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LisaST---0.9.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWC002-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 08:53:53 AM UTC 2026

% Result   : Unsatisfiable 116.37s 24.38s
% Output   : CNFRefutation 116.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   18
% Syntax   : Number of clauses     :  109 (  23 unt;   1 nHn; 109 RR)
%            Number of literals    :  360 ( 133 equ; 261 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   70 (   0 sgn)

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

cnf(co1_5,negated_conjecture,
    sk2 = sk4 ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3 ).

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

cnf(co1_19,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5(X2,X1,X0))
    | app(X1,X2) != sk1
    | app(app(X1,cons(X0,nil)),X2) != sk2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X0) ) ).

cnf(co1_20,negated_conjecture,
    ( ~ neq(sk4,nil)
    | memberP(sk2,sk5(X2,X1,X0))
    | app(X1,X2) != sk1
    | app(app(X1,cons(X0,nil)),X2) != sk2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X0) ) ).

cnf(co1_21,negated_conjecture,
    ( ~ neq(sk4,nil)
    | geq(sk5(X2,X1,X0),X0)
    | app(X1,X2) != sk1
    | app(app(X1,cons(X0,nil)),X2) != sk2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X0) ) ).

cnf(co1_22,negated_conjecture,
    ( ~ neq(sk4,nil)
    | X0 != sk5(X2,X1,X0)
    | app(X1,X2) != sk1
    | app(app(X1,cons(X0,nil)),X2) != sk2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X0) ) ).

cnf(co1_23,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ) ).

cnf(co1_24,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ) ).

cnf(co1_25,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk8) ) ).

cnf(co1_26,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(app(sk7,cons(sk6,nil)),sk8) = sk4 ) ).

cnf(co1_27,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk7,sk8) = sk3 ) ).

cnf(co1_28,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ geq(X0,sk6)
    | ~ memberP(sk4,X0)
    | sk6 = X0
    | ~ ssItem(X0) ) ).

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

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

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

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

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

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,
    neq(sk2,nil),
    inference(clausification,[status(esa)],[co1_7]) ).

cnf(c18,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(X0)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | app(app(X1,cons(X2,nil)),X0) != sk2
    | app(X1,X0) != sk1
    | ssItem(sk5(X0,X1,X2)) ),
    inference(clausification,[status(esa)],[co1_19]) ).

cnf(c19,plain,
    ( memberP(sk2,sk5(X0,X1,X2))
    | ~ ssItem(X2)
    | app(app(X1,cons(X2,nil)),X0) != sk2
    | ~ neq(sk4,nil)
    | app(X1,X0) != sk1
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[co1_20]) ).

cnf(c20,plain,
    ( app(app(X0,cons(X2,nil)),X1) != sk2
    | ~ ssList(X1)
    | geq(sk5(X1,X0,X2),X2)
    | ~ neq(sk4,nil)
    | ~ ssItem(X2)
    | app(X0,X1) != sk1
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[co1_21]) ).

cnf(c21,plain,
    ( ~ ssList(X2)
    | app(X2,X1) != sk1
    | app(app(X2,cons(X0,nil)),X1) != sk2
    | ~ ssList(X1)
    | ~ neq(sk4,nil)
    | X0 != sk5(X1,X2,X0)
    | ~ ssItem(X0) ),
    inference(clausification,[status(esa)],[co1_22]) ).

cnf(c22,plain,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ),
    inference(clausification,[status(esa)],[co1_23]) ).

cnf(c23,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    inference(clausification,[status(esa)],[co1_24]) ).

cnf(c24,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk8) ),
    inference(clausification,[status(esa)],[co1_25]) ).

cnf(c25,plain,
    ( ~ neq(sk4,nil)
    | app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
    inference(clausification,[status(esa)],[co1_26]) ).

cnf(c26,plain,
    ( ~ neq(sk4,nil)
    | app(sk7,sk8) = sk3 ),
    inference(clausification,[status(esa)],[co1_27]) ).

cnf(c27,plain,
    ( ~ memberP(sk4,X0)
    | sk6 = X0
    | ~ neq(sk4,nil)
    | ~ ssItem(X0)
    | ~ geq(X0,sk6) ),
    inference(clausification,[status(esa)],[co1_28]) ).

cnf(c35,plain,
    ssList(nil),
    inference(clausification,[status(esa)],[clause8]) ).

cnf(c100,plain,
    ( app(X0,nil) = X0
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause73]) ).

cnf(c101,plain,
    ( app(nil,X0) = X0
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause74]) ).

cnf(c176,plain,
    ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0) ),
    inference(clausification,[status(esa)],[clause149]) ).

cnf(d0,plain,
    ( ~ neq(sk4,nil)
    | app(sk7,sk8) = sk1 ),
    inference(demodulation,[status(thm)],[c26,c5]) ).

cnf(d1,plain,
    ( ~ neq(sk2,nil)
    | app(sk7,sk8) = sk1 ),
    inference(demodulation,[status(thm)],[d0,c4]) ).

cnf(d2,plain,
    app(sk7,sk8) = sk1,
    inference(resolution,[status(thm)],[c6,d1]) ).

cnf(d3,plain,
    ( ~ ssItem(X0)
    | ~ neq(sk2,nil)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X2,cons(X0,nil)),X1) != sk2
    | app(X2,X1) != sk1
    | X0 != sk5(X1,X2,X0) ),
    inference(demodulation,[status(thm)],[c21,c4]) ).

cnf(d4,plain,
    ( ~ ssItem(X0)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X2,cons(X0,nil)),X1) != sk2
    | app(X2,X1) != sk1
    | X0 != sk5(X1,X2,X0) ),
    inference(resolution,[status(thm)],[c6,d3]) ).

cnf(d5,plain,
    ( ~ neq(sk4,nil)
    | app(app(sk7,cons(sk6,nil)),sk8) = sk2 ),
    inference(demodulation,[status(thm)],[c25,c4]) ).

cnf(d6,plain,
    ( ~ neq(sk2,nil)
    | app(app(sk7,cons(sk6,nil)),sk8) = sk2 ),
    inference(demodulation,[status(thm)],[d5,c4]) ).

cnf(d7,plain,
    app(app(sk7,cons(sk6,nil)),sk8) = sk2,
    inference(resolution,[status(thm)],[c6,d6]) ).

cnf(d8,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | app(sk7,sk8) != sk1
    | sk6 != sk5(sk8,sk7,sk6)
    | sk2 != sk2 ),
    inference(superposition,[status(thm)],[d7,d4]) ).

cnf(d9,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk6 != sk5(sk8,sk7,sk6)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(demodulation,[status(thm)],[d8,d2]) ).

cnf(d10,plain,
    ( ssItem(sk6)
    | ~ neq(sk2,nil) ),
    inference(demodulation,[status(thm)],[c22,c4]) ).

cnf(d11,plain,
    ssItem(sk6),
    inference(resolution,[status(thm)],[c6,d10]) ).

cnf(d12,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk6 != sk5(sk8,sk7,sk6)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(resolution,[status(thm)],[d11,d9]) ).

cnf(d13,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk7) ),
    inference(demodulation,[status(thm)],[c23,c4]) ).

cnf(d14,plain,
    ssList(sk7),
    inference(resolution,[status(thm)],[c6,d13]) ).

cnf(d15,plain,
    ( ~ ssList(sk8)
    | sk6 != sk5(sk8,sk7,sk6)
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d14,d12]) ).

cnf(d16,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk8) ),
    inference(demodulation,[status(thm)],[c24,c4]) ).

cnf(d17,plain,
    ssList(sk8),
    inference(resolution,[status(thm)],[c6,d16]) ).

cnf(d18,plain,
    ( sk6 != sk5(sk8,sk7,sk6)
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d17,d15]) ).

cnf(d19,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | app(X0,X1) = app(nil,app(X0,X1)) ),
    inference(superposition,[status(thm)],[c101,c176]) ).

cnf(d20,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) = app(nil,app(X0,X1)) ),
    inference(resolution,[status(thm)],[c35,d19]) ).

cnf(d21,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | app(sk7,sk8) = app(nil,sk1) ),
    inference(superposition,[status(thm)],[d2,d20]) ).

cnf(d22,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 = app(nil,sk1) ),
    inference(demodulation,[status(thm)],[d21,d2]) ).

cnf(d23,plain,
    ( ~ ssList(sk8)
    | sk1 = app(nil,sk1) ),
    inference(resolution,[status(thm)],[d14,d22]) ).

cnf(d24,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[status(thm)],[d17,d23]) ).

cnf(d25,plain,
    ( ~ ssList(X0)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | app(sk1,X0) = app(sk7,app(sk8,X0)) ),
    inference(superposition,[status(thm)],[d2,c176]) ).

cnf(d26,plain,
    ( ~ ssList(sk8)
    | ~ ssList(X0)
    | app(sk1,X0) = app(sk7,app(sk8,X0)) ),
    inference(resolution,[status(thm)],[d14,d25]) ).

cnf(d27,plain,
    ( ~ ssList(X0)
    | app(sk1,X0) = app(sk7,app(sk8,X0)) ),
    inference(resolution,[status(thm)],[d17,d26]) ).

cnf(d28,plain,
    ( ~ ssList(sk8)
    | ~ ssList(nil)
    | app(sk1,nil) = app(sk7,sk8) ),
    inference(superposition,[status(thm)],[c100,d27]) ).

cnf(d29,plain,
    ( ~ ssList(sk8)
    | ~ ssList(nil)
    | app(sk1,nil) = sk1 ),
    inference(demodulation,[status(thm)],[d28,d2]) ).

cnf(d30,plain,
    ( ~ ssList(sk8)
    | app(sk1,nil) = sk1 ),
    inference(resolution,[status(thm)],[c35,d29]) ).

cnf(d31,plain,
    app(sk1,nil) = sk1,
    inference(resolution,[status(thm)],[d17,d30]) ).

cnf(d32,plain,
    ( ~ ssList(sk1)
    | ~ ssList(nil)
    | app(sk1,nil) = app(nil,sk1) ),
    inference(superposition,[status(thm)],[d31,d20]) ).

cnf(d33,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk1)
    | sk1 = app(nil,sk1) ),
    inference(demodulation,[status(thm)],[d32,d31]) ).

cnf(d34,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk1)
    | sk1 = sk1 ),
    inference(demodulation,[status(thm)],[d33,d24]) ).

cnf(d35,plain,
    ( ~ ssList(nil)
    | sk1 = sk1 ),
    inference(resolution,[status(thm)],[c0,d34]) ).

cnf(d36,plain,
    sk1 = sk1,
    inference(resolution,[status(thm)],[c35,d35]) ).

cnf(d37,plain,
    ( sk6 != sk5(sk8,sk7,sk6)
    | sk2 != sk2 ),
    inference(resolution,[status(thm)],[d36,d18]) ).

cnf(d38,plain,
    ( ~ geq(X0,sk6)
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | ~ neq(sk2,nil)
    | sk6 = X0 ),
    inference(demodulation,[status(thm)],[c27,c4]) ).

cnf(d39,plain,
    ( ~ geq(X0,sk6)
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | ~ neq(sk2,nil)
    | sk6 = X0 ),
    inference(demodulation,[status(thm)],[d38,c4]) ).

cnf(d40,plain,
    ( ~ geq(X0,sk6)
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | sk6 = X0 ),
    inference(resolution,[status(thm)],[c6,d39]) ).

cnf(d41,plain,
    ( geq(sk5(X1,X0,X2),X2)
    | ~ ssItem(X2)
    | ~ neq(sk2,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(app(X0,cons(X2,nil)),X1) != sk2
    | app(X0,X1) != sk1 ),
    inference(demodulation,[status(thm)],[c20,c4]) ).

cnf(d42,plain,
    ( geq(sk5(X1,X0,X2),X2)
    | ~ ssItem(X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(app(X0,cons(X2,nil)),X1) != sk2
    | app(X0,X1) != sk1 ),
    inference(resolution,[status(thm)],[c6,d41]) ).

cnf(d43,plain,
    ( geq(sk5(sk8,sk7,sk6),sk6)
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | app(sk7,sk8) != sk1
    | sk2 != sk2 ),
    inference(superposition,[status(thm)],[d7,d42]) ).

cnf(d44,plain,
    ( geq(sk5(sk8,sk7,sk6),sk6)
    | ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(demodulation,[status(thm)],[d43,d2]) ).

cnf(d45,plain,
    ( geq(sk5(sk8,sk7,sk6),sk6)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(resolution,[status(thm)],[d11,d44]) ).

cnf(d46,plain,
    ( geq(sk5(sk8,sk7,sk6),sk6)
    | ~ ssList(sk8)
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d14,d45]) ).

cnf(d47,plain,
    ( geq(sk5(sk8,sk7,sk6),sk6)
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d17,d46]) ).

cnf(d48,plain,
    ( geq(sk5(sk8,sk7,sk6),sk6)
    | sk1 != sk1 ),
    inference(equality_resolution,[status(thm)],[d47]) ).

cnf(d49,plain,
    geq(sk5(sk8,sk7,sk6),sk6),
    inference(equality_resolution,[status(thm)],[d48]) ).

cnf(d50,plain,
    ( ~ memberP(sk2,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6))
    | sk6 = sk5(sk8,sk7,sk6) ),
    inference(resolution,[status(thm)],[d49,d40]) ).

cnf(d51,plain,
    ( memberP(sk2,sk5(X1,X0,X2))
    | ~ ssItem(X2)
    | ~ neq(sk2,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(app(X0,cons(X2,nil)),X1) != sk2
    | app(X0,X1) != sk1 ),
    inference(demodulation,[status(thm)],[c19,c4]) ).

cnf(d52,plain,
    ( memberP(sk2,sk5(X1,X0,X2))
    | ~ ssItem(X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(app(X0,cons(X2,nil)),X1) != sk2
    | app(X0,X1) != sk1 ),
    inference(resolution,[status(thm)],[c6,d51]) ).

cnf(d53,plain,
    ( memberP(sk2,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | app(sk7,sk8) != sk1
    | sk2 != sk2 ),
    inference(superposition,[status(thm)],[d7,d52]) ).

cnf(d54,plain,
    ( memberP(sk2,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(demodulation,[status(thm)],[d53,d2]) ).

cnf(d55,plain,
    ( memberP(sk2,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(resolution,[status(thm)],[d11,d54]) ).

cnf(d56,plain,
    ( memberP(sk2,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d14,d55]) ).

cnf(d57,plain,
    ( memberP(sk2,sk5(sk8,sk7,sk6))
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d17,d56]) ).

cnf(d58,plain,
    ( memberP(sk2,sk5(sk8,sk7,sk6))
    | sk1 != sk1 ),
    inference(equality_resolution,[status(thm)],[d57]) ).

cnf(d59,plain,
    memberP(sk2,sk5(sk8,sk7,sk6)),
    inference(equality_resolution,[status(thm)],[d58]) ).

cnf(d60,plain,
    ( ~ ssItem(sk5(sk8,sk7,sk6))
    | sk6 = sk5(sk8,sk7,sk6) ),
    inference(resolution,[status(thm)],[d59,d50]) ).

cnf(d61,plain,
    ( ssItem(sk5(X1,X0,X2))
    | ~ ssItem(X2)
    | ~ neq(sk2,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(app(X0,cons(X2,nil)),X1) != sk2
    | app(X0,X1) != sk1 ),
    inference(demodulation,[status(thm)],[c18,c4]) ).

cnf(d62,plain,
    ( ssItem(sk5(X1,X0,X2))
    | ~ ssItem(X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(app(X0,cons(X2,nil)),X1) != sk2
    | app(X0,X1) != sk1 ),
    inference(resolution,[status(thm)],[c6,d61]) ).

cnf(d63,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | app(sk7,sk8) != sk1
    | sk2 != sk2 ),
    inference(superposition,[status(thm)],[d7,d62]) ).

cnf(d64,plain,
    ( ~ ssItem(sk6)
    | ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(demodulation,[status(thm)],[d63,d2]) ).

cnf(d65,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk1 != sk1
    | sk2 != sk2 ),
    inference(resolution,[status(thm)],[d11,d64]) ).

cnf(d66,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d14,d65]) ).

cnf(d67,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | sk2 != sk2
    | sk1 != sk1 ),
    inference(resolution,[status(thm)],[d17,d66]) ).

cnf(d68,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | sk1 != sk1 ),
    inference(equality_resolution,[status(thm)],[d67]) ).

cnf(d69,plain,
    ssItem(sk5(sk8,sk7,sk6)),
    inference(equality_resolution,[status(thm)],[d68]) ).

cnf(d70,plain,
    sk6 = sk5(sk8,sk7,sk6),
    inference(resolution,[status(thm)],[d69,d60]) ).

cnf(d71,plain,
    sk2 != sk2,
    inference(resolution,[status(thm)],[d70,d37]) ).

cnf(d72,plain,
    $false,
    inference(equality_resolution,[status(thm)],[d71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC002-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep 26 12:02:18 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.37/24.38  % SZS status Unsatisfiable for theBenchmark.p
% 116.37/24.38  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------