%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN604-1 : 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 : n003.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 09:29:11 AM UTC 2026
% Result : Unsatisfiable 20.21s 3.03s
% Output : CNFRefutation 20.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 17 unt; 2 nHn; 23 RR)
% Number of literals : 66 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_4,negated_conjecture,
p3(X0,X0) ).
cnf(p3_7,negated_conjecture,
p3(f4(f8(X0)),f12(X0)) ).
cnf(p3_8,negated_conjecture,
p3(f12(f10(X0)),f10(X0)) ).
cnf(p16_9,negated_conjecture,
p16(f10(f11(c21)),f12(X0)) ).
cnf(p16_10,negated_conjecture,
( p16(X1,f12(X0))
| p16(X0,X1) ) ).
cnf(p3_21,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p16_23,negated_conjecture,
( ~ p16(X2,X1)
| ~ p16(X0,X2)
| p16(X0,X1) ) ).
cnf(p16_25,negated_conjecture,
( ~ p16(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ) ).
cnf(not_p16_28,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f13(X0)))) ).
cnf(p16_29,negated_conjecture,
( ~ p16(f4(X0),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ) ).
cnf(p16_30,negated_conjecture,
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0))) ) ).
cnf(c3,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_4]) ).
cnf(c6,plain,
p3(f4(f8(X0)),f12(X0)),
inference(clausification,[status(esa)],[p3_7]) ).
cnf(c7,plain,
p3(f12(f10(X0)),f10(X0)),
inference(clausification,[status(esa)],[p3_8]) ).
cnf(c8,plain,
p16(f10(f11(c21)),f12(X0)),
inference(clausification,[status(esa)],[p16_9]) ).
cnf(c9,plain,
( p16(X1,f12(X0))
| p16(X0,X1) ),
inference(clausification,[status(esa)],[p16_10]) ).
cnf(c20,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_21]) ).
cnf(c22,plain,
( ~ p16(X2,X1)
| ~ p16(X0,X2)
| p16(X0,X1) ),
inference(clausification,[status(esa)],[p16_23]) ).
cnf(c24,plain,
( ~ p16(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ),
inference(clausification,[status(esa)],[p16_25]) ).
cnf(c27,plain,
~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f13(X0)))),
inference(clausification,[status(esa)],[not_p16_28]) ).
cnf(c28,plain,
( ~ p16(f4(X0),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ),
inference(clausification,[status(esa)],[p16_29]) ).
cnf(c29,plain,
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0))) ),
inference(clausification,[status(esa)],[p16_30]) ).
cnf(d0,plain,
( ~ p16(X1,f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| p16(X1,f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ),
inference(resolution,[status(thm)],[c29,c22]) ).
cnf(d1,plain,
( ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
| ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ),
inference(resolution,[status(thm)],[d0,c28]) ).
cnf(d2,plain,
( ~ p3(f4(f8(X0)),X1)
| p3(f12(X0),X1) ),
inference(resolution,[status(thm)],[c20,c6]) ).
cnf(d3,plain,
p3(f12(X0),f4(f8(X0))),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ p3(f12(f10(X0)),X1)
| p3(f10(X0),X1) ),
inference(resolution,[status(thm)],[c20,c7]) ).
cnf(d5,plain,
p3(f10(X0),f4(f8(f10(X0)))),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( p16(X2,X1)
| ~ p3(f10(f11(c21)),X2)
| ~ p3(f12(X0),X1) ),
inference(resolution,[status(thm)],[c24,c8]) ).
cnf(d7,plain,
( p16(f4(f8(f10(f11(c21)))),X1)
| ~ p3(f12(X0),X1) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
p16(f4(f8(f10(f11(c21)))),f12(X0)),
inference(resolution,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ),
inference(resolution,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
~ p16(c19,f4(f13(c23))),
inference(resolution,[status(thm)],[d9,c27]) ).
cnf(d11,plain,
~ p16(f4(f13(c23)),f12(c19)),
inference(resolution,[status(thm)],[c28,c27]) ).
cnf(d12,plain,
p16(c19,f4(f13(c23))),
inference(resolution,[status(thm)],[d11,c9]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n003.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 18:17:24 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.21/3.03 % SZS status Unsatisfiable for theBenchmark.p
% 20.21/3.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------