%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN651-1 : 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 : n004.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 24.75s 4.07s
% Output : CNFRefutation 24.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 35 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p23_13,negated_conjecture,
p23(f5(c27,c28),c30) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) ).
cnf(not_p23_28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29) ).
cnf(p23_41,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3) ) ).
cnf(p23_43,negated_conjecture,
( ~ p23(f5(f7(f10(c24,X0),X1),X2),X4)
| ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ) ).
cnf(p23_44,negated_conjecture,
( ~ p23(f5(f7(f10(c24,c26),c27),X2),X1)
| ~ p23(f5(c27,X0),X2)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1) ) ).
cnf(p23_45,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3)) ) ).
cnf(c12,plain,
p23(f5(c27,c28),c30),
inference(clausification,[status(esa)],[p23_13]) ).
cnf(c25,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
inference(clausification,[status(esa)],[p23_26]) ).
cnf(c27,plain,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(clausification,[status(esa)],[not_p23_28]) ).
cnf(c40,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3) ),
inference(clausification,[status(esa)],[p23_41]) ).
cnf(c42,plain,
( ~ p23(f5(f7(f10(c24,X3),X0),X4),X1)
| p23(f5(f7(f10(c24,f12(c25,X3)),X0),X4),X2)
| ~ p23(f5(X0,X1),X2) ),
inference(clausification,[status(esa)],[p23_43]) ).
cnf(c43,plain,
( ~ p23(f5(f7(f10(c24,c26),c27),X1),X2)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X2)
| ~ p23(f5(c27,X0),X1) ),
inference(clausification,[status(esa)],[p23_44]) ).
cnf(c44,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3)) ),
inference(clausification,[status(esa)],[p23_45]) ).
cnf(d0,plain,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(resolution,[status(thm)],[c40,c25]) ).
cnf(d1,plain,
( p23(f5(f7(f10(c24,f12(c25,X0)),c27),X1),c29)
| ~ p23(f5(f7(f10(c24,X0),c27),X1),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(resolution,[status(thm)],[d0,c42]) ).
cnf(d2,plain,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolution,[status(thm)],[c44,c25]) ).
cnf(d3,plain,
( ~ p23(f5(f7(f10(c24,c26),c27),c30),X0)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),X0) ),
inference(resolution,[status(thm)],[c43,c12]) ).
cnf(d4,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c27,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 18:18:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.75/4.07 % SZS status Unsatisfiable for theBenchmark.p
% 24.75/4.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------