TSTP Solution File: COL100-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 7.75s 1.63s
% Output   : CNFRefutation 7.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   34 (   8 unt;   0 nHn;  33 RR)
%            Number of literals    :   82 (   3 equ;  52 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   :   61 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_55,plain,
    ( ~ member(pair(X0,X1),X2)
    | member(pair(X0,X1),trancl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

cnf(c_56,plain,
    trans(trancl(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).

cnf(c_57,plain,
    ( ~ member(pair(X0,X1),X2)
    | ~ member(pair(X1,X3),X2)
    | ~ trans(X2)
    | member(pair(X0,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

cnf(c_58,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/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

cnf(c_59,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/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

cnf(c_60,plain,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).

cnf(c_62,plain,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).

cnf(c_63,plain,
    ( ~ member(pair(y,X0),trancl(r))
    | member(pair(ya,sk1(X0)),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).

cnf(c_64,plain,
    ( ~ member(pair(y,X0),trancl(r))
    | member(pair(X0,sk1(X0)),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).

cnf(c_65,negated_conjecture,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).

cnf(c_66,negated_conjecture,
    ( ~ member(pair(z,X0),trancl(r))
    | ~ member(pair(yp,X0),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).

cnf(c_151,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_56,c_57]) ).

cnf(c_152,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X1,X3),trancl(X2))
    | member(pair(X0,X3),trancl(X2)) ),
    inference(unflattening,[status(thm)],[c_151]) ).

cnf(c_165,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_59,c_60]) ).

cnf(c_166,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_165]) ).

cnf(c_177,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_58,c_60]) ).

cnf(c_178,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_177]) ).

cnf(c_469,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X3,X0),X2)
    | member(pair(X3,X1),trancl(X2)) ),
    inference(superposition,[status(thm)],[c_55,c_152]) ).

cnf(c_471,plain,
    ( ~ member(pair(sk1(X0),X1),trancl(r))
    | ~ member(pair(y,X0),trancl(r))
    | member(pair(ya,X1),trancl(r)) ),
    inference(superposition,[status(thm)],[c_63,c_152]) ).

cnf(c_472,plain,
    ( ~ member(pair(sk1(X0),X1),trancl(r))
    | ~ member(pair(y,X0),trancl(r))
    | member(pair(X0,X1),trancl(r)) ),
    inference(superposition,[status(thm)],[c_64,c_152]) ).

cnf(c_473,plain,
    ( ~ member(pair(yp,X0),trancl(r))
    | member(pair(y,X0),trancl(r)) ),
    inference(superposition,[status(thm)],[c_65,c_152]) ).

cnf(c_505,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(ya,sk1(yp)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_512,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(y,sk1(yp)),trancl(r)) ),
    inference(superposition,[status(thm)],[c_64,c_473]) ).

cnf(c_516,plain,
    member(pair(y,sk1(yp)),trancl(r)),
    inference(global_subsumption_just,[status(thm)],[c_512,c_65,c_512]) ).

cnf(c_676,plain,
    ( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,z,r)),trancl(r))
    | ~ member(pair(X0,X1),trancl(r))
    | ~ member(pair(X0,z),r) ),
    inference(superposition,[status(thm)],[c_178,c_66]) ).

cnf(c_744,plain,
    ( ~ member(pair(X0,y),r)
    | member(pair(X0,sk1(yp)),trancl(r)) ),
    inference(superposition,[status(thm)],[c_516,c_469]) ).

cnf(c_1460,plain,
    ( ~ member(pair(sk1(X0),y),r)
    | ~ member(pair(y,X0),trancl(r))
    | member(pair(ya,sk1(yp)),trancl(r)) ),
    inference(superposition,[status(thm)],[c_744,c_471]) ).

cnf(c_1471,plain,
    member(pair(ya,sk1(yp)),trancl(r)),
    inference(global_subsumption_just,[status(thm)],[c_1460,c_65,c_505]) ).

cnf(c_1546,plain,
    ( ~ member(pair(sk1(X0),X1),r)
    | ~ member(pair(y,X0),trancl(r))
    | member(pair(X0,X1),trancl(r)) ),
    inference(superposition,[status(thm)],[c_55,c_472]) ).

cnf(c_11319,plain,
    ( ~ member(pair(sk1(yp),X0),r)
    | member(pair(yp,X0),trancl(r)) ),
    inference(superposition,[status(thm)],[c_65,c_1546]) ).

cnf(c_12856,plain,
    ( ~ member(pair(X0,sk1(yp)),trancl(r))
    | ~ member(pair(X0,X1),r)
    | member(pair(yp,diamond_strip_lemmaD_sk1(X0,sk1(yp),X1,r)),trancl(r)) ),
    inference(superposition,[status(thm)],[c_166,c_11319]) ).

cnf(c_13056,plain,
    ( ~ member(pair(X0,sk1(yp)),trancl(r))
    | ~ member(pair(X0,z),r) ),
    inference(superposition,[status(thm)],[c_12856,c_676]) ).

cnf(c_13154,plain,
    ~ member(pair(ya,z),r),
    inference(superposition,[status(thm)],[c_1471,c_13056]) ).

cnf(c_13163,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13154,c_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n009.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 21:20:40 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.75/1.63  % SZS status Started for theBenchmark.p
% 7.75/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.75/1.63  
% 7.75/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.75/1.63  
% 7.75/1.63  ------  iProver source info
% 7.75/1.63  
% 7.75/1.63  git: date: 2024-05-02 19:28:25 +0000
% 7.75/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.75/1.63  git: non_committed_changes: false
% 7.75/1.63  
% 7.75/1.63  ------ Parsing...successful
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 7.75/1.63  
% 7.75/1.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.75/1.63  
% 7.75/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.75/1.63  ------ Proving...
% 7.75/1.63  ------ Problem Properties 
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  clauses                                 15
% 7.75/1.63  conjectures                             2
% 7.75/1.63  EPR                                     1
% 7.75/1.63  Horn                                    15
% 7.75/1.63  unary                                   6
% 7.75/1.63  binary                                  6
% 7.75/1.63  lits                                    27
% 7.75/1.63  lits eq                                 7
% 7.75/1.63  fd_pure                                 0
% 7.75/1.63  fd_pseudo                               0
% 7.75/1.63  fd_cond                                 0
% 7.75/1.63  fd_pseudo_cond                          2
% 7.75/1.63  AC symbols                              0
% 7.75/1.63  
% 7.75/1.63  ------ Input Options Time Limit: Unbounded
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  ------ 
% 7.75/1.63  Current options:
% 7.75/1.63  ------ 
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  ------ Proving...
% 7.75/1.63  
% 7.75/1.63  
% 7.75/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.75/1.63  
% 7.75/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.75/1.63  
% 7.75/1.63  
%------------------------------------------------------------------------------