TSTP Solution File: SWC124-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC124-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 03:11:19 EDT 2024

% Result   : Unsatisfiable 3.96s 1.14s
% Output   : CNFRefutation 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  18 unt;   1 nHn;  38 RR)
%            Number of literals    :   85 (  24 equ;  54 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

cnf(c_51,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_60,negated_conjecture,
    ( sk3 != nil
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_69,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_135,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_161,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_176,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_234,plain,
    ( app(app(X0,X1),X2) != X3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | segmentP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(c_252,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_176]) ).

cnf(c_261,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_234]) ).

cnf(c_1570,plain,
    app(sk3,sk5) = sk2,
    inference(light_normalisation,[status(thm)],[c_57,c_53]) ).

cnf(c_1621,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_61,c_54]) ).

cnf(c_1634,plain,
    ( sk3 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_60,c_53]) ).

cnf(c_2707,plain,
    ( X0 != sk2
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_252]) ).

cnf(c_2708,plain,
    ( sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_2707]) ).

cnf(c_2709,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2708,c_50,c_2708]) ).

cnf(c_2747,plain,
    ( X0 != nil
    | X1 != sk3
    | ~ segmentP(sk2,sk3)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_161,c_1621]) ).

cnf(c_2748,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3 ),
    inference(unflattening,[status(thm)],[c_2747]) ).

cnf(c_2749,plain,
    ( ~ segmentP(sk2,sk3)
    | nil = sk3 ),
    inference(global_subsumption_just,[status(thm)],[c_2748,c_51,c_69,c_2748]) ).

cnf(c_2758,plain,
    sk3 != nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_1634,c_2709]) ).

cnf(c_6424,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_6427,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_6428,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_9184,plain,
    app(nil,sk3) = sk3,
    inference(superposition,[status(thm)],[c_6427,c_135]) ).

cnf(c_9325,plain,
    ( ~ ssList(app(app(nil,sk3),X0))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(app(sk3,X0),sk3) ),
    inference(superposition,[status(thm)],[c_9184,c_261]) ).

cnf(c_9326,plain,
    ( ~ ssList(app(sk3,X0))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(app(sk3,X0),sk3) ),
    inference(light_normalisation,[status(thm)],[c_9325,c_9184]) ).

cnf(c_9327,plain,
    ( ~ ssList(app(sk3,X0))
    | ~ ssList(X0)
    | segmentP(app(sk3,X0),sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9326,c_69,c_6427]) ).

cnf(c_9551,plain,
    ( ~ ssList(app(sk3,sk5))
    | ~ ssList(sk5)
    | segmentP(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_1570,c_9327]) ).

cnf(c_9555,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk5)
    | segmentP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_9551,c_1570]) ).

cnf(c_9556,plain,
    segmentP(sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9555,c_6424,c_6428]) ).

cnf(c_9557,plain,
    sk3 = nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_2749,c_9556]) ).

cnf(c_9559,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9557,c_2758]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC124-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:20:47 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 3.96/1.14  % SZS status Started for theBenchmark.p
% 3.96/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.96/1.14  
% 3.96/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.96/1.14  
% 3.96/1.14  ------  iProver source info
% 3.96/1.14  
% 3.96/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.96/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.96/1.14  git: non_committed_changes: false
% 3.96/1.14  
% 3.96/1.14  ------ Parsing...successful
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  ------ Preprocessing... sup_sim: 7  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 
% 3.96/1.14  
% 3.96/1.14  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.96/1.14  
% 3.96/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.96/1.14  ------ Proving...
% 3.96/1.14  ------ Problem Properties 
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  clauses                                 189
% 3.96/1.14  conjectures                             7
% 3.96/1.14  EPR                                     62
% 3.96/1.14  Horn                                    161
% 3.96/1.14  unary                                   67
% 3.96/1.14  binary                                  23
% 3.96/1.14  lits                                    561
% 3.96/1.14  lits eq                                 78
% 3.96/1.14  fd_pure                                 0
% 3.96/1.14  fd_pseudo                               0
% 3.96/1.14  fd_cond                                 15
% 3.96/1.14  fd_pseudo_cond                          14
% 3.96/1.14  AC symbols                              0
% 3.96/1.14  
% 3.96/1.14  ------ Schedule dynamic 5 is on 
% 3.96/1.14  
% 3.96/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  ------ 
% 3.96/1.14  Current options:
% 3.96/1.14  ------ 
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  ------ Proving...
% 3.96/1.14  
% 3.96/1.14  
% 3.96/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.96/1.14  
% 3.96/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.96/1.14  
% 3.96/1.14  
%------------------------------------------------------------------------------