%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN634-1 : 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 : n002.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 09:29:14 AM UTC 2026
% Result : Unsatisfiable 3.00s 3.86s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 9 unt; 7 nHn; 17 RR)
% Number of literals : 41 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 31 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p3_7,negated_conjecture,
~ p3(c23,f8(c24)) ).
cnf(p3_8,negated_conjecture,
p3(f4(f6(X0,f7(X1,X2))),X1) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(not_p10_25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ).
cnf(p21_26,negated_conjecture,
( ~ p22(X0,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X0))) ) ).
cnf(p3_36,negated_conjecture,
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p22(f18(X0,X1,X2),f16(X0))
| p3(f4(X0),f8(c24)) ) ).
cnf(p3_39,negated_conjecture,
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f18(X0,X1,X2))))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24)) ) ).
cnf(c6,plain,
~ p3(c23,f8(c24)),
inference(clausification,[status(esa)],[not_p3_7]) ).
cnf(c7,plain,
p3(f4(f6(X0,f7(X1,X2))),X1),
inference(clausification,[status(esa)],[p3_8]) ).
cnf(c16,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_17]) ).
cnf(c24,plain,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(clausification,[status(esa)],[not_p10_25]) ).
cnf(c25,plain,
( ~ p22(X0,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X0))) ),
inference(clausification,[status(esa)],[p21_26]) ).
cnf(c35,plain,
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p22(f18(X0,X1,X2),f16(X0))
| p3(f4(X0),f8(c24)) ),
inference(clausification,[status(esa)],[p3_36]) ).
cnf(c38,plain,
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f18(X0,X1,X2))))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24)) ),
inference(clausification,[status(esa)],[p3_39]) ).
cnf(d0,plain,
( ~ p3(f4(f6(X2,f7(X0,X3))),X1)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c16,c7]) ).
cnf(d1,plain,
( p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolution,[status(thm)],[c35,c24]) ).
cnf(d2,plain,
( ~ p22(f18(X0,c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(X0),f8(c24))
| p10(f11(X0,c27,c28),f11(X0,c27,c29)) ),
inference(resolution,[status(thm)],[c38,c25]) ).
cnf(d3,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(resolution,[status(thm)],[c24,d3]) ).
cnf(d5,plain,
p3(c23,f8(c24)),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN634-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n002.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sat Sep 26 18:20:05 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.00/3.86 % SZS status Unsatisfiable for theBenchmark.p
% 3.00/3.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------