%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:21:17 AM UTC 2026
% Result : Unsatisfiable 12.36s 2.02s
% Output : CNFRefutation 12.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 40
% Syntax : Number of clauses : 134 ( 4 unt; 89 nHn; 134 RR)
% Number of literals : 346 ( 0 equ; 127 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 40 ( 39 usr; 40 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u_s3_goal_1,negated_conjecture,
( ~ 'q$u0'
| ~ 'p$u0'
| 'u$u1' ) ).
cnf(u_1_s3_goal_1,axiom,
~ 'u$u1' ).
cnf(u_s3_type11_1,axiom,
( ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0'
| 'u$u2' ) ).
cnf(u_2_s3_type11_1,axiom,
( ~ 'u$u2'
| 'p$u0' ) ).
cnf(u_s3_type11_3,axiom,
( ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1'
| 'u$u4' ) ).
cnf(u_4_s3_type11_3,axiom,
( ~ 'u$u4'
| 'p$u1' ) ).
cnf(u_s3_type11_5,axiom,
( ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| 'u$u6' ) ).
cnf(u_6_s3_type11_5,axiom,
( ~ 'u$u6'
| 'p$u2' ) ).
cnf(u_s3_type11_7,axiom,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| 'u$u8' ) ).
cnf(u_8_s3_type11_7,axiom,
( ~ 'u$u8'
| 'p$u3' ) ).
cnf(u_s3_type11_9,axiom,
( ~ 'p$u6'
| ~ 'p$u5'
| 'p$u4'
| 'u$u10' ) ).
cnf(u_10_s3_type11_9,axiom,
( ~ 'u$u10'
| 'p$u4' ) ).
cnf(u_s3_type11_11,axiom,
( ~ 'p$u7'
| ~ 'p$u6'
| 'p$u5'
| 'u$u12' ) ).
cnf(u_12_s3_type11_11,axiom,
( ~ 'u$u12'
| 'p$u5' ) ).
cnf(u_s3_type11_13,axiom,
( ~ 'p$u8'
| ~ 'p$u7'
| 'p$u6'
| 'u$u14' ) ).
cnf(u_14_s3_type11_13,axiom,
( ~ 'u$u14'
| 'p$u6' ) ).
cnf(u_s3_type11_15,axiom,
( ~ 'p$u9'
| ~ 'p$u8'
| 'p$u7'
| 'u$u16' ) ).
cnf(u_16_s3_type11_15,axiom,
( ~ 'u$u16'
| 'p$u7' ) ).
cnf(u_s3_type12_2,axiom,
( ~ 'p$u2'
| ~ 'q$u1'
| 'q$u0'
| 'u$u19' ) ).
cnf(u_19_s3_type12_2,axiom,
( ~ 'u$u19'
| 'q$u0' ) ).
cnf(u_s3_type12_4,axiom,
( ~ 'p$u3'
| ~ 'q$u2'
| 'q$u1'
| 'u$u21' ) ).
cnf(u_21_s3_type12_4,axiom,
( ~ 'u$u21'
| 'q$u1' ) ).
cnf(u_s3_type12_6,axiom,
( ~ 'p$u4'
| ~ 'q$u3'
| 'q$u2'
| 'u$u23' ) ).
cnf(u_23_s3_type12_6,axiom,
( ~ 'u$u23'
| 'q$u2' ) ).
cnf(u_s3_type12_8,axiom,
( ~ 'p$u5'
| ~ 'q$u4'
| 'q$u3'
| 'u$u25' ) ).
cnf(u_25_s3_type12_8,axiom,
( ~ 'u$u25'
| 'q$u3' ) ).
cnf(u_s3_type12_10,axiom,
( ~ 'p$u6'
| ~ 'q$u5'
| 'q$u4'
| 'u$u27' ) ).
cnf(u_27_s3_type12_10,axiom,
( ~ 'u$u27'
| 'q$u4' ) ).
cnf(u_s3_type12_12,axiom,
( ~ 'p$u7'
| ~ 'q$u6'
| 'q$u5'
| 'u$u29' ) ).
cnf(u_29_s3_type12_12,axiom,
( ~ 'u$u29'
| 'q$u5' ) ).
cnf(u_s3_type12_14,axiom,
( ~ 'p$u8'
| ~ 'q$u7'
| 'q$u6'
| 'u$u31' ) ).
cnf(u_31_s3_type12_14,axiom,
( ~ 'u$u31'
| 'q$u6' ) ).
cnf(u_s3_type12_15,axiom,
( ~ 'q$u9'
| ~ 'p$u8'
| 'q$u7'
| 'u$u32' ) ).
cnf(u_32_s3_type12_15,axiom,
( ~ 'u$u32'
| 'q$u7' ) ).
cnf(u_t3_1,axiom,
( 'p$u8'
| 'u$u38' ) ).
cnf(u_38_t3_1,axiom,
( ~ 'u$u38'
| 'p$u8' ) ).
cnf(u_t3_2,axiom,
( 'p$u9'
| 'u$u39' ) ).
cnf(u_39_t3_2,axiom,
( ~ 'u$u39'
| 'p$u9' ) ).
cnf(u_t3_4,axiom,
( 'q$u9'
| 'u$u41' ) ).
cnf(u_41_t3_4,axiom,
( ~ 'u$u41'
| 'q$u9' ) ).
cnf(c0,plain,
( ~ 'q$u0'
| ~ 'p$u0'
| 'u$u1' ),
inference(clausification,[status(esa)],[u_s3_goal_1]) ).
cnf(c1,plain,
~ 'u$u1',
inference(clausification,[status(esa)],[u_1_s3_goal_1]) ).
cnf(c2,plain,
( ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0'
| 'u$u2' ),
inference(clausification,[status(esa)],[u_s3_type11_1]) ).
cnf(c3,plain,
( ~ 'u$u2'
| 'p$u0' ),
inference(clausification,[status(esa)],[u_2_s3_type11_1]) ).
cnf(c6,plain,
( ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1'
| 'u$u4' ),
inference(clausification,[status(esa)],[u_s3_type11_3]) ).
cnf(c7,plain,
( ~ 'u$u4'
| 'p$u1' ),
inference(clausification,[status(esa)],[u_4_s3_type11_3]) ).
cnf(c10,plain,
( ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| 'u$u6' ),
inference(clausification,[status(esa)],[u_s3_type11_5]) ).
cnf(c11,plain,
( ~ 'u$u6'
| 'p$u2' ),
inference(clausification,[status(esa)],[u_6_s3_type11_5]) ).
cnf(c14,plain,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| 'u$u8' ),
inference(clausification,[status(esa)],[u_s3_type11_7]) ).
cnf(c15,plain,
( ~ 'u$u8'
| 'p$u3' ),
inference(clausification,[status(esa)],[u_8_s3_type11_7]) ).
cnf(c18,plain,
( ~ 'p$u6'
| ~ 'p$u5'
| 'p$u4'
| 'u$u10' ),
inference(clausification,[status(esa)],[u_s3_type11_9]) ).
cnf(c19,plain,
( ~ 'u$u10'
| 'p$u4' ),
inference(clausification,[status(esa)],[u_10_s3_type11_9]) ).
cnf(c22,plain,
( ~ 'p$u7'
| ~ 'p$u6'
| 'p$u5'
| 'u$u12' ),
inference(clausification,[status(esa)],[u_s3_type11_11]) ).
cnf(c23,plain,
( ~ 'u$u12'
| 'p$u5' ),
inference(clausification,[status(esa)],[u_12_s3_type11_11]) ).
cnf(c26,plain,
( ~ 'p$u8'
| ~ 'p$u7'
| 'p$u6'
| 'u$u14' ),
inference(clausification,[status(esa)],[u_s3_type11_13]) ).
cnf(c27,plain,
( ~ 'u$u14'
| 'p$u6' ),
inference(clausification,[status(esa)],[u_14_s3_type11_13]) ).
cnf(c30,plain,
( ~ 'p$u9'
| ~ 'p$u8'
| 'p$u7'
| 'u$u16' ),
inference(clausification,[status(esa)],[u_s3_type11_15]) ).
cnf(c31,plain,
( ~ 'u$u16'
| 'p$u7' ),
inference(clausification,[status(esa)],[u_16_s3_type11_15]) ).
cnf(c36,plain,
( ~ 'p$u2'
| ~ 'q$u1'
| 'q$u0'
| 'u$u19' ),
inference(clausification,[status(esa)],[u_s3_type12_2]) ).
cnf(c37,plain,
( ~ 'u$u19'
| 'q$u0' ),
inference(clausification,[status(esa)],[u_19_s3_type12_2]) ).
cnf(c40,plain,
( ~ 'p$u3'
| ~ 'q$u2'
| 'q$u1'
| 'u$u21' ),
inference(clausification,[status(esa)],[u_s3_type12_4]) ).
cnf(c41,plain,
( ~ 'u$u21'
| 'q$u1' ),
inference(clausification,[status(esa)],[u_21_s3_type12_4]) ).
cnf(c44,plain,
( ~ 'p$u4'
| ~ 'q$u3'
| 'q$u2'
| 'u$u23' ),
inference(clausification,[status(esa)],[u_s3_type12_6]) ).
cnf(c45,plain,
( ~ 'u$u23'
| 'q$u2' ),
inference(clausification,[status(esa)],[u_23_s3_type12_6]) ).
cnf(c48,plain,
( ~ 'p$u5'
| ~ 'q$u4'
| 'q$u3'
| 'u$u25' ),
inference(clausification,[status(esa)],[u_s3_type12_8]) ).
cnf(c49,plain,
( ~ 'u$u25'
| 'q$u3' ),
inference(clausification,[status(esa)],[u_25_s3_type12_8]) ).
cnf(c52,plain,
( ~ 'p$u6'
| ~ 'q$u5'
| 'q$u4'
| 'u$u27' ),
inference(clausification,[status(esa)],[u_s3_type12_10]) ).
cnf(c53,plain,
( ~ 'u$u27'
| 'q$u4' ),
inference(clausification,[status(esa)],[u_27_s3_type12_10]) ).
cnf(c56,plain,
( ~ 'p$u7'
| ~ 'q$u6'
| 'q$u5'
| 'u$u29' ),
inference(clausification,[status(esa)],[u_s3_type12_12]) ).
cnf(c57,plain,
( ~ 'u$u29'
| 'q$u5' ),
inference(clausification,[status(esa)],[u_29_s3_type12_12]) ).
cnf(c60,plain,
( ~ 'p$u8'
| ~ 'q$u7'
| 'q$u6'
| 'u$u31' ),
inference(clausification,[status(esa)],[u_s3_type12_14]) ).
cnf(c61,plain,
( ~ 'u$u31'
| 'q$u6' ),
inference(clausification,[status(esa)],[u_31_s3_type12_14]) ).
cnf(c62,plain,
( ~ 'q$u9'
| ~ 'p$u8'
| 'q$u7'
| 'u$u32' ),
inference(clausification,[status(esa)],[u_s3_type12_15]) ).
cnf(c63,plain,
( ~ 'u$u32'
| 'q$u7' ),
inference(clausification,[status(esa)],[u_32_s3_type12_15]) ).
cnf(c74,plain,
( 'p$u8'
| 'u$u38' ),
inference(clausification,[status(esa)],[u_t3_1]) ).
cnf(c75,plain,
( ~ 'u$u38'
| 'p$u8' ),
inference(clausification,[status(esa)],[u_38_t3_1]) ).
cnf(c76,plain,
( 'p$u9'
| 'u$u39' ),
inference(clausification,[status(esa)],[u_t3_2]) ).
cnf(c77,plain,
( ~ 'u$u39'
| 'p$u9' ),
inference(clausification,[status(esa)],[u_39_t3_2]) ).
cnf(c80,plain,
( 'q$u9'
| 'u$u41' ),
inference(clausification,[status(esa)],[u_t3_4]) ).
cnf(c81,plain,
( ~ 'u$u41'
| 'q$u9' ),
inference(clausification,[status(esa)],[u_41_t3_4]) ).
cnf(d0,plain,
( 'p$u8'
| 'p$u8' ),
inference(resolution,[status(thm)],[c75,c74]) ).
cnf(d1,plain,
( 'u$u14'
| ~ 'p$u7'
| 'p$u6' ),
inference(resolution,[status(thm)],[d0,c26]) ).
cnf(d2,plain,
( 'u$u16'
| ~ 'p$u9'
| 'p$u7' ),
inference(resolution,[status(thm)],[d0,c30]) ).
cnf(d3,plain,
( 'p$u9'
| 'p$u9' ),
inference(resolution,[status(thm)],[c77,c76]) ).
cnf(d4,plain,
( 'u$u16'
| 'p$u7' ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'p$u7'
| 'p$u7' ),
inference(resolution,[status(thm)],[d4,c31]) ).
cnf(d6,plain,
( 'u$u14'
| 'p$u6' ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( 'p$u6'
| 'p$u6' ),
inference(resolution,[status(thm)],[d6,c27]) ).
cnf(d8,plain,
( 'u$u10'
| ~ 'p$u5'
| 'p$u4' ),
inference(resolution,[status(thm)],[d7,c18]) ).
cnf(d9,plain,
( 'u$u12'
| ~ 'p$u6'
| 'p$u5' ),
inference(resolution,[status(thm)],[d5,c22]) ).
cnf(d10,plain,
( 'u$u12'
| 'p$u5' ),
inference(resolution,[status(thm)],[d7,d9]) ).
cnf(d11,plain,
( 'p$u5'
| 'p$u5' ),
inference(resolution,[status(thm)],[d10,c23]) ).
cnf(d12,plain,
( 'u$u10'
| 'p$u4' ),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
( 'p$u4'
| 'p$u4' ),
inference(resolution,[status(thm)],[d12,c19]) ).
cnf(d14,plain,
( 'u$u6'
| ~ 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d13,c10]) ).
cnf(d15,plain,
( 'u$u8'
| ~ 'p$u4'
| 'p$u3' ),
inference(resolution,[status(thm)],[d11,c14]) ).
cnf(d16,plain,
( 'u$u8'
| 'p$u3' ),
inference(resolution,[status(thm)],[d13,d15]) ).
cnf(d17,plain,
( 'p$u3'
| 'p$u3' ),
inference(resolution,[status(thm)],[d16,c15]) ).
cnf(d18,plain,
( 'u$u6'
| 'p$u2' ),
inference(resolution,[status(thm)],[d17,d14]) ).
cnf(d19,plain,
( 'p$u2'
| 'p$u2' ),
inference(resolution,[status(thm)],[d18,c11]) ).
cnf(d20,plain,
( 'u$u19'
| ~ 'q$u1'
| 'q$u0' ),
inference(resolution,[status(thm)],[d19,c36]) ).
cnf(d21,plain,
( 'u$u21'
| 'q$u1'
| ~ 'q$u2' ),
inference(resolution,[status(thm)],[d17,c40]) ).
cnf(d22,plain,
( 'u$u23'
| ~ 'q$u3'
| 'q$u2' ),
inference(resolution,[status(thm)],[d13,c44]) ).
cnf(d23,plain,
( 'u$u25'
| ~ 'q$u4'
| 'q$u3' ),
inference(resolution,[status(thm)],[d11,c48]) ).
cnf(d24,plain,
( 'u$u27'
| ~ 'q$u5'
| 'q$u4' ),
inference(resolution,[status(thm)],[d7,c52]) ).
cnf(d25,plain,
( 'u$u29'
| ~ 'q$u6'
| 'q$u5' ),
inference(resolution,[status(thm)],[d5,c56]) ).
cnf(d26,plain,
( 'u$u31'
| ~ 'q$u7'
| 'q$u6' ),
inference(resolution,[status(thm)],[d0,c60]) ).
cnf(d27,plain,
( 'u$u32'
| ~ 'q$u9'
| 'q$u7' ),
inference(resolution,[status(thm)],[d0,c62]) ).
cnf(d28,plain,
( 'q$u9'
| 'q$u9' ),
inference(resolution,[status(thm)],[c81,c80]) ).
cnf(d29,plain,
( 'u$u32'
| 'q$u7' ),
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
( 'q$u7'
| 'q$u7' ),
inference(resolution,[status(thm)],[d29,c63]) ).
cnf(d31,plain,
( 'u$u31'
| 'q$u6' ),
inference(resolution,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
( 'q$u6'
| 'q$u6' ),
inference(resolution,[status(thm)],[d31,c61]) ).
cnf(d33,plain,
( 'u$u29'
| 'q$u5' ),
inference(resolution,[status(thm)],[d32,d25]) ).
cnf(d34,plain,
( 'q$u5'
| 'q$u5' ),
inference(resolution,[status(thm)],[d33,c57]) ).
cnf(d35,plain,
( 'u$u27'
| 'q$u4' ),
inference(resolution,[status(thm)],[d34,d24]) ).
cnf(d36,plain,
( 'q$u4'
| 'q$u4' ),
inference(resolution,[status(thm)],[d35,c53]) ).
cnf(d37,plain,
( 'u$u25'
| 'q$u3' ),
inference(resolution,[status(thm)],[d36,d23]) ).
cnf(d38,plain,
( 'q$u3'
| 'q$u3' ),
inference(resolution,[status(thm)],[d37,c49]) ).
cnf(d39,plain,
( 'u$u23'
| 'q$u2' ),
inference(resolution,[status(thm)],[d38,d22]) ).
cnf(d40,plain,
( 'q$u2'
| 'q$u2' ),
inference(resolution,[status(thm)],[d39,c45]) ).
cnf(d41,plain,
( 'u$u21'
| 'q$u1' ),
inference(resolution,[status(thm)],[d40,d21]) ).
cnf(d42,plain,
( 'q$u1'
| 'q$u1' ),
inference(resolution,[status(thm)],[d41,c41]) ).
cnf(d43,plain,
( 'u$u19'
| 'q$u0' ),
inference(resolution,[status(thm)],[d42,d20]) ).
cnf(d44,plain,
( 'q$u0'
| 'q$u0' ),
inference(resolution,[status(thm)],[d43,c37]) ).
cnf(d45,plain,
( ~ 'q$u0'
| ~ 'p$u0' ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d46,plain,
( 'u$u2'
| ~ 'p$u1'
| 'p$u0' ),
inference(resolution,[status(thm)],[d19,c2]) ).
cnf(d47,plain,
( 'u$u4'
| ~ 'p$u2'
| 'p$u1' ),
inference(resolution,[status(thm)],[d17,c6]) ).
cnf(d48,plain,
( 'u$u4'
| 'p$u1' ),
inference(resolution,[status(thm)],[d19,d47]) ).
cnf(d49,plain,
( 'p$u1'
| 'p$u1' ),
inference(resolution,[status(thm)],[d48,c7]) ).
cnf(d50,plain,
( 'u$u2'
| 'p$u0' ),
inference(resolution,[status(thm)],[d49,d46]) ).
cnf(d51,plain,
( 'p$u0'
| 'p$u0' ),
inference(resolution,[status(thm)],[d50,c3]) ).
cnf(d52,plain,
~ 'q$u0',
inference(resolution,[status(thm)],[d51,d45]) ).
cnf(d53,plain,
$false,
inference(resolution,[status(thm)],[d52,d44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:11:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.36/2.02 % SZS status Unsatisfiable for theBenchmark.p
% 12.36/2.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------