%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN706-1 : 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 : n012.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 09:29:23 AM UTC 2026
% Result : Unsatisfiable 10.10s 12.32s
% Output : CNFRefutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 15 unt; 0 nHn; 15 RR)
% Number of literals : 48 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 51 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p47_5,negated_conjecture,
p47(X0,X0) ).
cnf(p36_11,negated_conjecture,
p36(X0,X0) ).
cnf(p45_27,negated_conjecture,
p45(f20(c52,c50),c58) ).
cnf(not_p48_29,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60) ).
cnf(p48_57,negated_conjecture,
( ~ p37(X3,X0)
| ~ p48(X3,X2)
| ~ p47(X2,X1)
| p48(X0,X1) ) ).
cnf(p7_59,negated_conjecture,
p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1) ).
cnf(p37_67,negated_conjecture,
( ~ p7(X1,X3)
| ~ p36(X0,X2)
| p37(f38(X0,X1),f38(X2,X3)) ) ).
cnf(p46_78,negated_conjecture,
( ~ p45(f20(c52,X2),X0)
| p46(f23(c53,f35(X0,X1)),f5(c49,X2)) ) ).
cnf(p48_81,negated_conjecture,
( ~ p46(f23(c53,X0),f5(c49,c50))
| ~ p45(f20(c52,c50),X1)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),X1)),c60) ) ).
cnf(c4,plain,
p47(X0,X0),
inference(clausification,[status(esa)],[p47_5]) ).
cnf(c10,plain,
p36(X0,X0),
inference(clausification,[status(esa)],[p36_11]) ).
cnf(c26,plain,
p45(f20(c52,c50),c58),
inference(clausification,[status(esa)],[p45_27]) ).
cnf(c28,plain,
~ p48(f38(f40(c59,c50),c58),c60),
inference(clausification,[status(esa)],[not_p48_29]) ).
cnf(c56,plain,
( ~ p37(X0,X2)
| ~ p47(X1,X3)
| p48(X2,X3)
| ~ p48(X0,X1) ),
inference(clausification,[status(esa)],[p48_57]) ).
cnf(c58,plain,
p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1),
inference(clausification,[status(esa)],[p7_59]) ).
cnf(c66,plain,
( ~ p7(X2,X3)
| p37(f38(X0,X2),f38(X1,X3))
| ~ p36(X0,X1) ),
inference(clausification,[status(esa)],[p37_67]) ).
cnf(c77,plain,
( ~ p45(f20(c52,X2),X0)
| p46(f23(c53,f35(X0,X1)),f5(c49,X2)) ),
inference(clausification,[status(esa)],[p46_78]) ).
cnf(c80,plain,
( ~ p46(f23(c53,X1),f5(c49,c50))
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X0)),c60)
| ~ p45(f20(c52,c50),X0) ),
inference(clausification,[status(esa)],[p48_81]) ).
cnf(d0,plain,
p46(f23(c53,f35(c58,X0)),f5(c49,c50)),
inference(resolution,[status(thm)],[c77,c26]) ).
cnf(d1,plain,
( ~ p46(f23(c53,X0),f5(c49,c50))
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),c58)),c60) ),
inference(resolution,[status(thm)],[c80,c26]) ).
cnf(d2,plain,
p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X0))),c58)),c60),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ p48(X0,X2)
| p48(X1,X2)
| ~ p37(X0,X1) ),
inference(resolution,[status(thm)],[c56,c4]) ).
cnf(d4,plain,
( ~ p36(X0,X3)
| p37(f38(X0,f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2)),f38(X3,X2)) ),
inference(resolution,[status(thm)],[c66,c58]) ).
cnf(d5,plain,
p37(f38(X0,f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2)),f38(X0,X2)),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
( ~ p48(f38(X0,f8(f11(c54,f14(f17(c55,X3),f35(X1,X3))),X1)),X2)
| p48(f38(X0,X1),X2) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
p48(f38(f40(c59,c50),c58),c60),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c28,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/10.35 % Computer : n012.cluster.edu
% 0.08/10.35 % Model : x86_64 x86_64
% 0.08/10.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.35 % Memory : 8046.5625MB
% 0.08/10.35 % OS : Linux 6.8.0-71-generic
% 0.08/10.35 % CPULimit : 300
% 0.08/10.35 % WCLimit : 300
% 0.08/10.35 % DateTime : Sat Sep 26 18:20:45 UTC 2026
% 0.08/10.35 % CPUTime :
% 0.08/10.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.10/12.32 % SZS status Unsatisfiable for theBenchmark.p
% 10.10/12.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------