%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN088-1.010 : 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 : n026.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 09:21:16 AM UTC 2026
% Result : Unsatisfiable 9.35s 1.56s
% Output : CNFRefutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 24 unt; 0 nHn; 35 RR)
% Number of literals : 100 ( 0 equ; 77 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-10 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s4_goal_1,negated_conjecture,
~ p(a,a,a,a,a,a,a,a,a,a) ).
cnf(s4_1,axiom,
( ~ 'q$u10'(X9)
| ~ 'q$u9'(X8)
| ~ 'q$u8'(X7)
| ~ 'q$u7'(X6)
| ~ 'q$u6'(X5)
| ~ 'q$u5'(X4)
| ~ 'q$u4'(X3)
| ~ 'q$u3'(X2)
| ~ 'q$u2'(X1)
| ~ 'q$u1'(X0)
| p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(s4_2,axiom,
'q$u1'(a) ).
cnf(s4_4,axiom,
'q$u2'(a) ).
cnf(s4_6,axiom,
'q$u3'(a) ).
cnf(s4_8,axiom,
'q$u4'(a) ).
cnf(s4_10,axiom,
'q$u5'(a) ).
cnf(s4_12,axiom,
'q$u6'(a) ).
cnf(s4_14,axiom,
'q$u7'(a) ).
cnf(s4_16,axiom,
'q$u8'(a) ).
cnf(s4_18,axiom,
'q$u9'(a) ).
cnf(s4_20,axiom,
'q$u10'(a) ).
cnf(c0,plain,
~ p(a,a,a,a,a,a,a,a,a,a),
inference(clausification,[status(esa)],[s4_goal_1]) ).
cnf(c1,plain,
( ~ 'q$u7'(X9)
| ~ 'q$u5'(X8)
| p(X5,X3,X7,X2,X8,X4,X9,X6,X1,X0)
| ~ 'q$u3'(X7)
| ~ 'q$u8'(X6)
| ~ 'q$u1'(X5)
| ~ 'q$u6'(X4)
| ~ 'q$u2'(X3)
| ~ 'q$u4'(X2)
| ~ 'q$u9'(X1)
| ~ 'q$u10'(X0) ),
inference(clausification,[status(esa)],[s4_1]) ).
cnf(c2,plain,
'q$u1'(a),
inference(clausification,[status(esa)],[s4_2]) ).
cnf(c4,plain,
'q$u2'(a),
inference(clausification,[status(esa)],[s4_4]) ).
cnf(c6,plain,
'q$u3'(a),
inference(clausification,[status(esa)],[s4_6]) ).
cnf(c8,plain,
'q$u4'(a),
inference(clausification,[status(esa)],[s4_8]) ).
cnf(c10,plain,
'q$u5'(a),
inference(clausification,[status(esa)],[s4_10]) ).
cnf(c12,plain,
'q$u6'(a),
inference(clausification,[status(esa)],[s4_12]) ).
cnf(c14,plain,
'q$u7'(a),
inference(clausification,[status(esa)],[s4_14]) ).
cnf(c16,plain,
'q$u8'(a),
inference(clausification,[status(esa)],[s4_16]) ).
cnf(c18,plain,
'q$u9'(a),
inference(clausification,[status(esa)],[s4_18]) ).
cnf(c20,plain,
'q$u10'(a),
inference(clausification,[status(esa)],[s4_20]) ).
cnf(d0,plain,
( ~ 'q$u10'(a)
| ~ 'q$u1'(a)
| ~ 'q$u5'(a)
| ~ 'q$u9'(a)
| ~ 'q$u3'(a)
| ~ 'q$u6'(a)
| ~ 'q$u2'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a)
| ~ 'q$u4'(a) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'q$u10'(a)
| ~ 'q$u5'(a)
| ~ 'q$u9'(a)
| ~ 'q$u3'(a)
| ~ 'q$u6'(a)
| ~ 'q$u2'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a)
| ~ 'q$u4'(a) ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( ~ 'q$u10'(a)
| ~ 'q$u5'(a)
| ~ 'q$u9'(a)
| ~ 'q$u3'(a)
| ~ 'q$u6'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a)
| ~ 'q$u4'(a) ),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
( ~ 'q$u10'(a)
| ~ 'q$u5'(a)
| ~ 'q$u9'(a)
| ~ 'q$u6'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a)
| ~ 'q$u4'(a) ),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
( ~ 'q$u10'(a)
| ~ 'q$u5'(a)
| ~ 'q$u9'(a)
| ~ 'q$u6'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a) ),
inference(resolution,[status(thm)],[c8,d3]) ).
cnf(d5,plain,
( ~ 'q$u10'(a)
| ~ 'q$u9'(a)
| ~ 'q$u6'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a) ),
inference(resolution,[status(thm)],[c10,d4]) ).
cnf(d6,plain,
( ~ 'q$u10'(a)
| ~ 'q$u9'(a)
| ~ 'q$u7'(a)
| ~ 'q$u8'(a) ),
inference(resolution,[status(thm)],[c12,d5]) ).
cnf(d7,plain,
( ~ 'q$u10'(a)
| ~ 'q$u9'(a)
| ~ 'q$u8'(a) ),
inference(resolution,[status(thm)],[c14,d6]) ).
cnf(d8,plain,
( ~ 'q$u10'(a)
| ~ 'q$u9'(a) ),
inference(resolution,[status(thm)],[c16,d7]) ).
cnf(d9,plain,
~ 'q$u10'(a),
inference(resolution,[status(thm)],[c18,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c20,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:13:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/1.56 % SZS status Unsatisfiable for theBenchmark.p
% 9.35/1.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------