%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:20:38 AM UTC 2026
% Result : Unsatisfiable 9.77s 2.68s
% Output : CNFRefutation 9.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 22 unt; 0 nHn; 32 RR)
% Number of literals : 86 ( 0 equ; 65 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(disjunction,negated_conjecture,
( ~ 'p$u10'(X9,X0)
| ~ 'p$u9'(X8,X9)
| ~ 'p$u8'(X7,X8)
| ~ 'p$u7'(X6,X7)
| ~ 'p$u6'(X5,X6)
| ~ 'p$u5'(X4,X5)
| ~ 'p$u4'(X3,X4)
| ~ 'p$u3'(X2,X3)
| ~ 'p$u2'(X1,X2)
| ~ 'p$u1'(X0,X1) ) ).
cnf(p_1,negated_conjecture,
'p$u1'(a,a) ).
cnf(p_2,negated_conjecture,
'p$u2'(a,a) ).
cnf(p_3,negated_conjecture,
'p$u3'(a,a) ).
cnf(p_4,negated_conjecture,
'p$u4'(a,a) ).
cnf(p_5,negated_conjecture,
'p$u5'(a,a) ).
cnf(p_6,negated_conjecture,
'p$u6'(a,a) ).
cnf(p_7,negated_conjecture,
'p$u7'(a,a) ).
cnf(p_8,negated_conjecture,
'p$u8'(a,a) ).
cnf(p_9,negated_conjecture,
'p$u9'(a,a) ).
cnf(p_10,negated_conjecture,
'p$u10'(a,a) ).
cnf(c0,plain,
( ~ 'p$u8'(X5,X6)
| ~ 'p$u10'(X7,X8)
| ~ 'p$u2'(X9,X0)
| ~ 'p$u4'(X1,X2)
| ~ 'p$u6'(X3,X4)
| ~ 'p$u1'(X8,X9)
| ~ 'p$u9'(X6,X7)
| ~ 'p$u7'(X4,X5)
| ~ 'p$u5'(X2,X3)
| ~ 'p$u3'(X0,X1) ),
inference(clausification,[status(esa)],[disjunction]) ).
cnf(c1,plain,
'p$u1'(a,a),
inference(clausification,[status(esa)],[p_1]) ).
cnf(c2,plain,
'p$u2'(a,a),
inference(clausification,[status(esa)],[p_2]) ).
cnf(c3,plain,
'p$u3'(a,a),
inference(clausification,[status(esa)],[p_3]) ).
cnf(c4,plain,
'p$u4'(a,a),
inference(clausification,[status(esa)],[p_4]) ).
cnf(c5,plain,
'p$u5'(a,a),
inference(clausification,[status(esa)],[p_5]) ).
cnf(c6,plain,
'p$u6'(a,a),
inference(clausification,[status(esa)],[p_6]) ).
cnf(c7,plain,
'p$u7'(a,a),
inference(clausification,[status(esa)],[p_7]) ).
cnf(c8,plain,
'p$u8'(a,a),
inference(clausification,[status(esa)],[p_8]) ).
cnf(c9,plain,
'p$u9'(a,a),
inference(clausification,[status(esa)],[p_9]) ).
cnf(c10,plain,
'p$u10'(a,a),
inference(clausification,[status(esa)],[p_10]) ).
cnf(d0,plain,
( ~ 'p$u7'(a,X6)
| ~ 'p$u3'(X7,X3)
| ~ 'p$u2'(X5,X7)
| ~ 'p$u8'(X6,X0)
| ~ 'p$u1'(X4,X5)
| ~ 'p$u10'(X1,X4)
| ~ 'p$u4'(X3,X2)
| ~ 'p$u5'(X2,a)
| ~ 'p$u9'(X0,X1) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d1,plain,
( ~ 'p$u3'(X6,X3)
| ~ 'p$u2'(X5,X6)
| ~ 'p$u8'(a,X0)
| ~ 'p$u1'(X4,X5)
| ~ 'p$u10'(X1,X4)
| ~ 'p$u4'(X3,X2)
| ~ 'p$u5'(X2,a)
| ~ 'p$u9'(X0,X1) ),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( ~ 'p$u2'(X4,a)
| ~ 'p$u8'(a,X0)
| ~ 'p$u1'(X3,X4)
| ~ 'p$u10'(X1,X3)
| ~ 'p$u4'(a,X2)
| ~ 'p$u5'(X2,a)
| ~ 'p$u9'(X0,X1) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ 'p$u8'(a,X0)
| ~ 'p$u1'(X3,a)
| ~ 'p$u10'(X1,X3)
| ~ 'p$u4'(a,X2)
| ~ 'p$u5'(X2,a)
| ~ 'p$u9'(X0,X1) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
( ~ 'p$u1'(X2,a)
| ~ 'p$u10'(X0,X2)
| ~ 'p$u4'(a,X1)
| ~ 'p$u5'(X1,a)
| ~ 'p$u9'(a,X0) ),
inference(resolution,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
( ~ 'p$u10'(X0,a)
| ~ 'p$u4'(a,X1)
| ~ 'p$u5'(X1,a)
| ~ 'p$u9'(a,X0) ),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
( ~ 'p$u4'(a,X0)
| ~ 'p$u5'(X0,a)
| ~ 'p$u9'(a,a) ),
inference(resolution,[status(thm)],[d5,c10]) ).
cnf(d7,plain,
( ~ 'p$u4'(a,X0)
| ~ 'p$u5'(X0,a) ),
inference(resolution,[status(thm)],[c9,d6]) ).
cnf(d8,plain,
~ 'p$u5'(a,a),
inference(resolution,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c5,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n016.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 17:08:46 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.77/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 9.77/2.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------