%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 09:12:11 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 43 ( 34 unt; 0 nHn; 28 RR)
% Number of literals : 74 ( 0 equ; 33 neg)
% Maximal clause size : 13 ( 1 avg)
% Maximal term depth : 14 ( 4 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 : 101 ( 30 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(A5),A6)
| ~ le(s(A4),A5)
| ~ le(s(A3),A4)
| ~ le(s(A2),A3)
| ~ le(s(A1),A2)
| ~ le(s(A0),A1)
| ~ eq(f(A6),a0)
| ~ eq(f(A5),a0)
| ~ eq(f(A4),a0)
| ~ eq(f(A3),a0)
| ~ eq(f(A2),a0)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
file('theBenchmark.p',sos_05) ).
cnf(t1,plain,
( ~ eq(f(max(U_117,s(U_96))),a0)
| ~ eq(f(max(U_113,s(max(U_117,s(U_96))))),a0)
| ~ eq(f(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))),a0)
| ~ eq(f(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))),a0)
| ~ eq(f(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))),a0)
| ~ eq(f(max(U_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))))),a0)
| ~ le(s(U_96),max(U_117,s(U_96)))
| ~ le(s(max(U_117,s(U_96))),max(U_113,s(max(U_117,s(U_96)))))
| ~ le(s(max(U_113,s(max(U_117,s(U_96))))),max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))
| ~ le(s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))),max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))
| ~ le(s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))),max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))))
| ~ le(s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))),max(U_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))))))
| ~ eq(f(U_96),a0) ),
inference(start,[status(thm),parent(0:0)],[sos_05]) ).
cnf(t2,plain,
eq(f(U_96),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_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))))),max(U_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))))))
| le(s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))),max(U_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))))) ),
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_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))))),max(U_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))))),
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,
( ~ le(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))),max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))))
| le(s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))),max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))) ),
inference(extension,[status(thm),parent(t1:3)],[sos_03]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:3]) ).
cnf(t10,plain,
le(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))),max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))),
inference(extension,[status(thm),parent(t8:2)],[sos_01]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ le(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))),max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))))
| le(s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))),max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))) ),
inference(extension,[status(thm),parent(t1:4)],[sos_03]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:4]) ).
cnf(t14,plain,
le(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))),max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))),
inference(extension,[status(thm),parent(t12:2)],[sos_01]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ le(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))),max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))))
| le(s(max(U_113,s(max(U_117,s(U_96))))),max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))) ),
inference(extension,[status(thm),parent(t1:5)],[sos_03]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:5]) ).
cnf(t18,plain,
le(max(U_109,s(max(U_113,s(max(U_117,s(U_96)))))),max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))),
inference(extension,[status(thm),parent(t16:2)],[sos_01]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ le(max(U_113,s(max(U_117,s(U_96)))),max(U_113,s(max(U_117,s(U_96)))))
| le(s(max(U_117,s(U_96))),max(U_113,s(max(U_117,s(U_96))))) ),
inference(extension,[status(thm),parent(t1:6)],[sos_03]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:6]) ).
cnf(t22,plain,
le(max(U_113,s(max(U_117,s(U_96)))),max(U_113,s(max(U_117,s(U_96))))),
inference(extension,[status(thm),parent(t20:2)],[sos_01]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ le(max(U_117,s(U_96)),max(U_117,s(U_96)))
| le(s(U_96),max(U_117,s(U_96))) ),
inference(extension,[status(thm),parent(t1:7)],[sos_03]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t1:7]) ).
cnf(t26,plain,
le(max(U_117,s(U_96)),max(U_117,s(U_96))),
inference(extension,[status(thm),parent(t24:2)],[sos_01]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
eq(f(max(U_97,s(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))))),a0),
inference(extension,[status(thm),parent(t1:8)],[sos_04]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t1:8]) ).
cnf(t30,plain,
eq(f(max(U_101,s(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))))),a0),
inference(extension,[status(thm),parent(t1:9)],[sos_04]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t1:9]) ).
cnf(t32,plain,
eq(f(max(U_105,s(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))))),a0),
inference(extension,[status(thm),parent(t1:10)],[sos_04]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t1:10]) ).
cnf(t34,plain,
eq(f(max(U_109,s(max(U_113,s(max(U_117,s(U_96))))))),a0),
inference(extension,[status(thm),parent(t1:11)],[sos_04]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t1:11]) ).
cnf(t36,plain,
eq(f(max(U_113,s(max(U_117,s(U_96))))),a0),
inference(extension,[status(thm),parent(t1:12)],[sos_04]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t1:12]) ).
cnf(t38,plain,
eq(f(max(U_117,s(U_96))),a0),
inference(extension,[status(thm),parent(t1:13)],[sos_04]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t1:13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO612-1 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 07:42:56 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------