%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN096-1.008 : 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 : n020.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 11.90s 3.02s
% Output : CNFRefutation 11.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of clauses : 114 ( 34 unt; 0 nHn; 114 RR)
% Number of literals : 246 ( 0 equ; 135 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(m_s3_goal_1,negated_conjecture,
( ~ 'q$u0'(X0)
| ~ 'p$u0'(X0) ) ).
cnf(m_s3_type11_1,axiom,
( ~ 'p$u2'(X0)
| ~ 'p$u1'(X0)
| 'p$u0'(X0) ) ).
cnf(m_s3_type11_3,axiom,
( ~ 'p$u3'(X0)
| ~ 'p$u2'(X0)
| 'p$u1'(X0) ) ).
cnf(m_s3_type11_5,axiom,
( ~ 'p$u4'(X0)
| ~ 'p$u3'(X0)
| 'p$u2'(X0) ) ).
cnf(m_s3_type11_7,axiom,
( ~ 'p$u5'(X0)
| ~ 'p$u4'(X0)
| 'p$u3'(X0) ) ).
cnf(m_s3_type11_9,axiom,
( ~ 'p$u6'(X0)
| ~ 'p$u5'(X0)
| 'p$u4'(X0) ) ).
cnf(m_s3_type11_11,axiom,
( ~ 'p$u7'(X0)
| ~ 'p$u6'(X0)
| 'p$u5'(X0) ) ).
cnf(m_s3_type11_13,axiom,
( ~ 'p$u8'(X0)
| ~ 'p$u7'(X0)
| 'p$u6'(X0) ) ).
cnf(m_s3_type11_15,axiom,
( ~ 'p$u9'(X0)
| ~ 'p$u8'(X0)
| 'p$u7'(X0) ) ).
cnf(m_s3_type11_17,axiom,
( ~ 'p$u10'(X0)
| ~ 'p$u9'(X0)
| 'p$u8'(X0) ) ).
cnf(m_s3_type11_19,axiom,
( ~ 'p$u11'(X0)
| ~ 'p$u10'(X0)
| 'p$u9'(X0) ) ).
cnf(m_s3_type11_21,axiom,
( ~ 'p$u12'(X0)
| ~ 'p$u11'(X0)
| 'p$u10'(X0) ) ).
cnf(m_s3_type11_23,axiom,
( ~ 'p$u13'(X0)
| ~ 'p$u12'(X0)
| 'p$u11'(X0) ) ).
cnf(m_s3_type11_25,axiom,
( ~ 'p$u14'(X0)
| ~ 'p$u13'(X0)
| 'p$u12'(X0) ) ).
cnf(m_s3_type11_27,axiom,
( ~ 'p$u15'(X0)
| ~ 'p$u14'(X0)
| 'p$u13'(X0) ) ).
cnf(m_s3_type12_1,axiom,
( ~ 'q$u2'(X0)
| ~ 'p$u1'(X0)
| 'q$u0'(X0) ) ).
cnf(m_s3_type12_6,axiom,
( ~ 'p$u4'(X0)
| ~ 'q$u3'(X0)
| 'q$u2'(X0) ) ).
cnf(m_s3_type12_8,axiom,
( ~ 'p$u5'(X0)
| ~ 'q$u4'(X0)
| 'q$u3'(X0) ) ).
cnf(m_s3_type12_10,axiom,
( ~ 'p$u6'(X0)
| ~ 'q$u5'(X0)
| 'q$u4'(X0) ) ).
cnf(m_s3_type12_12,axiom,
( ~ 'p$u7'(X0)
| ~ 'q$u6'(X0)
| 'q$u5'(X0) ) ).
cnf(m_s3_type12_14,axiom,
( ~ 'p$u8'(X0)
| ~ 'q$u7'(X0)
| 'q$u6'(X0) ) ).
cnf(m_s3_type12_16,axiom,
( ~ 'p$u9'(X0)
| ~ 'q$u8'(X0)
| 'q$u7'(X0) ) ).
cnf(m_s3_type12_18,axiom,
( ~ 'p$u10'(X0)
| ~ 'q$u9'(X0)
| 'q$u8'(X0) ) ).
cnf(m_s3_type12_20,axiom,
( ~ 'p$u11'(X0)
| ~ 'q$u10'(X0)
| 'q$u9'(X0) ) ).
cnf(m_s3_type12_22,axiom,
( ~ 'p$u12'(X0)
| ~ 'q$u11'(X0)
| 'q$u10'(X0) ) ).
cnf(m_s3_type12_24,axiom,
( ~ 'p$u13'(X0)
| ~ 'q$u12'(X0)
| 'q$u11'(X0) ) ).
cnf(m_s3_type12_25,axiom,
( ~ 'q$u14'(X0)
| ~ 'p$u13'(X0)
| 'q$u12'(X0) ) ).
cnf(m_t3_1,axiom,
'p$u14'(a) ).
cnf(m_t3_2,axiom,
'p$u15'(a) ).
cnf(m_t3_3,axiom,
'q$u14'(a) ).
cnf(c0,plain,
( ~ 'q$u0'(X0)
| ~ 'p$u0'(X0) ),
inference(clausification,[status(esa)],[m_s3_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u2'(X0)
| ~ 'p$u1'(X0)
| 'p$u0'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_1]) ).
cnf(c3,plain,
( ~ 'p$u3'(X0)
| ~ 'p$u2'(X0)
| 'p$u1'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_3]) ).
cnf(c5,plain,
( ~ 'p$u4'(X0)
| ~ 'p$u3'(X0)
| 'p$u2'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_5]) ).
cnf(c7,plain,
( ~ 'p$u5'(X0)
| ~ 'p$u4'(X0)
| 'p$u3'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_7]) ).
cnf(c9,plain,
( ~ 'p$u6'(X0)
| ~ 'p$u5'(X0)
| 'p$u4'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_9]) ).
cnf(c11,plain,
( ~ 'p$u7'(X0)
| ~ 'p$u6'(X0)
| 'p$u5'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_11]) ).
cnf(c13,plain,
( ~ 'p$u8'(X0)
| ~ 'p$u7'(X0)
| 'p$u6'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_13]) ).
cnf(c15,plain,
( ~ 'p$u9'(X0)
| ~ 'p$u8'(X0)
| 'p$u7'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_15]) ).
cnf(c17,plain,
( ~ 'p$u10'(X0)
| ~ 'p$u9'(X0)
| 'p$u8'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_17]) ).
cnf(c19,plain,
( ~ 'p$u11'(X0)
| ~ 'p$u10'(X0)
| 'p$u9'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_19]) ).
cnf(c21,plain,
( ~ 'p$u12'(X0)
| ~ 'p$u11'(X0)
| 'p$u10'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_21]) ).
cnf(c23,plain,
( ~ 'p$u13'(X0)
| ~ 'p$u12'(X0)
| 'p$u11'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_23]) ).
cnf(c25,plain,
( ~ 'p$u14'(X0)
| ~ 'p$u13'(X0)
| 'p$u12'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_25]) ).
cnf(c27,plain,
( ~ 'p$u15'(X0)
| ~ 'p$u14'(X0)
| 'p$u13'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_27]) ).
cnf(c29,plain,
( ~ 'q$u2'(X0)
| ~ 'p$u1'(X0)
| 'q$u0'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_1]) ).
cnf(c34,plain,
( ~ 'p$u4'(X0)
| ~ 'q$u3'(X0)
| 'q$u2'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_6]) ).
cnf(c36,plain,
( ~ 'p$u5'(X0)
| ~ 'q$u4'(X0)
| 'q$u3'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_8]) ).
cnf(c38,plain,
( ~ 'p$u6'(X0)
| ~ 'q$u5'(X0)
| 'q$u4'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_10]) ).
cnf(c40,plain,
( ~ 'p$u7'(X0)
| ~ 'q$u6'(X0)
| 'q$u5'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_12]) ).
cnf(c42,plain,
( ~ 'p$u8'(X0)
| ~ 'q$u7'(X0)
| 'q$u6'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_14]) ).
cnf(c44,plain,
( ~ 'p$u9'(X0)
| ~ 'q$u8'(X0)
| 'q$u7'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_16]) ).
cnf(c46,plain,
( ~ 'p$u10'(X0)
| ~ 'q$u9'(X0)
| 'q$u8'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_18]) ).
cnf(c48,plain,
( ~ 'p$u11'(X0)
| ~ 'q$u10'(X0)
| 'q$u9'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_20]) ).
cnf(c50,plain,
( ~ 'p$u12'(X0)
| ~ 'q$u11'(X0)
| 'q$u10'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_22]) ).
cnf(c52,plain,
( ~ 'p$u13'(X0)
| ~ 'q$u12'(X0)
| 'q$u11'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_24]) ).
cnf(c53,plain,
( ~ 'q$u14'(X0)
| ~ 'p$u13'(X0)
| 'q$u12'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_25]) ).
cnf(c61,plain,
'p$u14'(a),
inference(clausification,[status(esa)],[m_t3_1]) ).
cnf(c62,plain,
'p$u15'(a),
inference(clausification,[status(esa)],[m_t3_2]) ).
cnf(c63,plain,
'q$u14'(a),
inference(clausification,[status(esa)],[m_t3_3]) ).
cnf(d0,plain,
( ~ 'p$u13'(a)
| 'p$u12'(a) ),
inference(resolution,[status(thm)],[c25,c61]) ).
cnf(d1,plain,
( ~ 'p$u14'(a)
| 'p$u13'(a) ),
inference(resolution,[status(thm)],[c27,c62]) ).
cnf(d2,plain,
'p$u13'(a),
inference(resolution,[status(thm)],[c61,d1]) ).
cnf(d3,plain,
'p$u12'(a),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'p$u11'(a)
| 'p$u10'(a) ),
inference(resolution,[status(thm)],[d3,c21]) ).
cnf(d5,plain,
( ~ 'p$u12'(a)
| 'p$u11'(a) ),
inference(resolution,[status(thm)],[d2,c23]) ).
cnf(d6,plain,
'p$u11'(a),
inference(resolution,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
'p$u10'(a),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ 'p$u9'(a)
| 'p$u8'(a) ),
inference(resolution,[status(thm)],[d7,c17]) ).
cnf(d9,plain,
( ~ 'p$u10'(a)
| 'p$u9'(a) ),
inference(resolution,[status(thm)],[d6,c19]) ).
cnf(d10,plain,
'p$u9'(a),
inference(resolution,[status(thm)],[d7,d9]) ).
cnf(d11,plain,
'p$u8'(a),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ 'p$u7'(a)
| 'p$u6'(a) ),
inference(resolution,[status(thm)],[d11,c13]) ).
cnf(d13,plain,
( ~ 'p$u8'(a)
| 'p$u7'(a) ),
inference(resolution,[status(thm)],[d10,c15]) ).
cnf(d14,plain,
'p$u7'(a),
inference(resolution,[status(thm)],[d11,d13]) ).
cnf(d15,plain,
'p$u6'(a),
inference(resolution,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
( ~ 'p$u5'(a)
| 'p$u4'(a) ),
inference(resolution,[status(thm)],[d15,c9]) ).
cnf(d17,plain,
( ~ 'p$u6'(a)
| 'p$u5'(a) ),
inference(resolution,[status(thm)],[d14,c11]) ).
cnf(d18,plain,
'p$u5'(a),
inference(resolution,[status(thm)],[d15,d17]) ).
cnf(d19,plain,
'p$u4'(a),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
( ~ 'q$u3'(a)
| 'q$u2'(a) ),
inference(resolution,[status(thm)],[d19,c34]) ).
cnf(d21,plain,
( ~ 'q$u4'(a)
| 'q$u3'(a) ),
inference(resolution,[status(thm)],[d18,c36]) ).
cnf(d22,plain,
( ~ 'q$u5'(a)
| 'q$u4'(a) ),
inference(resolution,[status(thm)],[c38,d15]) ).
cnf(d23,plain,
( ~ 'q$u6'(a)
| 'q$u5'(a) ),
inference(resolution,[status(thm)],[c40,d14]) ).
cnf(d24,plain,
( ~ 'q$u7'(a)
| 'q$u6'(a) ),
inference(resolution,[status(thm)],[c42,d11]) ).
cnf(d25,plain,
( ~ 'q$u8'(a)
| 'q$u7'(a) ),
inference(resolution,[status(thm)],[c44,d10]) ).
cnf(d26,plain,
( ~ 'q$u9'(a)
| 'q$u8'(a) ),
inference(resolution,[status(thm)],[c46,d7]) ).
cnf(d27,plain,
( ~ 'q$u10'(a)
| 'q$u9'(a) ),
inference(resolution,[status(thm)],[c48,d6]) ).
cnf(d28,plain,
( ~ 'q$u11'(a)
| 'q$u10'(a) ),
inference(resolution,[status(thm)],[c50,d3]) ).
cnf(d29,plain,
( ~ 'q$u12'(a)
| 'q$u11'(a) ),
inference(resolution,[status(thm)],[c52,d2]) ).
cnf(d30,plain,
( ~ 'p$u13'(a)
| 'q$u12'(a) ),
inference(resolution,[status(thm)],[c53,c63]) ).
cnf(d31,plain,
'q$u12'(a),
inference(resolution,[status(thm)],[d2,d30]) ).
cnf(d32,plain,
'q$u11'(a),
inference(resolution,[status(thm)],[d31,d29]) ).
cnf(d33,plain,
'q$u10'(a),
inference(resolution,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
'q$u9'(a),
inference(resolution,[status(thm)],[d33,d27]) ).
cnf(d35,plain,
'q$u8'(a),
inference(resolution,[status(thm)],[d34,d26]) ).
cnf(d36,plain,
'q$u7'(a),
inference(resolution,[status(thm)],[d35,d25]) ).
cnf(d37,plain,
'q$u6'(a),
inference(resolution,[status(thm)],[d36,d24]) ).
cnf(d38,plain,
'q$u5'(a),
inference(resolution,[status(thm)],[d37,d23]) ).
cnf(d39,plain,
'q$u4'(a),
inference(resolution,[status(thm)],[d38,d22]) ).
cnf(d40,plain,
'q$u3'(a),
inference(resolution,[status(thm)],[d39,d21]) ).
cnf(d41,plain,
'q$u2'(a),
inference(resolution,[status(thm)],[d40,d20]) ).
cnf(d42,plain,
( ~ 'p$u1'(a)
| 'q$u0'(a) ),
inference(resolution,[status(thm)],[d41,c29]) ).
cnf(d43,plain,
( ~ 'p$u4'(a)
| 'p$u3'(a) ),
inference(resolution,[status(thm)],[d18,c7]) ).
cnf(d44,plain,
'p$u3'(a),
inference(resolution,[status(thm)],[d19,d43]) ).
cnf(d45,plain,
( 'p$u1'(a)
| ~ 'p$u2'(a) ),
inference(resolution,[status(thm)],[d44,c3]) ).
cnf(d46,plain,
( ~ 'p$u3'(a)
| 'p$u2'(a) ),
inference(resolution,[status(thm)],[d19,c5]) ).
cnf(d47,plain,
'p$u2'(a),
inference(resolution,[status(thm)],[d44,d46]) ).
cnf(d48,plain,
'p$u1'(a),
inference(resolution,[status(thm)],[d47,d45]) ).
cnf(d49,plain,
'q$u0'(a),
inference(resolution,[status(thm)],[d48,d42]) ).
cnf(d50,plain,
~ 'p$u0'(a),
inference(resolution,[status(thm)],[d49,c0]) ).
cnf(d51,plain,
( ~ 'p$u2'(a)
| 'p$u0'(a) ),
inference(resolution,[status(thm)],[d48,c1]) ).
cnf(d52,plain,
'p$u0'(a),
inference(resolution,[status(thm)],[d47,d51]) ).
cnf(d53,plain,
$false,
inference(resolution,[status(thm)],[d52,d50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:11:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.90/3.02 % SZS status Unsatisfiable for theBenchmark.p
% 11.90/3.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------