%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN583-1 : 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 : n011.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 14.25s 5.14s
% Output : CNFRefutation 14.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 13 unt; 0 nHn; 23 RR)
% Number of literals : 54 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X0,X0) ).
cnf(p5_3,negated_conjecture,
p5(X0,X0) ).
cnf(p2_5,negated_conjecture,
p2(c18,c14) ).
cnf(p11_8,negated_conjecture,
p11(f4(f6(c15,c14)),c16) ).
cnf(not_p11_9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X0,X1)
| p2(f4(X0),f4(X1)) ) ).
cnf(p2_18,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p11_21,negated_conjecture,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ) ).
cnf(p2_23,negated_conjecture,
( ~ p5(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ) ).
cnf(c1,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_2]) ).
cnf(c2,plain,
p5(X0,X0),
inference(clausification,[status(esa)],[p5_3]) ).
cnf(c4,plain,
p2(c18,c14),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c7,plain,
p11(f4(f6(c15,c14)),c16),
inference(clausification,[status(esa)],[p11_8]) ).
cnf(c8,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(clausification,[status(esa)],[not_p11_9]) ).
cnf(c13,plain,
( ~ p2(X0,X1)
| p2(f4(X0),f4(X1)) ),
inference(clausification,[status(esa)],[p2_14]) ).
cnf(c17,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_18]) ).
cnf(c20,plain,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_21]) ).
cnf(c22,plain,
( ~ p5(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
inference(clausification,[status(esa)],[p2_23]) ).
cnf(d0,plain,
( p11(X1,X0)
| ~ p2(f4(f6(c15,c14)),X1)
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[c20,c7]) ).
cnf(d1,plain,
( ~ p2(f6(c15,c14),X1)
| p11(f4(X1),X0)
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
( ~ p5(c15,X1)
| ~ p2(c14,X2)
| p11(f4(f6(X1,X2)),X0)
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[d1,c22]) ).
cnf(d3,plain,
( ~ p5(c15,c15)
| ~ p2(c16,c16)
| ~ p2(c14,c18) ),
inference(resolution,[status(thm)],[d2,c8]) ).
cnf(d4,plain,
( ~ p5(c15,c15)
| ~ p2(c14,c18) ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
~ p2(c14,c18),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( ~ p2(c18,X0)
| p2(c14,X0) ),
inference(resolution,[status(thm)],[c17,c4]) ).
cnf(d7,plain,
p2(c14,c18),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN583-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n011.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 18:15:00 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.25/5.14 % SZS status Unsatisfiable for theBenchmark.p
% 14.25/5.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------