%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN585-1 : 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 : 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 09:29:08 AM UTC 2026
% Result : Unsatisfiable 12.28s 7.54s
% Output : CNFRefutation 12.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 13 unt; 4 nHn; 19 RR)
% Number of literals : 61 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p11_2,negated_conjecture,
p11(X0,X0) ).
cnf(not_p2_6,negated_conjecture,
~ p2(c12,f3(c13)) ).
cnf(p11_7,negated_conjecture,
p11(c18,f9(c12,c14)) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))) ).
cnf(p11_13,negated_conjecture,
( ~ p11(X0,X2)
| p11(X0,f8(X1,X2)) ) ).
cnf(p11_16,negated_conjecture,
( ~ p11(X2,X1)
| ~ p11(X0,X2)
| p11(X0,X1) ) ).
cnf(p11_19,negated_conjecture,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ) ).
cnf(p2_26,negated_conjecture,
( ~ p11(X1,X2)
| p11(f9(X0,X1),f9(X0,X2))
| p2(X0,f3(c13)) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p11(X0,X0),
inference(clausification,[status(esa)],[p11_2]) ).
cnf(c5,plain,
~ p2(c12,f3(c13)),
inference(clausification,[status(esa)],[not_p2_6]) ).
cnf(c6,plain,
p11(c18,f9(c12,c14)),
inference(clausification,[status(esa)],[p11_7]) ).
cnf(c11,plain,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(clausification,[status(esa)],[not_p11_12]) ).
cnf(c12,plain,
( ~ p11(X0,X2)
| p11(X0,f8(X1,X2)) ),
inference(clausification,[status(esa)],[p11_13]) ).
cnf(c15,plain,
( ~ p11(X2,X1)
| ~ p11(X0,X2)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_16]) ).
cnf(c18,plain,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_19]) ).
cnf(c25,plain,
( ~ p11(X1,X2)
| p11(f9(X0,X1),f9(X0,X2))
| p2(X0,f3(c13)) ),
inference(clausification,[status(esa)],[p2_26]) ).
cnf(d0,plain,
( ~ p11(X3,X1)
| p11(X4,X2)
| ~ p2(X3,X4)
| ~ p2(f8(X0,X1),X2) ),
inference(resolution,[status(thm)],[c18,c12]) ).
cnf(d1,plain,
( ~ p11(X0,X3)
| p11(X1,f8(X2,X3))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( p11(X1,f8(X2,X0))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ p11(X0,c18)
| p11(X0,f9(c12,c14)) ),
inference(resolution,[status(thm)],[c15,c6]) ).
cnf(d4,plain,
( ~ p11(X3,f9(X0,X1))
| p11(X3,f9(X0,X2))
| ~ p11(X1,X2)
| p2(X0,f3(c13)) ),
inference(resolution,[status(thm)],[c25,c15]) ).
cnf(d5,plain,
( ~ p11(X0,c18)
| ~ p11(c14,X1)
| p11(X0,f9(c12,X1))
| p2(c12,f3(c13)) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ p11(c14,X1)
| p11(X0,f9(c12,X1))
| ~ p11(X0,c18) ),
inference(resolution,[status(thm)],[c5,d5]) ).
cnf(d7,plain,
( ~ p11(c14,f8(c16,c14))
| ~ p11(c18,c18) ),
inference(resolution,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
~ p11(c14,f8(c16,c14)),
inference(resolution,[status(thm)],[c1,d7]) ).
cnf(d9,plain,
~ p2(c14,c14),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c0,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n004.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 18:14:58 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.28/7.54 % SZS status Unsatisfiable for theBenchmark.p
% 12.28/7.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------