%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN100-1.005 : 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 : n012.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 09:21:18 AM UTC 2026
% Result : Unsatisfiable 17.08s 7.91s
% Output : CNFRefutation 17.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 66 ( 22 unt; 0 nHn; 66 RR)
% Number of literals : 138 ( 0 equ; 75 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 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_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$u5'(X0) ) ).
cnf(m_s3_type12_13,axiom,
( ~ 'q$u8'(X0)
| ~ 'p$u7'(X0)
| 'q$u6'(X0) ) ).
cnf(m_t3_1,axiom,
'p$u8'(a) ).
cnf(m_t3_2,axiom,
'p$u9'(a) ).
cnf(m_t3_3,axiom,
'q$u8'(a) ).
cnf(c0,plain,
( ~ 'q$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$u7'(X0) ),
inference(clausification,[status(esa)],[m_s3_type11_15]) ).
cnf(c17,plain,
( ~ 'q$u2'(X0)
| ~ 'p$u1'(X0)
| 'q$u0'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_1]) ).
cnf(c22,plain,
( ~ 'p$u4'(X0)
| ~ 'q$u3'(X0)
| 'q$u2'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_6]) ).
cnf(c24,plain,
( ~ 'p$u5'(X0)
| ~ 'q$u4'(X0)
| 'q$u3'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_8]) ).
cnf(c26,plain,
( ~ 'p$u6'(X0)
| ~ 'q$u5'(X0)
| 'q$u4'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_10]) ).
cnf(c28,plain,
( ~ 'p$u7'(X0)
| ~ 'q$u6'(X0)
| 'q$u5'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_12]) ).
cnf(c29,plain,
( ~ 'q$u8'(X0)
| ~ 'p$u7'(X0)
| 'q$u6'(X0) ),
inference(clausification,[status(esa)],[m_s3_type12_13]) ).
cnf(c37,plain,
'p$u8'(a),
inference(clausification,[status(esa)],[m_t3_1]) ).
cnf(c38,plain,
'p$u9'(a),
inference(clausification,[status(esa)],[m_t3_2]) ).
cnf(c39,plain,
'q$u8'(a),
inference(clausification,[status(esa)],[m_t3_3]) ).
cnf(d0,plain,
( ~ 'p$u7'(a)
| 'p$u6'(a) ),
inference(resolution,[status(thm)],[c13,c37]) ).
cnf(d1,plain,
( ~ 'p$u8'(a)
| 'p$u7'(a) ),
inference(resolution,[status(thm)],[c15,c38]) ).
cnf(d2,plain,
'p$u7'(a),
inference(resolution,[status(thm)],[c37,d1]) ).
cnf(d3,plain,
'p$u6'(a),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'p$u5'(a)
| 'p$u4'(a) ),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
( ~ 'p$u6'(a)
| 'p$u5'(a) ),
inference(resolution,[status(thm)],[d2,c11]) ).
cnf(d6,plain,
'p$u5'(a),
inference(resolution,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
'p$u4'(a),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ 'q$u3'(a)
| 'q$u2'(a) ),
inference(resolution,[status(thm)],[d7,c22]) ).
cnf(d9,plain,
( ~ 'q$u4'(a)
| 'q$u3'(a) ),
inference(resolution,[status(thm)],[c24,d6]) ).
cnf(d10,plain,
( ~ 'q$u5'(a)
| 'q$u4'(a) ),
inference(resolution,[status(thm)],[c26,d3]) ).
cnf(d11,plain,
( ~ 'q$u6'(a)
| 'q$u5'(a) ),
inference(resolution,[status(thm)],[c28,d2]) ).
cnf(d12,plain,
( ~ 'p$u7'(a)
| 'q$u6'(a) ),
inference(resolution,[status(thm)],[c29,c39]) ).
cnf(d13,plain,
'q$u6'(a),
inference(resolution,[status(thm)],[d2,d12]) ).
cnf(d14,plain,
'q$u5'(a),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
'q$u4'(a),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
'q$u3'(a),
inference(resolution,[status(thm)],[d15,d9]) ).
cnf(d17,plain,
'q$u2'(a),
inference(resolution,[status(thm)],[d16,d8]) ).
cnf(d18,plain,
( ~ 'p$u1'(a)
| 'q$u0'(a) ),
inference(resolution,[status(thm)],[d17,c17]) ).
cnf(d19,plain,
( ~ 'p$u4'(a)
| 'p$u3'(a) ),
inference(resolution,[status(thm)],[d6,c7]) ).
cnf(d20,plain,
'p$u3'(a),
inference(resolution,[status(thm)],[d7,d19]) ).
cnf(d21,plain,
( 'p$u1'(a)
| ~ 'p$u2'(a) ),
inference(resolution,[status(thm)],[d20,c3]) ).
cnf(d22,plain,
( ~ 'p$u3'(a)
| 'p$u2'(a) ),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d23,plain,
'p$u2'(a),
inference(resolution,[status(thm)],[d20,d22]) ).
cnf(d24,plain,
'p$u1'(a),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
'q$u0'(a),
inference(resolution,[status(thm)],[d24,d18]) ).
cnf(d26,plain,
~ 'p$u0'(a),
inference(resolution,[status(thm)],[d25,c0]) ).
cnf(d27,plain,
( ~ 'p$u2'(a)
| 'p$u0'(a) ),
inference(resolution,[status(thm)],[d24,c1]) ).
cnf(d28,plain,
'p$u0'(a),
inference(resolution,[status(thm)],[d23,d27]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[d28,d26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n012.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 17:11:25 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.08/7.91 % SZS status Unsatisfiable for theBenchmark.p
% 17.08/7.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------