↑ Up

CSE_E---1.7.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC077-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n012.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 : Tue May  5 05:18:10 PM UTC 2026

% Result   : Unsatisfiable 6.50s 4.44s
% Output   : CNFRefutation 6.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   35
% Syntax   : Number of clauses     :  103 (  26 unt;  10 nHn;  97 RR)
%            Number of literals    :  300 (  74 equ; 205 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  140 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).

cnf(clause12,axiom,
    ssItem(skaf83(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).

cnf(clause96,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(co1_9,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

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

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(clause133,axiom,
    ( nil = X2
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).

cnf(clause145,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).

cnf(co1_10,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(sk3,X1)
    | ~ frontsegP(sk4,X1)
    | ~ segmentP(X1,sk3)
    | ~ strictorderedP(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(clause98,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).

cnf(clause172,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause172) ).

cnf(clause66,axiom,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).

cnf(clause57,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(co1_7,negated_conjecture,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(clause83,axiom,
    ( frontsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause83) ).

cnf(clause178,axiom,
    ( frontsegP(cons(X3,X1),cons(X4,X2))
    | ~ frontsegP(X1,X2)
    | X3 != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause178) ).

cnf(co1_11,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(clause60,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).

cnf(c_0_35,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_36,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause109 ).

cnf(c_0_37,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_38,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_39,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause96 ).

cnf(c_0_40,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_41,plain,
    ( nil = X1
    | skaf82(X1) != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_42,plain,
    ( skaf82(X1) = tl(X1)
    | nil = X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    co1_9 ).

cnf(c_0_44,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_45,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_46,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_47,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_48,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_49,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_50,plain,
    ( nil = X1
    | tl(X1) != X1
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,axiom,
    ( nil = X2
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause133 ).

cnf(c_0_52,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause118 ).

cnf(c_0_53,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_54,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(sk3,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_55,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_56,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_49]) ).

cnf(c_0_57,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause132 ).

cnf(c_0_58,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_59,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_60,plain,
    ( nil = X1
    | app(tl(X1),X2) != app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_49]),c_0_52]) ).

cnf(c_0_61,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_62,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause75 ).

cnf(c_0_63,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause145 ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(sk3,X1)
    | ~ frontsegP(sk4,X1)
    | ~ segmentP(X1,sk3)
    | ~ strictorderedP(X1) ),
    co1_10 ).

cnf(c_0_65,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_53,c_0_44]) ).

cnf(c_0_66,negated_conjecture,
    ( nil = X1
    | ~ segmentP(sk3,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_48])]) ).

cnf(c_0_67,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_68,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_59,c_0_45]) ).

cnf(c_0_69,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_70,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_71,plain,
    ( nil = X1
    | tl(X1) != app(X1,nil)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_48])]),c_0_62]) ).

cnf(c_0_72,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause98 ).

cnf(c_0_73,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause172 ).

cnf(c_0_74,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_63])]),c_0_48])]) ).

cnf(c_0_75,negated_conjecture,
    ( X1 = sk3
    | ~ frontsegP(sk4,X1)
    | ~ segmentP(X1,sk3)
    | ~ ssList(X1)
    | ~ strictorderedP(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55]),c_0_65])]) ).

cnf(c_0_76,axiom,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    clause66 ).

cnf(c_0_77,negated_conjecture,
    ( nil = X1
    | ~ frontsegP(sk4,X1)
    | ~ segmentP(sk3,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).

cnf(c_0_78,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    clause57 ).

cnf(c_0_79,negated_conjecture,
    frontsegP(sk4,sk3),
    co1_7 ).

cnf(c_0_80,plain,
    ( ssList(cons(X1,app(X2,X3)))
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_69]),c_0_70]) ).

cnf(c_0_81,plain,
    ( app(cons(X1,X2),nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_39]),c_0_70]),c_0_72]) ).

cnf(c_0_82,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_83,plain,
    ( segmentP(app(nil,X1),X2)
    | ~ segmentP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_48])]) ).

cnf(c_0_84,negated_conjecture,
    ( cons(X1,nil) = sk3
    | ~ frontsegP(sk4,cons(X1,nil))
    | ~ segmentP(cons(X1,nil),sk3)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_85,negated_conjecture,
    sk3 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_65])]) ).

cnf(c_0_86,plain,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_74]),c_0_48])]) ).

cnf(c_0_87,plain,
    ( cons(X1,nil) != nil
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_48])]) ).

cnf(c_0_88,plain,
    ( segmentP(X1,X2)
    | ~ segmentP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_47]) ).

cnf(c_0_89,axiom,
    ( frontsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    clause83 ).

cnf(c_0_90,axiom,
    ( frontsegP(cons(X3,X1),cons(X4,X2))
    | ~ frontsegP(X1,X2)
    | X3 != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3) ),
    clause178 ).

cnf(c_0_91,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    co1_11 ).

cnf(c_0_92,negated_conjecture,
    ( ~ frontsegP(sk4,cons(X1,nil))
    | ~ segmentP(cons(X1,nil),nil)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_85]),c_0_86]),c_0_87]) ).

cnf(c_0_93,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_67]),c_0_48])]) ).

cnf(c_0_94,plain,
    frontsegP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_89]),c_0_48])]) ).

cnf(c_0_95,plain,
    ( frontsegP(cons(X1,X2),cons(X1,X3))
    | ~ frontsegP(X2,X3)
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    ( sk3 != nil
    | sk4 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_44]),c_0_45]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ frontsegP(sk4,cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_48])]),c_0_86]) ).

cnf(c_0_98,plain,
    ( nil = X1
    | frontsegP(X1,cons(skaf83(X1),X2))
    | ~ frontsegP(skaf82(X1),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_99,negated_conjecture,
    sk4 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_85])]) ).

cnf(c_0_100,negated_conjecture,
    ~ frontsegP(skaf82(sk4),nil),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_37]),c_0_48]),c_0_68])]),c_0_99]) ).

cnf(c_0_101,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    clause60 ).

cnf(c_0_102,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : SWC077-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.06  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24  % Computer : n012.cluster.edu
% 0.06/0.24  % Model    : x86_64 x86_64
% 0.06/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24  % Memory   : 8042.1875MB
% 0.06/0.24  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24  % CPULimit   : 300
% 0.06/0.24  % WCLimit    : 300
% 0.06/0.24  % DateTime   : Tue May  5 04:22:46 EDT 2026
% 0.06/0.24  % CPUTime    : 
% 0.06/0.25  % start to proof: theBenchmark
% 6.50/4.44  % Version  : CSE_E---1.7
% 6.50/4.44  % Problem  : theBenchmark.p
% 6.50/4.44  % SZS status Unsatisfiable for theBenchmark.p
% 6.50/4.44  % SZS output start CNFRefutation
% See solution above
% 6.50/4.46  % Total time : 3.364s
%------------------------------------------------------------------------------