%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN573-1 : 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 : 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 09:29:07 AM UTC 2026
% Result : Unsatisfiable 10.39s 1.80s
% Output : CNFRefutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 12 unt; 4 nHn; 18 RR)
% Number of literals : 50 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c15_is_p12_1,negated_conjecture,
p12(c15) ).
cnf(p2_3,negated_conjecture,
p2(X0,X0) ).
cnf(p2_13,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p11_14,negated_conjecture,
( ~ p12(X0)
| p2(X0,f9(c17))
| p11(X0,c16) ) ).
cnf(p11_16,negated_conjecture,
p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))) ).
cnf(p11_17,negated_conjecture,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ) ).
cnf(not_p11_19,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ).
cnf(p11_21,negated_conjecture,
( ~ p11(X0,X1)
| p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14)))))) ) ).
cnf(c0,plain,
p12(c15),
inference(clausification,[status(esa)],[c15_is_p12_1]) ).
cnf(c2,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_3]) ).
cnf(c12,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_13]) ).
cnf(c13,plain,
( ~ p12(X0)
| p2(X0,f9(c17))
| p11(X0,c16) ),
inference(clausification,[status(esa)],[p11_14]) ).
cnf(c15,plain,
p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))),
inference(clausification,[status(esa)],[p11_16]) ).
cnf(c16,plain,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_17]) ).
cnf(c18,plain,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
inference(clausification,[status(esa)],[not_p11_19]) ).
cnf(c20,plain,
( ~ p11(X0,X1)
| p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14)))))) ),
inference(clausification,[status(esa)],[p11_21]) ).
cnf(d0,plain,
( ~ p2(X0,X1)
| p2(f9(c17),X1)
| p11(X0,c16)
| ~ p12(X0) ),
inference(resolution,[status(thm)],[c13,c12]) ).
cnf(d1,plain,
( p11(X0,c16)
| p2(f9(c17),X0)
| ~ p12(X0) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( p11(X3,X2)
| ~ p2(X1,X3)
| ~ p2(f3(f8(X0),f3(f8(X1),f5(f6(f7(c14))))),X2) ),
inference(resolution,[status(thm)],[c16,c15]) ).
cnf(d3,plain,
( p11(X1,f3(f8(X2),f3(f8(X0),f5(f6(f7(c14))))))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
~ p2(f9(c17),c15),
inference(resolution,[status(thm)],[d3,c18]) ).
cnf(d5,plain,
( p11(c15,c16)
| ~ p12(c15) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
p11(c15,c16),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
~ p11(c15,c16),
inference(resolution,[status(thm)],[c20,c18]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:17:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.39/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 10.39/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------