%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN717-1 : 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 : n002.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 09:29:25 AM UTC 2026
% Result : Unsatisfiable 14.22s 17.22s
% Output : CNFRefutation 14.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 45 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p22_28,negated_conjecture,
p22(X0,X0) ).
cnf(p20_29,negated_conjecture,
p20(X0,X0) ).
cnf(p23_36,negated_conjecture,
p23(c79,c77) ).
cnf(p60_42,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)) ).
cnf(p59_44,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72) ).
cnf(p60_84,negated_conjecture,
( ~ p20(X3,X1)
| ~ p60(X2,X3)
| ~ p24(X2,X0)
| p60(X0,X1) ) ).
cnf(p24_94,negated_conjecture,
( ~ p23(X1,X3)
| ~ p22(X0,X2)
| p24(f25(X0,X1),f25(X2,X3)) ) ).
cnf(not_p60_107,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X0),X3)),c72)
| ~ p59(f29(c73,f31(f33(c74,X2),X1)),c72)
| ~ p60(f25(c75,X0),f21(c76,X1)) ) ).
cnf(c27,plain,
p22(X0,X0),
inference(clausification,[status(esa)],[p22_28]) ).
cnf(c28,plain,
p20(X0,X0),
inference(clausification,[status(esa)],[p20_29]) ).
cnf(c35,plain,
p23(c79,c77),
inference(clausification,[status(esa)],[p23_36]) ).
cnf(c41,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(clausification,[status(esa)],[p60_42]) ).
cnf(c43,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(clausification,[status(esa)],[p59_44]) ).
cnf(c83,plain,
( ~ p20(X3,X1)
| ~ p60(X2,X3)
| ~ p24(X2,X0)
| p60(X0,X1) ),
inference(clausification,[status(esa)],[p60_84]) ).
cnf(c93,plain,
( ~ p23(X1,X3)
| ~ p22(X0,X2)
| p24(f25(X0,X1),f25(X2,X3)) ),
inference(clausification,[status(esa)],[p24_94]) ).
cnf(c106,plain,
( ~ p59(f29(c73,f31(f33(c74,X0),X3)),c72)
| ~ p59(f29(c73,f31(f33(c74,X2),X1)),c72)
| ~ p60(f25(c75,X0),f21(c76,X1)) ),
inference(clausification,[status(esa)],[not_p60_107]) ).
cnf(d0,plain,
( ~ p60(f25(c75,c77),f21(c76,X1))
| ~ p59(f29(c73,f31(f33(c74,X0),X1)),c72) ),
inference(resolution,[status(thm)],[c106,c43]) ).
cnf(d1,plain,
~ p60(f25(c75,c77),f21(c76,c78)),
inference(resolution,[status(thm)],[d0,c43]) ).
cnf(d2,plain,
( p60(X0,X1)
| ~ p20(f21(c76,c78),X1)
| ~ p24(f25(c75,c79),X0) ),
inference(resolution,[status(thm)],[c83,c41]) ).
cnf(d3,plain,
( p60(X0,f21(c76,c78))
| ~ p24(f25(c75,c79),X0) ),
inference(resolution,[status(thm)],[d2,c28]) ).
cnf(d4,plain,
( ~ p22(c75,X0)
| ~ p23(c79,X1)
| p60(f25(X0,X1),f21(c76,c78)) ),
inference(resolution,[status(thm)],[d3,c93]) ).
cnf(d5,plain,
( ~ p22(c75,c75)
| ~ p23(c79,c77) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
~ p23(c79,c77),
inference(resolution,[status(thm)],[c27,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c35,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.39 % Computer : n002.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Sat Sep 26 18:24:36 UTC 2026
% 0.10/15.40 % CPUTime :
% 0.10/15.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.22/17.22 % SZS status Unsatisfiable for theBenchmark.p
% 14.22/17.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------