TSTP Solution File: SWC112-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC112-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 20:41:04 EDT 2023

% Result   : Unsatisfiable 0.47s 1.17s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   32 (  14 unt;   3 nHn;  32 RR)
%            Number of literals    :   80 (  29 equ;  50 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   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   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_61,negated_conjecture,
    ( sk3 != nil
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_63,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1)
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_73,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_145,plain,
    ( ~ segmentP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).

cnf(c_165,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_180,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_238,plain,
    ( app(app(X0,X1),X2) != X3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(c_256,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_180]) ).

cnf(c_265,plain,
    ( ~ ssList(app(app(X0,X1),X2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(app(X0,X1),X2),X1) ),
    inference(unflattening,[status(thm)],[c_238]) ).

cnf(c_1662,plain,
    app(app(sk5,sk1),sk6) = sk2,
    inference(light_normalisation,[status(thm)],[c_57,c_53,c_54]) ).

cnf(c_1671,plain,
    ( sk1 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_61,c_53,c_54]) ).

cnf(c_3514,plain,
    ( X0 != sk2
    | X0 != nil
    | sk1 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_64,c_256]) ).

cnf(c_3515,plain,
    ( sk1 != nil
    | sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3514]) ).

cnf(c_3516,plain,
    sk1 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3515,c_50,c_1671,c_3515]) ).

cnf(c_3547,plain,
    ( X0 != sk1
    | X1 != nil
    | ~ segmentP(sk2,sk1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_63,c_165]) ).

cnf(c_3548,plain,
    ( ~ segmentP(sk2,sk1)
    | ~ ssList(sk1)
    | ~ ssList(nil)
    | sk1 = nil
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3547]) ).

cnf(c_3549,plain,
    ( ~ segmentP(sk2,sk1)
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3548,c_49,c_73,c_3516,c_3548]) ).

cnf(c_9143,plain,
    ( ~ ssList(app(app(sk5,sk1),sk6))
    | ~ ssList(sk1)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(sk2,sk1) ),
    inference(superposition,[status(thm)],[c_1662,c_265]) ).

cnf(c_9151,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk2)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(sk2,sk1) ),
    inference(light_normalisation,[status(thm)],[c_9143,c_1662]) ).

cnf(c_9152,plain,
    segmentP(sk2,sk1),
    inference(forward_subsumption_resolution,[status(thm)],[c_9151,c_56,c_55,c_50,c_49]) ).

cnf(c_9159,plain,
    sk2 = nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_3549,c_9152]) ).

cnf(c_9165,plain,
    segmentP(nil,sk1),
    inference(light_normalisation,[status(thm)],[c_9152,c_9159]) ).

cnf(c_9759,plain,
    ( ~ ssList(sk1)
    | sk1 = nil ),
    inference(superposition,[status(thm)],[c_9165,c_145]) ).

cnf(c_9762,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9759,c_3516,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC112-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 18:37:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.17  % SZS status Started for theBenchmark.p
% 0.47/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17  
% 0.47/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.17  
% 0.47/1.17  ------  iProver source info
% 0.47/1.17  
% 0.47/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.17  git: non_committed_changes: false
% 0.47/1.17  git: last_make_outside_of_git: false
% 0.47/1.17  
% 0.47/1.17  ------ Parsing...successful
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... sup_sim: 9  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 
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.47/1.17  ------ Proving...
% 0.47/1.17  ------ Problem Properties 
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  clauses                                 189
% 0.47/1.17  conjectures                             6
% 0.47/1.17  EPR                                     61
% 0.47/1.17  Horn                                    161
% 0.47/1.17  unary                                   67
% 0.47/1.17  binary                                  22
% 0.47/1.17  lits                                    566
% 0.47/1.17  lits eq                                 78
% 0.47/1.17  fd_pure                                 0
% 0.47/1.17  fd_pseudo                               0
% 0.47/1.17  fd_cond                                 15
% 0.47/1.17  fd_pseudo_cond                          14
% 0.47/1.17  AC symbols                              0
% 0.47/1.17  
% 0.47/1.17  ------ Schedule dynamic 5 is on 
% 0.47/1.17  
% 0.47/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ 
% 0.47/1.17  Current options:
% 0.47/1.17  ------ 
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ Proving...
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17  
% 0.47/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17  
% 0.47/1.17  
%------------------------------------------------------------------------------