%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN649-1 : 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 : 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 09:29:16 AM UTC 2026
% Result : Unsatisfiable 42.17s 5.95s
% Output : CNFRefutation 42.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 9 unt; 0 nHn; 22 RR)
% Number of literals : 37 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29) ).
cnf(not_p23_38,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29)
| ~ p23(f5(c24,c25),X0) ) ).
cnf(p23_39,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1)
| p23(f5(c24,X0),f14(f22(c33,X1),X0)) ) ).
cnf(p23_40,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3) ) ).
cnf(p23_41,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0) ) ).
cnf(p23_42,negated_conjecture,
( ~ p23(f5(f7(f10(c26,X0),X1),X2),X4)
| ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3) ) ).
cnf(p23_44,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3)) ) ).
cnf(c25,plain,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
inference(clausification,[status(esa)],[p23_26]) ).
cnf(c37,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29)
| ~ p23(f5(c24,c25),X0) ),
inference(clausification,[status(esa)],[not_p23_38]) ).
cnf(c38,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1)
| p23(f5(c24,X0),f14(f22(c33,X1),X0)) ),
inference(clausification,[status(esa)],[p23_39]) ).
cnf(c39,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3) ),
inference(clausification,[status(esa)],[p23_40]) ).
cnf(c40,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0) ),
inference(clausification,[status(esa)],[p23_41]) ).
cnf(c41,plain,
( ~ p23(f5(f7(f10(c26,X3),X0),X4),X1)
| p23(f5(f7(f10(c26,f12(c27,X3)),X0),X4),X2)
| ~ p23(f5(X0,X1),X2) ),
inference(clausification,[status(esa)],[p23_42]) ).
cnf(c43,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3)) ),
inference(clausification,[status(esa)],[p23_44]) ).
cnf(d0,plain,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
inference(resolution,[status(thm)],[c39,c25]) ).
cnf(d1,plain,
( p23(f5(f7(f10(c26,f12(c27,X0)),c24),X1),c29)
| ~ p23(f5(f7(f10(c26,X0),c24),X1),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) ),
inference(resolution,[status(thm)],[d0,c41]) ).
cnf(d2,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolution,[status(thm)],[c43,c25]) ).
cnf(d3,plain,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolution,[status(thm)],[d2,c40]) ).
cnf(d4,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
~ p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(resolution,[status(thm)],[d4,c37]) ).
cnf(d6,plain,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(resolution,[status(thm)],[d2,c38]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45 % Computer : n007.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.45 % CPULimit : 300
% 0.21/0.45 % WCLimit : 300
% 0.21/0.45 % DateTime : Sat Sep 26 18:16:10 UTC 2026
% 0.21/0.45 % CPUTime :
% 0.21/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.17/5.95 % SZS status Unsatisfiable for theBenchmark.p
% 42.17/5.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------