TSTP Solution File: COL100-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL100-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 02:09:53 EDT 2024

% Result   : Unsatisfiable 196.94s 26.73s
% Output   : CNFRefutation 196.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (   5 unt;   0 nHn;  29 RR)
%            Number of literals    :   77 (   3 equ;  49 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   48 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_197,plain,
    ( ~ member(pair(X0,X1),X2)
    | member(pair(X0,X1),trancl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).

cnf(c_198,plain,
    trans(trancl(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).

cnf(c_199,plain,
    ( ~ member(pair(X0,X1),X2)
    | ~ member(pair(X1,X3),X2)
    | ~ trans(X2)
    | member(pair(X0,X3),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).

cnf(c_200,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X0,X3),X2)
    | ~ diamond(X2)
    | member(pair(X3,diamond_strip_lemmaD_sk1(X0,X1,X3,X2)),trancl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

cnf(c_201,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X0,X3),X2)
    | ~ diamond(X2)
    | member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X3,X2)),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

cnf(c_202,plain,
    diamond(r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h1) ).

cnf(c_204,plain,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).

cnf(c_205,plain,
    ( ~ member(pair(y,X0),trancl(r))
    | member(pair(ya,sk1(X0)),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h4) ).

cnf(c_206,plain,
    ( ~ member(pair(y,X0),trancl(r))
    | member(pair(X0,sk1(X0)),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h5) ).

cnf(c_207,negated_conjecture,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).

cnf(c_208,negated_conjecture,
    ( ~ member(pair(z,X0),trancl(r))
    | ~ member(pair(yp,X0),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c2) ).

cnf(c_1542,plain,
    ( trancl(X0) != X1
    | ~ member(pair(X2,X3),X1)
    | ~ member(pair(X3,X4),X1)
    | member(pair(X2,X4),X1) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_199]) ).

cnf(c_1543,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X1,X3),trancl(X2))
    | member(pair(X0,X3),trancl(X2)) ),
    inference(unflattening,[status(thm)],[c_1542]) ).

cnf(c_1556,plain,
    ( X0 != r
    | ~ member(pair(X1,X2),trancl(X0))
    | ~ member(pair(X1,X3),X0)
    | member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0) ),
    inference(resolution_lifted,[status(thm)],[c_201,c_202]) ).

cnf(c_1557,plain,
    ( ~ member(pair(X0,X1),trancl(r))
    | ~ member(pair(X0,X2),r)
    | member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),r) ),
    inference(unflattening,[status(thm)],[c_1556]) ).

cnf(c_1568,plain,
    ( X0 != r
    | ~ member(pair(X1,X2),trancl(X0))
    | ~ member(pair(X1,X3),X0)
    | member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_202]) ).

cnf(c_1569,plain,
    ( ~ member(pair(X0,X1),trancl(r))
    | ~ member(pair(X0,X2),r)
    | member(pair(X2,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),trancl(r)) ),
    inference(unflattening,[status(thm)],[c_1568]) ).

cnf(c_378600,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(ya,sk1(yp)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_205]) ).

cnf(c_378602,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(yp,sk1(yp)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_206]) ).

cnf(c_378620,plain,
    ( ~ member(pair(ya,X0),trancl(r))
    | ~ member(pair(ya,z),r)
    | member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r) ),
    inference(instantiation,[status(thm)],[c_1557]) ).

cnf(c_378626,plain,
    ( ~ member(pair(ya,X0),trancl(r))
    | ~ member(pair(ya,z),r)
    | member(pair(z,diamond_strip_lemmaD_sk1(ya,X0,z,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_1569]) ).

cnf(c_378634,plain,
    ( ~ member(pair(X0,X1),trancl(r))
    | ~ member(pair(yp,X0),trancl(r))
    | member(pair(yp,X1),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_1543]) ).

cnf(c_378648,plain,
    ( ~ member(pair(sk1(yp),X0),trancl(r))
    | ~ member(pair(yp,sk1(yp)),trancl(r))
    | member(pair(yp,X0),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_378634]) ).

cnf(c_378675,plain,
    ( ~ member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r)
    | member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_197]) ).

cnf(c_378749,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | ~ member(pair(ya,z),r)
    | member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r) ),
    inference(instantiation,[status(thm)],[c_378620]) ).

cnf(c_378969,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | ~ member(pair(ya,z),r)
    | member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_378626]) ).

cnf(c_378975,plain,
    ( ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r)
    | member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_378675]) ).

cnf(c_379417,plain,
    ( ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ member(pair(yp,sk1(yp)),trancl(r))
    | member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_378648]) ).

cnf(c_380521,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_208]) ).

cnf(c_380522,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_380521,c_379417,c_378975,c_378969,c_378749,c_378602,c_378600,c_207,c_204]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COL100-2 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:23:51 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 196.94/26.73  % SZS status Started for theBenchmark.p
% 196.94/26.73  % SZS status Unsatisfiable for theBenchmark.p
% 196.94/26.73  
% 196.94/26.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 196.94/26.73  
% 196.94/26.73  ------  iProver source info
% 196.94/26.73  
% 196.94/26.73  git: date: 2024-05-02 19:28:25 +0000
% 196.94/26.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 196.94/26.73  git: non_committed_changes: false
% 196.94/26.73  
% 196.94/26.73  ------ Parsing...successful
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  ------ Preprocessing... sup_sim: 0  sf_s  rm: 16 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe_e 
% 196.94/26.73  
% 196.94/26.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 196.94/26.73  
% 196.94/26.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 196.94/26.73  ------ Proving...
% 196.94/26.73  ------ Problem Properties 
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  clauses                                 130
% 196.94/26.73  conjectures                             2
% 196.94/26.73  EPR                                     7
% 196.94/26.73  Horn                                    106
% 196.94/26.73  unary                                   17
% 196.94/26.73  binary                                  75
% 196.94/26.73  lits                                    283
% 196.94/26.73  lits eq                                 50
% 196.94/26.73  fd_pure                                 0
% 196.94/26.73  fd_pseudo                               0
% 196.94/26.73  fd_cond                                 0
% 196.94/26.73  fd_pseudo_cond                          18
% 196.94/26.73  AC symbols                              0
% 196.94/26.73  
% 196.94/26.73  ------ Input Options Time Limit: Unbounded
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  ------ 
% 196.94/26.73  Current options:
% 196.94/26.73  ------ 
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  ------ Proving...
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  ------ Proving...
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  ------ Proving...
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  ------ Proving...
% 196.94/26.73  
% 196.94/26.73  
% 196.94/26.73  % SZS status Unsatisfiable for theBenchmark.p
% 196.94/26.73  
% 196.94/26.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 196.94/26.73  
% 196.94/26.73  
%------------------------------------------------------------------------------