%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYO611-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 : Thu Sep 24 09:12:10 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
le(A,A),
file('theBenchmark.p',sos_01) ).
cnf(sos_03,axiom,
( le(B,C)
| ~ le(max(A,B),C) ),
file('theBenchmark.p',sos_03) ).
cnf(sos_04,axiom,
eq(f(A),a0),
file('theBenchmark.p',sos_04) ).
cnf(sos_05,axiom,
( ~ le(s(A0),A1)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
file('theBenchmark.p',sos_05) ).
cnf(t1,plain,
( ~ eq(f(max(U_53,s(U_52))),a0)
| ~ le(s(U_52),max(U_53,s(U_52)))
| ~ eq(f(U_52),a0) ),
inference(start,[status(thm),parent(0:0)],[sos_05]) ).
cnf(t2,plain,
eq(f(U_52),a0),
inference(extension,[status(thm),parent(t1:1)],[sos_04]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ le(max(U_53,s(U_52)),max(U_53,s(U_52)))
| le(s(U_52),max(U_53,s(U_52))) ),
inference(extension,[status(thm),parent(t1:2)],[sos_03]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
le(max(U_53,s(U_52)),max(U_53,s(U_52))),
inference(extension,[status(thm),parent(t4:2)],[sos_01]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
eq(f(max(U_53,s(U_52))),a0),
inference(extension,[status(thm),parent(t1:3)],[sos_04]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO611-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 07:42:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------