%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN708-1 : 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 : n007.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 09:29:24 AM UTC 2026
% Result : Unsatisfiable 38.14s 14.26s
% Output : CNFRefutation 38.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 45 ( 18 unt; 0 nHn; 43 RR)
% Number of literals : 102 ( 0 equ; 62 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c56_is_p38_1,negated_conjecture,
p38(c56) ).
cnf(p10_3,negated_conjecture,
p10(X0,X0) ).
cnf(p37_13,negated_conjecture,
p37(f15(c56),c48) ).
cnf(p38_15,negated_conjecture,
( ~ p38(X0)
| p38(f15(X0)) ) ).
cnf(p38_19,negated_conjecture,
( ~ p10(X1,X0)
| ~ p38(X1)
| p38(X0) ) ).
cnf(p16_32,negated_conjecture,
( ~ p10(X0,X1)
| p16(f19(X0),f19(X1)) ) ).
cnf(p16_36,negated_conjecture,
( ~ p38(X0)
| p16(f19(f15(X0)),f28(f19(X0))) ) ).
cnf(p10_37,negated_conjecture,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ) ).
cnf(p16_42,negated_conjecture,
( ~ p16(X2,X1)
| ~ p16(X2,X0)
| p16(X0,X1) ) ).
cnf(p39_52,negated_conjecture,
( ~ p16(X3,X0)
| ~ p39(X3,X2)
| ~ p16(X2,X1)
| p39(X0,X1) ) ).
cnf(p39_54,negated_conjecture,
( ~ p37(X0,X1)
| ~ p38(X0)
| ~ p38(X1)
| p39(f19(X0),f19(X1)) ) ).
cnf(f11_is_p38_64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ).
cnf(p10_66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ).
cnf(not_p39_69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ).
cnf(c0,plain,
p38(c56),
inference(clausification,[status(esa)],[c56_is_p38_1]) ).
cnf(c2,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_3]) ).
cnf(c12,plain,
p37(f15(c56),c48),
inference(clausification,[status(esa)],[p37_13]) ).
cnf(c14,plain,
( ~ p38(X0)
| p38(f15(X0)) ),
inference(clausification,[status(esa)],[p38_15]) ).
cnf(c18,plain,
( ~ p10(X0,X1)
| p38(X1)
| ~ p38(X0) ),
inference(clausification,[status(esa)],[p38_19]) ).
cnf(c31,plain,
( ~ p10(X0,X1)
| p16(f19(X0),f19(X1)) ),
inference(clausification,[status(esa)],[p16_32]) ).
cnf(c35,plain,
( ~ p38(X0)
| p16(f19(f15(X0)),f28(f19(X0))) ),
inference(clausification,[status(esa)],[p16_36]) ).
cnf(c36,plain,
( ~ p10(X0,X2)
| p10(X1,X2)
| ~ p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_37]) ).
cnf(c41,plain,
( ~ p16(X0,X2)
| p16(X1,X2)
| ~ p16(X0,X1) ),
inference(clausification,[status(esa)],[p16_42]) ).
cnf(c51,plain,
( ~ p16(X0,X2)
| ~ p16(X1,X3)
| p39(X2,X3)
| ~ p39(X0,X1) ),
inference(clausification,[status(esa)],[p39_52]) ).
cnf(c53,plain,
( ~ p37(X0,X1)
| ~ p38(X1)
| p39(f19(X0),f19(X1))
| ~ p38(X0) ),
inference(clausification,[status(esa)],[p39_54]) ).
cnf(c63,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(clausification,[status(esa)],[f11_is_p38_64]) ).
cnf(c65,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(clausification,[status(esa)],[p10_66]) ).
cnf(c68,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(clausification,[status(esa)],[not_p39_69]) ).
cnf(d0,plain,
( p39(X3,X2)
| ~ p16(f19(X0),X3)
| ~ p16(f19(X1),X2)
| ~ p37(X0,X1)
| ~ p38(X1)
| ~ p38(X0) ),
inference(resolution,[status(thm)],[c53,c51]) ).
cnf(d1,plain,
( ~ p38(X1)
| p39(f28(f19(X1)),X2)
| ~ p37(f15(X1),X0)
| ~ p16(f19(X0),X2)
| ~ p38(f15(X1))
| ~ p38(X0) ),
inference(resolution,[status(thm)],[d0,c35]) ).
cnf(d2,plain,
( p39(f28(f19(c56)),X0)
| ~ p16(f19(c48),X0)
| ~ p38(f15(c56))
| ~ p38(c48)
| ~ p38(c56) ),
inference(resolution,[status(thm)],[d1,c12]) ).
cnf(d3,plain,
( p39(f28(f19(c56)),X0)
| ~ p16(f19(c48),X0)
| ~ p38(c48)
| ~ p38(f15(c56)) ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
( ~ p10(X1,X0)
| p10(X0,X1) ),
inference(resolution,[status(thm)],[c36,c2]) ).
cnf(d5,plain,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(resolution,[status(thm)],[c65,d4]) ).
cnf(d6,plain,
( ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| p38(c48) ),
inference(resolution,[status(thm)],[d5,c18]) ).
cnf(d7,plain,
p38(c48),
inference(resolution,[status(thm)],[c63,d6]) ).
cnf(d8,plain,
( p39(f28(f19(c56)),X0)
| ~ p16(f19(c48),X0)
| ~ p38(f15(c56)) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( ~ p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p38(f15(c56)) ),
inference(resolution,[status(thm)],[d8,c68]) ).
cnf(d10,plain,
( ~ p10(X2,X0)
| ~ p16(f19(X2),X1)
| p16(f19(X0),X1) ),
inference(resolution,[status(thm)],[c41,c31]) ).
cnf(d11,plain,
( ~ p10(X0,X2)
| p16(f19(X1),f19(X2))
| ~ p10(X0,X1) ),
inference(resolution,[status(thm)],[d10,c31]) ).
cnf(d12,plain,
( p16(f19(c48),f19(X0))
| ~ p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0) ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
~ p38(f15(c56)),
inference(resolution,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
~ p38(c56),
inference(resolution,[status(thm)],[d14,c14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c0,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:19:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.14/14.26 % SZS status Unsatisfiable for theBenchmark.p
% 38.14/14.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------