TSTP Solution File: SWC407-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Thu Aug 31 20:43:11 EDT 2023

% Result   : Unsatisfiable 0.46s 1.14s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (   9 unt;  30 nHn;  40 RR)
%            Number of literals    :   97 (  54 equ;  26 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

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

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

cnf(c_55,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk4 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( sk4 = nil
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

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

cnf(c_63,negated_conjecture,
    ( sk3 = nil
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_71,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_134,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_224,plain,
    ( ~ memberP(cons(X0,X1),X2)
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | ~ ssItem(X2)
    | X0 = X2
    | memberP(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).

cnf(c_1571,plain,
    ( sk1 = nil
    | ssItem(sk6) ),
    inference(light_normalisation,[status(thm)],[c_59,c_54]) ).

cnf(c_1576,plain,
    ( sk2 = nil
    | ssItem(sk6) ),
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_1631,plain,
    ( sk1 = nil
    | memberP(sk2,sk6) ),
    inference(light_normalisation,[status(thm)],[c_63,c_53,c_54]) ).

cnf(c_1636,plain,
    ( sk2 = nil
    | memberP(sk2,sk6) ),
    inference(light_normalisation,[status(thm)],[c_61,c_53]) ).

cnf(c_1685,plain,
    ( cons(sk6,nil) = sk1
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_62,c_54]) ).

cnf(c_1690,plain,
    ( cons(sk6,nil) = sk1
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_60,c_53,c_54]) ).

cnf(c_9025,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | X0 = sk6
    | sk1 = nil
    | memberP(nil,X0) ),
    inference(superposition,[status(thm)],[c_1685,c_224]) ).

cnf(c_9026,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | X0 = sk6
    | sk2 = nil
    | memberP(nil,X0) ),
    inference(superposition,[status(thm)],[c_1690,c_224]) ).

cnf(c_9057,plain,
    ( sk2 = nil
    | X0 = sk6
    | ~ ssItem(X0)
    | ~ memberP(sk1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9026,c_71,c_134,c_1576,c_9026]) ).

cnf(c_9058,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_9057]) ).

cnf(c_9068,plain,
    ( ~ ssItem(sk5)
    | sk2 = nil
    | sk5 = sk6 ),
    inference(superposition,[status(thm)],[c_56,c_9058]) ).

cnf(c_9071,plain,
    ( sk1 = nil
    | X0 = sk6
    | ~ ssItem(X0)
    | ~ memberP(sk1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9025,c_71,c_134,c_1571,c_9025]) ).

cnf(c_9072,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk1 = nil ),
    inference(renaming,[status(thm)],[c_9071]) ).

cnf(c_9082,plain,
    ( ~ ssItem(sk5)
    | sk1 = nil
    | sk5 = sk6 ),
    inference(superposition,[status(thm)],[c_56,c_9072]) ).

cnf(c_9122,plain,
    ( sk2 = nil
    | sk5 = sk6 ),
    inference(global_subsumption_just,[status(thm)],[c_9068,c_55,c_9068]) ).

cnf(c_9169,plain,
    ( sk1 = nil
    | sk5 = sk6 ),
    inference(global_subsumption_just,[status(thm)],[c_9082,c_55,c_9082]) ).

cnf(c_9175,plain,
    ( sk1 = sk2
    | sk5 = sk6 ),
    inference(superposition,[status(thm)],[c_9122,c_9169]) ).

cnf(c_9289,plain,
    ( sk1 = sk2
    | sk1 = nil
    | memberP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_9175,c_1631]) ).

cnf(c_9290,plain,
    ( sk1 = sk2
    | sk2 = nil
    | memberP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_9175,c_1636]) ).

cnf(c_9329,plain,
    ( sk2 = nil
    | sk1 = sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_9290,c_57,c_9290]) ).

cnf(c_9330,plain,
    ( sk1 = sk2
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_9329]) ).

cnf(c_9363,plain,
    ( sk1 = nil
    | sk1 = sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_9289,c_57,c_9289]) ).

cnf(c_9364,plain,
    ( sk1 = sk2
    | sk1 = nil ),
    inference(renaming,[status(thm)],[c_9363]) ).

cnf(c_9371,plain,
    sk1 = sk2,
    inference(superposition,[status(thm)],[c_9364,c_9330]) ).

cnf(c_9389,plain,
    ~ memberP(sk1,sk5),
    inference(demodulation,[status(thm)],[c_57,c_9371]) ).

cnf(c_9391,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_56,c_9389]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n029.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 : Mon Aug 28 18:54:41 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.14  % SZS status Started for theBenchmark.p
% 0.46/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.14  
% 0.46/1.14  ------  iProver source info
% 0.46/1.14  
% 0.46/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.14  git: non_committed_changes: false
% 0.46/1.14  git: last_make_outside_of_git: false
% 0.46/1.14  
% 0.46/1.14  ------ Parsing...successful
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... sup_sim: 10  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 
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.14  ------ Proving...
% 0.46/1.14  ------ Problem Properties 
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  clauses                                 190
% 0.46/1.14  conjectures                             7
% 0.46/1.14  EPR                                     63
% 0.46/1.14  Horn                                    156
% 0.46/1.14  unary                                   65
% 0.46/1.14  binary                                  27
% 0.46/1.14  lits                                    560
% 0.46/1.14  lits eq                                 79
% 0.46/1.14  fd_pure                                 0
% 0.46/1.14  fd_pseudo                               0
% 0.46/1.14  fd_cond                                 15
% 0.46/1.14  fd_pseudo_cond                          14
% 0.46/1.14  AC symbols                              0
% 0.46/1.14  
% 0.46/1.14  ------ Input Options Time Limit: Unbounded
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ 
% 0.46/1.14  Current options:
% 0.46/1.14  ------ 
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ Proving...
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.14  
% 0.46/1.14  
%------------------------------------------------------------------------------