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LisaST---0.9.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWC065-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 : Sun Sep 27 08:54:08 AM UTC 2026

% Result   : Unsatisfiable 67.94s 17.92s
% Output   : CNFRefutation 67.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   25
% Syntax   : Number of clauses     :  137 (  34 unt;   7 nHn; 135 RR)
%            Number of literals    :  372 ( 118 equ; 232 neg)
%            Maximal clause size   :    7 (   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   :   98 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
    ssList(sk1) ).

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

cnf(co1_5,negated_conjecture,
    sk2 = sk4 ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3 ).

cnf(co1_7,negated_conjecture,
    ssList(sk5) ).

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4 ).

cnf(co1_11,negated_conjecture,
    ( nil != sk3
    | nil = sk4 ) ).

cnf(co1_13,negated_conjecture,
    ( ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ neq(X0,nil)
    | ~ ssList(X0)
    | nil = sk2 ) ).

cnf(co1_14,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ) ).

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

cnf(clause51,axiom,
    ssList(skaf45(X0,X1)) ).

cnf(clause56,axiom,
    ( segmentP(X0,nil)
    | ~ ssList(X0) ) ).

cnf(clause57,axiom,
    ( segmentP(X0,X0)
    | ~ ssList(X0) ) ).

cnf(clause60,axiom,
    ( frontsegP(X0,nil)
    | ~ ssList(X0) ) ).

cnf(clause73,axiom,
    ( app(X0,nil) = X0
    | ~ ssList(X0) ) ).

cnf(clause74,axiom,
    ( app(nil,X0) = X0
    | ~ ssList(X0) ) ).

cnf(clause100,axiom,
    ( X1 = X0
    | neq(X1,X0)
    | ~ ssList(X1)
    | ~ ssList(X0) ) ).

cnf(clause115,axiom,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ~ neq(X0,X1)
    | X0 != X1 ) ).

cnf(clause119,axiom,
    ( nil = X1
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) != nil ) ).

cnf(clause127,axiom,
    ( X1 = X0
    | ~ ssList(X1)
    | ~ ssList(X0)
    | ~ segmentP(X1,X0)
    | ~ segmentP(X0,X1) ) ).

cnf(clause132,axiom,
    ( app(X1,skaf45(X0,X1)) = X0
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ frontsegP(X0,X1) ) ).

cnf(clause137,axiom,
    ( frontsegP(app(X0,X2),X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X0,X1) ) ).

cnf(clause149,axiom,
    ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0) ) ).

cnf(clause150,axiom,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) != app(X0,X2) ) ).

cnf(clause172,axiom,
    ( segmentP(app(app(X3,X0),X2),X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ segmentP(X0,X1) ) ).

cnf(c0,plain,
    ssList(sk1),
    inference(clausification,[status(esa)],[co1_1]) ).

cnf(c1,plain,
    ssList(sk2),
    inference(clausification,[status(esa)],[co1_2]) ).

cnf(c4,plain,
    sk2 = sk4,
    inference(clausification,[status(esa)],[co1_5]) ).

cnf(c5,plain,
    sk1 = sk3,
    inference(clausification,[status(esa)],[co1_6]) ).

cnf(c6,plain,
    ssList(sk5),
    inference(clausification,[status(esa)],[co1_7]) ).

cnf(c7,plain,
    app(sk3,sk5) = sk4,
    inference(clausification,[status(esa)],[co1_8]) ).

cnf(c10,plain,
    ( nil != sk3
    | nil = sk4 ),
    inference(clausification,[status(esa)],[co1_11]) ).

cnf(c12,plain,
    ( ~ neq(X0,nil)
    | nil = sk2
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[co1_13]) ).

cnf(c13,plain,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(clausification,[status(esa)],[co1_14]) ).

cnf(c22,plain,
    ssList(nil),
    inference(clausification,[status(esa)],[clause8]) ).

cnf(c65,plain,
    ssList(skaf45(X0,X1)),
    inference(clausification,[status(esa)],[clause51]) ).

cnf(c70,plain,
    ( segmentP(X0,nil)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause56]) ).

cnf(c71,plain,
    ( segmentP(X0,X0)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause57]) ).

cnf(c74,plain,
    ( frontsegP(X0,nil)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause60]) ).

cnf(c87,plain,
    ( app(X0,nil) = X0
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause73]) ).

cnf(c88,plain,
    ( app(nil,X0) = X0
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause74]) ).

cnf(c114,plain,
    ( X1 = X0
    | neq(X1,X0)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause100]) ).

cnf(c129,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ~ neq(X0,X1)
    | X0 != X1 ),
    inference(clausification,[status(esa)],[clause115]) ).

cnf(c133,plain,
    ( nil = X1
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) != nil ),
    inference(clausification,[status(esa)],[clause119]) ).

cnf(c141,plain,
    ( X0 = X1
    | ~ segmentP(X1,X0)
    | ~ segmentP(X0,X1)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause127]) ).

cnf(c146,plain,
    ( app(X1,skaf45(X0,X1)) = X0
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ frontsegP(X0,X1) ),
    inference(clausification,[status(esa)],[clause132]) ).

cnf(c151,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | frontsegP(app(X0,X2),X1)
    | ~ ssList(X0)
    | ~ frontsegP(X0,X1) ),
    inference(clausification,[status(esa)],[clause137]) ).

cnf(c163,plain,
    ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause149]) ).

cnf(c164,plain,
    ( X2 = X1
    | app(X0,X2) != app(X0,X1)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause150]) ).

cnf(c186,plain,
    ( ~ segmentP(X2,X3)
    | ~ ssList(X3)
    | segmentP(app(app(X0,X2),X1),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause172]) ).

cnf(d0,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0)
    | ~ ssList(X0) ),
    inference(equality_resolution,[status(thm)],[c129]) ).

cnf(d1,plain,
    ( ~ ssList(X0)
    | ~ segmentP(nil,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil ),
    inference(resolution,[status(thm)],[c141,c70]) ).

cnf(d2,plain,
    ( ~ segmentP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(resolution,[status(thm)],[c22,d1]) ).

cnf(d3,plain,
    ( ~ ssList(X0)
    | ~ segmentP(X0,X2)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(nil)
    | segmentP(app(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c88,c186]) ).

cnf(d4,plain,
    ( segmentP(app(X2,X1),X0)
    | ~ segmentP(X2,X0)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c22,d3]) ).

cnf(d5,plain,
    app(sk1,sk5) = sk4,
    inference(demodulation,[status(thm)],[c7,c5]) ).

cnf(d6,plain,
    app(sk1,sk5) = sk2,
    inference(demodulation,[status(thm)],[d5,c4]) ).

cnf(d7,plain,
    ( ~ segmentP(sk1,X0)
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(sk1)
    | segmentP(sk2,X0) ),
    inference(superposition,[status(thm)],[d6,d4]) ).

cnf(d8,plain,
    ( segmentP(sk2,X0)
    | ~ segmentP(sk1,X0)
    | ~ ssList(sk5)
    | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c0,d7]) ).

cnf(d9,plain,
    ( segmentP(sk2,X0)
    | ~ segmentP(sk1,X0)
    | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c6,d8]) ).

cnf(d10,plain,
    ( ~ ssList(sk1)
    | segmentP(sk2,sk1)
    | ~ ssList(sk1) ),
    inference(resolution,[status(thm)],[d9,c71]) ).

cnf(d11,plain,
    segmentP(sk2,sk1),
    inference(resolution,[status(thm)],[c0,d10]) ).

cnf(d12,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ neq(sk1,nil)
    | ~ ssList(sk1)
    | nil = sk2 ),
    inference(resolution,[status(thm)],[d11,c12]) ).

cnf(d13,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ neq(sk1,nil)
    | nil = sk2 ),
    inference(resolution,[status(thm)],[c0,d12]) ).

cnf(d14,plain,
    ( ~ ssList(sk1)
    | ~ neq(sk1,nil)
    | nil = sk2 ),
    inference(resolution,[status(thm)],[d13,c71]) ).

cnf(d15,plain,
    ( ~ neq(sk1,nil)
    | nil = sk2 ),
    inference(resolution,[status(thm)],[c0,d14]) ).

cnf(d16,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk1)
    | sk1 = nil
    | nil = sk2 ),
    inference(resolution,[status(thm)],[d15,c114]) ).

cnf(d17,plain,
    ( ~ ssList(nil)
    | nil = sk2
    | sk1 = nil ),
    inference(resolution,[status(thm)],[c0,d16]) ).

cnf(d18,plain,
    ( nil = sk2
    | sk1 = nil ),
    inference(resolution,[status(thm)],[c22,d17]) ).

cnf(d19,plain,
    ( sk1 = nil
    | segmentP(nil,sk1) ),
    inference(superposition,[status(thm)],[d18,d11]) ).

cnf(d20,plain,
    ( ~ ssList(sk1)
    | sk1 = nil
    | sk1 = nil ),
    inference(resolution,[status(thm)],[d19,d2]) ).

cnf(d21,plain,
    sk1 = nil,
    inference(resolution,[status(thm)],[c0,d20]) ).

cnf(d22,plain,
    ( nil = sk4
    | nil != sk1 ),
    inference(demodulation,[status(thm)],[c10,c5]) ).

cnf(d23,plain,
    ( nil = sk2
    | nil != sk1 ),
    inference(demodulation,[status(thm)],[d22,c4]) ).

cnf(d24,plain,
    ( nil = sk2
    | nil != nil ),
    inference(demodulation,[status(thm)],[d23,d21]) ).

cnf(d25,plain,
    nil = sk2,
    inference(equality_resolution,[status(thm)],[d24]) ).

cnf(d26,plain,
    ( neq(sk2,nil)
    | nil != nil ),
    inference(demodulation,[status(thm)],[c13,d21]) ).

cnf(d27,plain,
    ( neq(nil,nil)
    | nil != nil ),
    inference(demodulation,[status(thm)],[d26,d25]) ).

cnf(d28,plain,
    app(nil,sk5) = sk2,
    inference(demodulation,[status(thm)],[d6,d21]) ).

cnf(d29,plain,
    ( ~ ssList(sk5)
    | ~ ssList(X0)
    | ~ ssList(sk1)
    | sk5 = X0
    | sk2 != app(sk1,X0) ),
    inference(superposition,[status(thm)],[d6,c164]) ).

cnf(d30,plain,
    ( ~ ssList(sk5)
    | ~ ssList(X0)
    | sk5 = X0
    | sk2 != app(sk1,X0) ),
    inference(resolution,[status(thm)],[c0,d29]) ).

cnf(d31,plain,
    ( ~ ssList(X0)
    | sk5 = X0
    | sk2 != app(sk1,X0) ),
    inference(resolution,[status(thm)],[c6,d30]) ).

cnf(d32,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk5)
    | ~ ssList(X0)
    | app(sk2,X0) = app(sk1,app(sk5,X0)) ),
    inference(superposition,[status(thm)],[d6,c163]) ).

cnf(d33,plain,
    ( ~ ssList(sk5)
    | ~ ssList(X0)
    | app(sk2,X0) = app(sk1,app(sk5,X0)) ),
    inference(resolution,[status(thm)],[c0,d32]) ).

cnf(d34,plain,
    ( ~ ssList(X0)
    | app(sk2,X0) = app(sk1,app(sk5,X0)) ),
    inference(resolution,[status(thm)],[c6,d33]) ).

cnf(d35,plain,
    ( ~ ssList(sk5)
    | ~ ssList(nil)
    | app(sk2,nil) = app(sk1,sk5) ),
    inference(superposition,[status(thm)],[c87,d34]) ).

cnf(d36,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk5)
    | app(sk2,nil) = sk2 ),
    inference(demodulation,[status(thm)],[d35,d6]) ).

cnf(d37,plain,
    ( ~ ssList(nil)
    | app(sk2,nil) = sk2 ),
    inference(resolution,[status(thm)],[c6,d36]) ).

cnf(d38,plain,
    app(sk2,nil) = sk2,
    inference(resolution,[status(thm)],[c22,d37]) ).

cnf(d39,plain,
    ( ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) = app(nil,app(X0,X1)) ),
    inference(superposition,[status(thm)],[c88,c163]) ).

cnf(d40,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) = app(nil,app(X0,X1)) ),
    inference(resolution,[status(thm)],[c22,d39]) ).

cnf(d41,plain,
    ( ~ ssList(X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | app(X0,nil) = app(nil,X0) ),
    inference(superposition,[status(thm)],[c87,d40]) ).

cnf(d42,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = app(nil,X0) ),
    inference(resolution,[status(thm)],[c22,d41]) ).

cnf(d43,plain,
    ( ~ ssList(sk5)
    | ~ ssList(nil)
    | app(sk2,nil) = app(sk1,app(nil,sk5)) ),
    inference(superposition,[status(thm)],[d42,d34]) ).

cnf(d44,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk5)
    | sk2 = app(sk1,app(nil,sk5)) ),
    inference(demodulation,[status(thm)],[d43,d38]) ).

cnf(d45,plain,
    ( ~ ssList(nil)
    | sk2 = app(sk1,app(nil,sk5)) ),
    inference(resolution,[status(thm)],[c6,d44]) ).

cnf(d46,plain,
    sk2 = app(sk1,app(nil,sk5)),
    inference(resolution,[status(thm)],[c22,d45]) ).

cnf(d47,plain,
    ( ~ ssList(app(nil,sk5))
    | sk5 = app(nil,sk5)
    | sk2 != sk2 ),
    inference(superposition,[status(thm)],[d46,d31]) ).

cnf(d48,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk5)
    | app(sk1,sk5) = app(nil,sk2) ),
    inference(superposition,[status(thm)],[d6,d40]) ).

cnf(d49,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk1)
    | sk2 = app(nil,sk2) ),
    inference(demodulation,[status(thm)],[d48,d6]) ).

cnf(d50,plain,
    ( ~ ssList(sk5)
    | sk2 = app(nil,sk2) ),
    inference(resolution,[status(thm)],[c0,d49]) ).

cnf(d51,plain,
    sk2 = app(nil,sk2),
    inference(resolution,[status(thm)],[c6,d50]) ).

cnf(d52,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | app(sk2,nil) = app(nil,sk2) ),
    inference(superposition,[status(thm)],[d38,d40]) ).

cnf(d53,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk2)
    | sk2 = app(nil,sk2) ),
    inference(demodulation,[status(thm)],[d52,d38]) ).

cnf(d54,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk2)
    | sk2 = sk2 ),
    inference(demodulation,[status(thm)],[d53,d51]) ).

cnf(d55,plain,
    ( ~ ssList(nil)
    | sk2 = sk2 ),
    inference(resolution,[status(thm)],[c1,d54]) ).

cnf(d56,plain,
    sk2 = sk2,
    inference(resolution,[status(thm)],[c22,d55]) ).

cnf(d57,plain,
    ( ~ ssList(app(nil,sk5))
    | sk5 = app(nil,sk5) ),
    inference(resolution,[status(thm)],[d56,d47]) ).

cnf(d58,plain,
    ( ~ ssList(app(nil,sk5))
    | sk5 = sk2 ),
    inference(demodulation,[status(thm)],[d57,d28]) ).

cnf(d59,plain,
    ( ~ ssList(sk2)
    | sk5 = sk2 ),
    inference(demodulation,[status(thm)],[d58,d28]) ).

cnf(d60,plain,
    sk5 = sk2,
    inference(resolution,[status(thm)],[c1,d59]) ).

cnf(d61,plain,
    sk5 = nil,
    inference(demodulation,[status(thm)],[d60,d25]) ).

cnf(d62,plain,
    ( ~ frontsegP(X1,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X0)
    | ~ ssList(skaf45(X1,X0))
    | nil = skaf45(X1,X0)
    | X1 != nil ),
    inference(superposition,[status(thm)],[c146,c133]) ).

cnf(d63,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X1)
    | ~ ssList(X0)
    | nil = skaf45(X0,X1)
    | X0 != nil ),
    inference(resolution,[status(thm)],[c65,d62]) ).

cnf(d64,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(nil)
    | ~ ssList(X0)
    | nil = skaf45(nil,X0) ),
    inference(equality_resolution,[status(thm)],[d63]) ).

cnf(d65,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | nil = skaf45(nil,X0) ),
    inference(resolution,[status(thm)],[c22,d64]) ).

cnf(d66,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | app(X0,nil) = nil ),
    inference(superposition,[status(thm)],[d65,c146]) ).

cnf(d67,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | app(X0,nil) = nil ),
    inference(resolution,[status(thm)],[c22,d66]) ).

cnf(d68,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | ~ ssList(X0)
    | nil = app(nil,X0) ),
    inference(superposition,[status(thm)],[d67,d42]) ).

cnf(d69,plain,
    ( ~ frontsegP(nil,sk5)
    | ~ ssList(sk5)
    | sk2 = app(sk1,nil) ),
    inference(superposition,[status(thm)],[d68,d46]) ).

cnf(d70,plain,
    ( ~ frontsegP(nil,sk5)
    | sk2 = app(sk1,nil) ),
    inference(resolution,[status(thm)],[c6,d69]) ).

cnf(d71,plain,
    ( ~ frontsegP(nil,sk5)
    | ~ ssList(sk1)
    | sk2 = sk1 ),
    inference(superposition,[status(thm)],[d70,c87]) ).

cnf(d72,plain,
    ( ~ frontsegP(nil,sk5)
    | sk2 = sk1 ),
    inference(resolution,[status(thm)],[c0,d71]) ).

cnf(d73,plain,
    ( ~ frontsegP(nil,sk5)
    | sk2 = nil ),
    inference(demodulation,[status(thm)],[d72,d21]) ).

cnf(d74,plain,
    ( ~ frontsegP(nil,sk5)
    | nil = nil ),
    inference(demodulation,[status(thm)],[d73,d25]) ).

cnf(d75,plain,
    ( ~ frontsegP(nil,nil)
    | nil = nil ),
    inference(demodulation,[status(thm)],[d74,d61]) ).

cnf(d76,plain,
    ( ~ frontsegP(sk1,X0)
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(sk1)
    | frontsegP(sk2,X0) ),
    inference(superposition,[status(thm)],[d6,c151]) ).

cnf(d77,plain,
    ( frontsegP(sk2,X0)
    | ~ frontsegP(sk1,X0)
    | ~ ssList(sk5)
    | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c0,d76]) ).

cnf(d78,plain,
    ( frontsegP(sk2,X0)
    | ~ frontsegP(sk1,X0)
    | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c6,d77]) ).

cnf(d79,plain,
    ( ~ ssList(sk1)
    | frontsegP(sk2,nil)
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[d78,c74]) ).

cnf(d80,plain,
    ( frontsegP(sk2,nil)
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[c0,d79]) ).

cnf(d81,plain,
    frontsegP(sk2,nil),
    inference(resolution,[status(thm)],[c22,d80]) ).

cnf(d82,plain,
    frontsegP(nil,nil),
    inference(demodulation,[status(thm)],[d81,d25]) ).

cnf(d83,plain,
    nil = nil,
    inference(resolution,[status(thm)],[d82,d75]) ).

cnf(d84,plain,
    neq(nil,nil),
    inference(resolution,[status(thm)],[d83,d27]) ).

cnf(d85,plain,
    ~ ssList(nil),
    inference(resolution,[status(thm)],[d84,d0]) ).

cnf(d86,plain,
    $false,
    inference(resolution,[status(thm)],[c22,d85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC065-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37  % Computer : n020.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Sat Sep 26 12:11:24 UTC 2026
% 0.10/5.37  % CPUTime  : 
% 0.10/5.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.94/17.92  % SZS status Unsatisfiable for theBenchmark.p
% 67.94/17.92  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------