%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN687-1 : 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 : 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 09:29:21 AM UTC 2026
% Result : Unsatisfiable 40.65s 5.83s
% Output : CNFRefutation 40.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 6 unt; 9 nHn; 7 RR)
% Number of literals : 43 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p34_19,negated_conjecture,
p34(c36,c37) ).
cnf(not_p4_40,negated_conjecture,
~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))) ).
cnf(p4_55,negated_conjecture,
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ) ).
cnf(p4_56,negated_conjecture,
( ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1)))
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ) ).
cnf(p4_57,negated_conjecture,
( ~ p35(f12(X0,X2),f30(f32(c45,X0),X1))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2)) ) ).
cnf(p4_58,negated_conjecture,
( ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1)))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2)) ) ).
cnf(c18,plain,
p34(c36,c37),
inference(clausification,[status(esa)],[p34_19]) ).
cnf(c39,plain,
~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
inference(clausification,[status(esa)],[not_p4_40]) ).
cnf(c54,plain,
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(clausification,[status(esa)],[p4_55]) ).
cnf(c55,plain,
( ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1)))
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(clausification,[status(esa)],[p4_56]) ).
cnf(c56,plain,
( ~ p35(f12(X0,X2),f30(f32(c45,X0),X1))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2)) ),
inference(clausification,[status(esa)],[p4_57]) ).
cnf(c57,plain,
( ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1)))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2)) ),
inference(clausification,[status(esa)],[p4_58]) ).
cnf(d0,plain,
( p4(f5(f9(c39,f26(f28(c46,X0),X1)),X3),f5(f9(c39,f26(f28(c47,X0),X1)),X3))
| ~ p35(f12(X0,f14(f16(f18(c40,f26(f28(c46,X0),X1)),f26(f28(c47,X0),X1)),X3)),f30(f32(c45,X0),X1))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[c56,c55]) ).
cnf(d1,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
inference(resolution,[status(thm)],[d0,c54]) ).
cnf(d2,plain,
( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
inference(resolution,[status(thm)],[c18,d1]) ).
cnf(d3,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
| p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)) ),
inference(resolution,[status(thm)],[d2,c57]) ).
cnf(d4,plain,
( p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
| p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)) ),
inference(resolution,[status(thm)],[c18,d3]) ).
cnf(d5,plain,
p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,c39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n002.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 18:22:50 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.65/5.83 % SZS status Unsatisfiable for theBenchmark.p
% 40.65/5.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------