%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 09:29:12 AM UTC 2026
% Result : Unsatisfiable 7.98s 10.12s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 38 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_5,negated_conjecture,
p11(X0,X0) ).
cnf(p11_18,negated_conjecture,
( ~ p10(X0,X1)
| p11(f12(X0),f12(X1)) ) ).
cnf(p11_23,negated_conjecture,
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ) ).
cnf(p10_24,negated_conjecture,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))) ).
cnf(p20_28,negated_conjecture,
( ~ p11(X3,X0)
| ~ p20(X3,X2)
| ~ p11(X2,X1)
| p20(X0,X1) ) ).
cnf(p20_32,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))) ).
cnf(not_p20_33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))) ).
cnf(c4,plain,
p11(X0,X0),
inference(clausification,[status(esa)],[p11_5]) ).
cnf(c17,plain,
( ~ p10(X0,X1)
| p11(f12(X0),f12(X1)) ),
inference(clausification,[status(esa)],[p11_18]) ).
cnf(c22,plain,
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_23]) ).
cnf(c23,plain,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(clausification,[status(esa)],[p10_24]) ).
cnf(c27,plain,
( ~ p11(X3,X0)
| ~ p20(X3,X2)
| ~ p11(X2,X1)
| p20(X0,X1) ),
inference(clausification,[status(esa)],[p20_28]) ).
cnf(c31,plain,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
inference(clausification,[status(esa)],[p20_32]) ).
cnf(c32,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(clausification,[status(esa)],[not_p20_33]) ).
cnf(d0,plain,
( ~ p11(X1,X0)
| p11(X0,X1) ),
inference(resolution,[status(thm)],[c22,c4]) ).
cnf(d1,plain,
( ~ p10(X1,X0)
| p11(f12(X0),f12(X1)) ),
inference(resolution,[status(thm)],[d0,c17]) ).
cnf(d2,plain,
( p20(X2,X1)
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),X2)
| ~ p11(f12(f13(f6(c24),X0)),X1) ),
inference(resolution,[status(thm)],[c31,c27]) ).
cnf(d3,plain,
( p20(f12(f13(f6(c22),f14(f15(f7(c25))))),X1)
| ~ p11(f12(f13(f6(c24),X0)),X1) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))),
inference(resolution,[status(thm)],[d3,c32]) ).
cnf(d5,plain,
~ p10(f13(f6(c22),c27),f13(f6(c24),X0)),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 18:16:31 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.98/10.12 % SZS status Unsatisfiable for theBenchmark.p
% 7.98/10.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------