TSTP Solution File: COL099-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL099-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 02:09:52 EDT 2024

% Result   : Unsatisfiable 4.03s 1.13s
% Output   : CNFRefutation 4.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   5 unt;   0 nHn;  16 RR)
%            Number of literals    :   39 (   2 equ;  28 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_197,plain,
    ( ~ member(pair(X0,X1),X2)
    | member(pair(X0,X1),trancl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

cnf(c_202,plain,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1h1) ).

cnf(c_203,plain,
    member(pair(y,ya),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1h2) ).

cnf(c_204,negated_conjecture,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1c1) ).

cnf(c_205,negated_conjecture,
    ( ~ member(pair(ya,X0),trancl(r))
    | ~ member(pair(yp,X0),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1c2) ).

cnf(c_2117,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_2118,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_2117]) ).

cnf(c_2129,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_2130,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_2129]) ).

cnf(c_6141,plain,
    ( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),trancl(r))
    | ~ member(pair(X0,X1),trancl(r))
    | ~ member(pair(X0,ya),r) ),
    inference(superposition,[status(thm)],[c_2130,c_205]) ).

cnf(c_6248,plain,
    ( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),r)
    | ~ member(pair(X0,X1),trancl(r))
    | ~ member(pair(X0,ya),r) ),
    inference(superposition,[status(thm)],[c_197,c_6141]) ).

cnf(c_6668,plain,
    ( ~ member(pair(X0,yp),trancl(r))
    | ~ member(pair(X0,ya),r) ),
    inference(superposition,[status(thm)],[c_2118,c_6248]) ).

cnf(c_10916,plain,
    ~ member(pair(y,ya),r),
    inference(superposition,[status(thm)],[c_204,c_6668]) ).

cnf(c_10926,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_203,c_10916]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : COL099-2 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n031.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May  2 22:00:01 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.18/0.43  Running first-order theorem proving
% 0.18/0.43  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
% 4.03/1.13  % SZS status Started for theBenchmark.p
% 4.03/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.13  
% 4.03/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.03/1.13  
% 4.03/1.13  ------  iProver source info
% 4.03/1.13  
% 4.03/1.13  git: date: 2024-05-02 19:28:25 +0000
% 4.03/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.03/1.13  git: non_committed_changes: false
% 4.03/1.13  
% 4.03/1.13  ------ Parsing...successful
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  ------ 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 
% 4.03/1.13  
% 4.03/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.03/1.13  
% 4.03/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.03/1.13  ------ Proving...
% 4.03/1.13  ------ Problem Properties 
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  clauses                                 127
% 4.03/1.13  conjectures                             2
% 4.03/1.13  EPR                                     7
% 4.03/1.13  Horn                                    103
% 4.03/1.13  unary                                   16
% 4.03/1.13  binary                                  73
% 4.03/1.13  lits                                    278
% 4.03/1.13  lits eq                                 50
% 4.03/1.13  fd_pure                                 0
% 4.03/1.13  fd_pseudo                               0
% 4.03/1.13  fd_cond                                 0
% 4.03/1.13  fd_pseudo_cond                          18
% 4.03/1.13  AC symbols                              0
% 4.03/1.13  
% 4.03/1.13  ------ Input Options Time Limit: Unbounded
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  ------ 
% 4.03/1.13  Current options:
% 4.03/1.13  ------ 
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  ------ Proving...
% 4.03/1.13  
% 4.03/1.13  
% 4.03/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.13  
% 4.03/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.13  
% 4.03/1.13  
%------------------------------------------------------------------------------