%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:20:43 AM UTC 2026
% Result : Unsatisfiable 57.87s 13.38s
% Output : CNFRefutation 57.87s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_4,negated_conjecture,
( ~ 'big$uq'(c7)
| 'big$up'(c6)
| ~ 'big$uq'(X3)
| ~ 'big$uq'(f2(X3))
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$up'(f1(X0))
| 'big$up'(X0) ) ).
cnf(clause_5,negated_conjecture,
( 'big$uq'(X4)
| 'big$up'(c9)
| 'big$uq'(c8)
| ~ 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$up'(f1(X0))
| 'big$up'(X0) ) ).
cnf(clause_7,negated_conjecture,
( 'big$uq'(X4)
| 'big$up'(c9)
| ~ 'big$uq'(c8)
| 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$up'(f1(X0))
| 'big$up'(X0) ) ).
cnf(clause_25,negated_conjecture,
( 'big$uq'(X3)
| ~ 'big$up'(X2)
| 'big$uq'(X1)
| 'big$uq'(f2(X1))
| ~ 'big$up'(c2)
| 'big$uq'(c1)
| ~ 'big$up'(f1(X0))
| ~ 'big$up'(X0) ) ).
cnf(clause_33,negated_conjecture,
( 'big$uq'(X4)
| ~ 'big$up'(X3)
| 'big$uq'(X2)
| 'big$uq'(f2(X2))
| 'big$up'(X1)
| 'big$uq'(c4)
| 'big$up'(X0)
| ~ 'big$up'(c3) ) ).
cnf(clause_49,negated_conjecture,
( 'big$uq'(X4)
| ~ 'big$up'(X3)
| 'big$uq'(X2)
| 'big$uq'(f2(X2))
| 'big$up'(X1)
| 'big$uq'(c4)
| ~ 'big$up'(X0)
| 'big$up'(c3) ) ).
cnf(clause_53,negated_conjecture,
( 'big$uq'(X3)
| 'big$up'(c9)
| 'big$uq'(c8)
| ~ 'big$uq'(X2)
| 'big$up'(X1)
| 'big$uq'(c4)
| ~ 'big$up'(X0)
| 'big$up'(c3) ) ).
cnf(clause_65,negated_conjecture,
( 'big$uq'(X5)
| ~ 'big$up'(X4)
| 'big$uq'(c16)
| ~ 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$up'(X0)
| ~ 'big$up'(c11) ) ).
cnf(clause_67,negated_conjecture,
( 'big$uq'(X5)
| ~ 'big$up'(X4)
| ~ 'big$uq'(c16)
| 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$up'(X0)
| ~ 'big$up'(c11) ) ).
cnf(clause_72,negated_conjecture,
( ~ 'big$uq'(c20)
| ~ 'big$up'(X4)
| ~ 'big$uq'(X3)
| ~ 'big$uq'(f4(X3))
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$up'(X0)
| ~ 'big$up'(c11) ) ).
cnf(clause_81,negated_conjecture,
( 'big$uq'(X5)
| ~ 'big$up'(X4)
| 'big$uq'(c16)
| ~ 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0)
| 'big$up'(c11) ) ).
cnf(clause_83,negated_conjecture,
( 'big$uq'(X5)
| ~ 'big$up'(X4)
| ~ 'big$uq'(c16)
| 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0)
| 'big$up'(c11) ) ).
cnf(clause_88,negated_conjecture,
( ~ 'big$uq'(c20)
| ~ 'big$up'(X4)
| ~ 'big$uq'(X3)
| ~ 'big$uq'(f4(X3))
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0)
| 'big$up'(c11) ) ).
cnf(clause_97,negated_conjecture,
( 'big$uq'(X4)
| ~ 'big$up'(X3)
| 'big$uq'(c16)
| ~ 'big$uq'(X2)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$up'(f3(X0))
| 'big$up'(X0) ) ).
cnf(clause_99,negated_conjecture,
( 'big$uq'(X4)
| ~ 'big$up'(X3)
| ~ 'big$uq'(c16)
| 'big$uq'(X2)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$up'(f3(X0))
| 'big$up'(X0) ) ).
cnf(clause_101,negated_conjecture,
( 'big$uq'(X3)
| 'big$up'(c19)
| 'big$uq'(X2)
| 'big$uq'(f4(X2))
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$up'(f3(X0))
| 'big$up'(X0) ) ).
cnf(clause_121,negated_conjecture,
( 'big$uq'(X4)
| ~ 'big$up'(X3)
| 'big$uq'(c16)
| ~ 'big$uq'(X2)
| ~ 'big$up'(c15)
| ~ 'big$uq'(X1)
| ~ 'big$up'(f3(X0))
| ~ 'big$up'(X0) ) ).
cnf(clause_123,negated_conjecture,
( 'big$uq'(X4)
| ~ 'big$up'(X3)
| ~ 'big$uq'(c16)
| 'big$uq'(X2)
| ~ 'big$up'(c15)
| ~ 'big$uq'(X1)
| ~ 'big$up'(f3(X0))
| ~ 'big$up'(X0) ) ).
cnf(clause_128,negated_conjecture,
( ~ 'big$uq'(c20)
| ~ 'big$up'(X3)
| ~ 'big$uq'(X2)
| ~ 'big$uq'(f4(X2))
| ~ 'big$up'(c15)
| ~ 'big$uq'(X1)
| ~ 'big$up'(f3(X0))
| ~ 'big$up'(X0) ) ).
cnf(c3,plain,
( 'big$up'(f1(X2))
| 'big$up'(c6)
| ~ 'big$uq'(f2(X0))
| ~ 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(c7)
| 'big$up'(X1)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( 'big$up'(c9)
| 'big$uq'(c8)
| 'big$up'(X4)
| 'big$up'(f1(X4))
| 'big$up'(X3)
| ~ 'big$uq'(X2)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c6,plain,
( 'big$up'(X4)
| ~ 'big$uq'(c8)
| ~ 'big$uq'(X3)
| 'big$uq'(X2)
| 'big$up'(f1(X1))
| 'big$up'(X1)
| 'big$uq'(X0)
| 'big$up'(c9) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c24,plain,
( ~ 'big$up'(X2)
| 'big$uq'(f2(X1))
| 'big$uq'(c1)
| ~ 'big$up'(c2)
| ~ 'big$up'(X3)
| ~ 'big$up'(f1(X2))
| 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_25]) ).
cnf(c32,plain,
( 'big$uq'(f2(X3))
| 'big$uq'(c4)
| ~ 'big$up'(c3)
| 'big$up'(X4)
| 'big$uq'(X3)
| 'big$up'(X2)
| 'big$uq'(X1)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_33]) ).
cnf(c48,plain,
( 'big$uq'(X1)
| ~ 'big$up'(X4)
| 'big$up'(c3)
| 'big$uq'(X3)
| ~ 'big$up'(X2)
| 'big$uq'(f2(X1))
| 'big$uq'(c4)
| 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_49]) ).
cnf(c52,plain,
( 'big$up'(c9)
| 'big$uq'(c8)
| 'big$uq'(X3)
| 'big$up'(X2)
| 'big$uq'(c4)
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0)
| 'big$up'(c3) ),
inference(clausification,[status(esa)],[clause_53]) ).
cnf(c64,plain,
( ~ 'big$uq'(X5)
| 'big$uq'(X4)
| ~ 'big$up'(X3)
| 'big$up'(X2)
| 'big$uq'(c16)
| ~ 'big$uq'(X1)
| ~ 'big$up'(c11)
| 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_65]) ).
cnf(c66,plain,
( 'big$up'(X5)
| 'big$uq'(X4)
| 'big$up'(X3)
| ~ 'big$up'(X2)
| ~ 'big$up'(c11)
| 'big$uq'(X1)
| ~ 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_67]) ).
cnf(c71,plain,
( ~ 'big$uq'(X4)
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$up'(c11)
| ~ 'big$up'(X1)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_72]) ).
cnf(c80,plain,
( ~ 'big$uq'(X5)
| ~ 'big$up'(X4)
| 'big$uq'(c16)
| 'big$uq'(X3)
| ~ 'big$uq'(X2)
| 'big$up'(X1)
| 'big$up'(c11)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_81]) ).
cnf(c82,plain,
( 'big$uq'(X5)
| 'big$up'(X4)
| 'big$uq'(X3)
| ~ 'big$up'(X2)
| 'big$up'(c11)
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c16) ),
inference(clausification,[status(esa)],[clause_83]) ).
cnf(c87,plain,
( ~ 'big$up'(X4)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(X3)
| ~ 'big$uq'(X1)
| 'big$up'(X2)
| ~ 'big$uq'(f4(X1))
| 'big$up'(c11)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_88]) ).
cnf(c96,plain,
( 'big$uq'(c16)
| 'big$up'(X4)
| ~ 'big$uq'(X3)
| 'big$uq'(X2)
| 'big$uq'(c14)
| 'big$up'(f3(X1))
| 'big$up'(X1)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_97]) ).
cnf(c98,plain,
( 'big$up'(f3(X2))
| 'big$up'(X4)
| 'big$uq'(X3)
| 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(X0)
| ~ 'big$uq'(c16) ),
inference(clausification,[status(esa)],[clause_99]) ).
cnf(c100,plain,
( 'big$up'(f3(X2))
| 'big$up'(X3)
| 'big$up'(X2)
| 'big$uq'(X1)
| 'big$up'(c19)
| 'big$uq'(f4(X1))
| 'big$uq'(X0)
| 'big$uq'(c14) ),
inference(clausification,[status(esa)],[clause_101]) ).
cnf(c120,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(X4)
| ~ 'big$uq'(X3)
| 'big$uq'(c16)
| 'big$uq'(X2)
| ~ 'big$up'(X1)
| ~ 'big$up'(f3(X0))
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_121]) ).
cnf(c122,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(X4)
| 'big$uq'(X3)
| ~ 'big$up'(f3(X0))
| ~ 'big$up'(X2)
| 'big$uq'(X1)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c16) ),
inference(clausification,[status(esa)],[clause_123]) ).
cnf(c127,plain,
( ~ 'big$up'(X3)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X2)
| ~ 'big$up'(f3(X1))
| ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_128]) ).
cnf(d0,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X3))
| ~ 'big$up'(X3)
| ~ 'big$up'(X2)
| ~ 'big$uq'(c16)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c122]) ).
cnf(d1,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X1))
| ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(X0)
| ~ 'big$uq'(c16) ),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X1))
| ~ 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ 'big$up'(c3)
| ~ 'big$up'(X3)
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c32]) ).
cnf(d4,plain,
( 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$up'(c3)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d3]) ).
cnf(d5,plain,
( ~ 'big$up'(c3)
| 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d4]) ).
cnf(d6,plain,
( 'big$up'(c3)
| ~ 'big$up'(X3)
| ~ 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c48]) ).
cnf(d7,plain,
( 'big$up'(c3)
| 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d6]) ).
cnf(d8,plain,
( ~ 'big$up'(X1)
| 'big$up'(c3)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| ~ 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c4)
| ~ 'big$uq'(X0)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[c52]) ).
cnf(d10,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| ~ 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d9]) ).
cnf(d11,plain,
( 'big$up'(f3(X2))
| 'big$up'(c19)
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c100]) ).
cnf(d12,plain,
( 'big$up'(f3(X1))
| 'big$up'(c19)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d11]) ).
cnf(d13,plain,
( 'big$up'(f3(X2))
| ~ 'big$up'(X3)
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c14)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(factoring,[status(thm)],[c96]) ).
cnf(d14,plain,
( 'big$up'(f3(X2))
| 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d13]) ).
cnf(d15,plain,
( 'big$up'(c9)
| 'big$up'(f1(X2))
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$uq'(X0)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(d16,plain,
( 'big$up'(c9)
| 'big$up'(f1(X2))
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d15]) ).
cnf(d17,plain,
( 'big$up'(c9)
| 'big$up'(f1(X1))
| 'big$up'(X1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d16]) ).
cnf(d18,plain,
( 'big$up'(c9)
| 'big$up'(f1(X2))
| 'big$up'(X2)
| 'big$uq'(c8)
| 'big$up'(f3(X1))
| 'big$up'(c19)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d12,d17]) ).
cnf(d19,plain,
( 'big$up'(f3(X1))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(f1(X0))
| 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d18]) ).
cnf(d20,plain,
( 'big$up'(f3(X3))
| 'big$up'(X3)
| 'big$uq'(c14)
| 'big$uq'(c16)
| ~ 'big$uq'(X2)
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d19,d14]) ).
cnf(d21,plain,
( 'big$up'(f3(X2))
| 'big$up'(f3(X1))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d20]) ).
cnf(d22,plain,
( 'big$up'(f3(X1))
| 'big$up'(f3(X1))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d21]) ).
cnf(d23,plain,
( 'big$up'(f3(X2))
| 'big$up'(c19)
| 'big$up'(X2)
| 'big$uq'(c14)
| 'big$uq'(X1)
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d22,d12]) ).
cnf(d24,plain,
( 'big$up'(f3(X1))
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d23]) ).
cnf(d25,plain,
( 'big$up'(f3(X0))
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d24]) ).
cnf(d26,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X1)
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d25,d10]) ).
cnf(d27,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d26]) ).
cnf(d28,plain,
( 'big$up'(f3(X2))
| ~ 'big$up'(X3)
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c98]) ).
cnf(d29,plain,
( 'big$up'(f3(X1))
| 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c14) ),
inference(factoring,[status(thm)],[d28]) ).
cnf(d30,plain,
( 'big$up'(f3(X0))
| ~ 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16) ),
inference(factoring,[status(thm)],[d29]) ).
cnf(d31,plain,
( 'big$up'(f3(X2))
| 'big$up'(X2)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d19,d30]) ).
cnf(d32,plain,
( 'big$up'(f3(X1))
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d31]) ).
cnf(d33,plain,
( 'big$up'(f3(X0))
| 'big$up'(f3(X0))
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d32]) ).
cnf(d34,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X1)
| 'big$up'(c19)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d33,d10]) ).
cnf(d35,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(c16) ),
inference(factoring,[status(thm)],[d34]) ).
cnf(d36,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d35]) ).
cnf(d37,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d36,d27]) ).
cnf(d38,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X2)
| 'big$up'(c19)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d39,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(f4(X1))
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X1)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d38]) ).
cnf(d40,plain,
( 'big$up'(c3)
| 'big$uq'(c4)
| 'big$uq'(f2(X2))
| 'big$uq'(X2)
| 'big$up'(c19)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d12,d8]) ).
cnf(d41,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(f4(X1))
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d40]) ).
cnf(d42,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(f4(X2))
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X2)
| 'big$up'(c19)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(c4)
| 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d41,d39]) ).
cnf(d43,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(f4(X1))
| 'big$uq'(f4(X0))
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d42]) ).
cnf(d44,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(f4(X0))
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d43]) ).
cnf(d45,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(f4(X0))
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d37,d44]) ).
cnf(d46,plain,
( 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$up'(c19)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d45,d37]) ).
cnf(d47,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d46,d10]) ).
cnf(d48,plain,
( 'big$up'(c3)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d46,d8]) ).
cnf(d49,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d47,d48]) ).
cnf(d50,plain,
( 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$up'(c3)
| 'big$up'(c9)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d49,d47]) ).
cnf(d51,plain,
( 'big$up'(c3)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d50,d8]) ).
cnf(d52,plain,
( ~ 'big$up'(c11)
| ~ 'big$up'(X4)
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(factoring,[status(thm)],[c64]) ).
cnf(d53,plain,
( ~ 'big$up'(c11)
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d52]) ).
cnf(d54,plain,
( ~ 'big$up'(c11)
| ~ 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d53]) ).
cnf(d55,plain,
( 'big$up'(X1)
| ~ 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d54]) ).
cnf(d56,plain,
( 'big$up'(c11)
| ~ 'big$up'(X4)
| ~ 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(factoring,[status(thm)],[c80]) ).
cnf(d57,plain,
( 'big$up'(c11)
| 'big$up'(X3)
| ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d56]) ).
cnf(d58,plain,
( ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d57]) ).
cnf(d59,plain,
( 'big$up'(c11)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d58]) ).
cnf(d60,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d50,d59]) ).
cnf(d61,plain,
( 'big$up'(c11)
| ~ 'big$up'(X4)
| ~ 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(c16)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c82]) ).
cnf(d62,plain,
( 'big$up'(c11)
| 'big$up'(X3)
| ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(X0)
| ~ 'big$uq'(c16) ),
inference(factoring,[status(thm)],[d61]) ).
cnf(d63,plain,
( ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d62]) ).
cnf(d64,plain,
( 'big$up'(c11)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d63]) ).
cnf(d65,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d50,d64]) ).
cnf(d66,plain,
( 'big$up'(c11)
| 'big$up'(c3)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d65]) ).
cnf(d67,plain,
( 'big$up'(c11)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d66,d60]) ).
cnf(d68,plain,
( 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X0)
| 'big$up'(c11)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d67,d51]) ).
cnf(d69,plain,
( 'big$up'(c11)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d68]) ).
cnf(d70,plain,
( 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d69,d55]) ).
cnf(d71,plain,
( 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d70]) ).
cnf(d72,plain,
( ~ 'big$up'(c11)
| ~ 'big$up'(X4)
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(c16)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c66]) ).
cnf(d73,plain,
( ~ 'big$up'(c11)
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(X0)
| ~ 'big$uq'(c16) ),
inference(factoring,[status(thm)],[d72]) ).
cnf(d74,plain,
( ~ 'big$up'(c11)
| ~ 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d73]) ).
cnf(d75,plain,
( 'big$up'(X1)
| ~ 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d74]) ).
cnf(d76,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d69,d75]) ).
cnf(d77,plain,
( 'big$up'(c3)
| 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d76]) ).
cnf(d78,plain,
( 'big$up'(c3)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d77]) ).
cnf(d79,plain,
( 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d78,d71]) ).
cnf(d80,plain,
( 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d79,d51]) ).
cnf(d81,plain,
( 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$up'(c3)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d79,d80]) ).
cnf(d82,plain,
( 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(f2(X0))
| 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d81,d5]) ).
cnf(d83,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d81,d59]) ).
cnf(d84,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d81,d64]) ).
cnf(d85,plain,
( 'big$up'(c11)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d84]) ).
cnf(d86,plain,
( 'big$up'(c11)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d85,d83]) ).
cnf(d87,plain,
( 'big$up'(c11)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d82,d86]) ).
cnf(d88,plain,
( 'big$up'(c11)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d87]) ).
cnf(d89,plain,
( 'big$up'(c11)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d88]) ).
cnf(d90,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d89,d75]) ).
cnf(d91,plain,
( 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d90]) ).
cnf(d92,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X2))
| ~ 'big$up'(X3)
| ~ 'big$up'(X2)
| ~ 'big$uq'(X1)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(factoring,[status(thm)],[c120]) ).
cnf(d93,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X2))
| ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d92]) ).
cnf(d94,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X1))
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d93]) ).
cnf(d95,plain,
( 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d89,d55]) ).
cnf(d96,plain,
( 'big$up'(X2)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d95,d82]) ).
cnf(d97,plain,
( 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d96]) ).
cnf(d98,plain,
( 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d97]) ).
cnf(d99,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d98,d94]) ).
cnf(d100,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d99]) ).
cnf(d101,plain,
( 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d98,d100]) ).
cnf(d102,plain,
( 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d101,d91]) ).
cnf(d103,plain,
( 'big$up'(X2)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d102,d82]) ).
cnf(d104,plain,
( 'big$up'(X1)
| 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d103]) ).
cnf(d105,plain,
( 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d104]) ).
cnf(d106,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d105,d2]) ).
cnf(d107,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X0)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d106]) ).
cnf(d108,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c14)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d107]) ).
cnf(d109,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d101,d108]) ).
cnf(d110,plain,
( 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d105,d109]) ).
cnf(d111,plain,
( ~ 'big$up'(c2)
| ~ 'big$up'(f1(X2))
| ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| 'big$uq'(c1)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c24]) ).
cnf(d112,plain,
( ~ 'big$up'(c2)
| ~ 'big$up'(f1(X1))
| ~ 'big$up'(X1)
| 'big$uq'(c1)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d111]) ).
cnf(d113,plain,
( ~ 'big$up'(c2)
| ~ 'big$up'(X2)
| 'big$uq'(c1)
| 'big$uq'(f2(X1))
| 'big$uq'(X1)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d82,d112]) ).
cnf(d114,plain,
( ~ 'big$up'(c2)
| ~ 'big$up'(X1)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d113]) ).
cnf(d115,plain,
( ~ 'big$up'(c2)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d114]) ).
cnf(d116,plain,
( ~ 'big$up'(c2)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d110,d115]) ).
cnf(d117,plain,
( 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d110,d105]) ).
cnf(d118,plain,
( 'big$up'(X0)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d110,d117]) ).
cnf(d119,plain,
( 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(f2(X0))
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d118,d116]) ).
cnf(d120,plain,
( 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d119,d110]) ).
cnf(d121,plain,
( 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c14)
| 'big$uq'(c4)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d110,d120]) ).
cnf(d122,plain,
( 'big$up'(c9)
| 'big$up'(f1(X0))
| 'big$up'(X0)
| 'big$uq'(c8)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d121,d17]) ).
cnf(d123,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X1)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d122,d59]) ).
cnf(d124,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d123]) ).
cnf(d125,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X1)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d122,d64]) ).
cnf(d126,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d125]) ).
cnf(d127,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d126]) ).
cnf(d128,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d127,d124]) ).
cnf(d129,plain,
( 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d128,d121]) ).
cnf(d130,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d129,d59]) ).
cnf(d131,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d129,d64]) ).
cnf(d132,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d131]) ).
cnf(d133,plain,
( 'big$up'(c11)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d132,d130]) ).
cnf(d134,plain,
( 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(c11)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d133,d121]) ).
cnf(d135,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d134,d75]) ).
cnf(d136,plain,
( 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d135]) ).
cnf(d137,plain,
( 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d134,d55]) ).
cnf(d138,plain,
( 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(X0)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d137,d121]) ).
cnf(d139,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d138,d94]) ).
cnf(d140,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d139]) ).
cnf(d141,plain,
( 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d138,d140]) ).
cnf(d142,plain,
( 'big$up'(X1)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d141,d136]) ).
cnf(d143,plain,
( 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(X0)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d142,d121]) ).
cnf(d144,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d143,d2]) ).
cnf(d145,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d144]) ).
cnf(d146,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d145]) ).
cnf(d147,plain,
( 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c16)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d141,d121]) ).
cnf(d148,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d147,d146]) ).
cnf(d149,plain,
( 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c4)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d143,d148]) ).
cnf(d150,plain,
( 'big$up'(c9)
| 'big$up'(f1(X0))
| 'big$up'(X0)
| 'big$uq'(c8)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d149,d17]) ).
cnf(d151,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X1)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d150,d59]) ).
cnf(d152,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d151]) ).
cnf(d153,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X1)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d150,d64]) ).
cnf(d154,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d153]) ).
cnf(d155,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| ~ 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d154]) ).
cnf(d156,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d155,d152]) ).
cnf(d157,plain,
( 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d156,d149]) ).
cnf(d158,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d157,d59]) ).
cnf(d159,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d157,d64]) ).
cnf(d160,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d159]) ).
cnf(d161,plain,
( 'big$up'(c11)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d160,d158]) ).
cnf(d162,plain,
( 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(c11)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d161,d149]) ).
cnf(d163,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d162,d75]) ).
cnf(d164,plain,
( 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d163]) ).
cnf(d165,plain,
( 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d162,d55]) ).
cnf(d166,plain,
( 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(X0)
| 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d165,d149]) ).
cnf(d167,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d166,d94]) ).
cnf(d168,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d167]) ).
cnf(d169,plain,
( 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d166,d168]) ).
cnf(d170,plain,
( 'big$up'(X1)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c1)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d169,d164]) ).
cnf(d171,plain,
( 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$up'(X0)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d170,d149]) ).
cnf(d172,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d171,d2]) ).
cnf(d173,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d172]) ).
cnf(d174,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d173]) ).
cnf(d175,plain,
( 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c16)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d169,d149]) ).
cnf(d176,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d175,d174]) ).
cnf(d177,plain,
( 'big$uq'(c1)
| 'big$uq'(c8)
| 'big$uq'(c1)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d171,d176]) ).
cnf(d178,plain,
( 'big$up'(c9)
| 'big$up'(f1(X0))
| 'big$up'(X0)
| 'big$uq'(c8)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d177,d17]) ).
cnf(d179,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X1)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d178,d59]) ).
cnf(d180,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c16)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d179]) ).
cnf(d181,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X1)
| 'big$up'(c9)
| 'big$up'(X0)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d178,d64]) ).
cnf(d182,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d181]) ).
cnf(d183,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d182]) ).
cnf(d184,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d183,d180]) ).
cnf(d185,plain,
( 'big$uq'(c8)
| 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d184,d177]) ).
cnf(d186,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d185,d59]) ).
cnf(d187,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d185,d64]) ).
cnf(d188,plain,
( 'big$up'(c11)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d187]) ).
cnf(d189,plain,
( 'big$up'(c11)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d188,d186]) ).
cnf(d190,plain,
( 'big$uq'(c8)
| 'big$up'(c11)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d189,d177]) ).
cnf(d191,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d190,d75]) ).
cnf(d192,plain,
( 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d191]) ).
cnf(d193,plain,
( 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d190,d55]) ).
cnf(d194,plain,
( 'big$uq'(c8)
| 'big$up'(X0)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d193,d177]) ).
cnf(d195,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d194,d94]) ).
cnf(d196,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c16)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d195]) ).
cnf(d197,plain,
( 'big$uq'(c16)
| 'big$uq'(c8)
| ~ 'big$uq'(X0)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d194,d196]) ).
cnf(d198,plain,
( 'big$up'(X1)
| 'big$uq'(c8)
| 'big$uq'(c8)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d197,d192]) ).
cnf(d199,plain,
( 'big$uq'(c8)
| 'big$up'(X0)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d198,d177]) ).
cnf(d200,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d199,d2]) ).
cnf(d201,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d200]) ).
cnf(d202,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d201]) ).
cnf(d203,plain,
( 'big$uq'(c8)
| 'big$uq'(c16)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d197,d177]) ).
cnf(d204,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c8)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d203,d202]) ).
cnf(d205,plain,
( 'big$uq'(c8)
| 'big$uq'(c8) ),
inference(resolution,[status(thm)],[d199,d204]) ).
cnf(d206,plain,
( 'big$up'(c9)
| 'big$up'(f1(X3))
| 'big$up'(X3)
| 'big$up'(X2)
| ~ 'big$uq'(c8)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(d207,plain,
( 'big$up'(c9)
| 'big$up'(f1(X1))
| 'big$up'(X2)
| 'big$up'(X1)
| 'big$uq'(X0)
| ~ 'big$uq'(c8) ),
inference(factoring,[status(thm)],[d206]) ).
cnf(d208,plain,
( 'big$up'(c9)
| 'big$up'(f1(X1))
| 'big$up'(X1)
| ~ 'big$uq'(c8)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d207]) ).
cnf(d209,plain,
( 'big$up'(c9)
| 'big$up'(f1(X1))
| 'big$up'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d205,d208]) ).
cnf(d210,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X2)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d209,d59]) ).
cnf(d211,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d210]) ).
cnf(d212,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d211]) ).
cnf(d213,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d212,d205]) ).
cnf(d214,plain,
( 'big$up'(c11)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$up'(c11)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d213,d59]) ).
cnf(d215,plain,
( 'big$up'(c11)
| ~ 'big$up'(X2)
| 'big$uq'(X1)
| 'big$up'(c11)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d214,d64]) ).
cnf(d216,plain,
( 'big$up'(c9)
| 'big$up'(X3)
| 'big$uq'(X2)
| 'big$up'(c11)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d215,d209]) ).
cnf(d217,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$up'(X2)
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d216]) ).
cnf(d218,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(X1)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d217]) ).
cnf(d219,plain,
( 'big$up'(c11)
| 'big$up'(c9)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d218,d205]) ).
cnf(d220,plain,
( 'big$up'(c11)
| ~ 'big$uq'(X2)
| 'big$uq'(X1)
| 'big$up'(c11)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d219,d215]) ).
cnf(d221,plain,
( 'big$up'(c11)
| 'big$uq'(X1)
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d220]) ).
cnf(d222,plain,
( 'big$up'(c11)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d221,d205]) ).
cnf(d223,plain,
( 'big$up'(X2)
| ~ 'big$uq'(c16)
| 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d222,d75]) ).
cnf(d224,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c16)
| 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d223]) ).
cnf(d225,plain,
( 'big$up'(c11)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d214,d205]) ).
cnf(d226,plain,
( 'big$up'(X1)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d225,d55]) ).
cnf(d227,plain,
( 'big$up'(X0)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d226,d205]) ).
cnf(d228,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X1))
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d227,d94]) ).
cnf(d229,plain,
( ~ 'big$up'(c15)
| 'big$uq'(c16)
| ~ 'big$uq'(X0)
| 'big$uq'(c16) ),
inference(resolution,[status(thm)],[d227,d228]) ).
cnf(d230,plain,
( 'big$uq'(c16)
| 'big$uq'(c16)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d229,d227]) ).
cnf(d231,plain,
( 'big$up'(X2)
| 'big$uq'(X1)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d230,d224]) ).
cnf(d232,plain,
( 'big$up'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d231,d205]) ).
cnf(d233,plain,
( 'big$up'(c11)
| ~ 'big$up'(X3)
| ~ 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c87]) ).
cnf(d234,plain,
( 'big$up'(c11)
| 'big$up'(X2)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d233]) ).
cnf(d235,plain,
( ~ 'big$up'(X1)
| 'big$up'(c11)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d234]) ).
cnf(d236,plain,
( 'big$up'(c11)
| ~ 'big$up'(X2)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X1))
| 'big$up'(c11)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d221,d235]) ).
cnf(d237,plain,
( 'big$up'(c11)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0)) ),
inference(factoring,[status(thm)],[d236]) ).
cnf(d238,plain,
( ~ 'big$up'(c11)
| ~ 'big$up'(X3)
| 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c71]) ).
cnf(d239,plain,
( 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$up'(c11)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d238]) ).
cnf(d240,plain,
( ~ 'big$up'(c11)
| 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d239]) ).
cnf(d241,plain,
( ~ 'big$up'(c11)
| 'big$up'(X2)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(X1)
| 'big$up'(X0) ),
inference(resolution,[status(thm)],[d232,d240]) ).
cnf(d242,plain,
( ~ 'big$up'(c11)
| 'big$up'(X1)
| 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(factoring,[status(thm)],[d241]) ).
cnf(d243,plain,
( ~ 'big$up'(c11)
| 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(factoring,[status(thm)],[d242]) ).
cnf(d244,plain,
( ~ 'big$up'(X2)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X1))
| 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(resolution,[status(thm)],[d243,d237]) ).
cnf(d245,plain,
( 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(resolution,[status(thm)],[d244,d232]) ).
cnf(d246,plain,
( ~ 'big$up'(X1)
| 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(factoring,[status(thm)],[d245]) ).
cnf(d247,plain,
( 'big$up'(c6)
| 'big$up'(f1(X2))
| 'big$up'(X2)
| 'big$up'(X1)
| ~ 'big$uq'(c7)
| ~ 'big$uq'(f2(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(d248,plain,
( 'big$up'(c6)
| 'big$up'(f1(X1))
| 'big$up'(X1)
| ~ 'big$uq'(c7)
| ~ 'big$uq'(f2(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d247]) ).
cnf(d249,plain,
( 'big$up'(c6)
| 'big$up'(f1(X2))
| 'big$up'(X2)
| ~ 'big$uq'(c7)
| ~ 'big$uq'(X1)
| 'big$up'(X0) ),
inference(resolution,[status(thm)],[d232,d248]) ).
cnf(d250,plain,
( 'big$up'(c6)
| 'big$up'(f1(X0))
| 'big$up'(X1)
| 'big$up'(X0)
| ~ 'big$uq'(c7) ),
inference(factoring,[status(thm)],[d249]) ).
cnf(d251,plain,
( 'big$up'(c6)
| 'big$up'(f1(X0))
| 'big$up'(X0)
| ~ 'big$uq'(c7) ),
inference(factoring,[status(thm)],[d250]) ).
cnf(d252,plain,
( 'big$up'(X1)
| ~ 'big$uq'(c20)
| 'big$up'(c6)
| 'big$up'(X0)
| ~ 'big$uq'(c7) ),
inference(resolution,[status(thm)],[d251,d246]) ).
cnf(d253,plain,
( 'big$up'(c6)
| 'big$up'(X0)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(c7) ),
inference(factoring,[status(thm)],[d252]) ).
cnf(d254,plain,
( 'big$up'(c6)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(c7) ),
inference(factoring,[status(thm)],[d253]) ).
cnf(d255,plain,
( ~ 'big$uq'(c20)
| ~ 'big$uq'(c7)
| 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(resolution,[status(thm)],[d246,d254]) ).
cnf(d256,plain,
( 'big$up'(X1)
| 'big$up'(X0)
| ~ 'big$uq'(c7) ),
inference(resolution,[status(thm)],[d255,d232]) ).
cnf(d257,plain,
( 'big$up'(X0)
| ~ 'big$uq'(c7) ),
inference(factoring,[status(thm)],[d256]) ).
cnf(d258,plain,
( 'big$up'(X1)
| 'big$up'(X0) ),
inference(resolution,[status(thm)],[d257,d232]) ).
cnf(d259,plain,
'big$up'(X0),
inference(factoring,[status(thm)],[d258]) ).
cnf(d260,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X2))
| ~ 'big$up'(X2)
| 'big$uq'(X1)
| ~ 'big$up'(c15)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d229,d2]) ).
cnf(d261,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X2))
| ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d259,d260]) ).
cnf(d262,plain,
( ~ 'big$up'(c15)
| 'big$uq'(X1)
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d261,d259]) ).
cnf(d263,plain,
( ~ 'big$uq'(X1)
| 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d259,d262]) ).
cnf(d264,plain,
'big$uq'(X0),
inference(resolution,[status(thm)],[d263,d205]) ).
cnf(d265,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X2))
| ~ 'big$up'(X2)
| ~ 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[c127]) ).
cnf(d266,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X1))
| ~ 'big$up'(X1)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d265]) ).
cnf(d267,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X2))
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X1))
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0)
| ~ 'big$uq'(c20) ),
inference(resolution,[status(thm)],[d246,d266]) ).
cnf(d268,plain,
( ~ 'big$up'(c15)
| ~ 'big$up'(f3(X1))
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(factoring,[status(thm)],[d267]) ).
cnf(d269,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0))
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[d259,d268]) ).
cnf(d270,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(c20)
| ~ 'big$uq'(f4(X0)) ),
inference(resolution,[status(thm)],[d264,d269]) ).
cnf(d271,plain,
( ~ 'big$up'(c15)
| ~ 'big$uq'(c20) ),
inference(resolution,[status(thm)],[d270,d264]) ).
cnf(d272,plain,
~ 'big$uq'(c20),
inference(resolution,[status(thm)],[d259,d271]) ).
cnf(d273,plain,
$false,
inference(resolution,[status(thm)],[d264,d272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n003.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 17:06:39 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.87/13.38 % SZS status Unsatisfiable for theBenchmark.p
% 57.87/13.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------