TSTP Solution File: LCL433-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL433-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 02:37:51 EDT 2024

% Result   : Unsatisfiable 2.32s 1.19s
% Output   : CNFRefutation 2.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_50,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_51,negated_conjecture,
    ( ~ c_PropLog_Osat(v_F,X0,t_a)
    | c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_52,plain,
    ( ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2)
    | c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).

cnf(c_53,plain,
    ( ~ c_in(X0,X1,tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

cnf(c_54,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
    | ~ c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
    | c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

cnf(c_55,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
    | c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

cnf(c_56,plain,
    c_in(X0,c_insert(X0,X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(c_90,plain,
    c_PropLog_Othms(v_F,t_a) = sP0_iProver_def,
    definition ).

cnf(c_91,plain,
    tc_PropLog_Opl(t_a) = sP1_iProver_def,
    definition ).

cnf(c_92,plain,
    c_insert(v_x,v_F,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_93,plain,
    c_PropLog_Othms(sP2_iProver_def,t_a) = sP3_iProver_def,
    definition ).

cnf(c_94,negated_conjecture,
    ( ~ c_PropLog_Osat(v_F,X0,t_a)
    | c_in(X0,sP0_iProver_def,sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_51,c_91,c_90]) ).

cnf(c_95,negated_conjecture,
    ~ c_in(v_xa,sP3_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_92,c_93]) ).

cnf(c_96,negated_conjecture,
    c_PropLog_Osat(sP2_iProver_def,v_xa,t_a),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_279,plain,
    c_in(v_x,sP2_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_92,c_56]) ).

cnf(c_285,plain,
    ( ~ c_in(X0,sP2_iProver_def,tc_PropLog_Opl(t_a))
    | c_in(X0,sP3_iProver_def,tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_93,c_53]) ).

cnf(c_287,plain,
    ( ~ c_in(X0,sP2_iProver_def,sP1_iProver_def)
    | c_in(X0,sP3_iProver_def,sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_285,c_91]) ).

cnf(c_303,plain,
    ( ~ c_PropLog_Osat(c_insert(X0,X1,sP1_iProver_def),X2,t_a)
    | c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X2,t_a),t_a) ),
    inference(superposition,[status(thm)],[c_91,c_52]) ).

cnf(c_311,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a))
    | c_in(X0,c_PropLog_Othms(c_insert(X2,X1,sP1_iProver_def),t_a),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_91,c_55]) ).

cnf(c_313,plain,
    ( ~ c_in(X0,c_PropLog_Othms(X1,t_a),sP1_iProver_def)
    | c_in(X0,c_PropLog_Othms(c_insert(X2,X1,sP1_iProver_def),t_a),sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_311,c_91]) ).

cnf(c_326,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),sP3_iProver_def,tc_PropLog_Opl(t_a))
    | ~ c_in(X0,c_PropLog_Othms(sP2_iProver_def,t_a),tc_PropLog_Opl(t_a))
    | c_in(X1,c_PropLog_Othms(sP2_iProver_def,t_a),tc_PropLog_Opl(t_a)) ),
    inference(superposition,[status(thm)],[c_93,c_54]) ).

cnf(c_328,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),sP3_iProver_def,sP1_iProver_def)
    | ~ c_in(X0,sP3_iProver_def,sP1_iProver_def)
    | c_in(X1,sP3_iProver_def,sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_326,c_91,c_93]) ).

cnf(c_350,plain,
    c_in(v_x,sP3_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_279,c_287]) ).

cnf(c_365,plain,
    ( ~ c_PropLog_Osat(sP2_iProver_def,X0,t_a)
    | c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),t_a) ),
    inference(superposition,[status(thm)],[c_92,c_303]) ).

cnf(c_373,plain,
    ( ~ c_PropLog_Osat(sP2_iProver_def,X0,t_a)
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),sP0_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_365,c_94]) ).

cnf(c_385,plain,
    ( ~ c_in(X0,c_PropLog_Othms(v_F,t_a),sP1_iProver_def)
    | c_in(X0,c_PropLog_Othms(sP2_iProver_def,t_a),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_92,c_313]) ).

cnf(c_386,plain,
    ( ~ c_in(X0,sP0_iProver_def,sP1_iProver_def)
    | c_in(X0,sP3_iProver_def,sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_385,c_90,c_93]) ).

cnf(c_394,plain,
    ( ~ c_PropLog_Osat(sP2_iProver_def,X0,t_a)
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),sP3_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_373,c_386]) ).

cnf(c_408,plain,
    ( ~ c_PropLog_Osat(sP2_iProver_def,X0,t_a)
    | ~ c_in(v_x,sP3_iProver_def,sP1_iProver_def)
    | c_in(X0,sP3_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_394,c_328]) ).

cnf(c_409,plain,
    ( ~ c_PropLog_Osat(sP2_iProver_def,X0,t_a)
    | c_in(X0,sP3_iProver_def,sP1_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_408,c_350]) ).

cnf(c_417,plain,
    c_in(v_xa,sP3_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_96,c_409]) ).

cnf(c_418,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_417,c_95]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL433-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 18:55:19 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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
% 2.32/1.19  % SZS status Started for theBenchmark.p
% 2.32/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.32/1.19  
% 2.32/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.32/1.19  
% 2.32/1.19  ------  iProver source info
% 2.32/1.19  
% 2.32/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.32/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.32/1.19  git: non_committed_changes: false
% 2.32/1.19  
% 2.32/1.19  ------ Parsing...successful
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.32/1.19  
% 2.32/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.32/1.19  
% 2.32/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.32/1.19  ------ Proving...
% 2.32/1.19  ------ Problem Properties 
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  clauses                                 12
% 2.32/1.19  conjectures                             3
% 2.32/1.19  EPR                                     3
% 2.32/1.19  Horn                                    12
% 2.32/1.19  unary                                   7
% 2.32/1.19  binary                                  4
% 2.32/1.19  lits                                    18
% 2.32/1.19  lits eq                                 4
% 2.32/1.19  fd_pure                                 0
% 2.32/1.19  fd_pseudo                               0
% 2.32/1.19  fd_cond                                 0
% 2.32/1.19  fd_pseudo_cond                          0
% 2.32/1.19  AC symbols                              0
% 2.32/1.19  
% 2.32/1.19  ------ Schedule dynamic 5 is on 
% 2.32/1.19  
% 2.32/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  ------ 
% 2.32/1.19  Current options:
% 2.32/1.19  ------ 
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  ------ Proving...
% 2.32/1.19  
% 2.32/1.19  
% 2.32/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.32/1.19  
% 2.32/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.32/1.19  
% 2.32/1.19  
%------------------------------------------------------------------------------