%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN772-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 02:01:58 PM UTC 2026
% Result : Satisfiable 1.01s 0.94s
% Output : Saturation 2.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u228,negated_conjecture,
( ssPv6(skf2(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0))) ) ).
cnf(clause3,negated_conjecture,
( ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv3(X0)
| ssPv5(X0)
| ssPv8(X0) ) ).
cnf(u819,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u498,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(X0)
| ssPv8(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv4(X0)
| ssPv1(skf3(X0)) ) ).
cnf(u191,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ssPv8(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv5(X0) ) ).
cnf(u75,negated_conjecture,
( ssPv3(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u135,negated_conjecture,
( ssPv8(skf3(skf2(X0)))
| ~ ssPv3(X0)
| ssPv2(skf2(X0))
| ~ ssPv5(skf2(X0))
| ssPv7(skf2(X0))
| ~ ssPv3(skf2(X0)) ) ).
cnf(clause22,negated_conjecture,
( ~ ssRr(X0,X3)
| ~ ssPv5(X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X2)
| ~ ssRr(X0,X1)
| ~ ssPv6(X0)
| ssPv7(X3) ) ).
cnf(u66,negated_conjecture,
( ssPv2(skf2(X0))
| ssPv8(skf2(X0))
| ~ ssPv3(X0)
| ssPv4(X0) ) ).
cnf(u94,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ~ ssPv1(X0)
| ssPv5(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u1012,negated_conjecture,
( ssPv6(skf3(skf2(X0)))
| ssPv1(skf3(skf2(X0)))
| ~ ssPv7(skf2(X0))
| ssPv5(skf3(skf2(X0)))
| ssPv2(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv8(X0) ) ).
cnf(u593,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u49,negated_conjecture,
( ~ ssRr(X0,skf2(X1))
| ~ ssPv8(X0)
| ~ ssPv8(skf2(X1))
| ssPv3(X1)
| ssPv6(skf2(X1)) ) ).
cnf(u109,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ~ ssPv7(X0)
| ssPv1(skf3(X0)) ) ).
cnf(u153,negated_conjecture,
( ~ ssPv3(skf2(X0))
| ssPv4(skf3(X0))
| ssPv6(skf2(X0))
| ssPv7(X0) ) ).
cnf(u40,negated_conjecture,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ssPv8(X1)
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u213,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u817,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0)) ) ).
cnf(u112,negated_conjecture,
( ~ ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(X0)
| ssPv8(X0) ) ).
cnf(u288,negated_conjecture,
( ssPv2(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv7(X0)
| ~ ssPv8(skf3(X0)) ) ).
cnf(u172,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv5(X0)
| ~ ssPv7(skf3(X0))
| ssPv8(X1)
| ssPv1(skf3(X0)) ) ).
cnf(u63,negated_conjecture,
( ~ ssPv3(skf3(X1))
| ~ ssRr(X0,X1)
| ~ ssPv5(X0)
| ~ ssPv3(X1)
| ssPv5(X1) ) ).
cnf(clause7,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv5(X0)
| ssPv6(X0) ) ).
cnf(u823,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u1119,negated_conjecture,
( ssPv2(skf2(skf3(X0)))
| ssPv3(skf2(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ssPv7(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv2(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(X0) ) ).
cnf(u1044,negated_conjecture,
( ssPv1(skf3(skf2(X0)))
| ~ ssPv7(skf2(X0))
| ssPv5(skf3(skf2(X0)))
| ssPv2(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv5(skf2(X0))
| ssPv8(skf3(skf2(X0))) ) ).
cnf(clause10,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv8(X0)
| ssPv6(X2)
| ssPv4(X1)
| ssPv8(X1) ) ).
cnf(u314,negated_conjecture,
( ssPv4(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u70,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv5(X0)
| ~ ssPv4(X2)
| ~ ssRr(X1,X0)
| ~ ssPv6(X1)
| ssPv7(skf2(X1)) ) ).
cnf(u242,negated_conjecture,
( ssPv3(skf3(skf2(X0)))
| ssPv2(skf2(X0))
| ssPv7(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv3(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u397,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u25,negated_conjecture,
( ~ ssPv7(skf3(X0))
| ssPv2(X0)
| ssPv5(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u895,negated_conjecture,
( ~ ssPv5(skf2(skf3(X0)))
| ssPv3(skf2(skf3(X0)))
| ssPv2(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv7(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv2(skf3(X0))
| ssPv8(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv1(skf3(X0)) ) ).
cnf(u490,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv4(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(X0) ) ).
cnf(u85,negated_conjecture,
( ssPv8(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(X0) ) ).
cnf(u129,negated_conjecture,
( ssPv5(skf3(skf2(X0)))
| ~ ssPv8(X0)
| ssPv6(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv2(skf2(X0)) ) ).
cnf(u44,negated_conjecture,
( ~ ssRr(skf3(X1),X0)
| ~ ssPv5(X0)
| ~ ssPv5(skf3(X1))
| ssPv7(X1)
| ssPv8(skf3(X1)) ) ).
cnf(u201,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv8(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv8(X1)
| ssPv1(skf3(X0)) ) ).
cnf(u88,negated_conjecture,
( ssPv1(skf2(X0))
| ~ ssPv7(X0)
| ssPv8(skf2(X0))
| ~ ssPv5(X0)
| ~ ssPv2(X0)
| ssPv7(skf2(X0)) ) ).
cnf(u334,negated_conjecture,
( ~ ssPv7(skf2(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ~ ssPv8(skf2(skf3(X0)))
| ssPv2(skf3(X0)) ) ).
cnf(u160,negated_conjecture,
( ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv8(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv3(skf3(X0)) ) ).
cnf(u402,negated_conjecture,
( ssPv2(skf3(skf2(X0)))
| ssPv7(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv6(skf2(X0)) ) ).
cnf(u51,negated_conjecture,
( ~ ssRr(X0,skf2(X1))
| ~ ssPv6(X0)
| ~ ssPv1(skf2(X1))
| ssPv7(X1)
| ssPv3(skf2(X1)) ) ).
cnf(u672,negated_conjecture,
( ssPv2(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv6(skf3(X0))
| ~ ssPv8(skf3(X0))
| ssPv3(skf3(X0)) ) ).
cnf(u331,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv5(X0)
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv1(skf3(X0)) ) ).
cnf(u1024,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u843,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ssPv8(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u271,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ~ ssPv4(skf3(X0))
| ssPv6(X0) ) ).
cnf(u114,negated_conjecture,
( ~ ssPv5(skf3(skf2(X0)))
| ~ ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ssPv5(skf2(X0)) ) ).
cnf(clause14,negated_conjecture,
( ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssPv5(X0)
| ssPv3(X2)
| ssPv7(X0) ) ).
cnf(u186,negated_conjecture,
( ssPv6(skf2(X0))
| ssPv7(X0)
| ssPv3(X0)
| ssPv5(X0)
| ssPv8(X0)
| ~ ssPv1(X0)
| ssPv5(skf3(X0))
| ssPv6(skf3(X0)) ) ).
cnf(u305,negated_conjecture,
( ~ ssPv8(skf2(X0))
| ssPv6(skf2(X0))
| ~ ssPv8(X0)
| ~ ssPv5(X0)
| ~ ssPv3(skf2(X0))
| ssPv5(skf2(X0)) ) ).
cnf(u246,negated_conjecture,
( ssPv7(skf3(skf2(X0)))
| ~ ssPv4(skf2(X0))
| ssPv7(skf2(X0))
| ssPv8(skf3(skf2(X0)))
| ~ ssPv8(X0)
| ssPv6(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv2(skf2(X0)) ) ).
cnf(clause1,negated_conjecture,
ssRr(skf3(X0),X0) ).
cnf(u29,negated_conjecture,
( ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv8(X0)
| ssPv5(skf3(X0)) ) ).
cnf(u981,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv5(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u73,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv5(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u133,negated_conjecture,
( ssPv8(skf3(skf2(X0)))
| ~ ssPv6(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv5(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0)) ) ).
cnf(u32,negated_conjecture,
( ~ ssPv1(skf2(X0))
| ~ ssPv4(X0)
| ssPv5(X0)
| ssPv6(X0) ) ).
cnf(u205,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv4(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ~ ssPv1(X0)
| ssPv2(skf3(X0)) ) ).
cnf(u92,negated_conjecture,
( ~ ssPv3(skf3(X0))
| ssPv8(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u268,negated_conjecture,
( ssPv7(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(X0)
| ssPv3(skf3(X0)) ) ).
cnf(u827,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0)) ) ).
cnf(u136,negated_conjecture,
( ssPv6(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(X0)
| ~ ssPv8(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0)) ) ).
cnf(u588,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u441,negated_conjecture,
( ~ ssPv1(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv6(X0)
| ssPv3(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv3(X0)
| ssPv6(skf2(X0))
| ~ ssPv5(skf2(X0))
| ssPv7(skf2(X0)) ) ).
cnf(u99,negated_conjecture,
( ~ ssPv4(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ssPv3(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u567,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0) ) ).
cnf(u896,negated_conjecture,
( ~ ssPv5(skf2(skf3(X0)))
| ssPv3(skf2(skf3(X0)))
| ssPv2(skf2(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ssPv7(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv2(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u171,negated_conjecture,
( ~ ssPv5(skf2(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv6(skf3(X0))
| ssPv7(skf2(skf3(X0))) ) ).
cnf(u639,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u58,negated_conjecture,
( ssPv6(skf2(X0))
| ssPv8(skf3(X0))
| ssPv4(X0)
| ssPv8(X0) ) ).
cnf(u118,negated_conjecture,
( ~ ssRr(skf2(X1),X0)
| ~ ssPv3(X0)
| ssPv4(X1)
| ssPv6(skf2(skf2(X1)))
| ssPv7(skf2(X1)) ) ).
cnf(u162,negated_conjecture,
( ssPv4(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u699,negated_conjecture,
( ~ ssPv6(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ssPv3(skf3(skf3(X0)))
| ssPv7(skf3(skf3(X0)))
| ssPv6(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(skf2(skf3(X0)))
| ssPv7(skf3(X0)) ) ).
cnf(u341,negated_conjecture,
( ~ ssPv7(skf2(X0))
| ssPv3(X0)
| ssPv5(X0)
| ssPv8(X0)
| ~ ssPv1(X0)
| ssPv5(skf3(X0))
| ssPv6(skf3(X0))
| ssPv7(X0)
| ~ ssPv8(skf2(X0))
| ssPv2(X0) ) ).
cnf(clause5,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv1(X1)
| ssPv6(X1)
| ssPv7(X1) ) ).
cnf(u177,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ssPv6(skf2(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv3(X0)
| ssPv8(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u77,negated_conjecture,
( ~ ssPv8(skf3(X0))
| ~ ssPv8(X0)
| ssPv3(skf3(X0))
| ssPv6(X0) ) ).
cnf(u367,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(X0)
| ~ ssPv4(X0) ) ).
cnf(clause8,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv6(X1)
| ~ ssPv7(X1)
| ~ ssPv8(X1)
| ssPv2(X0) ) ).
cnf(u36,negated_conjecture,
( ~ ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv8(X0)
| ssPv2(X0) ) ).
cnf(u68,negated_conjecture,
( ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv4(X2)
| ssPv6(skf2(X0))
| ssPv7(X0) ) ).
cnf(u80,negated_conjecture,
( ssPv7(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv3(skf2(X0)) ) ).
cnf(u31,negated_conjecture,
( ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ssPv5(skf3(X0))
| ssPv6(skf3(X0)) ) ).
cnf(u43,negated_conjecture,
( ~ ssRr(X1,X0)
| ~ ssPv1(X0)
| ~ ssPv6(X1)
| ssPv5(skf2(X1))
| ssPv8(X1) ) ).
cnf(u652,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u103,negated_conjecture,
( ~ ssPv6(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ssPv7(X0)
| ssPv3(skf2(X0)) ) ).
cnf(u546,negated_conjecture,
( ~ ssPv7(skf3(X0))
| ~ ssPv8(skf3(X0))
| ssPv6(skf3(X0))
| ~ ssPv7(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv2(skf3(X0)) ) ).
cnf(u724,negated_conjecture,
( ~ ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(skf3(X0)))
| ssPv6(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv3(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ssPv8(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ssPv3(skf3(X0)) ) ).
cnf(u147,negated_conjecture,
( ssPv1(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv7(skf2(skf3(X0))) ) ).
cnf(u34,negated_conjecture,
( ~ ssPv6(skf2(X0))
| ~ ssPv7(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv2(X0) ) ).
cnf(u62,negated_conjecture,
( ~ ssPv7(skf2(X0))
| ssPv4(X0)
| ssPv8(X0)
| ssPv8(skf3(X0))
| ~ ssPv8(skf2(X0))
| ssPv2(X0) ) ).
cnf(u650,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u106,negated_conjecture,
( ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv5(X0)
| ssPv2(skf2(X0)) ) ).
cnf(u282,negated_conjecture,
( ~ ssPv3(skf3(skf2(X0)))
| ssPv2(skf2(X0))
| ssPv5(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ~ ssPv4(skf2(X0))
| ssPv2(skf3(skf2(X0))) ) ).
cnf(u166,negated_conjecture,
( ~ ssPv5(skf2(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv6(skf3(X0))
| ssPv7(X0) ) ).
cnf(u210,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u121,negated_conjecture,
( ~ ssPv4(skf2(X1))
| ~ ssPv5(X0)
| ~ ssRr(X1,X0)
| ~ ssPv6(X1)
| ssPv7(skf2(X1)) ) ).
cnf(u461,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(skf3(X0))
| ssPv2(X0) ) ).
cnf(clause12,negated_conjecture,
( ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv6(X0)
| ssPv5(X2)
| ssPv8(X0) ) ).
cnf(u316,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv5(X0)
| ssPv1(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u1125,negated_conjecture,
( ssPv2(skf2(skf3(X0)))
| ssPv3(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv7(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv2(skf3(X0))
| ssPv8(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ~ ssPv1(X0) ) ).
cnf(u84,negated_conjecture,
( ssPv5(skf3(skf2(X0)))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv2(skf2(X0)) ) ).
cnf(u536,negated_conjecture,
( ~ ssPv4(skf3(X0))
| ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u244,negated_conjecture,
( ~ ssPv3(skf3(skf2(X0)))
| ssPv7(skf3(skf2(X0)))
| ~ ssPv4(skf2(X0))
| ssPv7(skf2(X0))
| ssPv8(skf3(skf2(X0)))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv2(skf2(X0)) ) ).
cnf(u128,negated_conjecture,
( ~ ssRr(X1,skf2(X0))
| ~ ssPv8(X0)
| ssPv6(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv5(X1)
| ~ ssPv3(skf2(X0))
| ssPv5(skf2(X0)) ) ).
cnf(clause19,negated_conjecture,
( ~ ssRr(X0,X2)
| ~ ssPv6(X1)
| ~ ssRr(X0,X1)
| ~ ssPv5(X0)
| ~ ssPv7(X0)
| ssPv8(X2) ) ).
cnf(u464,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(X0)
| ssPv7(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u79,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ~ ssPv1(X0)
| ssPv7(skf3(X0))
| ssPv3(X0) ) ).
cnf(u91,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv4(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u487,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv4(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(skf3(X0))
| ~ ssPv7(skf3(X0)) ) ).
cnf(u38,negated_conjecture,
( ~ ssRr(X0,skf3(X1))
| ssPv8(X0)
| ssPv6(X1)
| ssPv4(skf3(X1))
| ssPv8(skf3(X1)) ) ).
cnf(u700,negated_conjecture,
( ~ ssPv6(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ssPv3(skf3(skf3(X0)))
| ssPv7(skf3(skf3(X0)))
| ssPv6(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u82,negated_conjecture,
( ssPv5(skf3(X0))
| ssPv3(skf3(X0))
| ssPv6(X0)
| ~ ssPv8(X0)
| ssPv3(X0) ) ).
cnf(u154,negated_conjecture,
( ssPv4(skf3(X0))
| ssPv6(skf2(X0))
| ssPv7(X0)
| ssPv3(X0)
| ssPv5(X0)
| ssPv8(X0) ) ).
cnf(u330,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0))
| ssPv6(X0)
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u53,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ssPv5(skf3(X1))
| ssPv2(X1) ) ).
cnf(u390,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv8(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv7(skf3(X0)) ) ).
cnf(u97,negated_conjecture,
( ~ ssPv5(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ssPv7(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u125,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ~ ssPv3(X0)
| ssPv4(X1)
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u169,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ssPv7(X0)
| ~ ssPv1(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u56,negated_conjecture,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv7(X1)
| ~ ssPv7(skf3(X1))
| ssPv8(X0)
| ssPv1(skf3(X1)) ) ).
cnf(u229,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv6(skf2(skf3(X0)))
| ssPv8(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u292,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0)) ) ).
cnf(u304,negated_conjecture,
( ~ ssPv5(skf3(skf2(X0)))
| ssPv6(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv8(X0)
| ~ ssPv3(skf2(X0))
| ssPv5(skf2(X0)) ) ).
cnf(u188,negated_conjecture,
( ~ ssPv3(skf3(X0))
| ssPv7(X0)
| ssPv3(X0)
| ssPv5(X0)
| ssPv8(X0)
| ssPv6(skf2(X0))
| ssPv5(skf3(X0)) ) ).
cnf(u876,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u23,negated_conjecture,
( ssPv8(skf3(X0))
| ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv3(X0) ) ).
cnf(u403,negated_conjecture,
( ssPv2(skf3(skf2(X0)))
| ssPv7(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv8(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u67,negated_conjecture,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,skf3(X0))
| ssPv4(X2)
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u547,negated_conjecture,
( ~ ssPv8(skf3(skf2(X0)))
| ssPv6(skf3(skf2(X0)))
| ~ ssPv7(skf2(X0))
| ssPv1(skf3(skf2(X0)))
| ~ ssPv3(skf3(skf2(X0)))
| ssPv5(skf3(skf2(X0)))
| ssPv2(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv3(skf2(X0)) ) ).
cnf(u255,negated_conjecture,
( ssPv5(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv6(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv7(X0)
| ssPv2(skf3(X0)) ) ).
cnf(u26,negated_conjecture,
( ssPv2(skf2(X0))
| ~ ssPv7(X0)
| ssPv5(X0)
| ssPv8(X0) ) ).
cnf(u199,negated_conjecture,
( ssPv7(skf2(X0))
| ssPv8(skf2(X0))
| ~ ssPv5(X0)
| ~ ssPv2(X0)
| ~ ssPv7(X0)
| ~ ssPv6(X0)
| ssPv8(X0) ) ).
cnf(u651,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0)) ) ).
cnf(u86,negated_conjecture,
( ~ ssPv6(skf2(X0))
| ~ ssPv5(X0)
| ~ ssPv7(X0)
| ssPv8(skf2(X0)) ) ).
cnf(u336,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv5(X0)
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u130,negated_conjecture,
( ~ ssRr(skf3(X1),X0)
| ~ ssPv4(X1)
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X1))
| ssPv7(X1) ) ).
cnf(u41,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv8(X1)
| ssPv2(skf2(X0))
| ssPv4(X0) ) ).
cnf(u202,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv8(skf3(X0))
| ssPv4(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ssPv2(skf3(X0)) ) ).
cnf(u101,negated_conjecture,
( ~ ssPv8(skf2(X0))
| ~ ssPv8(X0)
| ssPv3(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u509,negated_conjecture,
( ~ ssPv7(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv8(skf2(skf3(X0)))
| ssPv2(skf3(X0)) ) ).
cnf(u145,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv7(X0)
| ssPv1(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u60,negated_conjecture,
( ~ ssRr(skf3(X1),X0)
| ~ ssPv6(X0)
| ~ ssPv5(skf3(X1))
| ~ ssPv7(skf3(X1))
| ssPv8(X1) ) ).
cnf(u104,negated_conjecture,
( ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv7(X0)
| ssPv3(skf2(X0)) ) ).
cnf(clause4,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv7(X0)
| ssPv2(X1)
| ssPv5(X0)
| ssPv8(X0) ) ).
cnf(u164,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ~ ssPv3(X0)
| ssPv8(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u176,negated_conjecture,
( ssPv6(skf2(skf3(X0)))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0))) ) ).
cnf(u174,negated_conjecture,
( ~ ssRr(X0,skf3(X1))
| ssPv4(X0)
| ssPv6(X1)
| ssPv7(skf3(X1))
| ssPv3(skf3(X1))
| ssPv5(skf3(X1))
| ssPv8(skf3(X1)) ) ).
cnf(u412,negated_conjecture,
( ssPv5(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(skf3(X0)) ) ).
cnf(u446,negated_conjecture,
( ssPv2(skf3(skf2(X0)))
| ssPv5(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ~ ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv8(X0)
| ssPv6(skf2(X0)) ) ).
cnf(clause11,negated_conjecture,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv8(X1)
| ssPv2(X2)
| ssPv4(X0) ) ).
cnf(u760,negated_conjecture,
( ssPv2(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ssPv6(X0) ) ).
cnf(u71,negated_conjecture,
( ssPv5(skf2(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ~ ssPv1(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u451,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv7(skf3(X0)) ) ).
cnf(clause2,negated_conjecture,
ssRr(X0,skf2(X0)) ).
cnf(u30,negated_conjecture,
( ssPv8(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv5(X0) ) ).
cnf(u655,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(X0)
| ~ ssPv5(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u74,negated_conjecture,
( ~ ssPv5(skf2(X0))
| ~ ssPv5(X0)
| ssPv7(skf2(X0))
| ssPv8(X0) ) ).
cnf(u529,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(X0)
| ssPv4(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv6(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(X0) ) ).
cnf(u589,negated_conjecture,
( ssPv7(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(clause17,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv5(X2)
| ssPv2(X1) ) ).
cnf(u45,negated_conjecture,
( ~ ssRr(X1,X0)
| ~ ssPv5(X0)
| ~ ssPv5(X1)
| ssPv7(skf2(X1))
| ssPv8(X1) ) ).
cnf(u425,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv5(skf3(X0)) ) ).
cnf(u89,negated_conjecture,
( ssPv8(skf2(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv8(skf2(X0))
| ~ ssPv5(skf2(X0))
| ~ ssPv7(skf2(X0))
| ssPv8(X0) ) ).
cnf(u149,negated_conjecture,
( ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv5(skf2(X0))
| ssPv2(skf2(X0)) ) ).
cnf(u48,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv8(X0)
| ~ ssPv8(X1)
| ssPv3(skf3(X1))
| ssPv6(X1) ) ).
cnf(u533,negated_conjecture,
( ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv7(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv6(skf2(X0))
| ssPv1(skf2(X0)) ) ).
cnf(u284,negated_conjecture,
( ~ ssPv7(skf2(skf2(X0)))
| ssPv7(skf2(X0))
| ssPv3(skf2(X0))
| ssPv5(skf2(X0))
| ssPv8(skf2(X0))
| ssPv4(X0)
| ~ ssPv8(skf2(skf2(X0)))
| ssPv2(skf2(X0)) ) ).
cnf(u152,negated_conjecture,
( ssPv4(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(skf2(skf3(X0)))
| ssPv7(skf3(X0)) ) ).
cnf(u236,negated_conjecture,
( ~ ssRr(X1,X0)
| ~ ssPv5(X0)
| ~ ssPv2(X0)
| ~ ssPv7(X0)
| ~ ssPv6(X0)
| ssPv8(X0)
| ssPv8(skf2(X0))
| ssPv8(X1)
| ssPv1(X0) ) ).
cnf(u279,negated_conjecture,
( ssPv5(skf3(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv6(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv3(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u212,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv7(X0) ) ).
cnf(u115,negated_conjecture,
( ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv5(X0)
| ssPv5(skf2(X0)) ) ).
cnf(u431,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u175,negated_conjecture,
( ~ ssRr(X0,skf3(X1))
| ssPv4(X0)
| ssPv6(X1)
| ssPv7(skf3(X1))
| ~ ssPv5(skf3(X1))
| ~ ssPv4(X1) ) ).
cnf(u219,negated_conjecture,
( ssPv4(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u383,negated_conjecture,
( ssPv7(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv7(skf3(X0)) ) ).
cnf(u854,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(clause6,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv8(X1)
| ssPv5(X0) ) ).
cnf(u178,negated_conjecture,
( ssPv6(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv7(skf2(X0))
| ssPv3(skf2(X0))
| ssPv5(skf2(X0))
| ssPv8(skf2(X0)) ) ).
cnf(u78,negated_conjecture,
( ssPv3(skf3(skf2(X0)))
| ~ ssPv8(skf2(X0))
| ~ ssPv8(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u297,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ssPv8(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u494,negated_conjecture,
( ~ ssPv5(skf3(skf3(X0)))
| ~ ssPv8(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv6(skf3(X0))
| ~ ssPv7(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0)) ) ).
cnf(u198,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ssPv8(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u426,negated_conjecture,
( ssPv7(skf3(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0)) ) ).
cnf(clause21,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv6(X3)
| ssPv7(X1) ) ).
cnf(u33,negated_conjecture,
( ssPv2(skf3(X0))
| ~ ssPv7(X0)
| ~ ssPv8(X0)
| ~ ssPv6(X0) ) ).
cnf(u410,negated_conjecture,
( ssPv7(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ssPv3(skf3(X0)) ) ).
cnf(u65,negated_conjecture,
( ssPv2(skf2(skf3(X0)))
| ssPv8(X0)
| ~ ssPv3(skf3(X0))
| ssPv4(skf3(X0)) ) ).
cnf(u93,negated_conjecture,
( ssPv8(skf2(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u473,negated_conjecture,
( ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv4(skf3(X0))
| ssPv6(X0)
| ~ ssPv8(skf3(X0))
| ssPv3(skf3(skf3(X0)))
| ssPv6(skf3(X0)) ) ).
cnf(u24,negated_conjecture,
( ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv5(X0)
| ssPv8(X0) ) ).
cnf(u312,negated_conjecture,
( ~ ssPv3(skf2(skf3(X0)))
| ~ ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ssPv6(skf2(skf3(X0)))
| ssPv5(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(X0) ) ).
cnf(u96,negated_conjecture,
( ~ ssPv5(skf3(X0))
| ~ ssPv5(X0)
| ssPv7(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u497,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv7(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u156,negated_conjecture,
( ssPv4(skf3(skf3(X0)))
| ssPv6(skf2(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u47,negated_conjecture,
( ~ ssRr(X1,X0)
| ~ ssPv4(X0)
| ~ ssPv5(X1)
| ssPv3(skf2(X1))
| ssPv7(X1) ) ).
cnf(u59,negated_conjecture,
( ssPv6(skf2(skf2(X0)))
| ssPv8(X0)
| ssPv4(skf2(X0))
| ssPv8(skf2(X0)) ) ).
cnf(u119,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ~ ssPv5(X0)
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv8(X1)
| ssPv1(skf3(X0)) ) ).
cnf(u163,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv3(X0) ) ).
cnf(u622,negated_conjecture,
( ssPv7(skf3(skf2(X0)))
| ~ ssPv4(skf2(X0))
| ssPv7(skf2(X0))
| ssPv8(skf3(skf2(X0)))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv6(skf2(X0)) ) ).
cnf(u50,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv6(X0)
| ~ ssPv1(X1)
| ssPv7(skf3(X1))
| ssPv3(X1) ) ).
cnf(u223,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv6(X0)
| ssPv8(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(u637,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv5(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u301,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv5(X0)
| ssPv1(skf3(X0)) ) ).
cnf(u226,negated_conjecture,
( ssPv8(skf3(skf2(X0)))
| ssPv6(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv5(skf2(X0))
| ssPv7(skf2(X0))
| ~ ssPv8(X0) ) ).
cnf(u254,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv6(skf3(X0))
| ~ ssPv7(X0)
| ~ ssPv5(X1)
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0)) ) ).
cnf(u924,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv5(skf3(skf3(X0))) ) ).
cnf(clause9,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssPv8(X0)
| ssPv2(X0) ) ).
cnf(u462,negated_conjecture,
( ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv3(X0)
| ssPv5(skf3(X0))
| ssPv6(X0)
| ~ ssPv8(skf3(X0))
| ssPv3(skf3(skf3(X0)))
| ssPv6(skf3(X0)) ) ).
cnf(u69,negated_conjecture,
( ~ ssRr(skf3(X1),X2)
| ~ ssPv5(X0)
| ~ ssPv4(X2)
| ~ ssRr(skf3(X1),X0)
| ~ ssPv6(skf3(X1))
| ssPv7(X1) ) ).
cnf(u241,negated_conjecture,
( ~ ssPv3(skf3(skf2(X0)))
| ssPv2(skf2(X0))
| ssPv7(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ssPv2(skf3(skf2(X0))) ) ).
cnf(u141,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ssPv7(X0)
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv1(X0) ) ).
cnf(u28,negated_conjecture,
( ssPv6(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv7(skf2(X0)) ) ).
cnf(u72,negated_conjecture,
( ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv5(skf2(X0))
| ssPv8(X0) ) ).
cnf(u100,negated_conjecture,
( ~ ssPv8(skf3(skf2(X0)))
| ~ ssPv8(skf2(X0))
| ssPv3(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u132,negated_conjecture,
( ~ ssPv5(skf3(skf2(X0)))
| ~ ssPv6(X0)
| ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(skf2(X0))
| ssPv8(skf2(X0)) ) ).
cnf(u144,negated_conjecture,
( ssPv3(skf3(skf3(X0)))
| ~ ssPv7(X0)
| ssPv1(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv6(skf3(X0)) ) ).
cnf(u612,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ssPv3(skf2(skf3(X0)))
| ssPv2(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ~ ssPv5(skf2(skf3(X0)))
| ssPv7(skf2(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv2(skf3(X0)) ) ).
cnf(u35,negated_conjecture,
( ~ ssPv8(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf3(X0)) ) ).
cnf(u204,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv7(skf3(X0))
| ssPv8(X1)
| ssPv1(skf3(X0)) ) ).
cnf(u90,negated_conjecture,
( ~ ssPv7(skf2(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv8(skf2(X0))
| ssPv8(X0)
| ~ ssPv8(skf2(skf2(X0)))
| ssPv2(skf2(X0)) ) ).
cnf(u95,negated_conjecture,
( ~ ssPv1(skf2(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ssPv5(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u538,negated_conjecture,
( ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv7(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv8(skf2(X0))
| ~ ssPv8(X0)
| ssPv6(skf2(X0))
| ssPv1(skf2(X0)) ) ).
cnf(u167,negated_conjecture,
( ~ ssPv3(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv6(skf2(skf2(X0)))
| ssPv7(skf2(X0)) ) ).
cnf(u855,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv5(skf3(X0)) ) ).
cnf(u54,negated_conjecture,
( ~ ssRr(X0,skf2(X1))
| ~ ssPv3(X0)
| ~ ssPv3(skf2(X1))
| ssPv5(X1)
| ssPv2(skf2(X1)) ) ).
cnf(u211,negated_conjecture,
( ~ ssPv5(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ssPv7(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u98,negated_conjecture,
( ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv3(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u126,negated_conjecture,
( ~ ssPv3(skf2(skf3(X0)))
| ~ ssRr(X1,skf3(X0))
| ssPv4(X1)
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u723,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(X0)
| ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv8(skf3(X0))
| ssPv6(skf2(X0))
| ssPv7(X0)
| ssPv3(X0) ) ).
cnf(u751,negated_conjecture,
( ssPv2(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv6(skf3(X0))
| ssPv6(X0) ) ).
cnf(u170,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u270,negated_conjecture,
( ssPv5(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0)) ) ).
cnf(u376,negated_conjecture,
( ~ ssRr(X1,skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(skf3(X0))
| ssPv8(X0)
| ssPv8(X1)
| ssPv1(skf3(X0)) ) ).
cnf(u113,negated_conjecture,
( ~ ssPv6(skf2(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv8(X0) ) ).
cnf(clause13,negated_conjecture,
( ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1)
| ~ ssPv5(X0)
| ssPv7(X2)
| ssPv8(X0) ) ).
cnf(u393,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv8(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv3(skf3(X0))
| ssPv2(X0) ) ).
cnf(u429,negated_conjecture,
( ssPv3(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv4(X0)
| ssPv6(skf3(X0)) ) ).
cnf(clause16,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv6(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv7(X2)
| ssPv3(X1) ) ).
cnf(u76,negated_conjecture,
( ~ ssPv4(skf2(X0))
| ~ ssPv5(X0)
| ssPv3(skf2(X0))
| ssPv7(X0) ) ).
cnf(u39,negated_conjecture,
( ~ ssRr(X0,X1)
| ssPv8(X0)
| ssPv6(skf2(X1))
| ssPv4(X1)
| ssPv8(X1) ) ).
cnf(u395,negated_conjecture,
( ssPv3(skf3(skf3(X0)))
| ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv6(skf3(X0)) ) ).
cnf(u660,negated_conjecture,
( ssPv2(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv6(X0)
| ssPv6(skf3(X0))
| ~ ssPv8(skf3(X0))
| ssPv3(skf3(X0)) ) ).
cnf(u83,negated_conjecture,
( ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ssPv5(skf3(X0))
| ssPv2(X0) ) ).
cnf(u143,negated_conjecture,
( ~ ssPv8(skf2(X0))
| ssPv5(X0)
| ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv8(X0)
| ssPv6(skf2(X0)) ) ).
cnf(u354,negated_conjecture,
( ssPv8(skf2(skf2(X0)))
| ~ ssPv2(skf2(X0))
| ~ ssPv7(skf2(X0))
| ~ ssPv6(skf2(X0))
| ssPv8(skf2(X0))
| ~ ssPv5(skf2(X0))
| ssPv8(X0)
| ssPv1(skf2(X0)) ) ).
cnf(u42,negated_conjecture,
( ~ ssRr(skf3(X1),X0)
| ~ ssPv1(X0)
| ~ ssPv6(skf3(X1))
| ssPv5(X1)
| ssPv8(skf3(X1)) ) ).
cnf(u557,negated_conjecture,
( ~ ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv6(X0)
| ~ ssPv4(X0)
| ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u718,negated_conjecture,
( ~ ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(skf3(X0)))
| ssPv6(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ssPv8(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(X0)
| ssPv7(skf3(X0)) ) ).
cnf(u146,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv7(skf3(X0))
| ssPv8(X0)
| ~ ssPv5(skf3(X0))
| ssPv4(skf3(X0))
| ssPv8(skf3(X0)) ) ).
cnf(u322,negated_conjecture,
( ~ ssPv8(skf2(X0))
| ssPv6(skf2(X0))
| ~ ssPv8(X0)
| ~ ssPv3(skf2(X0))
| ssPv5(skf2(X0))
| ssPv2(skf2(X0)) ) ).
cnf(u629,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv2(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv6(skf3(X0))
| ssPv8(skf3(X0))
| ssPv8(X0)
| ~ ssPv5(skf3(X0))
| ssPv1(skf3(X0)) ) ).
cnf(u57,negated_conjecture,
( ~ ssPv7(skf2(X1))
| ~ ssRr(X0,X1)
| ~ ssPv7(X1)
| ssPv8(X0)
| ssPv1(X1) ) ).
cnf(u353,negated_conjecture,
( ssPv8(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv7(X0)
| ~ ssPv6(X0)
| ssPv8(X0)
| ~ ssPv5(X0)
| ssPv8(skf3(X0))
| ssPv1(X0) ) ).
cnf(u117,negated_conjecture,
( ~ ssRr(X1,X0)
| ~ ssPv3(X0)
| ssPv4(skf3(X1))
| ssPv6(skf2(X1))
| ssPv7(X1) ) ).
cnf(u770,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ) ).
cnf(u161,negated_conjecture,
( ssPv3(skf3(X0))
| ssPv6(X0)
| ~ ssPv8(X0)
| ssPv3(X0)
| ~ ssPv5(X0)
| ssPv7(X0) ) ).
cnf(u189,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ssPv8(skf3(X0))
| ssPv8(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u120,negated_conjecture,
( ~ ssRr(skf3(X1),X0)
| ~ ssPv4(X1)
| ~ ssPv5(X0)
| ~ ssPv6(skf3(X1))
| ssPv7(skf2(skf3(X1))) ) ).
cnf(clause20,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv5(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ssPv5(X1) ) ).
cnf(u180,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv8(skf3(X0)) ) ).
cnf(u64,negated_conjecture,
( ~ ssRr(X0,skf2(X1))
| ~ ssPv5(X0)
| ~ ssPv3(X1)
| ~ ssPv3(skf2(X1))
| ssPv5(skf2(X1)) ) ).
cnf(u628,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv6(X0)
| ssPv7(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv5(skf3(X0)) ) ).
cnf(u252,negated_conjecture,
( ~ ssPv7(skf2(skf3(X0)))
| ~ ssPv6(X0)
| ~ ssPv8(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv7(skf3(X0))
| ssPv2(skf3(X0)) ) ).
cnf(u428,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv7(skf3(X0))
| ssPv8(skf3(X0))
| ssPv1(skf3(X0)) ) ).
cnf(clause15,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv8(X0)
| ~ ssRr(X0,X1)
| ~ ssPv8(X1)
| ssPv3(X2)
| ssPv6(X1) ) ).
cnf(u27,negated_conjecture,
( ~ ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv6(X0)
| ssPv7(X0) ) ).
cnf(u648,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0) ) ).
cnf(u87,negated_conjecture,
( ssPv8(skf2(X0))
| ~ ssPv7(X0)
| ~ ssPv5(X0)
| ssPv8(skf3(X0))
| ssPv4(X0)
| ssPv8(X0) ) ).
cnf(u131,negated_conjecture,
( ~ ssPv4(skf2(skf3(X1)))
| ~ ssPv5(X0)
| ~ ssRr(skf3(X1),X0)
| ~ ssPv6(skf3(X1))
| ssPv7(X1) ) ).
cnf(u111,negated_conjecture,
( ssPv7(skf2(skf3(X0)))
| ~ ssPv1(X0)
| ssPv8(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv6(skf3(X0)) ) ).
cnf(clause18,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv7(X2)
| ~ ssPv7(X1)
| ssPv8(X0)
| ssPv1(X1) ) ).
cnf(u46,negated_conjecture,
( ~ ssRr(skf3(X1),X0)
| ~ ssPv4(X0)
| ~ ssPv5(skf3(X1))
| ssPv3(X1)
| ssPv7(skf3(X1)) ) ).
cnf(u1007,negated_conjecture,
( ~ ssPv3(skf3(skf2(X0)))
| ~ ssPv7(skf2(X0))
| ssPv1(skf3(skf2(X0)))
| ssPv6(skf3(skf2(X0)))
| ssPv5(skf3(skf2(X0)))
| ssPv2(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ssPv2(skf2(X0)) ) ).
cnf(u382,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv5(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv7(skf3(X0)) ) ).
cnf(u605,negated_conjecture,
( ~ ssPv8(skf2(skf3(X0)))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv6(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ) ).
cnf(u269,negated_conjecture,
( ssPv8(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv5(skf3(X0))
| ssPv6(X0) ) ).
cnf(u61,negated_conjecture,
( ~ ssRr(X1,X0)
| ~ ssPv6(X0)
| ~ ssPv5(X1)
| ~ ssPv7(X1)
| ssPv8(skf2(X1)) ) ).
cnf(u222,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ~ ssPv5(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(X0) ) ).
cnf(u328,negated_conjecture,
( ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(X0))
| ssPv3(skf3(X0))
| ssPv5(skf3(X0))
| ssPv8(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv5(skf3(skf3(X0)))
| ssPv6(X0) ) ).
cnf(u105,negated_conjecture,
( ~ ssPv3(skf3(skf2(X0)))
| ~ ssPv3(skf2(X0))
| ssPv5(X0)
| ssPv2(skf2(X0)) ) ).
cnf(u719,negated_conjecture,
( ~ ssPv6(skf3(skf3(X0)))
| ssPv7(skf3(skf3(X0)))
| ssPv6(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv5(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ssPv8(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv6(skf2(skf3(X0)))
| ssPv7(skf3(X0)) ) ).
cnf(u501,negated_conjecture,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv6(skf3(X0))
| ~ ssPv7(skf3(X0))
| ~ ssPv4(X0)
| ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0))) ) ).
cnf(u165,negated_conjecture,
( ~ ssPv6(skf3(X0))
| ~ ssPv5(X0)
| ~ ssPv4(X0)
| ssPv7(X0) ) ).
cnf(u447,negated_conjecture,
( ssPv2(skf3(skf2(X0)))
| ssPv5(skf3(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv6(X0)
| ~ ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv6(skf2(X0))
| ~ ssPv8(skf2(X0))
| ssPv3(skf2(X0))
| ~ ssPv5(skf2(X0))
| ssPv7(skf2(X0)) ) ).
cnf(u124,negated_conjecture,
( ssPv5(skf2(skf3(X0)))
| ~ ssPv4(X0)
| ssPv7(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv5(skf3(X0)) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN772-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:52:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/0.94 % (4151593)Input is clausal, will run a generic CNF schedule.
% 1.01/0.94 % (4151605)lrs+10_1_sil=8000:sp=occurrence:random_seed=3328199757:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.01/0.94 % (4151605)First to succeed.
% 1.01/0.94 % (4151605)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4151593"
% 1.01/0.94 % (4151606)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=752371735:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.01/0.94 % (4151608)dis-21_1_sil=8000:lcm=predicate:random_seed=1686686983:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.01/0.94 % (4151603)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1655393169:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.01/0.94 % (4151602)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3018081947:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.01/0.94 % (4151604)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=382179745:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.01/0.94 % (4151607)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=803967087:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.01/0.94 % (4151607)Refutation not found, incomplete strategy
% 1.01/0.94 % (4151607)------------------------------
% 1.01/0.94 % (4151607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.01/0.94 % (4151607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.94 % (4151607)CaDiCaL version: 2.1.3
% 1.01/0.94 % (4151607)Termination reason: Refutation not found, incomplete strategy
% 1.01/0.94 % (4151607)Time elapsed: 0.001 s
% 1.01/0.94 % (4151607)Peak memory usage: 87 MB
% 1.01/0.94 % (4151607)Instructions burned: 1 (million)
% 1.01/0.94 % (4151608)Instruction limit reached!
% 1.01/0.94 % (4151608)------------------------------
% 1.01/0.94 % (4151608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.01/0.94 % (4151608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.94 % (4151608)CaDiCaL version: 2.1.3
% 1.01/0.94 % (4151608)Termination reason: Instruction limit
% 1.01/0.94 % (4151608)Termination phase: Saturation
% 1.01/0.94 % (4151608)Time elapsed: 0.050 s
% 1.01/0.94 % (4151608)Peak memory usage: 87 MB
% 1.01/0.94 % (4151608)Instructions burned: 119 (million)
% 1.01/0.94 % (4151606)Instruction limit reached!
% 1.01/0.94 % (4151606)------------------------------
% 1.01/0.94 % (4151606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.01/0.94 % (4151606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.94 % (4151606)CaDiCaL version: 2.1.3
% 1.01/0.94 % (4151606)Termination reason: Instruction limit
% 1.01/0.94 % (4151606)Termination phase: Saturation
% 1.01/0.94 % (4151606)Time elapsed: 0.063 s
% 1.01/0.94 % (4151606)Peak memory usage: 87 MB
% 1.01/0.94 % (4151606)Instructions burned: 115 (million)
% 1.01/0.94 % SZS status Satisfiable for theBenchmark
% 1.01/0.94 % SZS output start Saturation.
% See solution above
% 2.63/1.14 % SZS output start Definitions and Model Updates.
% 2.63/1.14 % SZS output end Definitions and Model Updates.
% 2.63/1.14 % (4151605)------------------------------
% 2.63/1.14 % (4151605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (4151605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (4151605)CaDiCaL version: 2.1.3
% 2.63/1.14 % (4151605)Termination reason: Satisfiable
% 2.63/1.14 % (4151605)Time elapsed: 0.015 s
% 2.63/1.14 % (4151605)Peak memory usage: 88 MB
% 2.63/1.14 % (4151605)Instructions burned: 48 (million)
% 2.63/1.14 % (4151605)------------------------------
% 2.63/1.14 % (4151605)------------------------------
% 2.63/1.14 % (4151593)Success in time 0.277 s
% 2.63/1.14 % Vampire exiting
%------------------------------------------------------------------------------