TSTP Solution File: LCL096-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL096-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:47:57 EDT 2023
% Result : Unsatisfiable 9.82s 9.92s
% Output : CNFRefutation 9.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL096-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 19:41:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 9.82/9.91 %-------------------------------------------
% 9.82/9.91 % File :CSE---1.6
% 9.82/9.91 % Problem :theBenchmark
% 9.82/9.91 % Transform :cnf
% 9.82/9.91 % Format :tptp:raw
% 9.82/9.91 % Command :java -jar mcs_scs.jar %d %s
% 9.82/9.91
% 9.82/9.91 % Result :Theorem 9.280000s
% 9.82/9.91 % Output :CNFRefutation 9.280000s
% 9.82/9.91 %-------------------------------------------
% 9.82/9.91 %--------------------------------------------------------------------------
% 9.82/9.91 % File : LCL096-1 : TPTP v8.1.2. Released v1.0.0.
% 9.82/9.91 % Domain : Logic Calculi (Left group)
% 9.82/9.91 % Problem : LG-1 depends on LG-2, LG-3, LG-4
% 9.82/9.91 % Version : [McC92b] axioms : Reduced > Complete.
% 9.82/9.91 % English : Axiomatisations of the left group calculus are {LG-1,
% 9.82/9.91 % LG-2,LG-3,LG-4,LG-5} by Kalman, {LG-2,LG-3}, {LG-2,P-1},
% 9.82/9.91 % {LG-2,P-4}, {LG-2,Q-1,Q-2}, {P-1,Q-3}, {P-4,Q-3}, {Q-1,
% 9.82/9.91 % Q-2,Q-3}, {Q-1,Q-3,Q-4}, {LG-27-1690} all by McCune. Show
% 9.82/9.91 % that LG-1 depends on a part of the Kalman system.
% 9.82/9.91
% 9.82/9.91 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 9.82/9.91 % : [McC92a] McCune (1992), Automated Discovery of New Axiomatisat
% 9.82/9.91 % : [McC92b] McCune (1992), Email to G. Sutcliffe
% 9.82/9.91 % Source : [McC92b]
% 9.82/9.91 % Names : LG-89 [MW92]
% 9.82/9.91
% 9.82/9.91 % Status : Unsatisfiable
% 9.82/9.91 % Rating : 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.10 v5.2.0, 0.15 v5.1.0, 0.06 v5.0.0, 0.13 v4.1.0, 0.07 v4.0.1, 0.00 v2.2.1, 0.11 v2.1.0, 0.13 v2.0.0
% 9.82/9.92 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 9.82/9.92 % Number of literals : 7 ( 0 equ; 3 neg)
% 9.82/9.92 % Maximal clause size : 3 ( 1 avg)
% 9.82/9.92 % Maximal term depth : 7 ( 2 avg)
% 9.82/9.92 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 9.82/9.92 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 9.82/9.92 % Number of variables : 16 ( 0 sgn)
% 9.82/9.92 % SPC : CNF_UNS_RFO_NEQ_HRN
% 9.82/9.92
% 9.82/9.92 % Comments :
% 9.82/9.92 %--------------------------------------------------------------------------
% 9.82/9.92 cnf(condensed_detachment,axiom,
% 9.82/9.92 ( ~ is_a_theorem(equivalent(X,Y))
% 9.82/9.92 | ~ is_a_theorem(X)
% 9.82/9.92 | is_a_theorem(Y) ) ).
% 9.82/9.92
% 9.82/9.92 cnf(lg_2,axiom,
% 9.82/9.92 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) ).
% 9.82/9.92
% 9.82/9.92 cnf(lg_3,axiom,
% 9.82/9.92 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) ).
% 9.82/9.92
% 9.82/9.92 cnf(lg_4,axiom,
% 9.82/9.92 is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))) ).
% 9.82/9.92
% 9.82/9.92 cnf(prove_lg_1,negated_conjecture,
% 9.82/9.92 ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) ).
% 9.82/9.92
% 9.82/9.92 %--------------------------------------------------------------------------
% 9.82/9.92 %-------------------------------------------
% 9.82/9.92 % Proof found
% 9.82/9.92 % SZS status Theorem for theBenchmark
% 9.82/9.92 % SZS output start Proof
% 9.82/9.92 %ClaNum:5(EqnAxiom:0)
% 9.82/9.92 %VarNum:32(SingletonVarNum:16)
% 9.82/9.92 %MaxLitNum:3
% 9.82/9.92 %MaxfuncDepth:5
% 9.82/9.92 %SharedTerms:9
% 9.82/9.92 %goalClause: 4
% 9.82/9.92 %singleGoalClaCount:1
% 9.82/9.92 [4]~P1(f1(f1(f1(a2,f1(f1(a3,a3),a2)),a4),a4))
% 9.82/9.92 [2]P1(f1(f1(f1(f1(f1(x21,x22),f1(x21,x23)),f1(x22,x23)),x24),x24))
% 9.82/9.92 [1]P1(f1(f1(f1(f1(x11,x12),x13),x14),f1(f1(f1(x11,x15),x13),f1(f1(x12,x15),x14))))
% 9.82/9.92 [3]P1(f1(f1(f1(f1(f1(f1(x31,x32),f1(x31,x33)),x34),f1(f1(x32,x33),x34)),x35),x35))
% 9.82/9.92 [5]P1(x51)+~P1(x52)+~P1(f1(x52,x51))
% 9.82/9.92 %EqnAxiom
% 9.82/9.92
% 9.82/9.92 %-------------------------------------------
% 9.82/9.92 cnf(6,plain,
% 9.82/9.92 (P1(f1(f1(f1(f1(f1(x61,x62),f1(x61,x63)),x64),x65),f1(f1(f1(x62,x63),x64),x65)))),
% 9.82/9.92 inference(scs_inference,[],[2,1,5])).
% 9.82/9.93 cnf(8,plain,
% 9.82/9.93 (P1(f1(f1(f1(x81,x82),x83),f1(f1(f1(x84,x85),f1(x84,x82)),f1(f1(x81,x85),x83))))),
% 9.82/9.93 inference(scs_inference,[],[1,6,5])).
% 9.82/9.93 cnf(12,plain,
% 9.82/9.93 (P1(f1(f1(f1(x121,x122),f1(x121,x123)),f1(f1(f1(f1(f1(x124,x125),f1(x124,x126)),f1(x125,x126)),x122),x123)))),
% 9.82/9.93 inference(scs_inference,[],[2,8,5])).
% 9.82/9.93 cnf(15,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x151,x152),f1(x151,x153)),f1(x152,x153)),f1(f1(f1(f1(x154,x155),f1(x154,x156)),f1(x155,x156)),x157)),x157))),
% 9.82/9.93 inference(scs_inference,[],[12,2,5])).
% 9.82/9.93 cnf(19,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x191,x192),f1(x191,x193)),f1(x192,x193)),x194),f1(f1(x195,x195),x194)))),
% 9.82/9.93 inference(scs_inference,[],[1,12,5])).
% 9.82/9.93 cnf(23,plain,
% 9.82/9.93 (P1(f1(f1(f1(x231,x232),f1(f1(x233,x231),x234)),f1(f1(f1(f1(f1(x235,x236),f1(x235,x237)),f1(x236,x237)),f1(x233,x232)),x234)))),
% 9.82/9.93 inference(scs_inference,[],[12,6,5])).
% 9.82/9.93 cnf(27,plain,
% 9.82/9.93 (P1(f1(f1(x271,x271),f1(f1(f1(x272,x273),f1(x272,f1(x274,x275))),f1(f1(f1(x274,x276),x273),f1(x276,x275)))))),
% 9.82/9.93 inference(scs_inference,[],[19,8,5])).
% 9.82/9.93 cnf(31,plain,
% 9.82/9.93 (P1(f1(f1(f1(x311,x312),f1(x311,x313)),f1(f1(x314,x312),f1(x314,x313))))),
% 9.82/9.93 inference(scs_inference,[],[2,1,5])).
% 9.82/9.93 cnf(35,plain,
% 9.82/9.93 (P1(f1(f1(f1(x351,x352),f1(x351,f1(x353,x354))),f1(f1(f1(x353,x355),x352),f1(x355,x354))))),
% 9.82/9.93 inference(scs_inference,[],[27,31,5])).
% 9.82/9.93 cnf(39,plain,
% 9.82/9.93 (P1(f1(f1(f1(x391,x392),f1(x391,f1(x393,x394))),f1(f1(x395,x392),f1(f1(f1(x393,x396),x395),f1(x396,x394)))))),
% 9.82/9.93 inference(scs_inference,[],[1,35,5])).
% 9.82/9.93 cnf(43,plain,
% 9.82/9.93 (P1(f1(f1(x431,x432),f1(f1(f1(f1(x433,x433),x434),x431),f1(x434,x432))))),
% 9.82/9.93 inference(scs_inference,[],[1,39,5])).
% 9.82/9.93 cnf(47,plain,
% 9.82/9.93 (P1(f1(f1(f1(x471,x472),f1(x471,x473)),f1(f1(f1(f1(f1(x474,x475),f1(x474,x476)),f1(x475,x476)),x472),f1(f1(x477,x477),x473))))),
% 9.82/9.93 inference(scs_inference,[],[8,19,5])).
% 9.82/9.93 cnf(51,plain,
% 9.82/9.93 (P1(f1(f1(x511,f1(f1(f1(f1(x512,x513),f1(x512,x514)),f1(x513,x514)),f1(f1(f1(f1(x515,x516),f1(x515,x517)),f1(x516,x517)),x518))),f1(x511,x518)))),
% 9.82/9.93 inference(scs_inference,[],[15,31,5])).
% 9.82/9.93 cnf(55,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x551,x552),f1(x551,x553)),f1(x552,x553)),f1(f1(x554,x555),f1(x554,f1(x556,x557)))),f1(f1(f1(x556,x558),x555),f1(x558,x557))))),
% 9.82/9.93 inference(scs_inference,[],[23,27,5])).
% 9.82/9.93 cnf(59,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x591,x592),x593),x594),f1(f1(x595,x593),f1(x595,f1(x591,x596)))),f1(x594,f1(x592,x596))))),
% 9.82/9.93 inference(scs_inference,[],[35,27,5])).
% 9.82/9.93 cnf(63,plain,
% 9.82/9.93 (P1(f1(f1(x631,f1(f1(f1(f1(x632,x633),f1(x632,x634)),f1(x633,x634)),x635)),f1(f1(f1(f1(x636,x636),x637),x631),f1(x637,x635))))),
% 9.82/9.93 inference(scs_inference,[],[39,47,5])).
% 9.82/9.93 cnf(67,plain,
% 9.82/9.93 (P1(f1(f1(x671,f1(f1(f1(f1(x672,x673),f1(x672,x674)),f1(x673,x674)),f1(f1(f1(f1(x675,x676),f1(x675,x677)),f1(x676,x677)),f1(x678,x679)))),f1(f1(f1(x678,x6710),x671),f1(x6710,x679))))),
% 9.82/9.93 inference(scs_inference,[],[39,51,5])).
% 9.82/9.93 cnf(75,plain,
% 9.82/9.93 (P1(f1(f1(f1(x751,f1(f1(x752,x753),x754)),f1(x751,f1(f1(f1(x755,x752),f1(x755,x753)),x756))),f1(x754,x756)))),
% 9.82/9.93 inference(scs_inference,[],[59,3,5])).
% 9.82/9.93 cnf(83,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x831,x832),f1(x831,x833)),f1(x832,x833)),f1(f1(f1(x834,x834),x835),x836)),f1(x835,x836)))),
% 9.82/9.93 inference(scs_inference,[],[43,23,5])).
% 9.82/9.93 cnf(86,plain,
% 9.82/9.93 (P1(f1(f1(x861,x862),f1(x861,x862)))),
% 9.82/9.93 inference(scs_inference,[],[3,2,5])).
% 9.82/9.93 cnf(90,plain,
% 9.82/9.93 (P1(f1(f1(f1(x901,x902),f1(x901,x903)),f1(x902,x903)))),
% 9.82/9.93 inference(scs_inference,[],[1,55,5])).
% 9.82/9.93 cnf(94,plain,
% 9.82/9.93 (P1(f1(f1(f1(x941,x942),x943),f1(f1(f1(x944,x945),f1(x944,f1(x946,x942))),f1(f1(f1(x946,x941),x945),x943))))),
% 9.82/9.93 inference(scs_inference,[],[6,8,5])).
% 9.82/9.93 cnf(98,plain,
% 9.82/9.93 (~P1(f1(f1(x981,f1(f1(a2,f1(f1(a3,a3),a2)),a4)),f1(x981,a4)))),
% 9.82/9.93 inference(scs_inference,[],[90,4,5])).
% 9.82/9.93 cnf(101,plain,
% 9.82/9.93 (P1(f1(f1(x1011,x1011),f1(f1(f1(x1012,x1013),f1(x1012,x1014)),f1(x1013,x1014))))),
% 9.82/9.93 inference(scs_inference,[],[19,86,5])).
% 9.82/9.93 cnf(108,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x1081,x1082),f1(x1081,x1083)),f1(x1082,x1083)),f1(f1(x1084,x1085),f1(x1084,x1086))),f1(f1(x1087,x1087),f1(x1085,x1086))))),
% 9.82/9.93 inference(scs_inference,[],[35,47,5])).
% 9.82/9.93 cnf(112,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(x1121,x1121),x1122),f1(f1(f1(f1(x1123,x1124),f1(x1123,x1125)),f1(x1124,x1125)),x1126)),f1(x1122,x1126)))),
% 9.82/9.93 inference(scs_inference,[],[35,47,5])).
% 9.82/9.93 cnf(120,plain,
% 9.82/9.93 (~P1(f1(f1(f1(f1(x1201,x1202),f1(x1201,x1203)),f1(f1(a2,f1(f1(a3,a3),a2)),a4)),f1(f1(x1202,x1203),a4)))),
% 9.82/9.93 inference(scs_inference,[],[98,6,5])).
% 9.82/9.93 cnf(132,plain,
% 9.82/9.93 (P1(f1(f1(x1321,f1(x1322,f1(x1323,x1324))),f1(f1(f1(x1322,f1(x1323,x1325)),x1321),f1(x1325,x1324))))),
% 9.82/9.93 inference(scs_inference,[],[83,94,5])).
% 9.82/9.93 cnf(136,plain,
% 9.82/9.93 (P1(f1(f1(f1(x1361,f1(x1362,x1363)),f1(f1(f1(f1(x1364,x1365),f1(x1364,x1366)),f1(x1365,x1366)),f1(f1(f1(x1367,x1367),x1361),f1(x1362,x1368)))),f1(x1363,x1368)))),
% 9.82/9.93 inference(scs_inference,[],[83,132,5])).
% 9.82/9.93 cnf(142,plain,
% 9.82/9.93 (P1(f1(x1421,x1421))),
% 9.82/9.93 inference(scs_inference,[],[86,90,5])).
% 9.82/9.93 cnf(146,plain,
% 9.82/9.93 (P1(f1(f1(x1461,f1(f1(x1462,x1463),f1(x1462,x1464))),f1(f1(f1(x1463,x1465),x1461),f1(x1465,x1464))))),
% 9.82/9.93 inference(scs_inference,[],[101,39,5])).
% 9.82/9.93 cnf(150,plain,
% 9.82/9.93 (P1(f1(f1(x1501,x1501),f1(f1(f1(f1(f1(x1502,x1503),f1(x1502,x1504)),f1(x1503,x1504)),x1505),x1505)))),
% 9.82/9.93 inference(scs_inference,[],[112,108,5])).
% 9.82/9.93 cnf(154,plain,
% 9.82/9.93 (~P1(f1(f1(f1(a2,f1(f1(a3,a3),a2)),a4),f1(f1(x1541,f1(x1542,x1542)),f1(x1541,a4))))),
% 9.82/9.93 inference(scs_inference,[],[120,146,5])).
% 9.82/9.93 cnf(158,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(f1(f1(x1581,x1582),f1(x1581,x1583)),f1(x1582,x1583)),f1(x1584,x1585)),f1(x1584,x1586)),f1(x1587,x1587)),f1(x1586,x1585)))),
% 9.82/9.93 inference(scs_inference,[],[132,150,5])).
% 9.82/9.93 cnf(166,plain,
% 9.82/9.93 (~P1(f1(f1(x1661,x1661),f1(f1(f1(a2,f1(f1(a3,a3),a2)),a4),f1(f1(x1662,f1(x1663,x1663)),f1(x1662,a4)))))),
% 9.82/9.93 inference(scs_inference,[],[142,154,5])).
% 9.82/9.93 cnf(168,plain,
% 9.82/9.93 (P1(f1(f1(f1(x1681,x1682),f1(f1(x1683,x1681),f1(x1683,x1684))),f1(x1682,x1684)))),
% 9.82/9.93 inference(scs_inference,[],[142,146,5])).
% 9.82/9.93 cnf(177,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(x1771,f1(f1(x1772,x1773),f1(x1772,x1774))),f1(x1771,f1(x1773,x1774))),x1775),x1775))),
% 9.82/9.93 inference(scs_inference,[],[158,75,5])).
% 9.82/9.93 cnf(188,plain,
% 9.82/9.93 (~P1(f1(f1(f1(x1881,x1881),f1(f1(a2,f1(f1(a3,a3),a2)),a4)),f1(f1(x1882,f1(x1883,x1883)),f1(x1882,a4))))),
% 9.82/9.93 inference(scs_inference,[],[166,43,5])).
% 9.82/9.93 cnf(192,plain,
% 9.82/9.93 (P1(f1(f1(f1(x1921,f1(f1(x1922,f1(f1(x1923,x1924),f1(x1923,x1925))),f1(x1922,f1(x1924,x1925)))),f1(x1921,x1926)),x1926))),
% 9.82/9.93 inference(scs_inference,[],[168,177,5])).
% 9.82/9.93 cnf(196,plain,
% 9.82/9.93 (P1(f1(f1(x1961,f1(f1(f1(x1962,f1(f1(x1963,x1964),f1(x1963,x1965))),f1(x1962,f1(x1964,x1965))),f1(x1966,x1967))),f1(f1(f1(x1966,x1968),x1961),f1(x1968,x1967))))),
% 9.82/9.93 inference(scs_inference,[],[177,39,5])).
% 9.82/9.93 cnf(204,plain,
% 9.82/9.93 (~P1(f1(f1(f1(a2,f1(f1(a3,a3),a2)),a4),f1(f1(f1(f1(x2041,x2042),f1(x2041,x2043)),f1(x2042,x2043)),f1(f1(x2044,x2044),a4))))),
% 9.82/9.93 inference(scs_inference,[],[188,63,5])).
% 9.82/9.93 cnf(208,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x2081,x2082),f1(x2081,x2083)),x2084),f1(x2085,x2085)),f1(x2084,f1(x2082,x2083))))),
% 9.82/9.93 inference(scs_inference,[],[196,101,5])).
% 9.82/9.93 cnf(212,plain,
% 9.82/9.93 (~P1(f1(f1(f1(a2,f1(f1(x2121,f1(a3,a3)),f1(x2121,a2))),a4),f1(f1(x2122,x2122),a4)))),
% 9.82/9.93 inference(scs_inference,[],[204,1,5])).
% 9.82/9.93 cnf(216,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(x2161,x2161),f1(x2162,f1(f1(f1(x2163,x2164),f1(x2163,x2165)),f1(x2164,x2165)))),f1(x2162,x2166)),x2166))),
% 9.82/9.93 inference(scs_inference,[],[2,136,5])).
% 9.82/9.93 cnf(220,plain,
% 9.82/9.93 (~P1(f1(f1(f1(f1(x2201,f1(x2202,x2202)),f1(x2201,a4)),f1(f1(a2,f1(f1(x2203,f1(a3,a3)),f1(x2203,a2))),a4)),f1(x2204,x2204)))),
% 9.82/9.93 inference(scs_inference,[],[212,208,5])).
% 9.82/9.93 cnf(231,plain,
% 9.82/9.93 (P1(f1(f1(x2311,x2312),f1(f1(f1(x2313,x2312),f1(x2313,x2311)),f1(f1(f1(x2314,x2315),f1(x2314,x2316)),f1(x2315,x2316)))))),
% 9.82/9.93 inference(scs_inference,[],[8,216,5])).
% 9.82/9.93 cnf(235,plain,
% 9.82/9.93 (P1(f1(f1(f1(x2351,x2352),f1(f1(x2353,x2351),x2354)),f1(f1(x2353,x2352),x2354)))),
% 9.82/9.93 inference(scs_inference,[],[2,6,5])).
% 9.82/9.93 cnf(243,plain,
% 9.82/9.93 (P1(f1(f1(f1(x2431,x2432),f1(f1(f1(f1(x2433,f1(x2434,x2435)),f1(x2433,f1(x2434,x2436))),f1(x2435,x2436)),f1(f1(f1(f1(x2437,x2438),f1(x2437,x2439)),f1(x2438,x2439)),f1(x2431,x24310)))),f1(x2432,x24310)))),
% 9.82/9.93 inference(scs_inference,[],[6,67,5])).
% 9.82/9.93 cnf(270,plain,
% 9.82/9.93 (P1(f1(f1(f1(x2701,f1(f1(f1(x2702,x2703),f1(x2702,x2704)),f1(x2703,x2704))),f1(x2701,f1(x2705,x2705))),f1(f1(f1(x2706,x2707),f1(x2706,x2708)),f1(x2707,x2708))))),
% 9.82/9.93 inference(scs_inference,[],[101,231,5])).
% 9.82/9.93 cnf(277,plain,
% 9.82/9.93 (~P1(f1(f1(f1(a2,f1(f1(x2771,f1(a3,a3)),f1(x2771,a2))),a4),f1(f1(x2772,f1(x2773,x2773)),f1(x2772,a4))))),
% 9.82/9.93 inference(scs_inference,[],[132,220,5])).
% 9.82/9.93 cnf(421,plain,
% 9.82/9.93 (P1(f1(f1(f1(x4211,f1(f1(f1(x4212,x4213),f1(x4212,x4214)),f1(x4213,x4215))),f1(x4211,f1(f1(x4215,x4214),x4216))),x4216))),
% 9.82/9.93 inference(scs_inference,[],[243,146,5])).
% 9.82/9.93 cnf(448,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(f1(x4481,x4482),f1(x4481,x4483)),f1(x4482,x4483)),f1(f1(f1(f1(x4484,x4485),f1(x4484,x4486)),x4487),f1(x4488,x4488))),f1(x4487,f1(x4485,x4486))))),
% 9.82/9.93 inference(scs_inference,[],[12,270,5])).
% 9.82/9.93 cnf(464,plain,
% 9.82/9.93 (P1(f1(f1(f1(x4641,f1(f1(f1(f1(x4642,x4642),x4643),x4644),f1(x4643,x4645))),f1(x4641,f1(x4644,x4645))),f1(f1(f1(x4646,x4647),f1(x4646,x4648)),f1(x4647,x4648))))),
% 9.82/9.93 inference(scs_inference,[],[43,231,5])).
% 9.82/9.93 cnf(475,plain,
% 9.82/9.93 (P1(f1(x4751,f1(f1(x4752,x4752),x4751)))),
% 9.82/9.93 inference(scs_inference,[],[421,464,5])).
% 9.82/9.93 cnf(497,plain,
% 9.82/9.93 (P1(f1(f1(x4971,f1(x4972,x4972)),f1(x4971,f1(f1(f1(x4973,x4974),f1(x4973,x4975)),f1(x4974,x4975)))))),
% 9.82/9.93 inference(scs_inference,[],[136,448,5])).
% 9.82/9.93 cnf(553,plain,
% 9.82/9.93 (~P1(f1(f1(x5531,a4),f1(f1(f1(a2,f1(f1(x5532,f1(a3,a3)),f1(x5532,a2))),x5531),f1(f1(x5533,f1(x5534,x5534)),f1(x5533,a4)))))),
% 9.82/9.93 inference(scs_inference,[],[277,235,5])).
% 9.82/9.93 cnf(640,plain,
% 9.82/9.93 (P1(f1(f1(f1(x6401,f1(f1(x6402,x6402),x6403)),f1(x6401,x6403)),f1(f1(f1(x6404,x6405),f1(x6404,x6406)),f1(x6405,x6406))))),
% 9.82/9.93 inference(scs_inference,[],[475,231,5])).
% 9.82/9.93 cnf(677,plain,
% 9.82/9.93 (~P1(f1(f1(f1(a2,f1(f1(a2,f1(a3,a3)),a4)),a4),f1(x6771,x6771)))),
% 9.82/9.93 inference(scs_inference,[],[553,497,5])).
% 9.82/9.93 cnf(715,plain,
% 9.82/9.93 (P1(f1(f1(f1(x7151,x7152),f1(x7151,x7153)),f1(f1(x7154,x7154),f1(x7152,x7153))))),
% 9.82/9.93 inference(scs_inference,[],[640,192,5])).
% 9.82/9.93 cnf(724,plain,
% 9.82/9.93 (P1(f1(f1(x7241,x7241),f1(f1(f1(f1(x7242,x7242),x7243),x7244),f1(x7243,x7244))))),
% 9.82/9.93 inference(scs_inference,[],[640,715,5])).
% 9.82/9.93 cnf(728,plain,
% 9.82/9.93 (P1(f1(f1(f1(f1(x7281,x7281),x7282),x7283),f1(x7282,x7283)))),
% 9.82/9.93 inference(scs_inference,[],[724,715,5])).
% 9.82/9.93 cnf(750,plain,
% 9.82/9.93 (~P1(f1(f1(x7501,a4),f1(f1(f1(a2,f1(f1(a2,f1(a3,a3)),a4)),x7501),f1(x7502,x7502))))),
% 9.82/9.93 inference(scs_inference,[],[677,235,5])).
% 9.82/9.93 cnf(799,plain,
% 9.82/9.93 (~P1(f1(f1(f1(x7991,x7991),f1(x7992,a4)),f1(f1(f1(a2,f1(f1(a2,f1(a3,a3)),a4)),x7992),f1(x7993,x7993))))),
% 9.82/9.93 inference(scs_inference,[],[750,728,5])).
% 9.82/9.93 cnf(850,plain,
% 9.82/9.93 ($false),
% 9.82/9.93 inference(scs_inference,[],[1,799,728,5]),
% 9.82/9.93 ['proof']).
% 9.82/9.93 % SZS output end Proof
% 9.82/9.93 % Total time :9.280000s
%------------------------------------------------------------------------------