TSTP Solution File: SWC389-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 20:43:03 EDT 2023

% Result   : Unsatisfiable 3.51s 1.16s
% Output   : CNFRefutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   51 (  12 unt;  15 nHn;  51 RR)
%            Number of literals    :  121 (  38 equ;  66 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    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

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

cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

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,
    ( sk4 = nil
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_57,negated_conjecture,
    ( sk4 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk4 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_63,negated_conjecture,
    ( sk3 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( sk3 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(c_66,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_69,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).

cnf(c_70,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).

cnf(c_78,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_127,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_149,plain,
    ( X0 != nil
    | ~ ssList(X0)
    | segmentP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).

cnf(c_185,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_186,plain,
    ( cons(X0,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | singletonP(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).

cnf(c_243,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_258,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(unflattening,[status(thm)],[c_149]) ).

cnf(c_260,plain,
    ( ~ ssList(cons(X0,nil))
    | ~ ssItem(X0)
    | singletonP(cons(X0,nil)) ),
    inference(unflattening,[status(thm)],[c_186]) ).

cnf(c_261,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_185]) ).

cnf(c_270,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_243]) ).

cnf(c_324,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_398,plain,
    segmentP(nil,nil),
    inference(global_subsumption_just,[status(thm)],[c_258,c_78,c_324]) ).

cnf(c_1706,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ singletonP(sk3) ),
    inference(light_normalisation,[status(thm)],[c_70,c_53,c_54]) ).

cnf(c_1711,plain,
    ( ~ segmentP(sk4,sk3)
    | neq(sk4,nil) ),
    inference(light_normalisation,[status(thm)],[c_69,c_53,c_54]) ).

cnf(c_2743,plain,
    ( X0 != sk4
    | X0 != nil
    | ~ segmentP(sk4,sk3)
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_261,c_1711]) ).

cnf(c_2744,plain,
    ( sk4 != nil
    | ~ segmentP(sk4,sk3)
    | ~ ssList(sk4) ),
    inference(unflattening,[status(thm)],[c_2743]) ).

cnf(c_2745,plain,
    ( ~ segmentP(sk4,sk3)
    | sk4 != nil ),
    inference(global_subsumption_just,[status(thm)],[c_2744,c_52,c_2744]) ).

cnf(c_2746,plain,
    ( sk4 != nil
    | ~ segmentP(sk4,sk3) ),
    inference(renaming,[status(thm)],[c_2745]) ).

cnf(c_9349,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(sk5)
    | sk4 = nil
    | singletonP(cons(sk5,nil)) ),
    inference(superposition,[status(thm)],[c_59,c_260]) ).

cnf(c_9350,plain,
    ( ~ ssItem(sk5)
    | sk4 = nil
    | singletonP(cons(sk5,nil)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9349,c_51]) ).

cnf(c_9382,plain,
    ( sk4 = nil
    | singletonP(cons(sk5,nil)) ),
    inference(global_subsumption_just,[status(thm)],[c_9350,c_55,c_9350]) ).

cnf(c_9389,plain,
    ( sk4 = nil
    | singletonP(sk3) ),
    inference(superposition,[status(thm)],[c_59,c_9382]) ).

cnf(c_9410,plain,
    ~ segmentP(sk4,sk3),
    inference(global_subsumption_just,[status(thm)],[c_2746,c_1706,c_2746,c_9389]) ).

cnf(c_9536,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | sk3 = nil
    | segmentP(sk4,sk3) ),
    inference(superposition,[status(thm)],[c_66,c_270]) ).

cnf(c_9537,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | sk4 = nil
    | segmentP(sk4,sk3) ),
    inference(superposition,[status(thm)],[c_60,c_270]) ).

cnf(c_9546,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | sk4 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9537,c_9410,c_51]) ).

cnf(c_9551,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | sk3 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9536,c_9410,c_51]) ).

cnf(c_9571,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | sk4 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_9546,c_58,c_57,c_9546]) ).

cnf(c_9578,plain,
    ( ~ ssList(sk4)
    | sk4 = nil ),
    inference(superposition,[status(thm)],[c_60,c_9571]) ).

cnf(c_9579,plain,
    sk4 = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_9578,c_52]) ).

cnf(c_9580,plain,
    ~ segmentP(nil,sk3),
    inference(demodulation,[status(thm)],[c_9410,c_9579]) ).

cnf(c_9581,plain,
    ( app(app(sk6,sk3),sk7) = nil
    | sk3 = nil ),
    inference(demodulation,[status(thm)],[c_66,c_9579]) ).

cnf(c_9600,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | sk3 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_9551,c_64,c_63,c_9551]) ).

cnf(c_9606,plain,
    ( ~ ssList(nil)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_9581,c_9600]) ).

cnf(c_9607,plain,
    sk3 = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_9606,c_78]) ).

cnf(c_9614,plain,
    ~ segmentP(nil,nil),
    inference(light_normalisation,[status(thm)],[c_9580,c_9607]) ).

cnf(c_9615,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9614,c_398]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 16:09:38 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.51/1.16  % SZS status Started for theBenchmark.p
% 3.51/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.16  
% 3.51/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.51/1.16  
% 3.51/1.16  ------  iProver source info
% 3.51/1.16  
% 3.51/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.51/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.51/1.16  git: non_committed_changes: false
% 3.51/1.16  git: last_make_outside_of_git: false
% 3.51/1.16  
% 3.51/1.16  ------ Parsing...successful
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  ------ Preprocessing... sup_sim: 6  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 
% 3.51/1.16  
% 3.51/1.16  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.51/1.16  
% 3.51/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.51/1.16  ------ Proving...
% 3.51/1.16  ------ Problem Properties 
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  clauses                                 197
% 3.51/1.16  conjectures                             18
% 3.51/1.16  EPR                                     68
% 3.51/1.16  Horn                                    159
% 3.51/1.16  unary                                   62
% 3.51/1.16  binary                                  33
% 3.51/1.16  lits                                    585
% 3.51/1.16  lits eq                                 90
% 3.51/1.16  fd_pure                                 0
% 3.51/1.16  fd_pseudo                               0
% 3.51/1.16  fd_cond                                 15
% 3.51/1.16  fd_pseudo_cond                          14
% 3.51/1.16  AC symbols                              0
% 3.51/1.16  
% 3.51/1.16  ------ Schedule dynamic 5 is on 
% 3.51/1.16  
% 3.51/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  ------ 
% 3.51/1.16  Current options:
% 3.51/1.16  ------ 
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  ------ Proving...
% 3.51/1.16  
% 3.51/1.16  
% 3.51/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.16  
% 3.51/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/1.16  
% 3.51/1.17  
%------------------------------------------------------------------------------