%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN714-1 : 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 : n015.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 09:29:25 AM UTC 2026
% Result : Unsatisfiable 17.77s 7.88s
% Output : CNFRefutation 17.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 13 unt; 3 nHn; 22 RR)
% Number of literals : 47 ( 0 equ; 28 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p51_22,negated_conjecture,
p51(c66,c67) ).
cnf(p53_23,negated_conjecture,
p53(c68,f17(c66)) ).
cnf(not_p16_24,negated_conjecture,
~ p16(f17(c66),c65) ).
cnf(p52_28,negated_conjecture,
p52(f20(f21(c62,c64)),c66) ).
cnf(not_p50_33,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60) ).
cnf(p50_64,negated_conjecture,
( ~ p53(X0,f17(c66))
| p50(c66,f25(f27(c59,X0),c67),c62) ) ).
cnf(p51_87,negated_conjecture,
( ~ p53(X2,f17(X0))
| ~ p51(X0,X3)
| p51(X0,f25(f27(X1,X2),X3)) ) ).
cnf(p16_98,negated_conjecture,
( ~ p52(f20(f21(c62,c64)),X0)
| ~ p50(X0,X1,c62)
| ~ p51(X0,X1)
| p50(X0,X1,c60)
| p16(f17(X0),c65) ) ).
cnf(c21,plain,
p51(c66,c67),
inference(clausification,[status(esa)],[p51_22]) ).
cnf(c22,plain,
p53(c68,f17(c66)),
inference(clausification,[status(esa)],[p53_23]) ).
cnf(c23,plain,
~ p16(f17(c66),c65),
inference(clausification,[status(esa)],[not_p16_24]) ).
cnf(c27,plain,
p52(f20(f21(c62,c64)),c66),
inference(clausification,[status(esa)],[p52_28]) ).
cnf(c32,plain,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(clausification,[status(esa)],[not_p50_33]) ).
cnf(c63,plain,
( ~ p53(X0,f17(c66))
| p50(c66,f25(f27(c59,X0),c67),c62) ),
inference(clausification,[status(esa)],[p50_64]) ).
cnf(c86,plain,
( ~ p53(X2,f17(X0))
| ~ p51(X0,X3)
| p51(X0,f25(f27(X1,X2),X3)) ),
inference(clausification,[status(esa)],[p51_87]) ).
cnf(c97,plain,
( ~ p52(f20(f21(c62,c64)),X0)
| p16(f17(X0),c65)
| p50(X0,X1,c60)
| ~ p51(X0,X1)
| ~ p50(X0,X1,c62) ),
inference(clausification,[status(esa)],[p16_98]) ).
cnf(d0,plain,
( p50(c66,X0,c60)
| ~ p50(c66,X0,c62)
| ~ p51(c66,X0)
| p16(f17(c66),c65) ),
inference(resolution,[status(thm)],[c97,c27]) ).
cnf(d1,plain,
( p50(c66,X0,c60)
| ~ p50(c66,X0,c62)
| ~ p51(c66,X0) ),
inference(resolution,[status(thm)],[c23,d0]) ).
cnf(d2,plain,
( ~ p53(X0,f17(c66))
| p50(c66,f25(f27(c59,X0),c67),c60)
| ~ p51(c66,f25(f27(c59,X0),c67)) ),
inference(resolution,[status(thm)],[d1,c63]) ).
cnf(d3,plain,
( ~ p53(c68,f17(c66))
| ~ p51(c66,f25(f27(c59,c68),c67)) ),
inference(resolution,[status(thm)],[d2,c32]) ).
cnf(d4,plain,
~ p51(c66,f25(f27(c59,c68),c67)),
inference(resolution,[status(thm)],[c22,d3]) ).
cnf(d5,plain,
( ~ p53(c68,f17(c66))
| ~ p51(c66,c67) ),
inference(resolution,[status(thm)],[d4,c86]) ).
cnf(d6,plain,
~ p53(c68,f17(c66)),
inference(resolution,[status(thm)],[c21,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c22,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n015.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sat Sep 26 18:25:04 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.77/7.88 % SZS status Unsatisfiable for theBenchmark.p
% 17.77/7.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------