%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN621-1 : 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 : n001.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 20.93s 3.02s
% Output : CNFRefutation 20.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 7 unt; 6 nHn; 14 RR)
% Number of literals : 33 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 32 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p2_7,negated_conjecture,
~ p2(c23,f3(c24)) ).
cnf(p21_18,negated_conjecture,
( ~ p21(X2,X1)
| ~ p21(X0,X2)
| p21(X0,X1) ) ).
cnf(p2_28,negated_conjecture,
( p22(f20(X1,X0,X2,X3),f14(f11(X1,f12(X0,X2))))
| p2(X0,f3(c24)) ) ).
cnf(p21_31,negated_conjecture,
( ~ p22(X0,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X0))) ) ).
cnf(not_p21_32,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ).
cnf(p2_34,negated_conjecture,
( p21(f5(f6(X1,f20(X2,X0,X3,X1))),f15(f19(f11(X2,f12(X0,X3)),X1),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ) ).
cnf(c6,plain,
~ p2(c23,f3(c24)),
inference(clausification,[status(esa)],[not_p2_7]) ).
cnf(c17,plain,
( ~ p21(X2,X1)
| ~ p21(X0,X2)
| p21(X0,X1) ),
inference(clausification,[status(esa)],[p21_18]) ).
cnf(c27,plain,
( p22(f20(X1,X0,X2,X3),f14(f11(X1,f12(X0,X2))))
| p2(X0,f3(c24)) ),
inference(clausification,[status(esa)],[p2_28]) ).
cnf(c30,plain,
( ~ p22(X0,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X0))) ),
inference(clausification,[status(esa)],[p21_31]) ).
cnf(c31,plain,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(clausification,[status(esa)],[not_p21_32]) ).
cnf(c33,plain,
( p21(f5(f6(X1,f20(X2,X0,X3,X1))),f15(f19(f11(X2,f12(X0,X3)),X1),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ),
inference(clausification,[status(esa)],[p2_34]) ).
cnf(d0,plain,
( ~ p21(X1,f5(f6(X4,f20(X2,X0,X3,X4))))
| p21(X1,f15(f19(f11(X2,f12(X0,X3)),X4),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ),
inference(resolution,[status(thm)],[c33,c17]) ).
cnf(d1,plain,
( ~ p22(f20(X1,X0,X2,c27),f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(X1,f12(X0,X2)),c27),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ),
inference(resolution,[status(thm)],[d0,c30]) ).
cnf(d2,plain,
( ~ p22(f20(c25,c23,c26,c27),f14(f11(c25,f12(c23,c26))))
| p2(c23,f3(c24)) ),
inference(resolution,[status(thm)],[d1,c31]) ).
cnf(d3,plain,
~ p22(f20(c25,c23,c26,c27),f14(f11(c25,f12(c23,c26)))),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
p2(c23,f3(c24)),
inference(resolution,[status(thm)],[d3,c27]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN621-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 18:22:28 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.93/3.02 % SZS status Unsatisfiable for theBenchmark.p
% 20.93/3.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------