TSTP Solution File: SWC029-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC029-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 03:10:56 EDT 2024

% Result   : Unsatisfiable 4.22s 1.16s
% Output   : CNFRefutation 4.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   53 (  13 unt;  11 nHn;  53 RR)
%            Number of literals    :  129 (  54 equ;  72 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_59,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( sk1 = nil
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_63,negated_conjecture,
    ( sk1 != nil
    | sk2 != nil ),
    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_74,plain,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).

cnf(c_145,plain,
    ( ~ rearsegP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause82) ).

cnf(c_148,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_149,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | ssList(cons(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(c_163,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_179,plain,
    ( cons(X0,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | singletonP(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).

cnf(c_206,plain,
    ( app(X0,X1) != X2
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | rearsegP(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).

cnf(c_253,plain,
    ( ~ ssList(cons(X0,nil))
    | ~ ssItem(X0)
    | singletonP(cons(X0,nil)) ),
    inference(unflattening,[status(thm)],[c_179]) ).

cnf(c_259,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | rearsegP(app(X0,X1),X1) ),
    inference(unflattening,[status(thm)],[c_206]) ).

cnf(c_395,plain,
    ( sk2 != nil
    | sk1 != nil ),
    inference(prop_impl_just,[status(thm)],[c_63]) ).

cnf(c_396,plain,
    ( sk1 != nil
    | sk2 != nil ),
    inference(renaming,[status(thm)],[c_395]) ).

cnf(c_397,plain,
    ( sk2 = nil
    | sk1 = nil ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

cnf(c_398,plain,
    ( sk1 = nil
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_397]) ).

cnf(c_399,plain,
    ( sk4 != nil
    | sk3 = nil ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

cnf(c_401,plain,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

cnf(c_403,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

cnf(c_407,plain,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = sk3 ),
    inference(prop_impl_just,[status(thm)],[c_59]) ).

cnf(c_1020,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | rearsegP(app(X0,X1),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_259,c_148]) ).

cnf(c_1988,plain,
    ( sk1 = nil
    | sk4 = nil ),
    inference(light_normalisation,[status(thm)],[c_398,c_53]) ).

cnf(c_2001,plain,
    ( sk4 != nil
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_399,c_54]) ).

cnf(c_2004,plain,
    sk1 = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_2001,c_1988]) ).

cnf(c_2005,plain,
    sk3 = nil,
    inference(demodulation,[status(thm)],[c_54,c_2004]) ).

cnf(c_2043,plain,
    ( sk1 != nil
    | sk4 != nil ),
    inference(light_normalisation,[status(thm)],[c_396,c_53]) ).

cnf(c_2044,plain,
    ( sk4 != nil
    | nil != nil ),
    inference(demodulation,[status(thm)],[c_2043,c_2004]) ).

cnf(c_2045,plain,
    sk4 != nil,
    inference(equality_resolution_simp,[status(thm)],[c_2044]) ).

cnf(c_2130,plain,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = nil ),
    inference(light_normalisation,[status(thm)],[c_407,c_2005]) ).

cnf(c_3798,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sk6,cons(sk5,nil)) = nil
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_2130,c_163]) ).

cnf(c_3799,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | app(sk6,cons(sk5,nil)) = nil
    | sk4 = nil ),
    inference(unflattening,[status(thm)],[c_3798]) ).

cnf(c_3800,plain,
    app(sk6,cons(sk5,nil)) = nil,
    inference(global_subsumption_just,[status(thm)],[c_3799,c_52,c_71,c_2045,c_3799]) ).

cnf(c_3838,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssList(sk6) ),
    inference(resolution_lifted,[status(thm)],[c_403,c_163]) ).

cnf(c_3839,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | sk4 = nil
    | ssList(sk6) ),
    inference(unflattening,[status(thm)],[c_3838]) ).

cnf(c_3840,plain,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_3839,c_52,c_71,c_2045,c_3839]) ).

cnf(c_3858,plain,
    ( X0 != sk4
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssItem(sk5) ),
    inference(resolution_lifted,[status(thm)],[c_401,c_163]) ).

cnf(c_3859,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | sk4 = nil
    | ssItem(sk5) ),
    inference(unflattening,[status(thm)],[c_3858]) ).

cnf(c_3860,plain,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_3859,c_52,c_71,c_2045,c_3859]) ).

cnf(c_9902,plain,
    ( ~ ssList(cons(sk5,nil))
    | ~ ssList(sk6)
    | rearsegP(nil,cons(sk5,nil)) ),
    inference(superposition,[status(thm)],[c_3800,c_1020]) ).

cnf(c_9965,plain,
    ( ~ ssList(cons(sk5,nil))
    | rearsegP(nil,cons(sk5,nil)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9902,c_3840]) ).

cnf(c_10107,plain,
    ( ~ ssList(cons(sk5,nil))
    | cons(sk5,nil) = nil ),
    inference(superposition,[status(thm)],[c_9965,c_145]) ).

cnf(c_10114,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | cons(sk5,nil) = nil ),
    inference(superposition,[status(thm)],[c_149,c_10107]) ).

cnf(c_10115,plain,
    cons(sk5,nil) = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_10114,c_3860,c_71]) ).

cnf(c_10151,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | singletonP(cons(sk5,nil)) ),
    inference(superposition,[status(thm)],[c_10115,c_253]) ).

cnf(c_10152,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | singletonP(nil) ),
    inference(light_normalisation,[status(thm)],[c_10151,c_10115]) ).

cnf(c_10153,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10152,c_74,c_3860,c_71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC029-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:10:34 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 4.22/1.16  % SZS status Started for theBenchmark.p
% 4.22/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.22/1.16  
% 4.22/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.22/1.16  
% 4.22/1.16  ------  iProver source info
% 4.22/1.16  
% 4.22/1.16  git: date: 2024-05-02 19:28:25 +0000
% 4.22/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.22/1.16  git: non_committed_changes: false
% 4.22/1.16  
% 4.22/1.16  ------ Parsing...successful
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  ------ Preprocessing... sup_sim: 11  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 
% 4.22/1.16  
% 4.22/1.16  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.22/1.16  
% 4.22/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.22/1.16  ------ Proving...
% 4.22/1.16  ------ Problem Properties 
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  clauses                                 186
% 4.22/1.16  conjectures                             2
% 4.22/1.16  EPR                                     59
% 4.22/1.16  Horn                                    158
% 4.22/1.16  unary                                   67
% 4.22/1.16  binary                                  21
% 4.22/1.16  lits                                    550
% 4.22/1.16  lits eq                                 75
% 4.22/1.16  fd_pure                                 0
% 4.22/1.16  fd_pseudo                               0
% 4.22/1.16  fd_cond                                 15
% 4.22/1.16  fd_pseudo_cond                          14
% 4.22/1.16  AC symbols                              0
% 4.22/1.16  
% 4.22/1.16  ------ Schedule dynamic 5 is on 
% 4.22/1.16  
% 4.22/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  ------ 
% 4.22/1.16  Current options:
% 4.22/1.16  ------ 
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  ------ Proving...
% 4.22/1.16  
% 4.22/1.16  
% 4.22/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.22/1.16  
% 4.22/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.22/1.16  
% 4.22/1.16  
%------------------------------------------------------------------------------