%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN009-3 : 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 09:20:40 AM UTC 2026
% Result : Unsatisfiable 9.23s 6.52s
% Output : CNFRefutation 9.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 11 unt; 7 nHn; 25 RR)
% Number of literals : 56 ( 0 equ; 32 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 42 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ) ).
cnf(clause_2,negated_conjecture,
( ~ t(X0,X1,X2)
| ~ q(X0,X1,X2) ) ).
cnf(clause_3,negated_conjecture,
( ~ t(X0,X1,X2)
| ~ r(X0,X1,X2) ) ).
cnf(clause_6,negated_conjecture,
s(c) ).
cnf(clause_7,negated_conjecture,
~ v(X0,X1,X2) ).
cnf(clause_8,negated_conjecture,
u(c,c,c) ).
cnf(clause_9,negated_conjecture,
( r(X0,X1,X2)
| q(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ) ).
cnf(clause_10,negated_conjecture,
( v(X0,X1,X2)
| t(X0,X1,X2)
| ~ u(X0,X1,X2) ) ).
cnf(c0,plain,
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ t(X0,X1,X2)
| ~ q(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( ~ t(X0,X1,X2)
| ~ r(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c5,plain,
s(c),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
~ v(X0,X1,X2),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c7,plain,
u(c,c,c),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c8,plain,
( r(X1,X0,X2)
| ~ s(X2)
| p(X1,X0,X2)
| q(X1,X0,X2)
| ~ s(X1)
| ~ s(X0) ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c9,plain,
( v(X0,X1,X2)
| t(X0,X1,X2)
| ~ u(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(d0,plain,
( ~ u(X0,X1,X2)
| t(X0,X1,X2) ),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(d1,plain,
t(c,c,c),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( ~ t(X0,X1,X2)
| ~ s(X1)
| ~ s(X0)
| ~ s(X2)
| q(X0,X1,X2)
| p(X0,X1,X2) ),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(d3,plain,
( ~ s(c)
| ~ s(c)
| ~ s(c)
| q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( q(c,c,c)
| p(c,c,c) ),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
~ p(c,c,c),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d6,plain,
q(c,c,c),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
~ t(c,c,c),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d1,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n004.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Sat Sep 26 17:03:59 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.23/6.52 % SZS status Unsatisfiable for theBenchmark.p
% 9.23/6.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------