TSTP Solution File: LCL067-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 02:36:44 EDT 2024

% Result   : Unsatisfiable 7.87s 1.66s
% Output   : CNFRefutation 7.87s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).

cnf(c_51,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).

cnf(c_52,plain,
    is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_59) ).

cnf(c_53,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).

cnf(c_71,plain,
    implies(a,b) = sP0_iProver_def,
    definition ).

cnf(c_72,plain,
    implies(b,c) = sP1_iProver_def,
    definition ).

cnf(c_73,plain,
    implies(a,c) = sP2_iProver_def,
    definition ).

cnf(c_74,plain,
    implies(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_75,plain,
    implies(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_76,negated_conjecture,
    ~ is_a_theorem(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_53,c_73,c_72,c_74,c_71,c_75]) ).

cnf(c_209,plain,
    is_a_theorem(implies(implies(sP2_iProver_def,X0),implies(c,X0))),
    inference(superposition,[status(thm)],[c_73,c_50]) ).

cnf(c_210,plain,
    is_a_theorem(implies(implies(sP3_iProver_def,X0),implies(sP2_iProver_def,X0))),
    inference(superposition,[status(thm)],[c_74,c_50]) ).

cnf(c_216,plain,
    is_a_theorem(implies(implies(implies(X0,sP0_iProver_def),sP3_iProver_def),sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_75,c_50]) ).

cnf(c_217,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_240,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(not(X0),X2)) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_262,plain,
    is_a_theorem(implies(implies(not(a),X0),implies(implies(b,X0),implies(sP0_iProver_def,X0)))),
    inference(superposition,[status(thm)],[c_71,c_52]) ).

cnf(c_263,plain,
    is_a_theorem(implies(implies(not(b),X0),implies(implies(c,X0),implies(sP1_iProver_def,X0)))),
    inference(superposition,[status(thm)],[c_72,c_52]) ).

cnf(c_267,plain,
    ( ~ is_a_theorem(implies(not(X0),X1))
    | is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_366,plain,
    ( ~ is_a_theorem(implies(sP2_iProver_def,X0))
    | is_a_theorem(implies(c,X0)) ),
    inference(superposition,[status(thm)],[c_209,c_49]) ).

cnf(c_377,plain,
    ( ~ is_a_theorem(implies(sP3_iProver_def,X0))
    | is_a_theorem(implies(sP2_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_210,c_49]) ).

cnf(c_513,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_50,c_217]) ).

cnf(c_525,plain,
    is_a_theorem(implies(sP3_iProver_def,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_216,c_217]) ).

cnf(c_660,plain,
    is_a_theorem(implies(sP2_iProver_def,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_525,c_377]) ).

cnf(c_664,plain,
    is_a_theorem(implies(c,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_660,c_366]) ).

cnf(c_698,plain,
    is_a_theorem(implies(not(implies(X0,sP0_iProver_def)),sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_216,c_240]) ).

cnf(c_705,plain,
    is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_513,c_240]) ).

cnf(c_1226,plain,
    is_a_theorem(implies(not(a),implies(X0,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_73,c_705]) ).

cnf(c_1227,plain,
    is_a_theorem(implies(not(sP1_iProver_def),implies(X0,sP3_iProver_def))),
    inference(superposition,[status(thm)],[c_74,c_705]) ).

cnf(c_1265,plain,
    is_a_theorem(implies(not(a),sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_74,c_1226]) ).

cnf(c_1272,plain,
    is_a_theorem(implies(not(sP1_iProver_def),sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_75,c_1227]) ).

cnf(c_1404,plain,
    is_a_theorem(implies(implies(not(a),sP3_iProver_def),implies(implies(b,sP3_iProver_def),sP4_iProver_def))),
    inference(superposition,[status(thm)],[c_75,c_262]) ).

cnf(c_1481,plain,
    ( ~ is_a_theorem(implies(not(b),X0))
    | is_a_theorem(implies(implies(c,X0),implies(sP1_iProver_def,X0))) ),
    inference(superposition,[status(thm)],[c_263,c_49]) ).

cnf(c_1567,plain,
    ( ~ is_a_theorem(implies(not(a),sP3_iProver_def))
    | is_a_theorem(implies(implies(b,sP3_iProver_def),sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_1404,c_49]) ).

cnf(c_1570,plain,
    is_a_theorem(implies(implies(b,sP3_iProver_def),sP4_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1567,c_1265]) ).

cnf(c_1572,plain,
    is_a_theorem(implies(not(b),sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_1570,c_240]) ).

cnf(c_2067,plain,
    ( ~ is_a_theorem(implies(not(X0),X1))
    | ~ is_a_theorem(implies(X2,X1))
    | is_a_theorem(implies(implies(X0,X2),X1)) ),
    inference(superposition,[status(thm)],[c_267,c_49]) ).

cnf(c_2754,plain,
    ( ~ is_a_theorem(implies(not(b),X0))
    | ~ is_a_theorem(implies(c,X0))
    | is_a_theorem(implies(sP1_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_1481,c_49]) ).

cnf(c_2854,plain,
    ( ~ is_a_theorem(implies(not(X0),X1))
    | ~ is_a_theorem(implies(X0,X2))
    | ~ is_a_theorem(implies(X2,X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_2067,c_49]) ).

cnf(c_5767,plain,
    ( ~ is_a_theorem(implies(c,sP4_iProver_def))
    | is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_1572,c_2754]) ).

cnf(c_5781,plain,
    is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_5767,c_664]) ).

cnf(c_6724,plain,
    ( ~ is_a_theorem(implies(X0,sP4_iProver_def))
    | ~ is_a_theorem(implies(sP1_iProver_def,X0))
    | is_a_theorem(sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_1272,c_2854]) ).

cnf(c_6786,plain,
    ( ~ is_a_theorem(implies(X0,sP4_iProver_def))
    | ~ is_a_theorem(implies(sP1_iProver_def,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6724,c_76]) ).

cnf(c_7818,plain,
    ~ is_a_theorem(implies(implies(X0,sP1_iProver_def),sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_513,c_6786]) ).

cnf(c_8148,plain,
    ( ~ is_a_theorem(implies(not(X0),sP4_iProver_def))
    | ~ is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_2067,c_7818]) ).

cnf(c_8151,plain,
    ~ is_a_theorem(implies(not(X0),sP4_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_8148,c_5781]) ).

cnf(c_8152,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_698,c_8151]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 19:14:42 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 7.87/1.66  % SZS status Started for theBenchmark.p
% 7.87/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.66  
% 7.87/1.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.87/1.66  
% 7.87/1.66  ------  iProver source info
% 7.87/1.66  
% 7.87/1.66  git: date: 2024-05-02 19:28:25 +0000
% 7.87/1.66  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.87/1.66  git: non_committed_changes: false
% 7.87/1.66  
% 7.87/1.66  ------ Parsing...successful
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.87/1.66  
% 7.87/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.87/1.66  
% 7.87/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.87/1.66  ------ Proving...
% 7.87/1.66  ------ Problem Properties 
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  clauses                                 10
% 7.87/1.66  conjectures                             1
% 7.87/1.66  EPR                                     1
% 7.87/1.66  Horn                                    10
% 7.87/1.66  unary                                   9
% 7.87/1.66  binary                                  0
% 7.87/1.66  lits                                    12
% 7.87/1.66  lits eq                                 5
% 7.87/1.66  fd_pure                                 0
% 7.87/1.66  fd_pseudo                               0
% 7.87/1.66  fd_cond                                 0
% 7.87/1.66  fd_pseudo_cond                          0
% 7.87/1.66  AC symbols                              0
% 7.87/1.66  
% 7.87/1.66  ------ Schedule dynamic 5 is on 
% 7.87/1.66  
% 7.87/1.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  ------ 
% 7.87/1.66  Current options:
% 7.87/1.66  ------ 
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  ------ Proving...
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.66  
% 7.87/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.67  
% 7.87/1.67  
%------------------------------------------------------------------------------