%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 09:30:03 AM UTC 2026
% Result : Unsatisfiable 16.81s 2.66s
% Output : CNFRefutation 16.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 33
% Syntax : Number of clauses : 273 ( 8 unt; 182 nHn; 241 RR)
% Number of literals : 1341 ( 0 equ; 711 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 479 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
ssRr(skf3(X0),X0) ).
cnf(clause2,negated_conjecture,
ssRr(X0,skf2(X0)) ).
cnf(clause4,negated_conjecture,
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause5,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause6,negated_conjecture,
( ssPv3(X1)
| ssPv1(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause8,negated_conjecture,
( ssPv2(X1)
| ssPv1(X1)
| ssPv2(X2)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause9,negated_conjecture,
( ssPv4(X1)
| ssPv1(X2)
| ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause11,negated_conjecture,
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause12,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause13,negated_conjecture,
( ssPv1(X1)
| ssPv2(X2)
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause14,negated_conjecture,
( ssPv1(X1)
| ssPv4(X2)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause17,negated_conjecture,
( ssPv3(X1)
| ssPv1(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause18,negated_conjecture,
( ssPv2(X2)
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause20,negated_conjecture,
( ssPv2(X2)
| ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause22,negated_conjecture,
( ssPv3(X0)
| ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause23,negated_conjecture,
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause24,negated_conjecture,
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause25,negated_conjecture,
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause26,negated_conjecture,
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause27,negated_conjecture,
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause28,negated_conjecture,
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause30,negated_conjecture,
( ssPv4(X2)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause31,negated_conjecture,
( ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause32,negated_conjecture,
( ssPv1(X2)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause33,negated_conjecture,
( ssPv1(X2)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause34,negated_conjecture,
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause36,negated_conjecture,
( ssPv3(X0)
| ssPv2(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ) ).
cnf(clause38,negated_conjecture,
( ssPv2(X1)
| ssPv4(X3)
| ssPv4(X0)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ) ).
cnf(clause44,negated_conjecture,
( ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause45,negated_conjecture,
( ssPv1(X3)
| ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause46,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X3)
| ~ ssRr(X3,X1)
| ~ ssPv3(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause49,negated_conjecture,
( ssPv2(X3)
| ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ) ).
cnf(clause50,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ) ).
cnf(c0,plain,
ssRr(skf3(X0),X0),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
ssRr(X0,skf2(X0)),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c3,plain,
( ~ ssRr(X1,X0)
| ssPv3(X1)
| ~ ssPv4(X1)
| ssPv2(X1)
| ssPv1(X0) ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c4,plain,
( ssPv4(X0)
| ssPv1(X0)
| ~ ssRr(X1,X0)
| ssPv2(X1)
| ~ ssPv2(X0) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
( ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssRr(X1,X0)
| ssPv2(X1)
| ssPv3(X0) ),
inference(clausification,[status(esa)],[clause6]) ).
cnf(c7,plain,
( ssPv4(X2)
| ~ ssRr(X1,X0)
| ssPv1(X1)
| ~ ssRr(X2,X1)
| ssPv2(X1)
| ssPv2(X0) ),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c8,plain,
( ~ ssRr(X2,X1)
| ssPv4(X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv1(X0) ),
inference(clausification,[status(esa)],[clause9]) ).
cnf(c10,plain,
( ~ ssRr(X1,X0)
| ssPv3(X1)
| ssPv4(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0) ),
inference(clausification,[status(esa)],[clause11]) ).
cnf(c11,plain,
( ~ ssRr(X2,X1)
| ~ ssPv2(X2)
| ssPv3(X1)
| ~ ssRr(X1,X0)
| ssPv2(X1)
| ssPv2(X0) ),
inference(clausification,[status(esa)],[clause12]) ).
cnf(c12,plain,
( ssPv2(X1)
| ssPv1(X0)
| ssPv4(X2)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0) ),
inference(clausification,[status(esa)],[clause13]) ).
cnf(c13,plain,
( ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv1(X0)
| ssPv4(X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause14]) ).
cnf(c16,plain,
( ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(clausification,[status(esa)],[clause17]) ).
cnf(c17,plain,
( ~ ssRr(X0,X1)
| ssPv2(X2)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ssPv4(X0) ),
inference(clausification,[status(esa)],[clause18]) ).
cnf(c19,plain,
( ~ ssPv1(X1)
| ~ ssRr(X2,X1)
| ssPv2(X0)
| ~ ssPv2(X1)
| ssPv3(X2)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause20]) ).
cnf(c21,plain,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X2)
| ssPv1(X1)
| ~ ssPv3(X0) ),
inference(clausification,[status(esa)],[clause22]) ).
cnf(c22,plain,
( ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ssPv2(X1)
| ssPv2(X0) ),
inference(clausification,[status(esa)],[clause23]) ).
cnf(c23,plain,
( ~ ssPv2(X2)
| ~ ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssRr(X0,X2)
| ssPv2(X1)
| ssPv2(X0) ),
inference(clausification,[status(esa)],[clause24]) ).
cnf(c24,plain,
( ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssPv1(X1)
| ssPv2(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause25]) ).
cnf(c25,plain,
( ~ ssPv1(X1)
| ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ssPv3(X0) ),
inference(clausification,[status(esa)],[clause26]) ).
cnf(c26,plain,
( ~ ssPv2(X0)
| ~ ssRr(X2,X0)
| ssPv1(X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0) ),
inference(clausification,[status(esa)],[clause27]) ).
cnf(c27,plain,
( ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ssPv1(X0)
| ~ ssPv2(X2)
| ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause28]) ).
cnf(c29,plain,
( ~ ssPv3(X2)
| ~ ssPv2(X2)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X1)
| ssPv4(X1)
| ~ ssPv1(X0) ),
inference(clausification,[status(esa)],[clause30]) ).
cnf(c30,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(X2)
| ~ ssPv1(X0)
| ssPv3(X1)
| ~ ssPv3(X0) ),
inference(clausification,[status(esa)],[clause31]) ).
cnf(c31,plain,
( ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ssPv1(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0) ),
inference(clausification,[status(esa)],[clause32]) ).
cnf(c32,plain,
( ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause33]) ).
cnf(c33,plain,
( ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0) ),
inference(clausification,[status(esa)],[clause34]) ).
cnf(c35,plain,
( ssPv4(X3)
| ~ ssRr(X1,X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ssPv2(X2)
| ~ ssRr(X1,X0)
| ~ ssPv2(X0) ),
inference(clausification,[status(esa)],[clause36]) ).
cnf(c37,plain,
( ~ ssRr(X2,X0)
| ~ ssRr(X0,X3)
| ssPv4(X3)
| ~ ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(clausification,[status(esa)],[clause38]) ).
cnf(c43,plain,
( ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ssPv3(X0)
| ~ ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause44]) ).
cnf(c44,plain,
( ~ ssPv2(X2)
| ~ ssPv2(X1)
| ssPv1(X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0) ),
inference(clausification,[status(esa)],[clause45]) ).
cnf(c45,plain,
( ~ ssRr(X3,X2)
| ~ ssPv4(X3)
| ssPv2(X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0) ),
inference(clausification,[status(esa)],[clause46]) ).
cnf(c48,plain,
( ~ ssPv4(X3)
| ~ ssPv1(X2)
| ssPv2(X1)
| ~ ssRr(X3,X0)
| ~ ssPv1(X0)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(clausification,[status(esa)],[clause49]) ).
cnf(c49,plain,
( ~ ssRr(X2,X1)
| ~ ssRr(X3,X1)
| ~ ssRr(X1,X0)
| ~ ssPv3(X3)
| ~ ssPv4(X2)
| ssPv1(X1)
| ~ ssPv3(X0) ),
inference(clausification,[status(esa)],[clause50]) ).
cnf(d0,plain,
( ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c49,c0]) ).
cnf(d1,plain,
( ssPv2(skf3(X1))
| ssPv2(X1)
| ssPv1(skf3(X1))
| ssPv4(X0)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d2,plain,
( ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d4,plain,
( ssPv2(X1)
| ~ ssPv2(X0)
| ssPv1(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(d5,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv2(skf3(X0))
| ssPv1(skf3(skf3(X0)))
| ssPv3(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf3(X0))
| ~ ssRr(skf3(X0),X1)
| ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(skf3(X0)))
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ ssPv2(X1)
| ~ ssPv1(skf3(X0))
| ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c31,c0]) ).
cnf(d10,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ssPv1(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
( ~ ssPv2(X1)
| ssPv1(X1)
| ssPv1(X0)
| ssPv4(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c13,c1]) ).
cnf(d12,plain,
( ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
( ~ ssPv2(X1)
| ssPv1(X1)
| ssPv1(X0)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c26,c1]) ).
cnf(d14,plain,
( ~ ssPv2(X1)
| ssPv1(skf3(X1))
| ssPv1(X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
( ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
( ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssPv1(X2)
| ssPv3(skf3(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c43,c0]) ).
cnf(d18,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[d17,c0]) ).
cnf(d19,plain,
( ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d20,plain,
( ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv2(X1)
| ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(d21,plain,
( ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c22,c0]) ).
cnf(d22,plain,
( ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
( ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
( ssPv2(X0)
| ssPv2(X1)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
( ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d24,c1]) ).
cnf(d26,plain,
( ssPv2(X0)
| ~ ssPv2(skf2(X0))
| ~ ssPv1(X1)
| ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c25,c1]) ).
cnf(d27,plain,
( ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(X1)
| ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[d26,d25]) ).
cnf(d28,plain,
( ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d27,c1]) ).
cnf(d29,plain,
( ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d28,d19]) ).
cnf(d30,plain,
( ~ ssPv1(skf3(X0))
| ssPv1(X1)
| ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c21,c0]) ).
cnf(d31,plain,
( ~ ssPv1(skf3(X0))
| ssPv1(X0)
| ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d30,c0]) ).
cnf(d32,plain,
( ssPv1(X0)
| ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d15,d31]) ).
cnf(d33,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d32,d16]) ).
cnf(d34,plain,
( ssPv2(X1)
| ssPv2(skf2(X1))
| ssPv1(X1)
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d35,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d34,c1]) ).
cnf(d36,plain,
( ~ ssPv2(skf2(X1))
| ssPv2(X0)
| ~ ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[c19,c1]) ).
cnf(d37,plain,
( ~ ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[d36,c1]) ).
cnf(d38,plain,
( ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv2(skf2(X0))
| ~ ssPv1(skf2(skf2(X0)))
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[d37,d35]) ).
cnf(d39,plain,
( ~ ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d40,plain,
( ~ ssPv2(skf2(X1))
| ssPv1(skf2(X1))
| ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ssPv1(X0)
| ssPv1(skf2(X1))
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[d13,d39]) ).
cnf(d41,plain,
( ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d40,c1]) ).
cnf(d42,plain,
( ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv1(skf2(skf2(X0)))
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[d41,d35]) ).
cnf(d43,plain,
( ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d42,d38]) ).
cnf(d44,plain,
( ssPv2(skf2(X1))
| ssPv1(X1)
| ~ ssPv3(X1)
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c12,c1]) ).
cnf(d45,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d44,c1]) ).
cnf(d46,plain,
( ssPv2(X1)
| ~ ssPv2(skf2(X1))
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c23,c1]) ).
cnf(d47,plain,
( ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ssPv4(X1)
| ssPv2(X0)
| ssPv2(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[d46,d45]) ).
cnf(d48,plain,
( ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d47,c1]) ).
cnf(d49,plain,
( ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d48,d43]) ).
cnf(d50,plain,
( ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d49,d33]) ).
cnf(d51,plain,
( ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d52,plain,
( ssPv2(X0)
| ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d53,plain,
( ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d49,d52]) ).
cnf(d54,plain,
( ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d53,d51]) ).
cnf(d55,plain,
( ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d54,d50]) ).
cnf(d56,plain,
( ssPv2(skf2(X0))
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c10,c1]) ).
cnf(d57,plain,
( ssPv2(skf2(X0))
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d56,c1]) ).
cnf(d58,plain,
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d55,d57]) ).
cnf(d59,plain,
( ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d58,d37]) ).
cnf(d60,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d59,d55]) ).
cnf(d61,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv2(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d60,d16]) ).
cnf(d62,plain,
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d61,d29]) ).
cnf(d63,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d62,d16]) ).
cnf(d64,plain,
( ~ ssPv2(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d63,d18]) ).
cnf(d65,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d64,c1]) ).
cnf(d66,plain,
( ~ ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv2(X1)
| ssPv3(skf2(X0))
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[c11,c1]) ).
cnf(d67,plain,
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[d66,c1]) ).
cnf(d68,plain,
( ssPv2(skf2(X0))
| ~ ssPv1(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[d67,d37]) ).
cnf(d69,plain,
( ssPv2(skf2(X1))
| ~ ssPv2(X0)
| ssPv1(X1)
| ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(d70,plain,
( ssPv2(skf2(skf2(X0)))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[d69,c1]) ).
cnf(d71,plain,
( ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ssPv1(skf2(skf2(X0)))
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[d41,d70]) ).
cnf(d72,plain,
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[d71,d68]) ).
cnf(d73,plain,
( ~ ssPv2(X1)
| ~ ssPv2(X0)
| ssPv1(skf2(X1))
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c44,c1]) ).
cnf(d74,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[d73,c0]) ).
cnf(d75,plain,
( ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d63,d74]) ).
cnf(d76,plain,
( ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv1(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[d75,c1]) ).
cnf(d77,plain,
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d76,d72]) ).
cnf(d78,plain,
( ssPv1(skf2(X0))
| ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d77,d41]) ).
cnf(d79,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d78,d65]) ).
cnf(d80,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d79,d16]) ).
cnf(d81,plain,
( ssPv2(X0)
| ~ ssPv2(X1)
| ssPv1(X0)
| ~ ssPv4(skf2(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c27,c1]) ).
cnf(d82,plain,
( ~ ssPv1(skf2(X1))
| ssPv1(X0)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(d83,plain,
( ~ ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d82,c1]) ).
cnf(d84,plain,
( ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d49,d41]) ).
cnf(d85,plain,
( ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d84,d83]) ).
cnf(d86,plain,
( ssPv2(X0)
| ~ ssPv2(X1)
| ssPv1(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d85,d81]) ).
cnf(d87,plain,
( ssPv2(X0)
| ~ ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d86,c1]) ).
cnf(d88,plain,
( ~ ssPv2(X1)
| ~ ssPv1(X0)
| ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c31,c1]) ).
cnf(d89,plain,
( ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d88,c1]) ).
cnf(d90,plain,
( ssPv2(skf2(X1))
| ~ ssPv1(X0)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1))
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[c45,c1]) ).
cnf(d91,plain,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[d90,c1]) ).
cnf(d92,plain,
( ssPv2(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d91,c1]) ).
cnf(d93,plain,
( ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d92,d89]) ).
cnf(d94,plain,
( ~ ssPv2(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c33,c1]) ).
cnf(d95,plain,
( ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d92,d94]) ).
cnf(d96,plain,
( ~ ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d95,c1]) ).
cnf(d97,plain,
( ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d96,d93]) ).
cnf(d98,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d55,d97]) ).
cnf(d99,plain,
( ssPv2(skf2(X0))
| ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d85,d29]) ).
cnf(d100,plain,
( ssPv2(X0)
| ~ ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d99,d98]) ).
cnf(d101,plain,
( ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d100,d85]) ).
cnf(d102,plain,
( ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d101,d87]) ).
cnf(d103,plain,
( ssPv2(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d102,d29]) ).
cnf(d104,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv1(X1)
| ~ ssPv3(X0)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c32,c0]) ).
cnf(d105,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d104,c0]) ).
cnf(d106,plain,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ssPv2(X0)
| ~ ssPv3(skf3(X1))
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[c23,c0]) ).
cnf(d107,plain,
( ssPv2(skf3(X0))
| ssPv2(skf3(skf3(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d106,c0]) ).
cnf(d108,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d107,d105]) ).
cnf(d109,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0))
| ssPv1(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d80,d107]) ).
cnf(d110,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d109,d108]) ).
cnf(d111,plain,
( ssPv2(skf3(X0))
| ssPv1(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[d110,d103]) ).
cnf(d112,plain,
( ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[d111,d80]) ).
cnf(d113,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X0))
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c33,c0]) ).
cnf(d114,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(skf2(skf3(X0)))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d113,c1]) ).
cnf(d115,plain,
( ~ ssPv2(X0)
| ~ ssPv1(X0)
| ssPv1(X1)
| ~ ssPv3(skf2(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c32,c1]) ).
cnf(d116,plain,
( ~ ssPv2(X0)
| ~ ssPv1(X0)
| ssPv1(X1)
| ~ ssRr(X0,X1)
| ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[d72,d115]) ).
cnf(d117,plain,
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[d116,c1]) ).
cnf(d118,plain,
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[d117,d80]) ).
cnf(d119,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[d118,d114]) ).
cnf(d120,plain,
( ~ ssPv1(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(X1)
| ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c30,c1]) ).
cnf(d121,plain,
( ~ ssPv2(X0)
| ssPv1(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d88,c0]) ).
cnf(d122,plain,
( ~ ssPv1(skf3(X0))
| ssPv3(X1)
| ~ ssPv3(skf3(X0))
| ~ ssRr(X1,skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d121,d120]) ).
cnf(d123,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv3(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d122,c0]) ).
cnf(d124,plain,
( ~ ssPv2(X0)
| ssPv2(X1)
| ~ ssPv3(X0)
| ssPv4(skf3(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c17,c0]) ).
cnf(d125,plain,
( ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv3(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d124,c0]) ).
cnf(d126,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d112,d97]) ).
cnf(d127,plain,
( ~ ssPv1(skf3(X0))
| ssPv1(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d30,c1]) ).
cnf(d128,plain,
( ~ ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d114,d127]) ).
cnf(d129,plain,
( ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d112,d128]) ).
cnf(d130,plain,
( ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv3(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d129,d125]) ).
cnf(d131,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d130,d126]) ).
cnf(d132,plain,
( ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d131,d125]) ).
cnf(d133,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d132,d107]) ).
cnf(d134,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d133,d123]) ).
cnf(d135,plain,
( ~ ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d134,d112]) ).
cnf(d136,plain,
( ssPv2(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d135,d60]) ).
cnf(d137,plain,
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d136,d29]) ).
cnf(d138,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d137,d135]) ).
cnf(d139,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d138,d119]) ).
cnf(d140,plain,
( ~ ssPv2(X0)
| ~ ssPv2(X0)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d139,d112]) ).
cnf(d141,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c29,c1]) ).
cnf(d142,plain,
( ~ ssPv2(X0)
| ssPv2(skf2(X0))
| ~ ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d124,c1]) ).
cnf(d143,plain,
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d129,d142]) ).
cnf(d144,plain,
( ~ ssPv2(X0)
| ~ ssPv4(skf3(X0))
| ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d143,d126]) ).
cnf(d145,plain,
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d144,d142]) ).
cnf(d146,plain,
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d145,d80]) ).
cnf(d147,plain,
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[d146,d141]) ).
cnf(d148,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d147,c0]) ).
cnf(d149,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c25,c0]) ).
cnf(d150,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv1(skf2(skf3(X0)))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d149,c1]) ).
cnf(d151,plain,
( ~ ssPv2(X0)
| ssPv2(X1)
| ssPv3(skf3(X0))
| ssPv4(X2)
| ~ ssRr(skf3(X0),X2)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c35,c0]) ).
cnf(d152,plain,
( ~ ssPv2(X0)
| ssPv2(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv4(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[d151,c1]) ).
cnf(d153,plain,
( ssPv2(skf2(skf3(X0)))
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d152,c0]) ).
cnf(d154,plain,
( ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv1(skf2(skf3(X0))) ),
inference(resolution,[status(thm)],[d80,d153]) ).
cnf(d155,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d154,d150]) ).
cnf(d156,plain,
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv4(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d135,d155]) ).
cnf(d157,plain,
( ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ~ ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d156,d148]) ).
cnf(d158,plain,
( ~ ssPv2(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d138,d18]) ).
cnf(d159,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d158,c1]) ).
cnf(d160,plain,
( ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[d159,d118]) ).
cnf(d161,plain,
( ~ ssPv2(X0)
| ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[d160,d157]) ).
cnf(d162,plain,
( ~ ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d161,d138]) ).
cnf(d163,plain,
( ~ ssPv2(X0)
| ~ ssPv2(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d162,d112]) ).
cnf(d164,plain,
( ~ ssPv2(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[d163,d140]) ).
cnf(d165,plain,
( ssPv2(skf3(X1))
| ssPv1(skf3(skf3(X1)))
| ssPv1(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[d164,d8]) ).
cnf(d166,plain,
( ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d55]) ).
cnf(d167,plain,
( ssPv2(X2)
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X1),X2)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[c48,c1]) ).
cnf(d168,plain,
( ssPv2(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[d167,c1]) ).
cnf(d169,plain,
( ssPv2(skf2(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d168,c1]) ).
cnf(d170,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d169]) ).
cnf(d171,plain,
( ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d29]) ).
cnf(d172,plain,
( ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d34,c0]) ).
cnf(d173,plain,
( ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d164,d172]) ).
cnf(d174,plain,
( ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d164,d173]) ).
cnf(d175,plain,
( ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[d174,d171]) ).
cnf(d176,plain,
( ssPv2(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf3(skf2(X0)))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d91,c0]) ).
cnf(d177,plain,
( ~ ssPv1(X0)
| ~ ssPv3(skf3(skf2(X0)))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d176]) ).
cnf(d178,plain,
( ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d177,d175]) ).
cnf(d179,plain,
( ~ ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d178,d170]) ).
cnf(d180,plain,
( ssPv4(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[d179,d166]) ).
cnf(d181,plain,
( ssPv2(X1)
| ~ ssPv1(X2)
| ssPv4(skf2(X1))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c37,c1]) ).
cnf(d182,plain,
( ssPv2(X0)
| ~ ssPv1(X1)
| ssPv4(skf2(X0))
| ssPv4(skf3(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[d181,c0]) ).
cnf(d183,plain,
( ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d182,c1]) ).
cnf(d184,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d55,d183]) ).
cnf(d185,plain,
( ssPv4(skf2(X0))
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d184]) ).
cnf(d186,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d185,d180]) ).
cnf(d187,plain,
( ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d188,plain,
( ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ssPv1(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[d80,d187]) ).
cnf(d189,plain,
( ssPv1(skf3(skf3(X0)))
| ~ ssPv1(X0)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d164,d188]) ).
cnf(d190,plain,
( ssPv2(skf3(X1))
| ssPv2(X0)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(X1)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[c24,c0]) ).
cnf(d191,plain,
( ssPv2(skf3(X0))
| ssPv2(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d190,c0]) ).
cnf(d192,plain,
( ssPv2(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d191]) ).
cnf(d193,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[d164,d192]) ).
cnf(d194,plain,
( ~ ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[d193,d189]) ).
cnf(d195,plain,
( ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[d194,d186]) ).
cnf(d196,plain,
( ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[d195,d166]) ).
cnf(d197,plain,
( ssPv4(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[d196,d180]) ).
cnf(d198,plain,
( ssPv2(skf3(X1))
| ssPv1(skf3(skf3(X1)))
| ssPv1(skf3(X1))
| ~ ssPv3(X2)
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[d197,d165]) ).
cnf(d199,plain,
~ ssPv1(X0),
inference(resolution,[status(thm)],[d197,d179]) ).
cnf(d200,plain,
( ssPv2(skf3(X1))
| ssPv1(skf3(skf3(X1)))
| ~ ssPv3(X2)
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[d199,d198]) ).
cnf(d201,plain,
ssPv3(X0),
inference(resolution,[status(thm)],[d197,d171]) ).
cnf(d202,plain,
( ssPv2(skf3(X1))
| ssPv1(skf3(skf3(X1)))
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[d201,d200]) ).
cnf(d203,plain,
( ssPv2(skf3(X1))
| ssPv1(skf3(skf3(X1)))
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[d202,c0]) ).
cnf(d204,plain,
( ssPv1(skf3(skf3(X1)))
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[d164,d203]) ).
cnf(d205,plain,
~ ssRr(X0,skf3(X1)),
inference(resolution,[status(thm)],[d199,d204]) ).
cnf(d206,plain,
$false,
inference(resolution,[status(thm)],[d205,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:31:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.81/2.66 % SZS status Unsatisfiable for theBenchmark.p
% 16.81/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------