%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN691-1 : 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 : n014.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 14.37s 3.68s
% Output : CNFRefutation 14.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 41 ( 18 unt; 0 nHn; 28 RR)
% Number of literals : 80 ( 0 equ; 42 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 87 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
p4(X0,X0) ).
cnf(p3_10,negated_conjecture,
p3(X0,X0) ).
cnf(p22_15,negated_conjecture,
p22(X0,X0) ).
cnf(p2_17,negated_conjecture,
p2(X0,X0) ).
cnf(p4_26,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(p3_31,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(not_p39_43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46) ).
cnf(p39_44,negated_conjecture,
( ~ p39(f17(f19(f21(c47,X0),X2),X3),X1)
| p39(X0,X1) ) ).
cnf(p39_45,negated_conjecture,
( ~ p22(X3,X1)
| ~ p4(X2,X0)
| ~ p39(X2,X3)
| p39(X0,X1) ) ).
cnf(p39_46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46) ).
cnf(p4_50,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ) ).
cnf(p39_63,negated_conjecture,
( ~ p39(f5(c40,f10(f13(f15(c42,X0),X2),X3)),X1)
| p39(X0,X1) ) ).
cnf(p39_64,negated_conjecture,
( ~ p39(X0,X3)
| p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),X3) ) ).
cnf(p3_67,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X0),X1),X2)),f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2))) ).
cnf(c4,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_5]) ).
cnf(c9,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_10]) ).
cnf(c14,plain,
p22(X0,X0),
inference(clausification,[status(esa)],[p22_15]) ).
cnf(c16,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_17]) ).
cnf(c25,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_26]) ).
cnf(c30,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_31]) ).
cnf(c42,plain,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
inference(clausification,[status(esa)],[not_p39_43]) ).
cnf(c43,plain,
( ~ p39(f17(f19(f21(c47,X0),X2),X3),X1)
| p39(X0,X1) ),
inference(clausification,[status(esa)],[p39_44]) ).
cnf(c44,plain,
( ~ p22(X3,X1)
| ~ p4(X2,X0)
| ~ p39(X2,X3)
| p39(X0,X1) ),
inference(clausification,[status(esa)],[p39_45]) ).
cnf(c45,plain,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
inference(clausification,[status(esa)],[p39_46]) ).
cnf(c49,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(clausification,[status(esa)],[p4_50]) ).
cnf(c62,plain,
( ~ p39(f5(c40,f10(f13(f15(c42,X0),X2),X3)),X1)
| p39(X0,X1) ),
inference(clausification,[status(esa)],[p39_63]) ).
cnf(c63,plain,
( ~ p39(X0,X3)
| p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),X3) ),
inference(clausification,[status(esa)],[p39_64]) ).
cnf(c66,plain,
p3(f7(c41,f10(f13(f15(c42,X0),X1),X2)),f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2))),
inference(clausification,[status(esa)],[p3_67]) ).
cnf(d0,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c30,c9]) ).
cnf(d1,plain,
p3(f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2)),f7(c41,f10(f13(f15(c42,X0),X1),X2))),
inference(resolution,[status(thm)],[c66,d0]) ).
cnf(d2,plain,
( ~ p4(X1,X0)
| p4(X0,X1) ),
inference(resolution,[status(thm)],[c25,c4]) ).
cnf(d3,plain,
( p4(f5(X3,X1),f5(X2,X0))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c49,d2]) ).
cnf(d4,plain,
( p39(X0,X1)
| ~ p22(c46,X1)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X0) ),
inference(resolution,[status(thm)],[c45,c44]) ).
cnf(d5,plain,
( ~ p2(X1,c40)
| ~ p3(X2,f7(c41,f10(f13(f15(c42,c43),c44),c45)))
| p39(f5(X1,X2),X0)
| ~ p22(c46,X0) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( p39(f5(X1,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),X0)
| ~ p2(X1,c40)
| ~ p22(c46,X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( p39(f17(f19(f21(c47,c43),c44),c45),X0)
| ~ p2(c40,c40)
| ~ p22(c46,X0) ),
inference(resolution,[status(thm)],[d6,c62]) ).
cnf(d8,plain,
( p39(f17(f19(f21(c47,c43),c44),c45),X0)
| ~ p22(c46,X0) ),
inference(resolution,[status(thm)],[c16,d7]) ).
cnf(d9,plain,
( p39(c43,X0)
| ~ p22(c46,X0) ),
inference(resolution,[status(thm)],[d8,c43]) ).
cnf(d10,plain,
p39(c43,c46),
inference(resolution,[status(thm)],[d9,c14]) ).
cnf(d11,plain,
~ p39(c43,c46),
inference(resolution,[status(thm)],[c63,c42]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n014.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 18:20:16 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.37/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 14.37/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------