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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:42:56 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.59s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   27
% Syntax   : Number of clauses     :  101 (  25 unt;   8 nHn;  97 RR)
%            Number of literals    :  292 (  69 equ; 193 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  121 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause144,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).

cnf(clause131,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(clause84,axiom,
    ( ~ ssList(X1)
    | ~ frontsegP(nil,X1)
    | nil = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).

cnf(clause50,axiom,
    ssList(skaf46(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).

cnf(clause136,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2)
    | rearsegP(app(X3,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause136) ).

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

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

cnf(clause81,axiom,
    ( ~ ssList(X1)
    | nil != X1
    | rearsegP(nil,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause81) ).

cnf(clause150,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).

cnf(clause132,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = 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(clause154,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X2,X3)
    | ~ frontsegP(X1,X2)
    | frontsegP(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause154) ).

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

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

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

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

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

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

cnf(co1_8,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

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

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

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

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

cnf(clause79,axiom,
    ( ~ ssList(X1)
    | nil != X1
    | segmentP(nil,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).

cnf(co1_9,negated_conjecture,
    ( neq(sk3,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_10,negated_conjecture,
    ( frontsegP(sk4,sk3)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_0_27,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_28,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_29,plain,
    ( ~ ssList(X1)
    | ~ frontsegP(nil,X1)
    | nil = X1 ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_30,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    c_0_27 ).

cnf(c_0_31,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    c_0_28 ).

cnf(c_0_32,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_33,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2)
    | rearsegP(app(X3,X1),X2) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_34,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_35,plain,
    ( ~ ssList(X1)
    | ~ frontsegP(nil,X1)
    | nil = X1 ),
    c_0_29 ).

cnf(c_0_36,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2)
    | frontsegP(X1,skaf46(X1,X2)) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])])]) ).

cnf(c_0_37,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_38,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2)
    | rearsegP(app(X3,X1),X2) ),
    c_0_33 ).

cnf(c_0_39,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    c_0_34 ).

cnf(c_0_40,plain,
    ( ~ ssList(X1)
    | nil != X1
    | rearsegP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_41,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_42,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_43,plain,
    ( ~ ssList(X1)
    | ~ rearsegP(nil,X1)
    | skaf46(nil,X1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_32]),c_0_37])]) ).

cnf(c_0_44,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(nil,X2)
    | rearsegP(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37])]) ).

cnf(c_0_45,plain,
    ( ~ ssList(X1)
    | nil != X1
    | rearsegP(nil,X1) ),
    c_0_40 ).

cnf(c_0_46,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    c_0_41 ).

cnf(c_0_47,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    c_0_42 ).

cnf(c_0_48,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_49,plain,
    ( ~ ssList(X1)
    | ~ rearsegP(nil,X1)
    | app(nil,X1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_37])]) ).

cnf(c_0_50,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | nil != X2
    | rearsegP(X1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X2,X3)
    | ~ frontsegP(X1,X2)
    | frontsegP(X1,X3) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_52,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_53,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_54,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_55,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_56,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | app(X3,X1) != X2
    | X1 = skaf45(X2,X3) ),
    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_30]) ).

cnf(c_0_57,plain,
    ( ~ ssList(X1)
    | nil != X1
    | app(nil,X1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_37])]) ).

cnf(c_0_58,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X2,X3)
    | ~ frontsegP(X1,X2)
    | frontsegP(X1,X3) ),
    c_0_51 ).

cnf(c_0_59,negated_conjecture,
    ( frontsegP(sk4,sk3)
    | nil = sk3 ),
    co1_12 ).

cnf(c_0_60,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_62,plain,
    ( ~ ssList(X1)
    | nil != X1
    | frontsegP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_64,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | nil != X1
    | nil != X2
    | X1 = skaf45(X2,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_37])]) ).

cnf(c_0_65,plain,
    ( ~ ssList(X1)
    | frontsegP(X1,nil) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ ssList(X1)
    | ~ frontsegP(X1,sk4)
    | frontsegP(X1,sk3)
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]) ).

cnf(c_0_67,plain,
    ( ~ ssList(X1)
    | nil != X1
    | frontsegP(nil,X1) ),
    c_0_62 ).

cnf(c_0_68,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    c_0_63 ).

cnf(c_0_69,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_70,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | segmentP(app(app(X4,X1),X3),X2) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssList(X1)
    | nil != X1
    | sk4 != nil
    | skaf45(X1,nil) = sk4 ),
    inference(spm,[status(thm)],[c_0_64,c_0_61]) ).

cnf(c_0_73,plain,
    ( ~ ssList(X1)
    | frontsegP(X1,nil) ),
    c_0_65 ).

cnf(c_0_74,negated_conjecture,
    ( sk4 != nil
    | frontsegP(nil,sk3)
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_37]),c_0_61])]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk4,X1)
    | ~ segmentP(sk3,X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_53]),c_0_55]) ).

cnf(c_0_76,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_69,c_0_55]) ).

cnf(c_0_77,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_78,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | segmentP(app(app(X4,X1),X3),X2) ),
    c_0_70 ).

cnf(c_0_79,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    c_0_71 ).

cnf(c_0_80,negated_conjecture,
    ( ~ ssList(X1)
    | nil != X1
    | sk4 != nil
    | app(nil,sk4) = X1 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_72]),c_0_37])]),c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    ( sk4 != nil
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_74]),c_0_60])]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ segmentP(sk4,sk4)
    | ~ segmentP(sk3,sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_61])]) ).

cnf(c_0_83,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    c_0_77 ).

cnf(c_0_84,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ segmentP(X1,X3)
    | segmentP(app(X1,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_37])]) ).

cnf(c_0_85,negated_conjecture,
    ( sk4 != nil
    | app(nil,sk4) = sk3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    ~ segmentP(sk3,sk4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_61])]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(nil,X1)
    | sk4 != nil
    | segmentP(sk3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_61]),c_0_37])]) ).

cnf(c_0_88,plain,
    ( ~ ssList(X1)
    | nil != X1
    | segmentP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ segmentP(nil,sk4)
    | sk4 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_61])]) ).

cnf(c_0_90,plain,
    ( ~ ssList(X1)
    | nil != X1
    | segmentP(nil,X1) ),
    c_0_88 ).

cnf(c_0_91,negated_conjecture,
    ( neq(sk3,nil)
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_92,negated_conjecture,
    sk4 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_61])]) ).

cnf(c_0_93,negated_conjecture,
    ( frontsegP(sk4,sk3)
    | nil = sk4 ),
    co1_10 ).

cnf(c_0_94,negated_conjecture,
    neq(sk3,nil),
    inference(sr,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ segmentP(X3,X2)
    | ~ frontsegP(X1,X3)
    | segmentP(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_47]),c_0_48])]) ).

cnf(c_0_96,negated_conjecture,
    frontsegP(sk4,sk3),
    inference(sr,[status(thm)],[c_0_93,c_0_92]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ segmentP(sk4,sk3)
    | ~ segmentP(sk3,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_94]),c_0_60])]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk3,X1)
    | segmentP(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_60]),c_0_61])]) ).

cnf(c_0_99,negated_conjecture,
    ~ segmentP(sk3,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_60])]) ).

cnf(c_0_100,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_83]),c_0_60])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n010.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 07:54:55 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.59  % Version: 3.5.1
% 0.17/0.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.59  % Starting new_bool_3 with 300s (1) cores
% 0.17/0.59  % Starting new_bool_1 with 300s (1) cores
% 0.17/0.59  % Starting sh5l with 300s (1) cores
% 0.17/0.59  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 413868 completed with status 0
% 0.17/0.59  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.59  % No SInE strategy applied
% 0.17/0.59  % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.59  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.59  % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.59  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.17/0.59  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.17/0.59  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.17/0.59  % G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 413877 completed with status 0
% 0.17/0.59  % Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 0.17/0.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.59  % No SInE strategy applied
% 0.17/0.59  % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.59  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.59  % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.59  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.17/0.59  % Preprocessing time       : 0.004 s
% 0.17/0.59  % Presaturation interreduction done
% 0.17/0.59  
% 0.17/0.59  % Proof found!
% 0.17/0.59  % SZS status Unsatisfiable
% 0.17/0.59  % SZS output start CNFRefutation
% See solution above
% 0.17/0.59  % Parsed axioms                        : 197
% 0.17/0.59  % Removed by relevancy pruning/SinE    : 0
% 0.17/0.59  % Initial clauses                      : 197
% 0.17/0.59  % Removed in clause preprocessing      : 0
% 0.17/0.59  % Initial clauses in saturation        : 197
% 0.17/0.59  % Processed clauses                    : 1322
% 0.17/0.59  % ...of these trivial                  : 85
% 0.17/0.59  % ...subsumed                          : 510
% 0.17/0.59  % ...remaining for further processing  : 727
% 0.17/0.59  % Other redundant clauses eliminated   : 129
% 0.17/0.59  % Clauses deleted for lack of memory   : 0
% 0.17/0.59  % Backward-subsumed                    : 78
% 0.17/0.59  % Backward-rewritten                   : 9
% 0.17/0.59  % Generated clauses                    : 4566
% 0.17/0.59  % ...of the previous two non-redundant : 3976
% 0.17/0.59  % ...aggressively subsumed             : 0
% 0.17/0.59  % Contextual simplify-reflections      : 93
% 0.17/0.59  % Paramodulations                      : 4380
% 0.17/0.59  % Factorizations                       : 0
% 0.17/0.59  % NegExts                              : 0
% 0.17/0.59  % Equation resolutions                 : 159
% 0.17/0.59  % Disequality decompositions           : 0
% 0.17/0.59  % Total rewrite steps                  : 3271
% 0.17/0.59  % ...of those cached                   : 3085
% 0.17/0.59  % Propositional unsat checks           : 0
% 0.17/0.59  %    Propositional check models        : 0
% 0.17/0.59  %    Propositional check unsatisfiable : 0
% 0.17/0.59  %    Propositional clauses             : 0
% 0.17/0.59  %    Propositional clauses after purity: 0
% 0.17/0.59  %    Propositional unsat core size     : 0
% 0.17/0.59  %    Propositional preprocessing time  : 0.000
% 0.17/0.59  %    Propositional encoding time       : 0.000
% 0.17/0.59  %    Propositional solver time         : 0.000
% 0.17/0.59  %    Success case prop preproc time    : 0.000
% 0.17/0.59  %    Success case prop encoding time   : 0.000
% 0.17/0.59  %    Success case prop solver time     : 0.000
% 0.17/0.59  % Current number of processed clauses  : 422
% 0.17/0.59  %    Positive orientable unit clauses  : 71
% 0.17/0.59  %    Positive unorientable unit clauses: 0
% 0.17/0.59  %    Negative unit clauses             : 14
% 0.17/0.59  %    Non-unit-clauses                  : 337
% 0.17/0.59  % Current number of unprocessed clauses: 2837
% 0.17/0.59  % ...number of literals in the above   : 19136
% 0.17/0.59  % Current number of archived formulas  : 0
% 0.17/0.59  % Current number of archived clauses   : 296
% 0.17/0.59  % Clause-clause subsumption calls (NU) : 38335
% 0.17/0.59  % Rec. Clause-clause subsumption calls : 6740
% 0.17/0.59  % Non-unit clause-clause subsumptions  : 516
% 0.17/0.59  % Unit Clause-clause subsumption calls : 2466
% 0.17/0.59  % Rewrite failures with RHS unbound    : 0
% 0.17/0.59  % BW rewrite match attempts            : 6
% 0.17/0.59  % BW rewrite match successes           : 6
% 0.17/0.59  % Condensation attempts                : 0
% 0.17/0.59  % Condensation successes               : 0
% 0.17/0.59  % Termbank termtop insertions          : 87479
% 0.17/0.59  % Search garbage collected termcells   : 536
% 0.17/0.59  
% 0.17/0.59  % -------------------------------------------------
% 0.17/0.59  % User time                : 0.149 s
% 0.17/0.59  % System time              : 0.010 s
% 0.17/0.59  % Total time               : 0.160 s
% 0.17/0.59  % Maximum resident set size: 4068 pages
% 0.17/0.59  
% 0.17/0.59  % -------------------------------------------------
% 0.17/0.59  % User time                : 0.646 s
% 0.17/0.59  % System time              : 0.055 s
% 0.17/0.59  % Total time               : 0.701 s
% 0.17/0.59  % Maximum resident set size: 5120 pages
% 0.17/0.59  % E exiting
%------------------------------------------------------------------------------