%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN603-1 : 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 : n012.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 09:29:10 AM UTC 2026
% Result : Unsatisfiable 10.92s 3.82s
% Output : CNFRefutation 10.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 13 unt; 0 nHn; 23 RR)
% Number of literals : 49 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X0,X0) ).
cnf(p15_3,negated_conjecture,
p15(c22,c21) ).
cnf(p2_5,negated_conjecture,
p2(c22,f9(c20,c23)) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(c16)),c17) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_19,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))) ).
cnf(p2_21,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f6(X0,X1),f6(X2,X3)) ) ).
cnf(not_p15_26,negated_conjecture,
( ~ p2(f7(f8(c21,X0),c20),f6(f5(f4(c16)),c17))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ) ).
cnf(c1,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_2]) ).
cnf(c2,plain,
p15(c22,c21),
inference(clausification,[status(esa)],[p15_3]) ).
cnf(c4,plain,
p2(c22,f9(c20,c23)),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c5,plain,
p2(f3(f4(c16)),c17),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c13,plain,
( ~ p2(X0,X2)
| p2(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_14]) ).
cnf(c18,plain,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
inference(clausification,[status(esa)],[p2_19]) ).
cnf(c20,plain,
( ~ p2(X2,X3)
| p2(f6(X0,X2),f6(X1,X3))
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_21]) ).
cnf(c25,plain,
( ~ p2(f7(f8(c21,X0),c20),f6(f5(f4(c16)),c17))
| ~ p15(X0,c21)
| ~ p2(X0,f9(c20,X1)) ),
inference(clausification,[status(esa)],[not_p15_26]) ).
cnf(d0,plain,
( ~ p2(f6(X0,X2),X4)
| p2(X4,f6(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c20,c13]) ).
cnf(d1,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c13,c1]) ).
cnf(d2,plain,
p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20)),
inference(resolution,[status(thm)],[d1,c18]) ).
cnf(d3,plain,
( ~ p2(f5(f4(c16)),X0)
| ~ p2(f3(f4(c16)),X1)
| p2(f7(f8(c21,c22),c20),f6(X0,X1)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ p15(c22,c21)
| ~ p2(c22,f9(c20,X0))
| ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p2(f3(f4(c16)),c17) ),
inference(resolution,[status(thm)],[d3,c25]) ).
cnf(d5,plain,
( ~ p15(c22,c21)
| ~ p2(f3(f4(c16)),c17)
| ~ p2(c22,f9(c20,X0)) ),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( ~ p2(f3(f4(c16)),c17)
| ~ p2(c22,f9(c20,X0)) ),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
~ p2(c22,f9(c20,X0)),
inference(resolution,[status(thm)],[c5,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 18:15:35 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.92/3.82 % SZS status Unsatisfiable for theBenchmark.p
% 10.92/3.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------