%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:46:47 AM UTC 2026
% Result : Unsatisfiable 4.49s 1.94s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 7 unt; 5 nHn; 14 RR)
% Number of literals : 48 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
le(X0,X0) ).
cnf(sos_02,axiom,
( le(X0,X2)
| ~ le(max(X0,X1),X2) ) ).
cnf(sos_03,axiom,
( le(X1,X2)
| ~ le(max(X0,X1),X2) ) ).
cnf(sos_04,axiom,
( eq(f(X0),a1)
| eq(f(X0),a0) ) ).
cnf(sos_05,axiom,
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ) ).
cnf(sos_06,axiom,
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ) ).
cnf(c0,plain,
le(X0,X0),
inference(clausification,[status(esa)],[sos_01]) ).
cnf(c1,plain,
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
inference(clausification,[status(esa)],[sos_02]) ).
cnf(c2,plain,
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
inference(clausification,[status(esa)],[sos_03]) ).
cnf(c3,plain,
( eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(clausification,[status(esa)],[sos_04]) ).
cnf(c4,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(clausification,[status(esa)],[sos_05]) ).
cnf(c5,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
inference(clausification,[status(esa)],[sos_06]) ).
cnf(d0,plain,
le(X0,max(X0,X1)),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( eq(f(X0),a0)
| ~ eq(f(X1),a1)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(d2,plain,
( eq(f(X1),a0)
| eq(f(X0),a0)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( eq(f(X0),a0)
| eq(f(max(s(X0),X1)),a0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
le(X0,max(X1,X0)),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d5,plain,
( ~ eq(f(X1),a0)
| ~ le(s(X1),max(s(X0),X2))
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d6,plain,
( eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( eq(f(X1),a0)
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
eq(f(X0),a0),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[d8,c4]) ).
cnf(d10,plain,
~ le(s(X0),X1),
inference(resolution,[status(thm)],[d8,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n020.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 19:39:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.49/1.94 % SZS status Unsatisfiable for theBenchmark.p
% 4.49/1.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------