TSTP Solution File: SWC098-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:11:13 EDT 2024

% Result   : Unsatisfiable 3.43s 0.98s
% Output   : CNFRefutation 3.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    ( cons(X0,nil) != sk1
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | ssItem(sk5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( cons(X0,nil) != sk1
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | memberP(sk2,sk5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( cons(X0,nil) != sk1
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | leq(X0,sk5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( cons(X0,nil) != sk1
    | sk5(X0) != X0
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk1 != nil
    | sk2 != nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( sk4 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( sk4 = nil
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( sk3 = nil
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

cnf(c_1749,plain,
    ( sk3 != nil
    | sk4 != nil ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_2004,plain,
    ( cons(X0,nil) != sk3
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | ssItem(sk5(X0)) ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_2137,plain,
    ( cons(X0,nil) != sk3
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | leq(X0,sk5(X0)) ),
    inference(light_normalisation,[status(thm)],[c_57,c_53,c_54]) ).

cnf(c_2146,plain,
    ( cons(X0,nil) != sk3
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | memberP(sk4,sk5(X0)) ),
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_2315,plain,
    ( cons(X0,nil) != sk3
    | sk5(X0) != X0
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0) ),
    inference(light_normalisation,[status(thm)],[c_58,c_53,c_54]) ).

cnf(c_3551,plain,
    ( X0 = sk6
    | ~ ssItem(X0)
    | ~ leq(sk6,X0)
    | ~ memberP(sk4,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_67,c_64,c_1749]) ).

cnf(c_3552,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | X0 = sk6 ),
    inference(renaming,[status(thm)],[c_3551]) ).

cnf(c_3554,negated_conjecture,
    memberP(sk4,sk6),
    inference(global_subsumption_just,[status(thm)],[c_66,c_66,c_63,c_1749]) ).

cnf(c_3556,negated_conjecture,
    cons(sk6,nil) = sk3,
    inference(global_subsumption_just,[status(thm)],[c_65,c_65,c_62,c_1749]) ).

cnf(c_3558,plain,
    ( X0 = sk6
    | ~ ssItem(X0)
    | ~ leq(sk6,X0)
    | ~ memberP(sk4,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_3552]) ).

cnf(c_3559,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | X0 = sk6 ),
    inference(renaming,[status(thm)],[c_3558]) ).

cnf(c_3560,negated_conjecture,
    memberP(sk4,sk6),
    inference(global_subsumption_just,[status(thm)],[c_63,c_3554]) ).

cnf(c_3562,negated_conjecture,
    cons(sk6,nil) = sk3,
    inference(global_subsumption_just,[status(thm)],[c_62,c_3556]) ).

cnf(c_3564,negated_conjecture,
    ssItem(sk6),
    inference(global_subsumption_just,[status(thm)],[c_61,c_61,c_60,c_1749]) ).

cnf(c_3566,negated_conjecture,
    ssItem(sk6),
    inference(global_subsumption_just,[status(thm)],[c_60,c_3564]) ).

cnf(c_9539,plain,
    cons(sk6,nil) = sP2_iProver_def,
    definition ).

cnf(c_9540,negated_conjecture,
    ssItem(sk6),
    inference(demodulation,[status(thm)],[c_3566]) ).

cnf(c_9541,negated_conjecture,
    sP2_iProver_def = sk3,
    inference(demodulation,[status(thm)],[c_3562,c_9539]) ).

cnf(c_9542,negated_conjecture,
    memberP(sk4,sk6),
    inference(demodulation,[status(thm)],[c_3560]) ).

cnf(c_9543,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ leq(sk6,X0)
    | ~ ssItem(X0)
    | X0 = sk6 ),
    inference(demodulation,[status(thm)],[c_3559]) ).

cnf(c_12148,plain,
    ( cons(X0,nil) != sP2_iProver_def
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | ssItem(sk5(X0)) ),
    inference(light_normalisation,[status(thm)],[c_2004,c_9541]) ).

cnf(c_12157,plain,
    ( cons(X0,nil) != sP2_iProver_def
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | leq(X0,sk5(X0)) ),
    inference(light_normalisation,[status(thm)],[c_2137,c_9541]) ).

cnf(c_12166,plain,
    ( cons(X0,nil) != sP2_iProver_def
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | memberP(sk4,sk5(X0)) ),
    inference(light_normalisation,[status(thm)],[c_2146,c_9541]) ).

cnf(c_12175,plain,
    ( cons(X0,nil) != sP2_iProver_def
    | sk5(X0) != X0
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0) ),
    inference(light_normalisation,[status(thm)],[c_2315,c_9541]) ).

cnf(c_12188,plain,
    ( sk5(sk6) != sk6
    | ~ memberP(sk4,sk6)
    | ~ ssItem(sk6) ),
    inference(superposition,[status(thm)],[c_9539,c_12175]) ).

cnf(c_12189,plain,
    ( ~ memberP(sk4,sk6)
    | ~ ssItem(sk6)
    | memberP(sk4,sk5(sk6)) ),
    inference(superposition,[status(thm)],[c_9539,c_12166]) ).

cnf(c_12190,plain,
    ( ~ memberP(sk4,sk6)
    | ~ ssItem(sk6)
    | leq(sk6,sk5(sk6)) ),
    inference(superposition,[status(thm)],[c_9539,c_12157]) ).

cnf(c_12191,plain,
    ( ~ memberP(sk4,sk6)
    | ~ ssItem(sk6)
    | ssItem(sk5(sk6)) ),
    inference(superposition,[status(thm)],[c_9539,c_12148]) ).

cnf(c_12192,plain,
    ssItem(sk5(sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12191,c_9540,c_9542]) ).

cnf(c_12193,plain,
    leq(sk6,sk5(sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12190,c_9540,c_9542]) ).

cnf(c_12194,plain,
    memberP(sk4,sk5(sk6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12189,c_9540,c_9542]) ).

cnf(c_12195,plain,
    sk5(sk6) != sk6,
    inference(forward_subsumption_resolution,[status(thm)],[c_12188,c_9540,c_9542]) ).

cnf(c_12196,plain,
    ( ~ leq(sk6,sk5(sk6))
    | ~ ssItem(sk5(sk6))
    | sk5(sk6) = sk6 ),
    inference(superposition,[status(thm)],[c_12194,c_9543]) ).

cnf(c_12197,plain,
    sk5(sk6) = sk6,
    inference(forward_subsumption_resolution,[status(thm)],[c_12196,c_12192,c_12193]) ).

cnf(c_12201,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_12197,c_12195]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May  2 23:43:38 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  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
% 3.43/0.98  % SZS status Started for theBenchmark.p
% 3.43/0.98  % SZS status Unsatisfiable for theBenchmark.p
% 3.43/0.98  
% 3.43/0.98  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.43/0.98  
% 3.43/0.98  ------  iProver source info
% 3.43/0.98  
% 3.43/0.98  git: date: 2024-05-02 19:28:25 +0000
% 3.43/0.98  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.43/0.98  git: non_committed_changes: false
% 3.43/0.98  
% 3.43/0.98  ------ Parsing...successful
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.43/0.98  
% 3.43/0.98  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.43/0.98  
% 3.43/0.98  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.43/0.98  ------ Proving...
% 3.43/0.98  ------ Problem Properties 
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  clauses                                 191
% 3.43/0.98  conjectures                             8
% 3.43/0.98  EPR                                     61
% 3.43/0.98  Horn                                    163
% 3.43/0.98  unary                                   66
% 3.43/0.98  binary                                  22
% 3.43/0.98  lits                                    571
% 3.43/0.98  lits eq                                 81
% 3.43/0.98  fd_pure                                 0
% 3.43/0.98  fd_pseudo                               0
% 3.43/0.98  fd_cond                                 16
% 3.43/0.98  fd_pseudo_cond                          14
% 3.43/0.98  AC symbols                              0
% 3.43/0.98  
% 3.43/0.98  ------ Schedule dynamic 5 is on 
% 3.43/0.98  
% 3.43/0.98  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  ------ 
% 3.43/0.98  Current options:
% 3.43/0.98  ------ 
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  ------ Proving...
% 3.43/0.98  
% 3.43/0.98  
% 3.43/0.98  % SZS status Unsatisfiable for theBenchmark.p
% 3.43/0.98  
% 3.43/0.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.43/0.98  
% 3.43/0.99  
%------------------------------------------------------------------------------