1.14  
% 0.46/1.14  tff(f24,plain,(
% 0.46/1.14    z1 != z2),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f25,plain,(
% 0.46/1.14    z1 != z3),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f27,plain,(
% 0.46/1.14    z2 != z3),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f34,plain,(
% 0.46/1.14    ( ! [X3 : $int,X4 : $int,X5 : $int] : (~$less(X4,X3) | 5 != b(X5) | ~$less(b(X4),3) | 10 != a(X4) | 6 != a(X3) | X4 = X5 | X3 = X5 | X3 = X4) )),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f36,plain,(
% 0.46/1.14    6 = a(z1)),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f37,plain,(
% 0.46/1.14    10 = a(z2)),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f39,plain,(
% 0.46/1.14    $less(b(z2),3)),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f40,plain,(
% 0.46/1.14    5 = b(z3)),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  tff(f41,plain,(
% 0.46/1.14    $less(z2,z1)),
% 0.46/1.14    inference(cnf_transformation,[],[f19])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_61,negated_conjecture,
% 0.46/1.14      ($less_int(z2,z1)),
% 0.46/1.14      inference(cnf_transformation,[],[f41])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_62,negated_conjecture,
% 0.46/1.14      (b(z3) = 5),
% 0.46/1.14      inference(cnf_transformation,[],[f40])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_63,negated_conjecture,
% 0.46/1.14      ($less_int(b(z2),3)),
% 0.46/1.14      inference(cnf_transformation,[],[f39])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_65,negated_conjecture,
% 0.46/1.14      (a(z2) = 10),
% 0.46/1.14      inference(cnf_transformation,[],[f37])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_66,negated_conjecture,
% 0.46/1.14      (a(z1) = 6),
% 0.46/1.14      inference(cnf_transformation,[],[f36])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_68,negated_conjecture,
% 0.46/1.14      (a(X1_3) != 10|a(X2_3) != 6|b(X0_3) != 5|~$less_int(b(X1_3),3)|~$less_int(X1_3,X2_3)|
% 0.46/1.14      X0_3 = X1_3|X0_3 = X2_3|X1_3 = X2_3),
% 0.46/1.14      inference(cnf_transformation,[],[f34])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_75,negated_conjecture,
% 0.46/1.14      (z2 != z3),
% 0.46/1.14      inference(cnf_transformation,[],[f27])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_77,negated_conjecture,
% 0.46/1.14      (z1 != z3),
% 0.46/1.14      inference(cnf_transformation,[],[f25])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_78,negated_conjecture,
% 0.46/1.14      (z1 != z2),
% 0.46/1.14      inference(cnf_transformation,[],[f24])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_1474,plain,
% 0.46/1.14      (a(X0_3) != 6|b(X1_3) != 5|~$less_int(b(z2),3)|~$less_int(z2,X0_3)|
% 0.46/1.14      X0_3 = X1_3|X0_3 = z2|X1_3 = z2),
% 0.46/1.14      inference(superposition,[status(thm)],[c_65,c_68])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_1476,plain,
% 0.46/1.14      (a(X0_3) != 6|b(X1_3) != 5|~$less_int(z2,X0_3)|X0_3 = X1_3|X0_3 = z2|
% 0.46/1.14      X1_3 = z2),
% 0.46/1.14      inference(forward_subsumption_resolution,[status(thm)],[c_1474,c_63])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_2122,plain,
% 0.46/1.14      (b(X0_3) != 5|~$less_int(z2,z1)|X0_3 = z1|X0_3 = z2|z1 = z2),
% 0.46/1.14      inference(superposition,[status(thm)],[c_66,c_1476])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_2123,plain,
% 0.46/1.14      (b(X0_3) != 5|X0_3 = z1|X0_3 = z2),
% 0.46/1.14      inference(forward_subsumption_resolution,
% 0.46/1.14                [status(thm)],
% 0.46/1.14                [c_2122,c_78,c_61])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_2141,plain,
% 0.46/1.14      (z1 = z3|z2 = z3),
% 0.46/1.14      inference(superposition,[status(thm)],[c_62,c_2123])).
% 0.46/1.14  
% 0.46/1.14  cnf(c_2142,plain,
% 0.46/1.14      ($false),
% 0.46/1.14      inference(forward_subsumption_resolution,
% 0.46/1.14                [status(thm)],
% 0.46/1.14                [c_2141,c_75,c_77])).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  % SZS output end CNFRefutation for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  
%------------------------------------------------------------------------------