%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:20:41 AM UTC 2026
% Result : Unsatisfiable 10.40s 1.78s
% Output : CNFRefutation 10.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of clauses : 160 ( 34 unt; 0 nHn; 160 RR)
% Number of literals : 580 ( 0 equ; 427 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
~ 'p$u0' ).
cnf(clause_2,negated_conjecture,
( ~ 'p$u1$u5'
| ~ 'p$u1$u4'
| ~ 'p$u1$u3'
| ~ 'p$u1$u2'
| ~ 'p$u1$u1'
| 'p$u0' ) ).
cnf(clause_3,negated_conjecture,
( ~ 'p$u2$u5'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u2'
| ~ 'p$u2$u1'
| 'p$u1$u1' ) ).
cnf(clause_4,negated_conjecture,
( ~ 'p$u2$u5'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u2'
| ~ 'p$u2$u1'
| 'p$u1$u2' ) ).
cnf(clause_5,negated_conjecture,
( ~ 'p$u2$u5'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u2'
| ~ 'p$u2$u1'
| 'p$u1$u3' ) ).
cnf(clause_6,negated_conjecture,
( ~ 'p$u2$u5'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u2'
| ~ 'p$u2$u1'
| 'p$u1$u4' ) ).
cnf(clause_7,negated_conjecture,
( ~ 'p$u2$u5'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u2'
| ~ 'p$u2$u1'
| 'p$u1$u5' ) ).
cnf(clause_8,negated_conjecture,
( ~ 'p$u3$u5'
| ~ 'p$u3$u4'
| ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| ~ 'p$u3$u1'
| 'p$u2$u1' ) ).
cnf(clause_9,negated_conjecture,
( ~ 'p$u3$u5'
| ~ 'p$u3$u4'
| ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| ~ 'p$u3$u1'
| 'p$u2$u2' ) ).
cnf(clause_10,negated_conjecture,
( ~ 'p$u3$u5'
| ~ 'p$u3$u4'
| ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| ~ 'p$u3$u1'
| 'p$u2$u3' ) ).
cnf(clause_11,negated_conjecture,
( ~ 'p$u3$u5'
| ~ 'p$u3$u4'
| ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| ~ 'p$u3$u1'
| 'p$u2$u4' ) ).
cnf(clause_12,negated_conjecture,
( ~ 'p$u3$u5'
| ~ 'p$u3$u4'
| ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| ~ 'p$u3$u1'
| 'p$u2$u5' ) ).
cnf(clause_13,negated_conjecture,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u1'
| 'p$u3$u1' ) ).
cnf(clause_14,negated_conjecture,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u1'
| 'p$u3$u2' ) ).
cnf(clause_15,negated_conjecture,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u1'
| 'p$u3$u3' ) ).
cnf(clause_16,negated_conjecture,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u1'
| 'p$u3$u4' ) ).
cnf(clause_17,negated_conjecture,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u1'
| 'p$u3$u5' ) ).
cnf(clause_18,negated_conjecture,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| ~ 'p$u5$u3'
| ~ 'p$u5$u2'
| ~ 'p$u5$u1'
| 'p$u4$u1' ) ).
cnf(clause_19,negated_conjecture,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| ~ 'p$u5$u3'
| ~ 'p$u5$u2'
| ~ 'p$u5$u1'
| 'p$u4$u2' ) ).
cnf(clause_20,negated_conjecture,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| ~ 'p$u5$u3'
| ~ 'p$u5$u2'
| ~ 'p$u5$u1'
| 'p$u4$u3' ) ).
cnf(clause_21,negated_conjecture,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| ~ 'p$u5$u3'
| ~ 'p$u5$u2'
| ~ 'p$u5$u1'
| 'p$u4$u4' ) ).
cnf(clause_22,negated_conjecture,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| ~ 'p$u5$u3'
| ~ 'p$u5$u2'
| ~ 'p$u5$u1'
| 'p$u4$u5' ) ).
cnf(clause_23,negated_conjecture,
'p$u5$u1' ).
cnf(clause_24,negated_conjecture,
'p$u5$u2' ).
cnf(clause_25,negated_conjecture,
'p$u5$u3' ).
cnf(clause_26,negated_conjecture,
'p$u5$u4' ).
cnf(clause_27,negated_conjecture,
'p$u5$u5' ).
cnf(c0,plain,
~ 'p$u0',
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ 'p$u1$u5'
| ~ 'p$u1$u1'
| 'p$u0'
| ~ 'p$u1$u4'
| ~ 'p$u1$u3'
| ~ 'p$u1$u2' ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'p$u1$u1'
| ~ 'p$u2$u5'
| ~ 'p$u2$u2'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u1' ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( ~ 'p$u2$u5'
| ~ 'p$u2$u2'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u1'
| 'p$u1$u2' ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( ~ 'p$u2$u5'
| ~ 'p$u2$u2'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u1'
| 'p$u1$u3' ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( ~ 'p$u2$u5'
| ~ 'p$u2$u2'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u1'
| 'p$u1$u4' ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( ~ 'p$u2$u5'
| 'p$u1$u5'
| ~ 'p$u2$u2'
| ~ 'p$u2$u4'
| ~ 'p$u2$u3'
| ~ 'p$u2$u1' ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c7,plain,
( ~ 'p$u3$u4'
| ~ 'p$u3$u1'
| 'p$u2$u1'
| ~ 'p$u3$u2'
| ~ 'p$u3$u3'
| ~ 'p$u3$u5' ),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c8,plain,
( ~ 'p$u3$u4'
| ~ 'p$u3$u1'
| ~ 'p$u3$u2'
| 'p$u2$u2'
| ~ 'p$u3$u3'
| ~ 'p$u3$u5' ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c9,plain,
( ~ 'p$u3$u4'
| ~ 'p$u3$u1'
| ~ 'p$u3$u2'
| ~ 'p$u3$u3'
| 'p$u2$u3'
| ~ 'p$u3$u5' ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c10,plain,
( ~ 'p$u3$u1'
| 'p$u2$u4'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| ~ 'p$u3$u3'
| ~ 'p$u3$u5' ),
inference(clausification,[status(esa)],[clause_11]) ).
cnf(c11,plain,
( 'p$u2$u5'
| ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u1'
| ~ 'p$u3$u2'
| ~ 'p$u3$u5' ),
inference(clausification,[status(esa)],[clause_12]) ).
cnf(c12,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u5'
| 'p$u3$u1'
| ~ 'p$u4$u4'
| ~ 'p$u4$u1' ),
inference(clausification,[status(esa)],[clause_13]) ).
cnf(c13,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u1'
| 'p$u3$u2' ),
inference(clausification,[status(esa)],[clause_14]) ).
cnf(c14,plain,
( 'p$u3$u3'
| ~ 'p$u4$u4'
| ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u5'
| ~ 'p$u4$u1' ),
inference(clausification,[status(esa)],[clause_15]) ).
cnf(c15,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u4'
| ~ 'p$u4$u1' ),
inference(clausification,[status(esa)],[clause_16]) ).
cnf(c16,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u2'
| ~ 'p$u4$u5'
| 'p$u3$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u1' ),
inference(clausification,[status(esa)],[clause_17]) ).
cnf(c17,plain,
( ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| 'p$u4$u1'
| ~ 'p$u5$u1'
| ~ 'p$u5$u5'
| ~ 'p$u5$u4' ),
inference(clausification,[status(esa)],[clause_18]) ).
cnf(c18,plain,
( ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u1'
| ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u2' ),
inference(clausification,[status(esa)],[clause_19]) ).
cnf(c19,plain,
( ~ 'p$u5$u2'
| 'p$u4$u3'
| ~ 'p$u5$u3'
| ~ 'p$u5$u1'
| ~ 'p$u5$u5'
| ~ 'p$u5$u4' ),
inference(clausification,[status(esa)],[clause_20]) ).
cnf(c20,plain,
( ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u1'
| ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u4' ),
inference(clausification,[status(esa)],[clause_21]) ).
cnf(c21,plain,
( ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u1'
| 'p$u4$u5'
| ~ 'p$u5$u5'
| ~ 'p$u5$u4' ),
inference(clausification,[status(esa)],[clause_22]) ).
cnf(c22,plain,
'p$u5$u1',
inference(clausification,[status(esa)],[clause_23]) ).
cnf(c23,plain,
'p$u5$u2',
inference(clausification,[status(esa)],[clause_24]) ).
cnf(c24,plain,
'p$u5$u3',
inference(clausification,[status(esa)],[clause_25]) ).
cnf(c25,plain,
'p$u5$u4',
inference(clausification,[status(esa)],[clause_26]) ).
cnf(c26,plain,
'p$u5$u5',
inference(clausification,[status(esa)],[clause_27]) ).
cnf(d0,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u1' ),
inference(resolution,[status(thm)],[c22,c17]) ).
cnf(d1,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u1' ),
inference(resolution,[status(thm)],[c23,d0]) ).
cnf(d2,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u1' ),
inference(resolution,[status(thm)],[c24,d1]) ).
cnf(d3,plain,
( ~ 'p$u5$u5'
| 'p$u4$u1' ),
inference(resolution,[status(thm)],[c25,d2]) ).
cnf(d4,plain,
'p$u4$u1',
inference(resolution,[status(thm)],[c26,d3]) ).
cnf(d5,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u2'
| 'p$u3$u1' ),
inference(resolution,[status(thm)],[d4,c12]) ).
cnf(d6,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u2' ),
inference(resolution,[status(thm)],[c22,c18]) ).
cnf(d7,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u2' ),
inference(resolution,[status(thm)],[c23,d6]) ).
cnf(d8,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u2' ),
inference(resolution,[status(thm)],[c24,d7]) ).
cnf(d9,plain,
( ~ 'p$u5$u5'
| 'p$u4$u2' ),
inference(resolution,[status(thm)],[c25,d8]) ).
cnf(d10,plain,
'p$u4$u2',
inference(resolution,[status(thm)],[c26,d9]) ).
cnf(d11,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u1' ),
inference(resolution,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u3' ),
inference(resolution,[status(thm)],[c22,c19]) ).
cnf(d13,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u3' ),
inference(resolution,[status(thm)],[c23,d12]) ).
cnf(d14,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u3' ),
inference(resolution,[status(thm)],[c24,d13]) ).
cnf(d15,plain,
( ~ 'p$u5$u5'
| 'p$u4$u3' ),
inference(resolution,[status(thm)],[c25,d14]) ).
cnf(d16,plain,
'p$u4$u3',
inference(resolution,[status(thm)],[c26,d15]) ).
cnf(d17,plain,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u1' ),
inference(resolution,[status(thm)],[d16,d11]) ).
cnf(d18,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u4' ),
inference(resolution,[status(thm)],[c22,c20]) ).
cnf(d19,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u4' ),
inference(resolution,[status(thm)],[c23,d18]) ).
cnf(d20,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u4' ),
inference(resolution,[status(thm)],[c24,d19]) ).
cnf(d21,plain,
( ~ 'p$u5$u5'
| 'p$u4$u4' ),
inference(resolution,[status(thm)],[c25,d20]) ).
cnf(d22,plain,
'p$u4$u4',
inference(resolution,[status(thm)],[c26,d21]) ).
cnf(d23,plain,
( ~ 'p$u4$u5'
| 'p$u3$u1' ),
inference(resolution,[status(thm)],[d22,d17]) ).
cnf(d24,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u2'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u5' ),
inference(resolution,[status(thm)],[c22,c21]) ).
cnf(d25,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u3'
| ~ 'p$u5$u4'
| 'p$u4$u5' ),
inference(resolution,[status(thm)],[c23,d24]) ).
cnf(d26,plain,
( ~ 'p$u5$u5'
| ~ 'p$u5$u4'
| 'p$u4$u5' ),
inference(resolution,[status(thm)],[c24,d25]) ).
cnf(d27,plain,
( ~ 'p$u5$u5'
| 'p$u4$u5' ),
inference(resolution,[status(thm)],[c25,d26]) ).
cnf(d28,plain,
'p$u4$u5',
inference(resolution,[status(thm)],[c26,d27]) ).
cnf(d29,plain,
'p$u3$u1',
inference(resolution,[status(thm)],[d28,d23]) ).
cnf(d30,plain,
( ~ 'p$u3$u5'
| ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u1' ),
inference(resolution,[status(thm)],[d29,c7]) ).
cnf(d31,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u2'
| 'p$u3$u5' ),
inference(resolution,[status(thm)],[d4,c16]) ).
cnf(d32,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u5' ),
inference(resolution,[status(thm)],[d10,d31]) ).
cnf(d33,plain,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u5' ),
inference(resolution,[status(thm)],[d16,d32]) ).
cnf(d34,plain,
( ~ 'p$u4$u5'
| 'p$u3$u5' ),
inference(resolution,[status(thm)],[d22,d33]) ).
cnf(d35,plain,
'p$u3$u5',
inference(resolution,[status(thm)],[d28,d34]) ).
cnf(d36,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u1' ),
inference(resolution,[status(thm)],[d35,d30]) ).
cnf(d37,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u2'
| 'p$u3$u4' ),
inference(resolution,[status(thm)],[d4,c15]) ).
cnf(d38,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u4' ),
inference(resolution,[status(thm)],[d10,d37]) ).
cnf(d39,plain,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u4' ),
inference(resolution,[status(thm)],[d16,d38]) ).
cnf(d40,plain,
( ~ 'p$u4$u5'
| 'p$u3$u4' ),
inference(resolution,[status(thm)],[d22,d39]) ).
cnf(d41,plain,
'p$u3$u4',
inference(resolution,[status(thm)],[d28,d40]) ).
cnf(d42,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| 'p$u2$u1' ),
inference(resolution,[status(thm)],[d41,d36]) ).
cnf(d43,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u2'
| 'p$u3$u3' ),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d44,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u3' ),
inference(resolution,[status(thm)],[d10,d43]) ).
cnf(d45,plain,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u3' ),
inference(resolution,[status(thm)],[d16,d44]) ).
cnf(d46,plain,
( ~ 'p$u4$u5'
| 'p$u3$u3' ),
inference(resolution,[status(thm)],[d22,d45]) ).
cnf(d47,plain,
'p$u3$u3',
inference(resolution,[status(thm)],[d28,d46]) ).
cnf(d48,plain,
( ~ 'p$u3$u2'
| 'p$u2$u1' ),
inference(resolution,[status(thm)],[d47,d42]) ).
cnf(d49,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| ~ 'p$u4$u2'
| 'p$u3$u2' ),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d50,plain,
( ~ 'p$u4$u3'
| ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u2' ),
inference(resolution,[status(thm)],[d10,d49]) ).
cnf(d51,plain,
( ~ 'p$u4$u5'
| ~ 'p$u4$u4'
| 'p$u3$u2' ),
inference(resolution,[status(thm)],[d16,d50]) ).
cnf(d52,plain,
( ~ 'p$u4$u5'
| 'p$u3$u2' ),
inference(resolution,[status(thm)],[d22,d51]) ).
cnf(d53,plain,
'p$u3$u2',
inference(resolution,[status(thm)],[d28,d52]) ).
cnf(d54,plain,
'p$u2$u1',
inference(resolution,[status(thm)],[d53,d48]) ).
cnf(d55,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u2'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u5' ),
inference(resolution,[status(thm)],[d54,c6]) ).
cnf(d56,plain,
( ~ 'p$u3$u5'
| ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u2' ),
inference(resolution,[status(thm)],[d29,c8]) ).
cnf(d57,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u2' ),
inference(resolution,[status(thm)],[d35,d56]) ).
cnf(d58,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| 'p$u2$u2' ),
inference(resolution,[status(thm)],[d41,d57]) ).
cnf(d59,plain,
( ~ 'p$u3$u2'
| 'p$u2$u2' ),
inference(resolution,[status(thm)],[d47,d58]) ).
cnf(d60,plain,
'p$u2$u2',
inference(resolution,[status(thm)],[d53,d59]) ).
cnf(d61,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u5' ),
inference(resolution,[status(thm)],[d60,d55]) ).
cnf(d62,plain,
( ~ 'p$u3$u5'
| ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u3' ),
inference(resolution,[status(thm)],[d29,c9]) ).
cnf(d63,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u3' ),
inference(resolution,[status(thm)],[d35,d62]) ).
cnf(d64,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| 'p$u2$u3' ),
inference(resolution,[status(thm)],[d41,d63]) ).
cnf(d65,plain,
( ~ 'p$u3$u2'
| 'p$u2$u3' ),
inference(resolution,[status(thm)],[d47,d64]) ).
cnf(d66,plain,
'p$u2$u3',
inference(resolution,[status(thm)],[d53,d65]) ).
cnf(d67,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| 'p$u1$u5' ),
inference(resolution,[status(thm)],[d66,d61]) ).
cnf(d68,plain,
( ~ 'p$u3$u5'
| ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u4' ),
inference(resolution,[status(thm)],[d29,c10]) ).
cnf(d69,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u4' ),
inference(resolution,[status(thm)],[d35,d68]) ).
cnf(d70,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| 'p$u2$u4' ),
inference(resolution,[status(thm)],[d41,d69]) ).
cnf(d71,plain,
( ~ 'p$u3$u2'
| 'p$u2$u4' ),
inference(resolution,[status(thm)],[d47,d70]) ).
cnf(d72,plain,
'p$u2$u4',
inference(resolution,[status(thm)],[d53,d71]) ).
cnf(d73,plain,
( ~ 'p$u2$u5'
| 'p$u1$u5' ),
inference(resolution,[status(thm)],[d72,d67]) ).
cnf(d74,plain,
( ~ 'p$u3$u5'
| ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u5' ),
inference(resolution,[status(thm)],[d29,c11]) ).
cnf(d75,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u4'
| ~ 'p$u3$u2'
| 'p$u2$u5' ),
inference(resolution,[status(thm)],[d35,d74]) ).
cnf(d76,plain,
( ~ 'p$u3$u3'
| ~ 'p$u3$u2'
| 'p$u2$u5' ),
inference(resolution,[status(thm)],[d41,d75]) ).
cnf(d77,plain,
( ~ 'p$u3$u2'
| 'p$u2$u5' ),
inference(resolution,[status(thm)],[d47,d76]) ).
cnf(d78,plain,
'p$u2$u5',
inference(resolution,[status(thm)],[d53,d77]) ).
cnf(d79,plain,
'p$u1$u5',
inference(resolution,[status(thm)],[d78,d73]) ).
cnf(d80,plain,
( ~ 'p$u1$u1'
| ~ 'p$u1$u5'
| ~ 'p$u1$u4'
| ~ 'p$u1$u3'
| ~ 'p$u1$u2' ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d81,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u2'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u1' ),
inference(resolution,[status(thm)],[d54,c2]) ).
cnf(d82,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u1' ),
inference(resolution,[status(thm)],[d60,d81]) ).
cnf(d83,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| 'p$u1$u1' ),
inference(resolution,[status(thm)],[d66,d82]) ).
cnf(d84,plain,
( ~ 'p$u2$u5'
| 'p$u1$u1' ),
inference(resolution,[status(thm)],[d72,d83]) ).
cnf(d85,plain,
'p$u1$u1',
inference(resolution,[status(thm)],[d78,d84]) ).
cnf(d86,plain,
( ~ 'p$u1$u5'
| ~ 'p$u1$u4'
| ~ 'p$u1$u3'
| ~ 'p$u1$u2' ),
inference(resolution,[status(thm)],[d85,d80]) ).
cnf(d87,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u2'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u2' ),
inference(resolution,[status(thm)],[d54,c3]) ).
cnf(d88,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u2' ),
inference(resolution,[status(thm)],[d60,d87]) ).
cnf(d89,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| 'p$u1$u2' ),
inference(resolution,[status(thm)],[d66,d88]) ).
cnf(d90,plain,
( ~ 'p$u2$u5'
| 'p$u1$u2' ),
inference(resolution,[status(thm)],[d72,d89]) ).
cnf(d91,plain,
'p$u1$u2',
inference(resolution,[status(thm)],[d78,d90]) ).
cnf(d92,plain,
( ~ 'p$u1$u5'
| ~ 'p$u1$u4'
| ~ 'p$u1$u3' ),
inference(resolution,[status(thm)],[d91,d86]) ).
cnf(d93,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u2'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u3' ),
inference(resolution,[status(thm)],[d54,c4]) ).
cnf(d94,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u3' ),
inference(resolution,[status(thm)],[d60,d93]) ).
cnf(d95,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| 'p$u1$u3' ),
inference(resolution,[status(thm)],[d66,d94]) ).
cnf(d96,plain,
( ~ 'p$u2$u5'
| 'p$u1$u3' ),
inference(resolution,[status(thm)],[d72,d95]) ).
cnf(d97,plain,
'p$u1$u3',
inference(resolution,[status(thm)],[d78,d96]) ).
cnf(d98,plain,
( ~ 'p$u1$u5'
| ~ 'p$u1$u4' ),
inference(resolution,[status(thm)],[d97,d92]) ).
cnf(d99,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u2'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u4' ),
inference(resolution,[status(thm)],[d54,c5]) ).
cnf(d100,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| ~ 'p$u2$u3'
| 'p$u1$u4' ),
inference(resolution,[status(thm)],[d60,d99]) ).
cnf(d101,plain,
( ~ 'p$u2$u4'
| ~ 'p$u2$u5'
| 'p$u1$u4' ),
inference(resolution,[status(thm)],[d66,d100]) ).
cnf(d102,plain,
( ~ 'p$u2$u5'
| 'p$u1$u4' ),
inference(resolution,[status(thm)],[d72,d101]) ).
cnf(d103,plain,
'p$u1$u4',
inference(resolution,[status(thm)],[d78,d102]) ).
cnf(d104,plain,
~ 'p$u1$u5',
inference(resolution,[status(thm)],[d103,d98]) ).
cnf(d105,plain,
$false,
inference(resolution,[status(thm)],[d104,d79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:03:41 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.40/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 10.40/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------