%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN090-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 09:21:17 AM UTC 2026
% Result : Unsatisfiable 11.49s 2.58s
% Output : CNFRefutation 11.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of clauses : 98 ( 30 unt; 0 nHn; 98 RR)
% Number of literals : 210 ( 0 equ; 121 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 26 ( 25 usr; 26 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s3_goal_1,negated_conjecture,
( ~ 'q$u0'
| ~ 'p$u0' ) ).
cnf(s3_type11_1,axiom,
( ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0' ) ).
cnf(s3_type11_3,axiom,
( ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(s3_type11_5,axiom,
( ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2' ) ).
cnf(s3_type11_7,axiom,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3' ) ).
cnf(s3_type11_9,axiom,
( ~ 'p$u6'
| ~ 'p$u5'
| 'p$u4' ) ).
cnf(s3_type11_11,axiom,
( ~ 'p$u7'
| ~ 'p$u6'
| 'p$u5' ) ).
cnf(s3_type11_13,axiom,
( ~ 'p$u8'
| ~ 'p$u7'
| 'p$u6' ) ).
cnf(s3_type11_15,axiom,
( ~ 'p$u9'
| ~ 'p$u8'
| 'p$u7' ) ).
cnf(s3_type11_17,axiom,
( ~ 'p$u10'
| ~ 'p$u9'
| 'p$u8' ) ).
cnf(s3_type11_19,axiom,
( ~ 'p$u11'
| ~ 'p$u10'
| 'p$u9' ) ).
cnf(s3_type11_21,axiom,
( ~ 'p$u12'
| ~ 'p$u11'
| 'p$u10' ) ).
cnf(s3_type11_23,axiom,
( ~ 'p$u13'
| ~ 'p$u12'
| 'p$u11' ) ).
cnf(s3_type11_25,axiom,
( ~ 'p$u14'
| ~ 'p$u13'
| 'p$u12' ) ).
cnf(s3_type11_27,axiom,
( ~ 'p$u15'
| ~ 'p$u14'
| 'p$u13' ) ).
cnf(s3_type12_2,axiom,
( ~ 'p$u2'
| ~ 'q$u1'
| 'q$u0' ) ).
cnf(s3_type12_4,axiom,
( ~ 'p$u3'
| ~ 'q$u2'
| 'q$u1' ) ).
cnf(s3_type12_5,axiom,
( ~ 'q$u4'
| ~ 'p$u3'
| 'q$u2' ) ).
cnf(s3_type12_9,axiom,
( ~ 'q$u6'
| ~ 'p$u5'
| 'q$u4' ) ).
cnf(s3_type12_13,axiom,
( ~ 'q$u8'
| ~ 'p$u7'
| 'q$u6' ) ).
cnf(s3_type12_17,axiom,
( ~ 'q$u10'
| ~ 'p$u9'
| 'q$u8' ) ).
cnf(s3_type12_21,axiom,
( ~ 'q$u12'
| ~ 'p$u11'
| 'q$u10' ) ).
cnf(s3_type12_25,axiom,
( ~ 'q$u14'
| ~ 'p$u13'
| 'q$u12' ) ).
cnf(t3_1,axiom,
'p$u14' ).
cnf(t3_2,axiom,
'p$u15' ).
cnf(t3_3,axiom,
'q$u14' ).
cnf(c0,plain,
( ~ 'q$u0'
| ~ 'p$u0' ),
inference(clausification,[status(esa)],[s3_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0' ),
inference(clausification,[status(esa)],[s3_type11_1]) ).
cnf(c3,plain,
( ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1' ),
inference(clausification,[status(esa)],[s3_type11_3]) ).
cnf(c5,plain,
( ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2' ),
inference(clausification,[status(esa)],[s3_type11_5]) ).
cnf(c7,plain,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3' ),
inference(clausification,[status(esa)],[s3_type11_7]) ).
cnf(c9,plain,
( ~ 'p$u6'
| ~ 'p$u5'
| 'p$u4' ),
inference(clausification,[status(esa)],[s3_type11_9]) ).
cnf(c11,plain,
( ~ 'p$u7'
| ~ 'p$u6'
| 'p$u5' ),
inference(clausification,[status(esa)],[s3_type11_11]) ).
cnf(c13,plain,
( ~ 'p$u8'
| ~ 'p$u7'
| 'p$u6' ),
inference(clausification,[status(esa)],[s3_type11_13]) ).
cnf(c15,plain,
( ~ 'p$u9'
| ~ 'p$u8'
| 'p$u7' ),
inference(clausification,[status(esa)],[s3_type11_15]) ).
cnf(c17,plain,
( ~ 'p$u10'
| ~ 'p$u9'
| 'p$u8' ),
inference(clausification,[status(esa)],[s3_type11_17]) ).
cnf(c19,plain,
( ~ 'p$u11'
| ~ 'p$u10'
| 'p$u9' ),
inference(clausification,[status(esa)],[s3_type11_19]) ).
cnf(c21,plain,
( ~ 'p$u12'
| ~ 'p$u11'
| 'p$u10' ),
inference(clausification,[status(esa)],[s3_type11_21]) ).
cnf(c23,plain,
( ~ 'p$u13'
| ~ 'p$u12'
| 'p$u11' ),
inference(clausification,[status(esa)],[s3_type11_23]) ).
cnf(c25,plain,
( ~ 'p$u14'
| ~ 'p$u13'
| 'p$u12' ),
inference(clausification,[status(esa)],[s3_type11_25]) ).
cnf(c27,plain,
( ~ 'p$u15'
| ~ 'p$u14'
| 'p$u13' ),
inference(clausification,[status(esa)],[s3_type11_27]) ).
cnf(c30,plain,
( ~ 'p$u2'
| ~ 'q$u1'
| 'q$u0' ),
inference(clausification,[status(esa)],[s3_type12_2]) ).
cnf(c32,plain,
( ~ 'p$u3'
| ~ 'q$u2'
| 'q$u1' ),
inference(clausification,[status(esa)],[s3_type12_4]) ).
cnf(c33,plain,
( ~ 'q$u4'
| ~ 'p$u3'
| 'q$u2' ),
inference(clausification,[status(esa)],[s3_type12_5]) ).
cnf(c37,plain,
( ~ 'q$u6'
| ~ 'p$u5'
| 'q$u4' ),
inference(clausification,[status(esa)],[s3_type12_9]) ).
cnf(c41,plain,
( ~ 'q$u8'
| ~ 'p$u7'
| 'q$u6' ),
inference(clausification,[status(esa)],[s3_type12_13]) ).
cnf(c45,plain,
( ~ 'q$u10'
| ~ 'p$u9'
| 'q$u8' ),
inference(clausification,[status(esa)],[s3_type12_17]) ).
cnf(c49,plain,
( ~ 'q$u12'
| ~ 'p$u11'
| 'q$u10' ),
inference(clausification,[status(esa)],[s3_type12_21]) ).
cnf(c53,plain,
( ~ 'q$u14'
| ~ 'p$u13'
| 'q$u12' ),
inference(clausification,[status(esa)],[s3_type12_25]) ).
cnf(c61,plain,
'p$u14',
inference(clausification,[status(esa)],[t3_1]) ).
cnf(c62,plain,
'p$u15',
inference(clausification,[status(esa)],[t3_2]) ).
cnf(c63,plain,
'q$u14',
inference(clausification,[status(esa)],[t3_3]) ).
cnf(d0,plain,
( ~ 'p$u15'
| 'p$u13' ),
inference(resolution,[status(thm)],[c61,c27]) ).
cnf(d1,plain,
'p$u13',
inference(resolution,[status(thm)],[c62,d0]) ).
cnf(d2,plain,
( ~ 'p$u12'
| 'p$u11' ),
inference(resolution,[status(thm)],[d1,c23]) ).
cnf(d3,plain,
( ~ 'p$u13'
| 'p$u12' ),
inference(resolution,[status(thm)],[c61,c25]) ).
cnf(d4,plain,
'p$u12',
inference(resolution,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
'p$u11',
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ 'p$u10'
| 'p$u9' ),
inference(resolution,[status(thm)],[d5,c19]) ).
cnf(d7,plain,
( ~ 'p$u11'
| 'p$u10' ),
inference(resolution,[status(thm)],[d4,c21]) ).
cnf(d8,plain,
'p$u10',
inference(resolution,[status(thm)],[d5,d7]) ).
cnf(d9,plain,
'p$u9',
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( ~ 'q$u10'
| 'q$u8' ),
inference(resolution,[status(thm)],[d9,c45]) ).
cnf(d11,plain,
( ~ 'p$u8'
| 'p$u7' ),
inference(resolution,[status(thm)],[d9,c15]) ).
cnf(d12,plain,
( ~ 'p$u9'
| 'p$u8' ),
inference(resolution,[status(thm)],[d8,c17]) ).
cnf(d13,plain,
'p$u8',
inference(resolution,[status(thm)],[d9,d12]) ).
cnf(d14,plain,
'p$u7',
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( ~ 'q$u8'
| 'q$u6' ),
inference(resolution,[status(thm)],[d14,c41]) ).
cnf(d16,plain,
( ~ 'p$u6'
| 'p$u5' ),
inference(resolution,[status(thm)],[d14,c11]) ).
cnf(d17,plain,
( ~ 'p$u7'
| 'p$u6' ),
inference(resolution,[status(thm)],[d13,c13]) ).
cnf(d18,plain,
'p$u6',
inference(resolution,[status(thm)],[d14,d17]) ).
cnf(d19,plain,
'p$u5',
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
( ~ 'q$u6'
| 'q$u4' ),
inference(resolution,[status(thm)],[d19,c37]) ).
cnf(d21,plain,
( ~ 'p$u4'
| 'p$u3' ),
inference(resolution,[status(thm)],[d19,c7]) ).
cnf(d22,plain,
( ~ 'p$u5'
| 'p$u4' ),
inference(resolution,[status(thm)],[d18,c9]) ).
cnf(d23,plain,
'p$u4',
inference(resolution,[status(thm)],[d19,d22]) ).
cnf(d24,plain,
'p$u3',
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
( ~ 'q$u4'
| 'q$u2' ),
inference(resolution,[status(thm)],[d24,c33]) ).
cnf(d26,plain,
( 'q$u1'
| ~ 'q$u2' ),
inference(resolution,[status(thm)],[d24,c32]) ).
cnf(d27,plain,
( ~ 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d23,c5]) ).
cnf(d28,plain,
'p$u2',
inference(resolution,[status(thm)],[d24,d27]) ).
cnf(d29,plain,
( ~ 'q$u1'
| 'q$u0' ),
inference(resolution,[status(thm)],[d28,c30]) ).
cnf(d30,plain,
( ~ 'p$u1'
| 'p$u0' ),
inference(resolution,[status(thm)],[d28,c1]) ).
cnf(d31,plain,
( ~ 'p$u2'
| 'p$u1' ),
inference(resolution,[status(thm)],[d24,c3]) ).
cnf(d32,plain,
'p$u1',
inference(resolution,[status(thm)],[d28,d31]) ).
cnf(d33,plain,
'p$u0',
inference(resolution,[status(thm)],[d32,d30]) ).
cnf(d34,plain,
~ 'q$u0',
inference(resolution,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
~ 'q$u1',
inference(resolution,[status(thm)],[d34,d29]) ).
cnf(d36,plain,
~ 'q$u2',
inference(resolution,[status(thm)],[d35,d26]) ).
cnf(d37,plain,
~ 'q$u4',
inference(resolution,[status(thm)],[d36,d25]) ).
cnf(d38,plain,
~ 'q$u6',
inference(resolution,[status(thm)],[d37,d20]) ).
cnf(d39,plain,
~ 'q$u8',
inference(resolution,[status(thm)],[d38,d15]) ).
cnf(d40,plain,
~ 'q$u10',
inference(resolution,[status(thm)],[d39,d10]) ).
cnf(d41,plain,
( ~ 'q$u12'
| 'q$u10' ),
inference(resolution,[status(thm)],[d5,c49]) ).
cnf(d42,plain,
( ~ 'p$u13'
| 'q$u12' ),
inference(resolution,[status(thm)],[c63,c53]) ).
cnf(d43,plain,
'q$u12',
inference(resolution,[status(thm)],[d1,d42]) ).
cnf(d44,plain,
'q$u10',
inference(resolution,[status(thm)],[d43,d41]) ).
cnf(d45,plain,
$false,
inference(resolution,[status(thm)],[d44,d40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN090-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n003.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 17:12:25 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.49/2.58 % SZS status Unsatisfiable for theBenchmark.p
% 11.49/2.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------