%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN672-1 : 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 : n011.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 09:29:19 AM UTC 2026
% Result : Unsatisfiable 25.16s 5.96s
% Output : CNFRefutation 25.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 17 unt; 3 nHn; 21 RR)
% Number of literals : 50 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_3,negated_conjecture,
p8(X0,X0) ).
cnf(p3_6,negated_conjecture,
p3(X0,X0) ).
cnf(not_p3_18,negated_conjecture,
~ p3(c40,f14(c38,c39)) ).
cnf(p31_19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)) ).
cnf(p3_37,negated_conjecture,
p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)) ).
cnf(p30_39,negated_conjecture,
( ~ p3(X3,X1)
| ~ p9(X2,X0)
| ~ p30(X2,X3)
| p30(X0,X1) ) ).
cnf(not_p30_40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)) ).
cnf(p9_42,negated_conjecture,
( ~ p8(X0,X2)
| ~ p3(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ) ).
cnf(p3_53,negated_conjecture,
( ~ p31(f20(c36,X1),f17(c37,X0))
| p30(f10(f12(c32,c33),f14(c38,X1)),X0)
| p3(X0,f14(c38,X1)) ) ).
cnf(p30_54,negated_conjecture,
( ~ p30(f10(f12(c32,c33),X0),X1)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1)) ) ).
cnf(c2,plain,
p8(X0,X0),
inference(clausification,[status(esa)],[p8_3]) ).
cnf(c5,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_6]) ).
cnf(c17,plain,
~ p3(c40,f14(c38,c39)),
inference(clausification,[status(esa)],[not_p3_18]) ).
cnf(c18,plain,
p31(f20(c36,c39),f17(c37,c40)),
inference(clausification,[status(esa)],[p31_19]) ).
cnf(c36,plain,
p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)),
inference(clausification,[status(esa)],[p3_37]) ).
cnf(c38,plain,
( ~ p3(X3,X2)
| ~ p30(X0,X3)
| p30(X1,X2)
| ~ p9(X0,X1) ),
inference(clausification,[status(esa)],[p30_39]) ).
cnf(c39,plain,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(clausification,[status(esa)],[not_p30_40]) ).
cnf(c41,plain,
( ~ p8(X2,X3)
| p9(f10(X2,X0),f10(X3,X1))
| ~ p3(X0,X1) ),
inference(clausification,[status(esa)],[p9_42]) ).
cnf(c52,plain,
( ~ p31(f20(c36,X0),f17(c37,X1))
| p3(X1,f14(c38,X0))
| p30(f10(f12(c32,c33),f14(c38,X0)),X1) ),
inference(clausification,[status(esa)],[p3_53]) ).
cnf(c53,plain,
( ~ p30(f10(f12(c32,c33),X0),X1)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1)) ),
inference(clausification,[status(esa)],[p30_54]) ).
cnf(d0,plain,
( p30(f10(f12(c32,c33),f14(c38,c39)),c40)
| p3(c40,f14(c38,c39)) ),
inference(resolution,[status(thm)],[c52,c18]) ).
cnf(d1,plain,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(resolution,[status(thm)],[c17,d0]) ).
cnf(d2,plain,
p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
inference(resolution,[status(thm)],[d1,c53]) ).
cnf(d3,plain,
( ~ p3(X1,X2)
| p9(f10(X0,X1),f10(X0,X2)) ),
inference(resolution,[status(thm)],[c41,c2]) ).
cnf(d4,plain,
p9(f10(X0,f4(f7(c34,X1),f14(c38,X2))),f10(X0,f14(X1,X2))),
inference(resolution,[status(thm)],[d3,c36]) ).
cnf(d5,plain,
( ~ p30(f10(X2,f4(f7(c34,X3),f14(c38,X4))),X0)
| p30(f10(X2,f14(X3,X4)),X1)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d4,c38]) ).
cnf(d6,plain,
( ~ p30(f10(X0,f4(f7(c34,X1),f14(c38,X2))),X3)
| p30(f10(X0,f14(X1,X2)),X3) ),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c39,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:19:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.16/5.96 % SZS status Unsatisfiable for theBenchmark.p
% 25.16/5.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------