%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 07:32:51 AM UTC 2026
% Result : Unsatisfiable 12.33s 6.92s
% Output : CNFRefutation 12.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 92
% Number of leaves : 55
% Syntax : Number of clauses : 247 ( 17 unt; 160 nHn; 247 RR)
% Number of literals : 733 ( 0 equ; 213 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 23 ( 22 usr; 23 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1A,negated_conjecture,
( a
| a11 ) ).
cnf(clause_1B,negated_conjecture,
( b
| a11 ) ).
cnf(clause_1C,negated_conjecture,
( ~ b
| ~ a
| ~ a11 ) ).
cnf(clause_2A,negated_conjecture,
( a
| a12 ) ).
cnf(clause_2B,negated_conjecture,
( a11
| a12 ) ).
cnf(clause_2C,negated_conjecture,
( ~ a11
| ~ a
| ~ a12 ) ).
cnf(clause_3A,negated_conjecture,
( b
| a13 ) ).
cnf(clause_3B,negated_conjecture,
( a11
| a13 ) ).
cnf(clause_3C,negated_conjecture,
( ~ a11
| ~ b
| ~ a13 ) ).
cnf(clause_4A,negated_conjecture,
( a12
| a14 ) ).
cnf(clause_4B,negated_conjecture,
( a13
| a14 ) ).
cnf(clause_4C,negated_conjecture,
( ~ a13
| ~ a12
| ~ a14 ) ).
cnf(clause_5A,negated_conjecture,
( a14
| a15 ) ).
cnf(clause_5B,negated_conjecture,
( cI
| a15 ) ).
cnf(clause_5C,negated_conjecture,
( ~ cI
| ~ a14
| ~ a15 ) ).
cnf(clause_6A,negated_conjecture,
( a14
| a16 ) ).
cnf(clause_6B,negated_conjecture,
( a15
| a16 ) ).
cnf(clause_6C,negated_conjecture,
( ~ a15
| ~ a14
| ~ a16 ) ).
cnf(clause_7A,negated_conjecture,
( a15
| a17 ) ).
cnf(clause_7B,negated_conjecture,
( cI
| a17 ) ).
cnf(clause_7C,negated_conjecture,
( ~ cI
| ~ a15
| ~ a17 ) ).
cnf(clause_8A,negated_conjecture,
( a16
| s1 ) ).
cnf(clause_8B,negated_conjecture,
( a17
| s1 ) ).
cnf(clause_8C,negated_conjecture,
( ~ a17
| ~ a16
| ~ s1 ) ).
cnf(clause_9A,negated_conjecture,
( a15
| c1 ) ).
cnf(clause_9B,negated_conjecture,
( a11
| c1 ) ).
cnf(clause_9C,negated_conjecture,
( ~ a11
| ~ a15
| ~ c1 ) ).
cnf(clause_10A,negated_conjecture,
( ~ b
| a
| a21 ) ).
cnf(clause_10B,negated_conjecture,
( b
| ~ a
| a21 ) ).
cnf(clause_10C,negated_conjecture,
( b
| a
| ~ a21 ) ).
cnf(clause_10D,negated_conjecture,
( ~ b
| ~ a
| ~ a21 ) ).
cnf(clause_11A,negated_conjecture,
( cI
| ~ a22 ) ).
cnf(clause_11B,negated_conjecture,
( a23
| ~ a22 ) ).
cnf(clause_11C,negated_conjecture,
( ~ a23
| ~ cI
| a22 ) ).
cnf(clause_12A,negated_conjecture,
( ~ a
| a23 ) ).
cnf(clause_12B,negated_conjecture,
( ~ b
| a23 ) ).
cnf(clause_12C,negated_conjecture,
( b
| a
| ~ a23 ) ).
cnf(clause_13A,negated_conjecture,
( cI
| a24 ) ).
cnf(clause_14A,negated_conjecture,
( a
| ~ a25 ) ).
cnf(clause_14B,negated_conjecture,
( b
| ~ a25 ) ).
cnf(clause_14C,negated_conjecture,
( ~ b
| ~ a
| a25 ) ).
cnf(clause_15B,negated_conjecture,
( a25
| ~ a26 ) ).
cnf(clause_15C,negated_conjecture,
( ~ a25
| ~ a24
| a26 ) ).
cnf(clause_16A,negated_conjecture,
( ~ a21
| cI
| s2 ) ).
cnf(clause_16B,negated_conjecture,
( a21
| ~ cI
| s2 ) ).
cnf(clause_16C,negated_conjecture,
( a21
| cI
| ~ s2 ) ).
cnf(clause_16D,negated_conjecture,
( ~ a21
| ~ cI
| ~ s2 ) ).
cnf(clause_17A,negated_conjecture,
( ~ a22
| c2 ) ).
cnf(clause_17B,negated_conjecture,
( ~ a26
| c2 ) ).
cnf(clause_17C,negated_conjecture,
( a26
| a22
| ~ c2 ) ).
cnf(clause_18C,negated_conjecture,
( s2
| s1
| ~ conjline18 ) ).
cnf(clause_18D,negated_conjecture,
( ~ s2
| ~ s1
| ~ conjline18 ) ).
cnf(clause_19C,negated_conjecture,
( c2
| c1
| ~ conjline19 ) ).
cnf(clause_19D,negated_conjecture,
( ~ c2
| ~ c1
| ~ conjline19 ) ).
cnf(clause_20,negated_conjecture,
( conjline19
| conjline18 ) ).
cnf(c0,plain,
( a
| a11 ),
inference(clausification,[status(esa)],[clause_1A]) ).
cnf(c1,plain,
( b
| a11 ),
inference(clausification,[status(esa)],[clause_1B]) ).
cnf(c2,plain,
( ~ b
| ~ a
| ~ a11 ),
inference(clausification,[status(esa)],[clause_1C]) ).
cnf(c3,plain,
( a
| a12 ),
inference(clausification,[status(esa)],[clause_2A]) ).
cnf(c4,plain,
( a11
| a12 ),
inference(clausification,[status(esa)],[clause_2B]) ).
cnf(c5,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(clausification,[status(esa)],[clause_2C]) ).
cnf(c6,plain,
( b
| a13 ),
inference(clausification,[status(esa)],[clause_3A]) ).
cnf(c7,plain,
( a11
| a13 ),
inference(clausification,[status(esa)],[clause_3B]) ).
cnf(c8,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(clausification,[status(esa)],[clause_3C]) ).
cnf(c9,plain,
( a12
| a14 ),
inference(clausification,[status(esa)],[clause_4A]) ).
cnf(c10,plain,
( a13
| a14 ),
inference(clausification,[status(esa)],[clause_4B]) ).
cnf(c11,plain,
( ~ a13
| ~ a12
| ~ a14 ),
inference(clausification,[status(esa)],[clause_4C]) ).
cnf(c12,plain,
( a14
| a15 ),
inference(clausification,[status(esa)],[clause_5A]) ).
cnf(c13,plain,
( cI
| a15 ),
inference(clausification,[status(esa)],[clause_5B]) ).
cnf(c14,plain,
( ~ cI
| ~ a14
| ~ a15 ),
inference(clausification,[status(esa)],[clause_5C]) ).
cnf(c15,plain,
( a14
| a16 ),
inference(clausification,[status(esa)],[clause_6A]) ).
cnf(c16,plain,
( a15
| a16 ),
inference(clausification,[status(esa)],[clause_6B]) ).
cnf(c17,plain,
( ~ a15
| ~ a14
| ~ a16 ),
inference(clausification,[status(esa)],[clause_6C]) ).
cnf(c18,plain,
( a15
| a17 ),
inference(clausification,[status(esa)],[clause_7A]) ).
cnf(c19,plain,
( cI
| a17 ),
inference(clausification,[status(esa)],[clause_7B]) ).
cnf(c20,plain,
( ~ cI
| ~ a15
| ~ a17 ),
inference(clausification,[status(esa)],[clause_7C]) ).
cnf(c21,plain,
( a16
| s1 ),
inference(clausification,[status(esa)],[clause_8A]) ).
cnf(c22,plain,
( a17
| s1 ),
inference(clausification,[status(esa)],[clause_8B]) ).
cnf(c23,plain,
( ~ a17
| ~ a16
| ~ s1 ),
inference(clausification,[status(esa)],[clause_8C]) ).
cnf(c24,plain,
( a15
| c1 ),
inference(clausification,[status(esa)],[clause_9A]) ).
cnf(c25,plain,
( a11
| c1 ),
inference(clausification,[status(esa)],[clause_9B]) ).
cnf(c26,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(clausification,[status(esa)],[clause_9C]) ).
cnf(c27,plain,
( ~ b
| a
| a21 ),
inference(clausification,[status(esa)],[clause_10A]) ).
cnf(c28,plain,
( b
| ~ a
| a21 ),
inference(clausification,[status(esa)],[clause_10B]) ).
cnf(c29,plain,
( b
| a
| ~ a21 ),
inference(clausification,[status(esa)],[clause_10C]) ).
cnf(c30,plain,
( ~ b
| ~ a
| ~ a21 ),
inference(clausification,[status(esa)],[clause_10D]) ).
cnf(c31,plain,
( cI
| ~ a22 ),
inference(clausification,[status(esa)],[clause_11A]) ).
cnf(c32,plain,
( a23
| ~ a22 ),
inference(clausification,[status(esa)],[clause_11B]) ).
cnf(c33,plain,
( ~ a23
| ~ cI
| a22 ),
inference(clausification,[status(esa)],[clause_11C]) ).
cnf(c34,plain,
( ~ a
| a23 ),
inference(clausification,[status(esa)],[clause_12A]) ).
cnf(c35,plain,
( ~ b
| a23 ),
inference(clausification,[status(esa)],[clause_12B]) ).
cnf(c36,plain,
( b
| a
| ~ a23 ),
inference(clausification,[status(esa)],[clause_12C]) ).
cnf(c37,plain,
( cI
| a24 ),
inference(clausification,[status(esa)],[clause_13A]) ).
cnf(c39,plain,
( a
| ~ a25 ),
inference(clausification,[status(esa)],[clause_14A]) ).
cnf(c40,plain,
( b
| ~ a25 ),
inference(clausification,[status(esa)],[clause_14B]) ).
cnf(c41,plain,
( ~ b
| ~ a
| a25 ),
inference(clausification,[status(esa)],[clause_14C]) ).
cnf(c43,plain,
( a25
| ~ a26 ),
inference(clausification,[status(esa)],[clause_15B]) ).
cnf(c44,plain,
( ~ a25
| ~ a24
| a26 ),
inference(clausification,[status(esa)],[clause_15C]) ).
cnf(c45,plain,
( ~ a21
| cI
| s2 ),
inference(clausification,[status(esa)],[clause_16A]) ).
cnf(c46,plain,
( a21
| ~ cI
| s2 ),
inference(clausification,[status(esa)],[clause_16B]) ).
cnf(c47,plain,
( a21
| cI
| ~ s2 ),
inference(clausification,[status(esa)],[clause_16C]) ).
cnf(c48,plain,
( ~ a21
| ~ cI
| ~ s2 ),
inference(clausification,[status(esa)],[clause_16D]) ).
cnf(c49,plain,
( ~ a22
| c2 ),
inference(clausification,[status(esa)],[clause_17A]) ).
cnf(c50,plain,
( ~ a26
| c2 ),
inference(clausification,[status(esa)],[clause_17B]) ).
cnf(c51,plain,
( a26
| a22
| ~ c2 ),
inference(clausification,[status(esa)],[clause_17C]) ).
cnf(c54,plain,
( s2
| s1
| ~ conjline18 ),
inference(clausification,[status(esa)],[clause_18C]) ).
cnf(c55,plain,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(clausification,[status(esa)],[clause_18D]) ).
cnf(c58,plain,
( c2
| c1
| ~ conjline19 ),
inference(clausification,[status(esa)],[clause_19C]) ).
cnf(c59,plain,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(clausification,[status(esa)],[clause_19D]) ).
cnf(c60,plain,
( conjline19
| conjline18 ),
inference(clausification,[status(esa)],[clause_20]) ).
cnf(d0,plain,
( conjline18
| ~ c2
| ~ c1 ),
inference(resolution,[status(thm)],[c59,c60]) ).
cnf(d1,plain,
( a14
| ~ b
| ~ a11 ),
inference(resolution,[status(thm)],[c8,c10]) ).
cnf(d2,plain,
( ~ a13
| ~ a12
| a15 ),
inference(resolution,[status(thm)],[c12,c11]) ).
cnf(d3,plain,
( b
| a15
| ~ a12 ),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
( a
| a15
| b ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
( s1
| ~ cI
| ~ a15 ),
inference(resolution,[status(thm)],[c20,c22]) ).
cnf(d6,plain,
( conjline18
| c2
| c1 ),
inference(resolution,[status(thm)],[c58,c60]) ).
cnf(d7,plain,
( s2
| s1
| c2
| c1 ),
inference(resolution,[status(thm)],[d6,c54]) ).
cnf(d8,plain,
( a26
| a22
| s2
| c1
| s1 ),
inference(resolution,[status(thm)],[d7,c51]) ).
cnf(d9,plain,
( a25
| s2
| a22
| c1
| s1 ),
inference(resolution,[status(thm)],[d8,c43]) ).
cnf(d10,plain,
( b
| s2
| a22
| c1
| s1 ),
inference(resolution,[status(thm)],[d9,c40]) ).
cnf(d11,plain,
( cI
| s2
| c1
| s1
| b ),
inference(resolution,[status(thm)],[d10,c31]) ).
cnf(d12,plain,
( ~ a15
| ~ a11
| s2
| s1
| cI
| b ),
inference(resolution,[status(thm)],[d11,c26]) ).
cnf(d13,plain,
( cI
| s2
| s1
| cI
| b
| ~ a11 ),
inference(resolution,[status(thm)],[d12,c13]) ).
cnf(d14,plain,
( b
| s2
| s1
| cI
| b ),
inference(resolution,[status(thm)],[d13,c1]) ).
cnf(d15,plain,
( ~ a17
| ~ a16
| s2
| cI
| b ),
inference(resolution,[status(thm)],[d14,c23]) ).
cnf(d16,plain,
( cI
| s2
| ~ a16
| cI
| b ),
inference(resolution,[status(thm)],[d15,c19]) ).
cnf(d17,plain,
( a14
| s2
| cI
| b ),
inference(resolution,[status(thm)],[d16,c15]) ).
cnf(d18,plain,
( ~ a13
| ~ a12
| s2
| cI
| b ),
inference(resolution,[status(thm)],[d17,c11]) ).
cnf(d19,plain,
( b
| s2
| cI
| ~ a12
| b ),
inference(resolution,[status(thm)],[d18,c6]) ).
cnf(d20,plain,
( a
| s2
| cI
| b ),
inference(resolution,[status(thm)],[d19,c3]) ).
cnf(d21,plain,
( a21
| cI
| cI
| b
| a ),
inference(resolution,[status(thm)],[d20,c47]) ).
cnf(d22,plain,
( b
| a
| cI
| b
| a ),
inference(resolution,[status(thm)],[d21,c29]) ).
cnf(d23,plain,
( s1
| ~ a15
| b
| a ),
inference(resolution,[status(thm)],[d22,d5]) ).
cnf(d24,plain,
( b
| a
| s1
| b
| a ),
inference(resolution,[status(thm)],[d23,d4]) ).
cnf(d25,plain,
( ~ s2
| ~ s1
| c2
| c1 ),
inference(resolution,[status(thm)],[d6,c55]) ).
cnf(d26,plain,
( s2
| a21
| b
| a ),
inference(resolution,[status(thm)],[d22,c46]) ).
cnf(d27,plain,
( c2
| c1
| ~ s1
| a21
| b
| a ),
inference(resolution,[status(thm)],[d26,d25]) ).
cnf(d28,plain,
( b
| a
| c2
| a21
| c1
| b
| a ),
inference(resolution,[status(thm)],[d27,d24]) ).
cnf(d29,plain,
( a26
| a22
| a21
| c1
| b
| a ),
inference(resolution,[status(thm)],[d28,c51]) ).
cnf(d30,plain,
( a25
| a22
| a21
| c1
| b
| a ),
inference(resolution,[status(thm)],[d29,c43]) ).
cnf(d31,plain,
( b
| a22
| a21
| c1
| b
| a ),
inference(resolution,[status(thm)],[d30,c40]) ).
cnf(d32,plain,
( a23
| a21
| c1
| b
| a ),
inference(resolution,[status(thm)],[d31,c32]) ).
cnf(d33,plain,
( b
| a
| a21
| c1
| b
| a ),
inference(resolution,[status(thm)],[d32,c36]) ).
cnf(d34,plain,
( ~ a15
| ~ a11
| a21
| b
| a ),
inference(resolution,[status(thm)],[d33,c26]) ).
cnf(d35,plain,
( b
| a
| a21
| b
| ~ a11
| a ),
inference(resolution,[status(thm)],[d34,d4]) ).
cnf(d36,plain,
( b
| a21
| b
| a ),
inference(resolution,[status(thm)],[d35,c1]) ).
cnf(d37,plain,
( b
| a
| b
| a ),
inference(resolution,[status(thm)],[d36,c29]) ).
cnf(d38,plain,
( a14
| ~ a11
| a ),
inference(resolution,[status(thm)],[d37,d1]) ).
cnf(d39,plain,
( a
| a14
| a ),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
( s1
| ~ a15
| ~ a14 ),
inference(resolution,[status(thm)],[c17,c21]) ).
cnf(d41,plain,
( cI
| s1
| ~ a14 ),
inference(resolution,[status(thm)],[d40,c13]) ).
cnf(d42,plain,
( s1
| cI
| a ),
inference(resolution,[status(thm)],[d39,d41]) ).
cnf(d43,plain,
( a21
| a
| a ),
inference(resolution,[status(thm)],[d37,c27]) ).
cnf(d44,plain,
( s2
| cI
| a ),
inference(resolution,[status(thm)],[d43,c45]) ).
cnf(d45,plain,
( c2
| c1
| ~ s1
| cI
| a ),
inference(resolution,[status(thm)],[d44,d25]) ).
cnf(d46,plain,
( cI
| a
| c2
| c1
| cI
| a ),
inference(resolution,[status(thm)],[d45,d42]) ).
cnf(d47,plain,
( a26
| a22
| c1
| cI
| a ),
inference(resolution,[status(thm)],[d46,c51]) ).
cnf(d48,plain,
( a25
| a22
| c1
| cI
| a ),
inference(resolution,[status(thm)],[d47,c43]) ).
cnf(d49,plain,
( a
| a22
| c1
| cI
| a ),
inference(resolution,[status(thm)],[d48,c39]) ).
cnf(d50,plain,
( cI
| c1
| cI
| a ),
inference(resolution,[status(thm)],[d49,c31]) ).
cnf(d51,plain,
( ~ a15
| ~ a11
| cI
| a ),
inference(resolution,[status(thm)],[d50,c26]) ).
cnf(d52,plain,
( cI
| cI
| ~ a11
| a ),
inference(resolution,[status(thm)],[d51,c13]) ).
cnf(d53,plain,
( a
| cI
| a ),
inference(resolution,[status(thm)],[d52,c0]) ).
cnf(d54,plain,
( ~ a15
| ~ a14
| a ),
inference(resolution,[status(thm)],[d53,c14]) ).
cnf(d55,plain,
( a23
| a ),
inference(resolution,[status(thm)],[d37,c35]) ).
cnf(d56,plain,
( a22
| ~ cI
| a ),
inference(resolution,[status(thm)],[d55,c33]) ).
cnf(d57,plain,
( a22
| a
| a ),
inference(resolution,[status(thm)],[d53,d56]) ).
cnf(d58,plain,
( c2
| a ),
inference(resolution,[status(thm)],[d57,c49]) ).
cnf(d59,plain,
( conjline18
| ~ c1
| a ),
inference(resolution,[status(thm)],[d58,d0]) ).
cnf(d60,plain,
( a15
| conjline18
| a ),
inference(resolution,[status(thm)],[d59,c24]) ).
cnf(d61,plain,
( s2
| s1
| a15
| a ),
inference(resolution,[status(thm)],[d60,c54]) ).
cnf(d62,plain,
( ~ a17
| ~ a16
| s2
| a15
| a ),
inference(resolution,[status(thm)],[d61,c23]) ).
cnf(d63,plain,
( a15
| s2
| ~ a16
| a15
| a ),
inference(resolution,[status(thm)],[d62,c18]) ).
cnf(d64,plain,
( a15
| s2
| a15
| a ),
inference(resolution,[status(thm)],[d63,c16]) ).
cnf(d65,plain,
( ~ a21
| ~ cI
| a15
| a ),
inference(resolution,[status(thm)],[d64,c48]) ).
cnf(d66,plain,
( a
| ~ cI
| a15
| a ),
inference(resolution,[status(thm)],[d65,d43]) ).
cnf(d67,plain,
( a
| a15
| a ),
inference(resolution,[status(thm)],[d66,d53]) ).
cnf(d68,plain,
( ~ a14
| a
| a ),
inference(resolution,[status(thm)],[d67,d54]) ).
cnf(d69,plain,
( a
| a ),
inference(resolution,[status(thm)],[d68,d39]) ).
cnf(d70,plain,
( ~ b
| ~ a11 ),
inference(resolution,[status(thm)],[d69,c2]) ).
cnf(d71,plain,
( a14
| ~ a11
| ~ a ),
inference(resolution,[status(thm)],[c5,c9]) ).
cnf(d72,plain,
( b
| a14
| ~ a ),
inference(resolution,[status(thm)],[d71,c1]) ).
cnf(d73,plain,
( a14
| b ),
inference(resolution,[status(thm)],[d69,d72]) ).
cnf(d74,plain,
( s1
| cI
| b ),
inference(resolution,[status(thm)],[d73,d41]) ).
cnf(d75,plain,
( a21
| b ),
inference(resolution,[status(thm)],[d69,c28]) ).
cnf(d76,plain,
( s2
| cI
| b ),
inference(resolution,[status(thm)],[d75,c45]) ).
cnf(d77,plain,
( c2
| c1
| ~ s1
| cI
| b ),
inference(resolution,[status(thm)],[d76,d25]) ).
cnf(d78,plain,
( cI
| b
| c2
| c1
| cI
| b ),
inference(resolution,[status(thm)],[d77,d74]) ).
cnf(d79,plain,
( a26
| a22
| c1
| cI
| b ),
inference(resolution,[status(thm)],[d78,c51]) ).
cnf(d80,plain,
( a25
| a22
| c1
| cI
| b ),
inference(resolution,[status(thm)],[d79,c43]) ).
cnf(d81,plain,
( b
| a22
| c1
| cI
| b ),
inference(resolution,[status(thm)],[d80,c40]) ).
cnf(d82,plain,
( cI
| c1
| cI
| b ),
inference(resolution,[status(thm)],[d81,c31]) ).
cnf(d83,plain,
( ~ a15
| ~ a11
| cI
| b ),
inference(resolution,[status(thm)],[d82,c26]) ).
cnf(d84,plain,
( cI
| cI
| b
| ~ a11 ),
inference(resolution,[status(thm)],[d83,c13]) ).
cnf(d85,plain,
( b
| cI
| b ),
inference(resolution,[status(thm)],[d84,c1]) ).
cnf(d86,plain,
( ~ a15
| ~ a14
| b ),
inference(resolution,[status(thm)],[d85,c14]) ).
cnf(d87,plain,
a23,
inference(resolution,[status(thm)],[d69,c34]) ).
cnf(d88,plain,
( a22
| ~ cI ),
inference(resolution,[status(thm)],[d87,c33]) ).
cnf(d89,plain,
( a22
| b ),
inference(resolution,[status(thm)],[d85,d88]) ).
cnf(d90,plain,
( c2
| b ),
inference(resolution,[status(thm)],[d89,c49]) ).
cnf(d91,plain,
( conjline18
| ~ c1
| b ),
inference(resolution,[status(thm)],[d90,d0]) ).
cnf(d92,plain,
( a15
| conjline18
| b ),
inference(resolution,[status(thm)],[d91,c24]) ).
cnf(d93,plain,
( s2
| s1
| a15
| b ),
inference(resolution,[status(thm)],[d92,c54]) ).
cnf(d94,plain,
( ~ a17
| ~ a16
| s2
| a15
| b ),
inference(resolution,[status(thm)],[d93,c23]) ).
cnf(d95,plain,
( a15
| s2
| ~ a16
| a15
| b ),
inference(resolution,[status(thm)],[d94,c18]) ).
cnf(d96,plain,
( a15
| s2
| a15
| b ),
inference(resolution,[status(thm)],[d95,c16]) ).
cnf(d97,plain,
( ~ a21
| ~ cI
| a15
| b ),
inference(resolution,[status(thm)],[d96,c48]) ).
cnf(d98,plain,
( b
| ~ cI
| a15
| b ),
inference(resolution,[status(thm)],[d97,d75]) ).
cnf(d99,plain,
( b
| a15
| b ),
inference(resolution,[status(thm)],[d98,d85]) ).
cnf(d100,plain,
( ~ a14
| b
| b ),
inference(resolution,[status(thm)],[d99,d86]) ).
cnf(d101,plain,
( b
| b ),
inference(resolution,[status(thm)],[d100,d73]) ).
cnf(d102,plain,
~ a11,
inference(resolution,[status(thm)],[d101,d70]) ).
cnf(d103,plain,
c1,
inference(resolution,[status(thm)],[d102,c25]) ).
cnf(d104,plain,
( conjline18
| ~ c2 ),
inference(resolution,[status(thm)],[d103,d0]) ).
cnf(d105,plain,
( a11
| a15
| ~ a12 ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d106,plain,
( a11
| a15
| a11 ),
inference(resolution,[status(thm)],[d105,c4]) ).
cnf(d107,plain,
a15,
inference(resolution,[status(thm)],[d102,d106]) ).
cnf(d108,plain,
( s1
| ~ cI ),
inference(resolution,[status(thm)],[d107,d5]) ).
cnf(d109,plain,
( ~ a21
| ~ b ),
inference(resolution,[status(thm)],[d69,c30]) ).
cnf(d110,plain,
~ a21,
inference(resolution,[status(thm)],[d101,d109]) ).
cnf(d111,plain,
( ~ s2
| cI ),
inference(resolution,[status(thm)],[d110,c47]) ).
cnf(d112,plain,
a12,
inference(resolution,[status(thm)],[d102,c4]) ).
cnf(d113,plain,
( ~ a14
| ~ a13 ),
inference(resolution,[status(thm)],[d112,c11]) ).
cnf(d114,plain,
a13,
inference(resolution,[status(thm)],[d102,c7]) ).
cnf(d115,plain,
~ a14,
inference(resolution,[status(thm)],[d114,d113]) ).
cnf(d116,plain,
a16,
inference(resolution,[status(thm)],[d115,c15]) ).
cnf(d117,plain,
( ~ s1
| ~ a17 ),
inference(resolution,[status(thm)],[d116,c23]) ).
cnf(d118,plain,
( a25
| ~ b ),
inference(resolution,[status(thm)],[d69,c41]) ).
cnf(d119,plain,
a25,
inference(resolution,[status(thm)],[d101,d118]) ).
cnf(d120,plain,
( a26
| ~ a24 ),
inference(resolution,[status(thm)],[d119,c44]) ).
cnf(d121,plain,
( cI
| a26 ),
inference(resolution,[status(thm)],[d120,c37]) ).
cnf(d122,plain,
( c2
| cI ),
inference(resolution,[status(thm)],[d121,c50]) ).
cnf(d123,plain,
( conjline18
| cI ),
inference(resolution,[status(thm)],[d122,d104]) ).
cnf(d124,plain,
( s2
| s1
| cI ),
inference(resolution,[status(thm)],[d123,c54]) ).
cnf(d125,plain,
( ~ a17
| s2
| cI ),
inference(resolution,[status(thm)],[d124,d117]) ).
cnf(d126,plain,
( cI
| s2
| cI ),
inference(resolution,[status(thm)],[d125,c19]) ).
cnf(d127,plain,
( cI
| cI ),
inference(resolution,[status(thm)],[d126,d111]) ).
cnf(d128,plain,
s1,
inference(resolution,[status(thm)],[d127,d108]) ).
cnf(d129,plain,
( ~ conjline18
| ~ s2 ),
inference(resolution,[status(thm)],[d128,c55]) ).
cnf(d130,plain,
( s2
| ~ cI ),
inference(resolution,[status(thm)],[d110,c46]) ).
cnf(d131,plain,
s2,
inference(resolution,[status(thm)],[d127,d130]) ).
cnf(d132,plain,
~ conjline18,
inference(resolution,[status(thm)],[d131,d129]) ).
cnf(d133,plain,
~ c2,
inference(resolution,[status(thm)],[d132,d104]) ).
cnf(d134,plain,
a22,
inference(resolution,[status(thm)],[d127,d88]) ).
cnf(d135,plain,
c2,
inference(resolution,[status(thm)],[d134,c49]) ).
cnf(d136,plain,
$false,
inference(resolution,[status(thm)],[d135,d133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.37 % Computer : n018.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Fri Sep 25 16:01:42 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.33/6.92 % SZS status Unsatisfiable for theBenchmark.p
% 12.33/6.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------