%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN710-1 : 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 : n003.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 09:29:24 AM UTC 2026
% Result : Unsatisfiable 21.68s 3.26s
% Output : CNFRefutation 21.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 5 unt; 4 nHn; 18 RR)
% Number of literals : 44 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p33_25,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)) ).
cnf(p36_27,negated_conjecture,
( ~ p33(f18(c51,X1),X0)
| p36(X0,X1) ) ).
cnf(p33_28,negated_conjecture,
( ~ p36(X1,X0)
| p33(f18(c51,X0),X1) ) ).
cnf(p33_50,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)) ).
cnf(p33_72,negated_conjecture,
( p33(f18(c51,f20(f22(c52,X0),X1)),X0)
| p33(f11(c46,X0),X1) ) ).
cnf(p33_73,negated_conjecture,
( ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1)
| p33(f11(c46,X0),X1) ) ).
cnf(p33_75,negated_conjecture,
( ~ p33(f18(c51,X0),X2)
| p33(f18(c51,X0),f13(f16(c48,X1),X2)) ) ).
cnf(p33_80,negated_conjecture,
( ~ p33(f18(c51,X0),X2)
| ~ p33(f11(c46,X2),X1)
| p33(f18(c51,X0),X1) ) ).
cnf(c24,plain,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(clausification,[status(esa)],[not_p33_25]) ).
cnf(c26,plain,
( ~ p33(f18(c51,X1),X0)
| p36(X0,X1) ),
inference(clausification,[status(esa)],[p36_27]) ).
cnf(c27,plain,
( ~ p36(X1,X0)
| p33(f18(c51,X0),X1) ),
inference(clausification,[status(esa)],[p33_28]) ).
cnf(c49,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
inference(clausification,[status(esa)],[p33_50]) ).
cnf(c71,plain,
( p33(f18(c51,f20(f22(c52,X0),X1)),X0)
| p33(f11(c46,X0),X1) ),
inference(clausification,[status(esa)],[p33_72]) ).
cnf(c72,plain,
( ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1)
| p33(f11(c46,X0),X1) ),
inference(clausification,[status(esa)],[p33_73]) ).
cnf(c74,plain,
( ~ p33(f18(c51,X0),X2)
| p33(f18(c51,X0),f13(f16(c48,X1),X2)) ),
inference(clausification,[status(esa)],[p33_75]) ).
cnf(c79,plain,
( ~ p33(f18(c51,X0),X2)
| ~ p33(f11(c46,X2),X1)
| p33(f18(c51,X0),X1) ),
inference(clausification,[status(esa)],[p33_80]) ).
cnf(d0,plain,
( ~ p36(X1,f20(f22(c52,X0),X1))
| p33(f11(c46,X0),X1) ),
inference(resolution,[status(thm)],[c72,c27]) ).
cnf(d1,plain,
( ~ p33(f18(c51,X3),X1)
| p33(f18(c51,X3),X2)
| ~ p33(f11(c46,f13(f16(c48,X0),X1)),X2) ),
inference(resolution,[status(thm)],[c79,c74]) ).
cnf(d2,plain,
( ~ p33(f18(c51,X0),c50)
| p33(f18(c51,X0),f9(c47,c43)) ),
inference(resolution,[status(thm)],[d1,c49]) ).
cnf(d3,plain,
( p36(f9(c47,c43),X0)
| ~ p33(f18(c51,X0),c50) ),
inference(resolution,[status(thm)],[d2,c26]) ).
cnf(d4,plain,
( p33(f11(c46,c50),X0)
| p36(f9(c47,c43),f20(f22(c52,c50),X0)) ),
inference(resolution,[status(thm)],[d3,c71]) ).
cnf(d5,plain,
( p33(f11(c46,c50),f9(c47,c43))
| p33(f11(c46,c50),f9(c47,c43)) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c24,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n003.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 18:23:10 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.68/3.26 % SZS status Unsatisfiable for theBenchmark.p
% 21.68/3.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------