TSTP Solution File: COL098-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 3.91s 1.13s
% Output   : CNFRefutation 3.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (   4 unt;   0 nHn;  29 RR)
%            Number of literals    :   69 (   1 equ;  41 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   36 (   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),r)
    | ~ member(pair(X0,X2),r)
    | member(pair(X1,sk1(X0,X1,X2)),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).

cnf(c_59,plain,
    ( ~ member(pair(X0,X1),r)
    | ~ member(pair(X0,X2),r)
    | member(pair(X2,sk1(X0,X1,X2)),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).

cnf(c_61,plain,
    member(pair(y,z),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).

cnf(c_62,plain,
    ( ~ member(pair(x,X0),r)
    | member(pair(X0,sk2(X0)),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).

cnf(c_63,plain,
    ( ~ member(pair(x,X0),r)
    | member(pair(y,sk2(X0)),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).

cnf(c_64,negated_conjecture,
    member(pair(x,sk3),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).

cnf(c_65,negated_conjecture,
    ( ~ member(pair(sk3,X0),trancl(r))
    | ~ member(pair(z,X0),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).

cnf(c_142,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_143,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X1,X3),trancl(X2))
    | member(pair(X0,X3),trancl(X2)) ),
    inference(unflattening,[status(thm)],[c_142]) ).

cnf(c_393,plain,
    ( ~ member(pair(x,sk3),r)
    | member(pair(sk3,sk2(sk3)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_394,plain,
    ( ~ member(pair(x,sk3),r)
    | member(pair(y,sk2(sk3)),r) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_438,plain,
    ( ~ member(pair(y,sk2(sk3)),r)
    | ~ member(pair(y,X0),r)
    | member(pair(sk2(sk3),sk1(y,sk2(sk3),X0)),r) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_439,plain,
    ( ~ member(pair(y,sk2(sk3)),r)
    | ~ member(pair(y,X0),r)
    | member(pair(X0,sk1(y,sk2(sk3),X0)),r) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_456,plain,
    ( ~ member(pair(sk2(sk3),X0),trancl(r))
    | ~ member(pair(sk3,sk2(sk3)),trancl(r))
    | member(pair(sk3,X0),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_458,plain,
    ( ~ member(pair(sk2(sk3),X0),trancl(r))
    | member(pair(sk3,X0),trancl(r)) ),
    inference(global_subsumption_just,[status(thm)],[c_456,c_64,c_393,c_456]) ).

cnf(c_515,plain,
    ( ~ member(pair(y,sk2(sk3)),r)
    | ~ member(pair(y,X0),r)
    | member(pair(sk2(sk3),sk1(y,sk2(sk3),X0)),r) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_516,plain,
    ( ~ member(pair(y,sk2(sk3)),r)
    | ~ member(pair(y,X0),r)
    | member(pair(X0,sk1(y,sk2(sk3),X0)),r) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_517,plain,
    ( ~ member(pair(y,X0),r)
    | member(pair(X0,sk1(y,sk2(sk3),X0)),r) ),
    inference(global_subsumption_just,[status(thm)],[c_516,c_64,c_394,c_439]) ).

cnf(c_519,plain,
    ( ~ member(pair(y,X0),r)
    | member(pair(sk2(sk3),sk1(y,sk2(sk3),X0)),r) ),
    inference(global_subsumption_just,[status(thm)],[c_515,c_64,c_394,c_438]) ).

cnf(c_584,plain,
    ( ~ member(pair(y,z),r)
    | member(pair(z,sk1(y,sk2(sk3),z)),r) ),
    inference(instantiation,[status(thm)],[c_517]) ).

cnf(c_588,plain,
    ( ~ member(pair(y,z),r)
    | member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r) ),
    inference(instantiation,[status(thm)],[c_519]) ).

cnf(c_696,plain,
    ( ~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r))
    | ~ member(pair(z,sk1(y,sk2(sk3),z)),r) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_717,plain,
    ( ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r)
    | member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_949,plain,
    ( ~ member(pair(sk2(sk3),X0),trancl(r))
    | ~ member(pair(sk3,sk2(sk3)),trancl(r))
    | member(pair(sk3,X0),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_950,plain,
    ( ~ member(pair(sk2(sk3),X0),trancl(r))
    | member(pair(sk3,X0),trancl(r)) ),
    inference(global_subsumption_just,[status(thm)],[c_949,c_458]) ).

cnf(c_1241,plain,
    ( ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r))
    | member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)) ),
    inference(instantiation,[status(thm)],[c_950]) ).

cnf(c_1242,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1241,c_717,c_696,c_588,c_584,c_61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 21:32:03 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  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
% 3.91/1.13  % SZS status Started for theBenchmark.p
% 3.91/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.91/1.13  
% 3.91/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.91/1.13  
% 3.91/1.13  ------  iProver source info
% 3.91/1.13  
% 3.91/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.91/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.91/1.13  git: non_committed_changes: false
% 3.91/1.13  
% 3.91/1.13  ------ Parsing...successful
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.91/1.13  
% 3.91/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.91/1.13  
% 3.91/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.91/1.13  ------ Proving...
% 3.91/1.13  ------ Problem Properties 
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  clauses                                 15
% 3.91/1.13  conjectures                             2
% 3.91/1.13  EPR                                     1
% 3.91/1.13  Horn                                    15
% 3.91/1.13  unary                                   6
% 3.91/1.13  binary                                  6
% 3.91/1.13  lits                                    27
% 3.91/1.13  lits eq                                 7
% 3.91/1.13  fd_pure                                 0
% 3.91/1.13  fd_pseudo                               0
% 3.91/1.13  fd_cond                                 0
% 3.91/1.13  fd_pseudo_cond                          2
% 3.91/1.13  AC symbols                              0
% 3.91/1.13  
% 3.91/1.13  ------ Input Options Time Limit: Unbounded
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  ------ 
% 3.91/1.13  Current options:
% 3.91/1.13  ------ 
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  ------ Proving...
% 3.91/1.13  
% 3.91/1.13  
% 3.91/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.91/1.13  
% 3.91/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/1.13  
% 3.91/1.13  
%------------------------------------------------------------------------------