TSTP Solution File: SWC052-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC052-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 20:40:37 EDT 2023

% Result   : Unsatisfiable 3.81s 1.13s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   50 (  16 unt;   1 nHn;  49 RR)
%            Number of literals    :  122 (  20 equ;  80 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   2 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,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

cnf(c_57,negated_conjecture,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( ~ neq(sk4,nil)
    | frontsegP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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

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

cnf(c_61,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( sk1 != nil
    | ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    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_114,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_137,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_195,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(c_236,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_263,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_236]) ).

cnf(c_1589,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(light_normalisation,[status(thm)],[c_56,c_53]) ).

cnf(c_1648,plain,
    ( ~ neq(sk2,nil)
    | frontsegP(sk1,sk5) ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_1653,plain,
    ( ~ neq(sk2,nil)
    | frontsegP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_1658,plain,
    ( ~ neq(sk2,nil)
    | neq(sk5,nil) ),
    inference(light_normalisation,[status(thm)],[c_57,c_53]) ).

cnf(c_1675,plain,
    ( sk2 != nil
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_3466,plain,
    neq(sk5,nil),
    inference(global_subsumption_just,[status(thm)],[c_1658,c_60,c_62,c_1658,c_1675]) ).

cnf(c_3468,plain,
    frontsegP(sk2,sk5),
    inference(global_subsumption_just,[status(thm)],[c_1653,c_60,c_62,c_1653,c_1675]) ).

cnf(c_3470,plain,
    frontsegP(sk1,sk5),
    inference(global_subsumption_just,[status(thm)],[c_1648,c_60,c_62,c_1648,c_1675]) ).

cnf(c_3472,plain,
    ssList(sk5),
    inference(global_subsumption_just,[status(thm)],[c_1589,c_60,c_62,c_1589,c_1675]) ).

cnf(c_3474,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_61,c_63,c_1675]) ).

cnf(c_3478,plain,
    ( ~ ssList(X0)
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk1,X0)
    | ~ neq(X0,nil) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_3474]) ).

cnf(c_3479,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    inference(renaming,[status(thm)],[c_3478]) ).

cnf(c_5879,plain,
    ( X0 != sk5
    | nil != nil
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_3466,c_3479]) ).

cnf(c_5880,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | ~ ssList(sk5) ),
    inference(unflattening,[status(thm)],[c_5879]) ).

cnf(c_5881,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ segmentP(sk1,sk5) ),
    inference(global_subsumption_just,[status(thm)],[c_5880,c_60,c_62,c_1589,c_1675,c_5880]) ).

cnf(c_5882,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5) ),
    inference(renaming,[status(thm)],[c_5881]) ).

cnf(c_12214,plain,
    app(nil,sk5) = sk5,
    inference(superposition,[status(thm)],[c_3472,c_137]) ).

cnf(c_12406,plain,
    ( ~ ssList(app(app(nil,sk5),X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(superposition,[status(thm)],[c_12214,c_263]) ).

cnf(c_12408,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(light_normalisation,[status(thm)],[c_12406,c_12214]) ).

cnf(c_12409,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | segmentP(app(sk5,X0),sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12408,c_3472,c_71]) ).

cnf(c_15620,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk1,sk5)) = sk1 ),
    inference(superposition,[status(thm)],[c_3470,c_195]) ).

cnf(c_15621,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk2,sk5)) = sk2 ),
    inference(superposition,[status(thm)],[c_3468,c_195]) ).

cnf(c_15647,plain,
    app(sk5,skaf45(sk2,sk5)) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_15621,c_3472,c_50]) ).

cnf(c_15648,plain,
    app(sk5,skaf45(sk1,sk5)) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_15620,c_3472,c_49]) ).

cnf(c_16222,plain,
    ( ~ ssList(app(sk5,skaf45(sk2,sk5)))
    | ~ ssList(skaf45(sk2,sk5))
    | segmentP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_15647,c_12409]) ).

cnf(c_16224,plain,
    ( ~ ssList(skaf45(sk2,sk5))
    | ~ ssList(sk2)
    | segmentP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_16222,c_15647]) ).

cnf(c_16225,plain,
    segmentP(sk2,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_16224,c_50,c_114]) ).

cnf(c_16243,plain,
    ~ segmentP(sk1,sk5),
    inference(backward_subsumption_resolution,[status(thm)],[c_5882,c_16225]) ).

cnf(c_16656,plain,
    ( ~ ssList(app(sk5,skaf45(sk1,sk5)))
    | ~ ssList(skaf45(sk1,sk5))
    | segmentP(sk1,sk5) ),
    inference(superposition,[status(thm)],[c_15648,c_12409]) ).

cnf(c_16658,plain,
    ( ~ ssList(skaf45(sk1,sk5))
    | ~ ssList(sk1)
    | segmentP(sk1,sk5) ),
    inference(light_normalisation,[status(thm)],[c_16656,c_15648]) ).

cnf(c_16659,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16658,c_16243,c_49,c_114]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWC052-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Aug 28 19:03:54 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.81/1.13  % SZS status Started for theBenchmark.p
% 3.81/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.13  
% 3.81/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.81/1.13  
% 3.81/1.13  ------  iProver source info
% 3.81/1.13  
% 3.81/1.13  git: date: 2023-05-31 18:12:56 +0000
% 3.81/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.81/1.13  git: non_committed_changes: false
% 3.81/1.13  git: last_make_outside_of_git: false
% 3.81/1.13  
% 3.81/1.13  ------ Parsing...successful
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  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 
% 3.81/1.13  
% 3.81/1.13  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.81/1.13  
% 3.81/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.81/1.13  ------ Proving...
% 3.81/1.13  ------ Problem Properties 
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  clauses                                 189
% 3.81/1.13  conjectures                             4
% 3.81/1.13  EPR                                     64
% 3.81/1.13  Horn                                    161
% 3.81/1.13  unary                                   67
% 3.81/1.13  binary                                  23
% 3.81/1.13  lits                                    558
% 3.81/1.13  lits eq                                 74
% 3.81/1.13  fd_pure                                 0
% 3.81/1.13  fd_pseudo                               0
% 3.81/1.13  fd_cond                                 16
% 3.81/1.13  fd_pseudo_cond                          14
% 3.81/1.13  AC symbols                              0
% 3.81/1.13  
% 3.81/1.13  ------ Schedule dynamic 5 is on 
% 3.81/1.13  
% 3.81/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  ------ 
% 3.81/1.13  Current options:
% 3.81/1.13  ------ 
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  ------ Proving...
% 3.81/1.13  
% 3.81/1.13  
% 3.81/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.13  
% 3.81/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.13  
% 3.81/1.14  
%------------------------------------------------------------------------------