TSTP Solution File: SWC053-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC053-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 20:40:38 EDT 2023

% Result   : Unsatisfiable 4.21s 1.17s
% Output   : CNFRefutation 4.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   68 (  21 unt;  13 nHn;  67 RR)
%            Number of literals    :  166 (  60 equ;  92 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   :   26 (   2 sgn)

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

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

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

cnf(c_56,negated_conjecture,
    ( sk3 = nil
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

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

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

cnf(c_60,negated_conjecture,
    ( sk3 = nil
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( sk3 = nil
    | frontsegP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk3 = nil
    | frontsegP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_64,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_74,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_117,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_140,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_181,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_184,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(c_198,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_239,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_257,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_181]) ).

cnf(c_266,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_239]) ).

cnf(c_1608,plain,
    ( sk2 = nil
    | ssList(sk5) ),
    inference(light_normalisation,[status(thm)],[c_55,c_53]) ).

cnf(c_1671,plain,
    ( sk3 = nil
    | frontsegP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_61,c_53]) ).

cnf(c_1680,plain,
    ( sk2 = nil
    | frontsegP(sk3,sk5) ),
    inference(light_normalisation,[status(thm)],[c_59,c_53]) ).

cnf(c_1685,plain,
    ( sk2 = nil
    | frontsegP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_1690,plain,
    ( sk2 = nil
    | neq(sk5,nil) ),
    inference(light_normalisation,[status(thm)],[c_57,c_53]) ).

cnf(c_1695,plain,
    ( sk3 != nil
    | neq(sk2,nil) ),
    inference(light_normalisation,[status(thm)],[c_65,c_54]) ).

cnf(c_2144,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_64,c_54]) ).

cnf(c_3512,plain,
    ( X0 != sk5
    | nil != nil
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1690,c_2144]) ).

cnf(c_3513,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ segmentP(sk3,sk5)
    | ~ ssList(sk5)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3512]) ).

cnf(c_3514,plain,
    ( ~ segmentP(sk3,sk5)
    | ~ segmentP(sk2,sk5)
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3513,c_1608,c_3513]) ).

cnf(c_3515,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ segmentP(sk3,sk5)
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_3514]) ).

cnf(c_3531,plain,
    ( X0 != sk5
    | X0 != nil
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1690,c_257]) ).

cnf(c_3532,plain,
    ( sk5 != nil
    | ~ ssList(sk5)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3531]) ).

cnf(c_3533,plain,
    ( sk5 != nil
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3532,c_1608,c_3532]) ).

cnf(c_3545,plain,
    ( X0 != sk5
    | X0 != nil
    | ~ ssList(X0)
    | sk3 = nil ),
    inference(resolution_lifted,[status(thm)],[c_60,c_257]) ).

cnf(c_3546,plain,
    ( sk5 != nil
    | ~ ssList(sk5)
    | sk3 = nil ),
    inference(unflattening,[status(thm)],[c_3545]) ).

cnf(c_3547,plain,
    ( sk5 != nil
    | sk3 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3546,c_56,c_3546]) ).

cnf(c_3589,plain,
    ( X0 != sk2
    | X0 != nil
    | sk3 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_1695,c_257]) ).

cnf(c_3590,plain,
    ( sk2 != nil
    | sk3 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3589]) ).

cnf(c_3726,plain,
    sk5 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3547,c_50,c_3533,c_3547,c_3590]) ).

cnf(c_3730,plain,
    frontsegP(sk2,sk5),
    inference(global_subsumption_just,[status(thm)],[c_1685,c_50,c_1671,c_1685,c_3590]) ).

cnf(c_3732,plain,
    frontsegP(sk3,sk5),
    inference(global_subsumption_just,[status(thm)],[c_1680,c_50,c_62,c_1680,c_3590]) ).

cnf(c_3734,plain,
    frontsegP(sk2,sk5),
    inference(global_subsumption_just,[status(thm)],[c_1671,c_3730]) ).

cnf(c_3736,plain,
    ssList(sk5),
    inference(global_subsumption_just,[status(thm)],[c_1608,c_50,c_56,c_1608,c_3590]) ).

cnf(c_3738,negated_conjecture,
    frontsegP(sk3,sk5),
    inference(global_subsumption_just,[status(thm)],[c_62,c_3732]) ).

cnf(c_3740,negated_conjecture,
    ssList(sk5),
    inference(global_subsumption_just,[status(thm)],[c_56,c_3736]) ).

cnf(c_12515,plain,
    app(nil,sk5) = sk5,
    inference(superposition,[status(thm)],[c_3740,c_140]) ).

cnf(c_12631,plain,
    ( ~ ssList(app(app(nil,sk5),X0))
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(nil)
    | segmentP(app(sk5,X0),sk5) ),
    inference(superposition,[status(thm)],[c_12515,c_266]) ).

cnf(c_12633,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(nil)
    | segmentP(app(sk5,X0),sk5) ),
    inference(light_normalisation,[status(thm)],[c_12631,c_12515]) ).

cnf(c_12634,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | segmentP(app(sk5,X0),sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12633,c_74,c_3740]) ).

cnf(c_16474,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk3,sk5)) = sk3 ),
    inference(superposition,[status(thm)],[c_3738,c_198]) ).

cnf(c_16479,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk2,sk5)) = sk2 ),
    inference(superposition,[status(thm)],[c_3734,c_198]) ).

cnf(c_16507,plain,
    app(sk5,skaf45(sk2,sk5)) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_16479,c_3740,c_50]) ).

cnf(c_16511,plain,
    app(sk5,skaf45(sk3,sk5)) = sk3,
    inference(forward_subsumption_resolution,[status(thm)],[c_16474,c_3740,c_51]) ).

cnf(c_17969,plain,
    ( sk2 != nil
    | ~ ssList(skaf45(sk2,sk5))
    | ~ ssList(sk5)
    | sk5 = nil ),
    inference(superposition,[status(thm)],[c_16507,c_184]) ).

cnf(c_17978,plain,
    ( ~ ssList(app(sk5,skaf45(sk2,sk5)))
    | ~ ssList(skaf45(sk2,sk5))
    | segmentP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_16507,c_12634]) ).

cnf(c_17980,plain,
    ( ~ ssList(skaf45(sk2,sk5))
    | ~ ssList(sk2)
    | segmentP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_17978,c_16507]) ).

cnf(c_17981,plain,
    segmentP(sk2,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_17980,c_50,c_117]) ).

cnf(c_17982,plain,
    sk2 != nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_17969,c_3726,c_3740,c_117]) ).

cnf(c_18008,plain,
    ( ~ segmentP(sk3,sk5)
    | sk2 = nil ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3515,c_17981]) ).

cnf(c_18009,plain,
    ~ segmentP(sk3,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_18008,c_17982]) ).

cnf(c_18166,plain,
    ( ~ ssList(app(sk5,skaf45(sk3,sk5)))
    | ~ ssList(skaf45(sk3,sk5))
    | segmentP(sk3,sk5) ),
    inference(superposition,[status(thm)],[c_16511,c_12634]) ).

cnf(c_18168,plain,
    ( ~ ssList(skaf45(sk3,sk5))
    | ~ ssList(sk3)
    | segmentP(sk3,sk5) ),
    inference(light_normalisation,[status(thm)],[c_18166,c_16511]) ).

cnf(c_18169,plain,
    segmentP(sk3,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_18168,c_51,c_117]) ).

cnf(c_18203,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18169,c_18009]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC053-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.16/0.35  % Computer : n026.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 16:57:50 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.21/1.17  % SZS status Started for theBenchmark.p
% 4.21/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.21/1.17  
% 4.21/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.21/1.17  
% 4.21/1.17  ------  iProver source info
% 4.21/1.17  
% 4.21/1.17  git: date: 2023-05-31 18:12:56 +0000
% 4.21/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.21/1.17  git: non_committed_changes: false
% 4.21/1.17  git: last_make_outside_of_git: false
% 4.21/1.17  
% 4.21/1.17  ------ Parsing...successful
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  ------ Preprocessing... sup_sim: 12  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  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 4.21/1.17  
% 4.21/1.17  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.21/1.17  
% 4.21/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.21/1.17  ------ Proving...
% 4.21/1.17  ------ Problem Properties 
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  clauses                                 191
% 4.21/1.17  conjectures                             6
% 4.21/1.17  EPR                                     66
% 4.21/1.17  Horn                                    162
% 4.21/1.17  unary                                   66
% 4.21/1.17  binary                                  22
% 4.21/1.17  lits                                    570
% 4.21/1.17  lits eq                                 81
% 4.21/1.17  fd_pure                                 0
% 4.21/1.17  fd_pseudo                               0
% 4.21/1.17  fd_cond                                 17
% 4.21/1.17  fd_pseudo_cond                          14
% 4.21/1.17  AC symbols                              0
% 4.21/1.17  
% 4.21/1.17  ------ Schedule dynamic 5 is on 
% 4.21/1.17  
% 4.21/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  ------ 
% 4.21/1.17  Current options:
% 4.21/1.17  ------ 
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  ------ Proving...
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.21/1.17  
% 4.21/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.21/1.17  
% 4.21/1.18  
%------------------------------------------------------------------------------