%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN101-1.002.002 : 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 : n010.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 13.78s 7.30s
% Output : CNFRefutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 37 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(n_s2_goal_1,negated_conjecture,
~ 'p$u1$u2'(a,a) ).
cnf(n_s2_type11_1,axiom,
( ~ 'p$u1$u1'(X0,X1)
| ~ 'p$u2$u2'(X0,X1)
| 'p$u1$u2'(X0,X1) ) ).
cnf(n_t2_1,axiom,
( ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'p$u1$u1'(X0,X1) ) ).
cnf(n_t2_3,axiom,
( ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'p$u2$u2'(X0,X1) ) ).
cnf(n_1,axiom,
'nq$u1'(a) ).
cnf(n_3,axiom,
'nq$u2'(a) ).
cnf(c0,plain,
~ 'p$u1$u2'(a,a),
inference(clausification,[status(esa)],[n_s2_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u1$u1'(X0,X1)
| ~ 'p$u2$u2'(X0,X1)
| 'p$u1$u2'(X0,X1) ),
inference(clausification,[status(esa)],[n_s2_type11_1]) ).
cnf(c9,plain,
( ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'p$u1$u1'(X0,X1) ),
inference(clausification,[status(esa)],[n_t2_1]) ).
cnf(c11,plain,
( ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'p$u2$u2'(X0,X1) ),
inference(clausification,[status(esa)],[n_t2_3]) ).
cnf(c13,plain,
'nq$u1'(a),
inference(clausification,[status(esa)],[n_1]) ).
cnf(c15,plain,
'nq$u2'(a),
inference(clausification,[status(esa)],[n_3]) ).
cnf(d0,plain,
( ~ 'p$u2$u2'(X1,X0)
| 'p$u1$u2'(X1,X0)
| ~ 'nq$u1'(X1)
| ~ 'nq$u2'(X0) ),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(d1,plain,
( ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| 'p$u1$u2'(X0,X1) ),
inference(resolution,[status(thm)],[d0,c11]) ).
cnf(d2,plain,
( ~ 'nq$u1'(a)
| ~ 'nq$u2'(a) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
~ 'nq$u2'(a),
inference(resolution,[status(thm)],[c13,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c15,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.45 % Computer : n010.cluster.edu
% 0.16/5.45 % Model : x86_64 x86_64
% 0.16/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.45 % Memory : 8046.5625MB
% 0.16/5.45 % OS : Linux 6.8.0-71-generic
% 0.16/5.45 % CPULimit : 300
% 0.16/5.45 % WCLimit : 300
% 0.16/5.45 % DateTime : Sat Sep 26 17:12:06 UTC 2026
% 0.16/5.46 % CPUTime :
% 0.16/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.78/7.30 % SZS status Unsatisfiable for theBenchmark.p
% 13.78/7.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------