%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 09:29:06 AM UTC 2026
% Result : Unsatisfiable 14.30s 3.39s
% Output : CNFRefutation 14.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 16 unt; 0 nHn; 35 RR)
% Number of literals : 75 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p8_3,negated_conjecture,
p8(c14,c12) ).
cnf(p8_5,negated_conjecture,
p8(c11,c14) ).
cnf(p9_6,negated_conjecture,
p9(c13,c15,c14) ).
cnf(p10_7,negated_conjecture,
( ~ p8(X0,X1)
| p10(X0,X1) ) ).
cnf(p2_10,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_11,negated_conjecture,
( ~ p9(X2,X1,X3)
| ~ p9(X2,X0,X3)
| p2(X0,X1) ) ).
cnf(p9_12,negated_conjecture,
( ~ p10(c11,X0)
| ~ p10(X0,c12)
| p9(c13,f3(X0),X0) ) ).
cnf(p2_15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)) ).
cnf(p2_16,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ) ).
cnf(not_p8_20,negated_conjecture,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c2,plain,
p8(c14,c12),
inference(clausification,[status(esa)],[p8_3]) ).
cnf(c4,plain,
p8(c11,c14),
inference(clausification,[status(esa)],[p8_5]) ).
cnf(c5,plain,
p9(c13,c15,c14),
inference(clausification,[status(esa)],[p9_6]) ).
cnf(c6,plain,
( ~ p8(X0,X1)
| p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_7]) ).
cnf(c9,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_10]) ).
cnf(c10,plain,
( ~ p9(X2,X1,X3)
| ~ p9(X2,X0,X3)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_11]) ).
cnf(c11,plain,
( ~ p10(c11,X0)
| ~ p10(X0,c12)
| p9(c13,f3(X0),X0) ),
inference(clausification,[status(esa)],[p9_12]) ).
cnf(c14,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
inference(clausification,[status(esa)],[p2_15]) ).
cnf(c15,plain,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
inference(clausification,[status(esa)],[p2_16]) ).
cnf(c19,plain,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
inference(clausification,[status(esa)],[not_p8_20]) ).
cnf(d0,plain,
( ~ p9(c13,X0,c14)
| p2(c15,X0) ),
inference(resolution,[status(thm)],[c10,c5]) ).
cnf(d1,plain,
( ~ p10(c11,c14)
| ~ p10(c14,c12)
| p2(c15,f3(c14)) ),
inference(resolution,[status(thm)],[d0,c11]) ).
cnf(d2,plain,
p10(c11,c14),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(d3,plain,
( ~ p10(c14,c12)
| p2(c15,f3(c14)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
p10(c14,c12),
inference(resolution,[status(thm)],[c6,c2]) ).
cnf(d5,plain,
p2(c15,f3(c14)),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(d7,plain,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(resolution,[status(thm)],[c14,d6]) ).
cnf(d8,plain,
( ~ p2(f4(X0,X2),X4)
| p2(X4,f4(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c15,c9]) ).
cnf(d9,plain,
( ~ p2(f5(c12,c11),X0)
| ~ p2(c15,X1)
| p2(f5(f7(c13,c12),f7(c13,c11)),f4(X0,X1)) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ p8(c11,X0)
| ~ p8(X0,c12)
| ~ p2(f5(c12,c11),f5(c12,c11))
| ~ p2(c15,f3(X0)) ),
inference(resolution,[status(thm)],[d9,c19]) ).
cnf(d11,plain,
( ~ p8(c11,X0)
| ~ p8(X0,c12)
| ~ p2(c15,f3(X0)) ),
inference(resolution,[status(thm)],[c0,d10]) ).
cnf(d12,plain,
( ~ p8(c11,c14)
| ~ p8(c14,c12) ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
~ p8(c11,c14),
inference(resolution,[status(thm)],[c2,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c4,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sat Sep 26 18:14:14 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.30/3.39 % SZS status Unsatisfiable for theBenchmark.p
% 14.30/3.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------