%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN637-1 : 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 : 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 09:29:14 AM UTC 2026
% Result : Unsatisfiable 11.78s 4.32s
% Output : CNFRefutation 11.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 14 RR)
% Number of literals : 37 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_4,negated_conjecture,
p4(X0,X0) ).
cnf(p4_12,negated_conjecture,
( ~ p4(X0,X1)
| p4(f16(X0),f16(X1)) ) ).
cnf(p22_28,negated_conjecture,
( ~ p22(X2,X3)
| ~ p4(X3,X1)
| ~ p4(X2,X0)
| p22(X0,X1) ) ).
cnf(p4_32,negated_conjecture,
( ~ p4(X1,X3)
| ~ p4(X0,X2)
| p4(f17(X0,X1),f17(X2,X3)) ) ).
cnf(p4_39,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X0,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X0,c29)) ).
cnf(p22_40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ).
cnf(not_p22_41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) ).
cnf(c3,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_4]) ).
cnf(c11,plain,
( ~ p4(X0,X1)
| p4(f16(X0),f16(X1)) ),
inference(clausification,[status(esa)],[p4_12]) ).
cnf(c27,plain,
( ~ p22(X3,X0)
| ~ p4(X3,X2)
| p22(X2,X1)
| ~ p4(X0,X1) ),
inference(clausification,[status(esa)],[p22_28]) ).
cnf(c31,plain,
( ~ p4(X2,X3)
| p4(f17(X0,X2),f17(X1,X3))
| ~ p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_32]) ).
cnf(c38,plain,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X0,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X0,c29)),
inference(clausification,[status(esa)],[p4_39]) ).
cnf(c39,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
inference(clausification,[status(esa)],[p22_40]) ).
cnf(c40,plain,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(clausification,[status(esa)],[not_p22_41]) ).
cnf(d0,plain,
( ~ p22(X0,X2)
| p22(X1,X2)
| ~ p4(X0,X1) ),
inference(resolution,[status(thm)],[c27,c3]) ).
cnf(d1,plain,
( p4(f17(X2,X0),f17(X2,X1))
| ~ p4(X0,X1) ),
inference(resolution,[status(thm)],[c31,c3]) ).
cnf(d2,plain,
p4(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27)),f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29))),
inference(resolution,[status(thm)],[d1,c38]) ).
cnf(d3,plain,
p4(f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27))),f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)))),
inference(resolution,[status(thm)],[d2,c11]) ).
cnf(d4,plain,
( ~ p22(f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27))),X2)
| p22(f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29))),X2) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c40,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN637-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:17:21 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.78/4.32 % SZS status Unsatisfiable for theBenchmark.p
% 11.78/4.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------