TSTP Solution File: LCL108-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL108-1 : 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 : n019.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 06:47:59 EDT 2023
% Result : Unsatisfiable 8.43s 8.53s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL108-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 04:58:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 8.43/8.52 %-------------------------------------------
% 8.43/8.52 % File :CSE---1.6
% 8.43/8.52 % Problem :theBenchmark
% 8.43/8.52 % Transform :cnf
% 8.43/8.52 % Format :tptp:raw
% 8.43/8.52 % Command :java -jar mcs_scs.jar %d %s
% 8.43/8.52
% 8.43/8.52 % Result :Theorem 7.890000s
% 8.43/8.52 % Output :CNFRefutation 7.890000s
% 8.43/8.52 %-------------------------------------------
% 8.43/8.53 %--------------------------------------------------------------------------
% 8.43/8.53 % File : LCL108-1 : TPTP v8.1.2. Released v1.0.0.
% 8.43/8.53 % Domain : Logic Calculi (Left group)
% 8.43/8.53 % Problem : Q-3 depends on the single McCune axiom
% 8.43/8.53 % Version : [McC92b] axioms.
% 8.43/8.53 % English : Axiomatisations of the left group calculus are {LG-1,
% 8.43/8.53 % LG-2,LG-3,LG-4,LG-5} by Kalman, {LG-2,LG-3}, {LG-2,P-1},
% 8.43/8.53 % {LG-2,P-4}, {LG-2,Q-1,Q-2}, {P-1,Q-3}, {P-4,Q-3}, {Q-1,
% 8.43/8.53 % Q-2,Q-3}, {Q-1,Q-3,Q-4}, {LG-27-1690} all by McCune. Show
% 8.43/8.53 % that Q-3 depends on the single McCune axiom.
% 8.43/8.53
% 8.43/8.53 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 8.43/8.53 % : [McC92a] McCune (1992), Automated Discovery of New Axiomatisat
% 8.43/8.53 % : [McC92b] McCune (1992), Email to G. Sutcliffe
% 8.43/8.53 % Source : [McC92b]
% 8.43/8.53 % Names : LG-101 [MW92]
% 8.43/8.53
% 8.43/8.53 % Status : Unsatisfiable
% 8.43/8.53 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.2.1, 0.11 v2.1.0, 0.25 v2.0.0
% 8.43/8.53 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 8.43/8.53 % Number of literals : 5 ( 0 equ; 3 neg)
% 8.43/8.53 % Maximal clause size : 3 ( 1 avg)
% 8.43/8.53 % Maximal term depth : 7 ( 2 avg)
% 8.43/8.53 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 8.43/8.53 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 8.43/8.53 % Number of variables : 9 ( 0 sgn)
% 8.43/8.53 % SPC : CNF_UNS_RFO_NEQ_HRN
% 8.43/8.53
% 8.43/8.53 % Comments :
% 8.43/8.53 %--------------------------------------------------------------------------
% 8.43/8.53 cnf(condensed_detachment,axiom,
% 8.43/8.53 ( ~ is_a_theorem(equivalent(X,Y))
% 8.43/8.53 | ~ is_a_theorem(X)
% 8.43/8.53 | is_a_theorem(Y) ) ).
% 8.43/8.53
% 8.43/8.53 cnf(lg_27_1690,axiom,
% 8.43/8.53 is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(Z,equivalent(equivalent(Y,X),V6)))) ).
% 8.43/8.53
% 8.43/8.53 cnf(prove_q_3,negated_conjecture,
% 8.43/8.53 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)) ).
% 8.43/8.53
% 8.43/8.53 %--------------------------------------------------------------------------
% 8.43/8.53 %-------------------------------------------
% 8.43/8.53 % Proof found
% 8.43/8.53 % SZS status Theorem for theBenchmark
% 8.43/8.53 % SZS output start Proof
% 8.43/8.53 %ClaNum:3(EqnAxiom:0)
% 8.43/8.53 %VarNum:18(SingletonVarNum:9)
% 8.43/8.53 %MaxLitNum:3
% 8.43/8.53 %MaxfuncDepth:4
% 8.43/8.53 %SharedTerms:9
% 8.43/8.53 %goalClause: 2
% 8.43/8.53 %singleGoalClaCount:1
% 8.43/8.53 [2]~P1(f1(f1(f1(a2,a3),f1(f1(a3,a2),a4)),a4))
% 8.43/8.53 [1]P1(f1(f1(f1(f1(x11,x12),x13),f1(f1(x14,x15),f1(f1(f1(x16,x15),f1(x16,x14)),x17))),f1(x13,f1(f1(x12,x11),x17))))
% 8.43/8.53 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 8.43/8.53 %EqnAxiom
% 8.43/8.53
% 8.43/8.53 %-------------------------------------------
% 8.43/8.54 cnf(4,plain,
% 8.43/8.54 (P1(f1(x41,f1(f1(x42,x43),x44)))+~P1(f1(f1(f1(x43,x42),x41),f1(f1(x45,x46),f1(f1(f1(x47,x46),f1(x47,x45)),x44))))),
% 8.43/8.54 inference(scs_inference,[],[1,3])).
% 8.43/8.54 cnf(5,plain,
% 8.43/8.54 (P1(f1(f1(f1(x51,x52),f1(f1(f1(x53,x52),f1(x53,x51)),x54)),f1(f1(f1(x55,x56),f1(f1(x57,x55),f1(x57,x56))),x54)))),
% 8.43/8.54 inference(scs_inference,[],[1,4])).
% 8.43/8.54 cnf(6,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x61,x62),x63),f1(f1(x64,x65),f1(f1(f1(x66,x65),f1(x66,x64)),x67))),f1(x63,f1(f1(x62,x61),x67))))),
% 8.43/8.54 inference(rename_variables,[],[1])).
% 8.43/8.54 cnf(7,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x71,x72),f1(x71,x73)),f1(f1(f1(x74,f1(f1(x75,x76),f1(x75,x77))),f1(x74,f1(x76,x77))),x78)),f1(f1(x72,x73),x78)))),
% 8.43/8.54 inference(scs_inference,[],[1,6,4,3])).
% 8.43/8.54 cnf(10,plain,
% 8.43/8.54 (P1(f1(f1(f1(x101,x102),f1(f1(x103,x101),f1(x103,x102))),x104))+~P1(f1(f1(x105,x106),f1(f1(f1(x107,x106),f1(x107,x105)),x104)))),
% 8.43/8.54 inference(scs_inference,[],[5,3])).
% 8.43/8.54 cnf(14,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x141,f1(f1(x142,x143),f1(x142,x144))),f1(x141,f1(x143,x144))),f1(f1(f1(x145,x146),f1(x145,x147)),x148)),f1(f1(f1(x149,x146),f1(x149,x147)),x148)))),
% 8.43/8.54 inference(scs_inference,[],[7,1,3])).
% 8.43/8.54 cnf(19,plain,
% 8.43/8.54 (P1(f1(f1(f1(x191,f1(x192,x193)),f1(x191,x194)),f1(f1(f1(x195,x192),f1(x195,x193)),x194)))),
% 8.43/8.54 inference(scs_inference,[],[7,14,3])).
% 8.43/8.54 cnf(24,plain,
% 8.43/8.54 (P1(f1(f1(x241,f1(f1(f1(x242,f1(x243,x244)),f1(x242,f1(x243,x245))),x246)),f1(f1(f1(x245,x244),x241),x246)))),
% 8.43/8.54 inference(scs_inference,[],[19,4])).
% 8.43/8.54 cnf(25,plain,
% 8.43/8.54 (P1(f1(f1(f1(x251,f1(x252,x253)),f1(x251,x254)),f1(f1(f1(x255,x252),f1(x255,x253)),x254)))),
% 8.43/8.54 inference(rename_variables,[],[19])).
% 8.43/8.54 cnf(27,plain,
% 8.43/8.54 (P1(f1(f1(f1(x271,f1(x272,x273)),f1(x271,f1(x272,x274))),f1(x273,x274)))),
% 8.43/8.54 inference(scs_inference,[],[14,19,25,4,3])).
% 8.43/8.54 cnf(32,plain,
% 8.43/8.54 (P1(f1(f1(f1(x321,f1(f1(x322,f1(f1(x323,x324),f1(x323,x325))),f1(x322,f1(x324,x325)))),f1(x321,x326)),x326))),
% 8.43/8.54 inference(scs_inference,[],[14,19,3])).
% 8.43/8.54 cnf(36,plain,
% 8.43/8.54 (~P1(f1(f1(f1(a3,a2),a4),f1(f1(f1(x361,f1(x362,a3)),f1(x361,f1(x362,a2))),a4)))),
% 8.43/8.54 inference(scs_inference,[],[24,2,3])).
% 8.43/8.54 cnf(42,plain,
% 8.43/8.54 (P1(f1(f1(f1(x421,x422),f1(x421,x423)),f1(x422,x423)))),
% 8.43/8.54 inference(scs_inference,[],[32,14,3])).
% 8.43/8.54 cnf(46,plain,
% 8.43/8.54 (P1(f1(f1(x461,f1(f1(f1(x462,x463),f1(x462,x464)),x465)),f1(f1(f1(x464,x463),x461),x465)))),
% 8.43/8.54 inference(scs_inference,[],[42,4])).
% 8.43/8.54 cnf(55,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x551,x552),f1(x551,x553)),f1(f1(f1(x554,f1(x555,x556)),f1(x554,f1(x553,x552))),x557)),f1(f1(x556,x555),x557)))),
% 8.43/8.54 inference(scs_inference,[],[46,4])).
% 8.43/8.54 cnf(70,plain,
% 8.43/8.54 (~P1(f1(f1(x701,f1(f1(a2,a3),f1(f1(a3,a2),a4))),f1(x701,a4)))),
% 8.43/8.54 inference(scs_inference,[],[2,42,3])).
% 8.43/8.54 cnf(100,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1001,x1002),f1(f1(x1003,x1001),f1(x1003,x1004))),f1(x1002,x1004)))),
% 8.43/8.54 inference(scs_inference,[],[5,32,3])).
% 8.43/8.54 cnf(105,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1051,x1052),f1(f1(x1053,f1(f1(x1054,x1052),f1(x1054,x1051))),f1(f1(x1055,x1053),f1(x1055,x1056)))),x1056))),
% 8.43/8.54 inference(scs_inference,[],[46,100,3])).
% 8.43/8.54 cnf(107,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1071,x1072),f1(f1(x1073,x1071),f1(x1073,x1074))),f1(x1072,x1074)))),
% 8.43/8.54 inference(rename_variables,[],[100])).
% 8.43/8.54 cnf(109,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1091,x1092),f1(x1091,f1(f1(f1(x1093,x1094),f1(x1093,x1095)),x1096))),f1(f1(f1(x1095,x1094),x1092),x1096)))),
% 8.43/8.54 inference(scs_inference,[],[46,100,107,3,4])).
% 8.43/8.54 cnf(118,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1181,f1(x1182,x1183)),f1(f1(f1(x1184,f1(f1(x1185,x1182),f1(x1185,x1183))),f1(x1184,x1181)),x1186)),x1186))),
% 8.43/8.54 inference(scs_inference,[],[109,7,3])).
% 8.43/8.54 cnf(123,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x1231,f1(f1(x1232,x1233),f1(x1232,x1234))),f1(x1231,f1(x1233,x1234))),x1235),x1235))),
% 8.43/8.54 inference(scs_inference,[],[55,27,3])).
% 8.43/8.54 cnf(133,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x1331,f1(f1(x1332,x1333),f1(x1332,x1334))),f1(x1331,x1335)),f1(f1(x1336,f1(x1335,f1(x1333,x1334))),f1(x1336,x1337))),x1337))),
% 8.43/8.54 inference(scs_inference,[],[118,100,3])).
% 8.43/8.54 cnf(138,plain,
% 8.43/8.54 (P1(f1(x1381,x1381))),
% 8.43/8.54 inference(scs_inference,[],[133,109,3])).
% 8.43/8.54 cnf(146,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x1461,x1462),f1(x1461,x1463)),x1464),f1(f1(x1462,x1463),x1464)))),
% 8.43/8.54 inference(scs_inference,[],[70,138,118,3,4])).
% 8.43/8.54 cnf(149,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1491,f1(x1492,x1493)),x1494),f1(f1(x1491,f1(f1(x1495,x1492),f1(x1495,x1493))),x1494)))),
% 8.43/8.54 inference(scs_inference,[],[146,123,3])).
% 8.43/8.54 cnf(154,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1541,f1(x1542,x1542)),f1(x1541,x1543)),x1543))),
% 8.43/8.54 inference(scs_inference,[],[133,146,3])).
% 8.43/8.54 cnf(159,plain,
% 8.43/8.54 (P1(f1(f1(x1591,f1(f1(x1592,x1593),f1(x1592,x1594))),f1(x1591,f1(x1593,x1594))))),
% 8.43/8.54 inference(scs_inference,[],[138,123,3])).
% 8.43/8.54 cnf(164,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1641,x1642),x1643),f1(f1(x1644,f1(f1(x1645,x1641),f1(x1645,x1642))),f1(x1644,x1643))))),
% 8.43/8.54 inference(scs_inference,[],[149,146,3])).
% 8.43/8.54 cnf(168,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1681,x1682),f1(f1(x1683,x1681),f1(x1683,x1682))),f1(f1(f1(x1684,x1684),x1685),x1685)))),
% 8.43/8.54 inference(scs_inference,[],[149,146,3,10])).
% 8.43/8.54 cnf(170,plain,
% 8.43/8.54 (P1(f1(f1(x1701,f1(f1(x1702,x1703),f1(f1(f1(x1704,x1703),f1(x1704,x1702)),x1705))),f1(f1(f1(x1706,x1706),x1701),x1705)))),
% 8.43/8.54 inference(scs_inference,[],[149,154,146,3,10,4])).
% 8.43/8.54 cnf(174,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1741,x1742),f1(f1(x1743,f1(x1744,x1741)),f1(x1743,f1(x1744,x1742)))),f1(f1(f1(x1745,x1745),x1746),x1746)))),
% 8.43/8.54 inference(scs_inference,[],[168,149,3])).
% 8.43/8.54 cnf(178,plain,
% 8.43/8.54 (P1(f1(f1(x1781,f1(f1(x1782,x1783),f1(f1(f1(x1784,x1783),f1(x1784,x1782)),f1(f1(x1785,x1785),x1786)))),f1(x1781,x1786)))),
% 8.43/8.54 inference(scs_inference,[],[170,159,3])).
% 8.43/8.54 cnf(182,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1821,f1(x1822,f1(x1823,x1824))),f1(x1821,f1(x1822,f1(x1823,x1825)))),f1(x1824,x1825)))),
% 8.43/8.54 inference(scs_inference,[],[174,118,3])).
% 8.43/8.54 cnf(187,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1871,f1(f1(x1872,x1873),f1(x1872,x1874))),f1(x1871,x1875)),f1(f1(x1873,x1874),x1875)))),
% 8.43/8.54 inference(scs_inference,[],[159,4])).
% 8.43/8.54 cnf(190,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1901,x1901),f1(f1(x1902,x1903),f1(f1(f1(x1904,x1903),f1(x1904,x1902)),x1905))),x1905))),
% 8.43/8.54 inference(scs_inference,[],[178,182,159,4,3])).
% 8.43/8.54 cnf(194,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1941,x1942),f1(f1(x1943,x1941),f1(x1943,x1942))),f1(f1(f1(x1944,x1945),f1(x1944,x1946)),f1(x1945,x1946))))),
% 8.43/8.54 inference(scs_inference,[],[178,182,168,159,4,3,10])).
% 8.43/8.54 cnf(198,plain,
% 8.43/8.54 (P1(f1(f1(f1(x1981,x1982),f1(f1(f1(x1983,x1982),f1(x1983,x1981)),f1(f1(x1984,f1(x1985,x1985)),f1(x1984,x1986)))),x1986))),
% 8.43/8.54 inference(scs_inference,[],[100,190,3])).
% 8.43/8.54 cnf(216,plain,
% 8.43/8.54 (P1(f1(f1(x2161,f1(f1(f1(x2162,x2163),f1(x2162,x2164)),x2165)),f1(f1(f1(f1(x2166,x2164),f1(x2166,x2163)),x2161),x2165)))),
% 8.43/8.54 inference(scs_inference,[],[105,187,42,3,4])).
% 8.43/8.54 cnf(220,plain,
% 8.43/8.54 (P1(f1(f1(f1(x2201,f1(x2202,x2203)),f1(x2201,f1(f1(x2204,f1(f1(x2205,x2203),f1(x2205,x2202))),f1(x2204,x2206)))),x2206))),
% 8.43/8.54 inference(scs_inference,[],[170,14,3])).
% 8.43/8.54 cnf(234,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x2341,x2342),f1(x2341,x2343)),f1(f1(f1(x2344,x2343),f1(x2344,x2342)),f1(f1(x2345,x2346),f1(x2345,x2347)))),f1(x2346,x2347)))),
% 8.43/8.54 inference(scs_inference,[],[216,123,3])).
% 8.43/8.54 cnf(238,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x2381,x2382),f1(x2381,x2383)),x2384),f1(f1(f1(x2385,x2382),f1(x2385,x2383)),x2384)))),
% 8.43/8.54 inference(scs_inference,[],[216,123,146,3,4])).
% 8.43/8.54 cnf(242,plain,
% 8.43/8.54 (P1(f1(f1(f1(x2421,x2421),x2422),x2422))),
% 8.43/8.54 inference(scs_inference,[],[234,149,3])).
% 8.43/8.54 cnf(259,plain,
% 8.43/8.54 (P1(f1(f1(f1(x2591,x2592),f1(f1(f1(x2593,x2592),f1(x2593,x2591)),x2594)),f1(f1(x2595,x2595),x2594)))),
% 8.43/8.54 inference(scs_inference,[],[242,4])).
% 8.43/8.54 cnf(272,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x2721,f1(x2722,x2723)),f1(x2721,f1(x2722,x2724))),x2725),f1(f1(f1(x2726,x2723),f1(x2726,x2724)),x2725)))),
% 8.43/8.54 inference(scs_inference,[],[238,4])).
% 8.43/8.54 cnf(285,plain,
% 8.43/8.54 (P1(f1(f1(f1(f1(x2851,x2852),f1(x2851,x2853)),f1(f1(f1(x2854,x2855),f1(x2854,x2855)),x2856)),f1(f1(x2852,x2853),x2856)))),
% 8.43/8.54 inference(scs_inference,[],[259,4])).
% 8.43/8.54 cnf(295,plain,
% 8.43/8.55 (P1(f1(f1(f1(f1(x2951,x2952),f1(x2951,x2952)),f1(f1(f1(x2953,x2954),f1(x2953,x2955)),x2956)),f1(f1(f1(x2957,x2954),f1(x2957,x2955)),x2956)))),
% 8.43/8.55 inference(scs_inference,[],[285,4])).
% 8.43/8.55 cnf(309,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3091,x3092),x3093),f1(f1(f1(x3094,x3091),f1(x3094,x3092)),x3093)))),
% 8.43/8.55 inference(scs_inference,[],[159,164,3])).
% 8.43/8.55 cnf(313,plain,
% 8.43/8.55 (P1(f1(f1(x3131,f1(f1(x3132,x3133),f1(x3132,f1(f1(x3134,x3135),f1(x3134,x3136))))),f1(x3131,f1(x3133,f1(x3135,x3136)))))),
% 8.43/8.55 inference(scs_inference,[],[159,164,3])).
% 8.43/8.55 cnf(316,plain,
% 8.43/8.55 (P1(f1(f1(f1(f1(x3161,f1(x3162,x3163)),f1(x3161,f1(x3162,x3164))),x3165),f1(f1(x3163,x3164),x3165)))),
% 8.43/8.55 inference(scs_inference,[],[159,164,309,3,4])).
% 8.43/8.55 cnf(320,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3201,x3202),f1(x3201,x3203)),f1(f1(x3204,f1(f1(x3205,x3206),f1(x3205,f1(x3207,x3202)))),f1(x3204,f1(x3206,f1(x3207,x3203))))))),
% 8.43/8.55 inference(scs_inference,[],[164,272,3])).
% 8.43/8.55 cnf(325,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3251,x3252),f1(f1(x3253,x3254),f1(x3253,x3255))),f1(f1(f1(x3256,x3251),f1(x3256,x3252)),f1(x3254,x3255))))),
% 8.43/8.55 inference(scs_inference,[],[164,313,3])).
% 8.43/8.55 cnf(334,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3341,f1(x3342,x3343)),f1(x3341,f1(f1(x3344,x3342),f1(x3344,x3343)))),f1(f1(f1(x3345,x3345),x3346),x3346)))),
% 8.43/8.55 inference(scs_inference,[],[168,325,3])).
% 8.43/8.55 cnf(351,plain,
% 8.43/8.55 (P1(f1(f1(f1(f1(x3511,x3512),f1(x3511,x3513)),f1(f1(x3514,x3515),f1(f1(x3516,f1(x3517,x3514)),f1(x3516,f1(x3517,x3515))))),f1(x3513,x3512)))),
% 8.43/8.55 inference(scs_inference,[],[174,216,3])).
% 8.43/8.55 cnf(368,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3681,x3682),f1(x3681,x3683)),f1(f1(x3684,x3682),f1(x3684,x3683))))),
% 8.43/8.55 inference(scs_inference,[],[182,295,3])).
% 8.43/8.55 cnf(381,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3811,f1(f1(x3812,f1(x3813,x3814)),f1(x3812,f1(x3813,x3815)))),f1(x3811,x3816)),f1(f1(x3814,x3815),x3816)))),
% 8.43/8.55 inference(scs_inference,[],[182,351,325,3,4])).
% 8.43/8.55 cnf(389,plain,
% 8.43/8.55 (P1(f1(f1(x3891,f1(f1(f1(f1(x3892,f1(f1(x3893,x3894),f1(x3893,x3895))),f1(x3892,x3891)),f1(x3895,x3894)),x3896)),x3896))),
% 8.43/8.55 inference(scs_inference,[],[220,381,3])).
% 8.43/8.55 cnf(393,plain,
% 8.43/8.55 (P1(f1(f1(f1(x3931,f1(f1(x3932,f1(x3933,f1(x3934,x3935))),f1(x3932,f1(x3933,x3936)))),f1(x3931,f1(f1(x3937,x3935),f1(x3937,x3938)))),f1(x3936,f1(x3934,x3938))))),
% 8.43/8.55 inference(scs_inference,[],[320,389,3])).
% 8.43/8.55 cnf(405,plain,
% 8.43/8.55 (P1(f1(f1(x4051,f1(f1(x4052,f1(x4053,x4054)),f1(x4052,f1(x4053,x4055)))),f1(x4051,f1(x4054,x4055))))),
% 8.43/8.55 inference(scs_inference,[],[194,368,3])).
% 8.43/8.55 cnf(423,plain,
% 8.43/8.55 (P1(f1(f1(f1(x4231,f1(x4232,f1(f1(x4233,x4234),f1(x4233,x4235)))),f1(x4231,f1(x4232,x4236))),f1(f1(x4234,x4235),x4236)))),
% 8.43/8.55 inference(scs_inference,[],[198,393,405,3,4])).
% 8.43/8.55 cnf(674,plain,
% 8.43/8.55 (P1(f1(f1(f1(f1(x6741,f1(x6742,x6743)),f1(x6741,f1(x6742,x6744))),f1(x6743,f1(f1(x6745,x6746),f1(x6745,x6747)))),f1(x6744,f1(x6746,x6747))))),
% 8.43/8.55 inference(scs_inference,[],[313,316,3])).
% 8.43/8.55 cnf(683,plain,
% 8.43/8.55 (P1(f1(x6831,f1(f1(x6832,x6832),x6831)))),
% 8.43/8.55 inference(scs_inference,[],[316,674,3])).
% 8.43/8.55 cnf(698,plain,
% 8.43/8.55 (P1(f1(f1(f1(x6981,f1(x6982,x6983)),f1(x6981,f1(x6982,x6984))),f1(f1(f1(x6985,x6986),f1(x6985,f1(x6987,x6983))),f1(x6986,f1(x6987,x6984)))))),
% 8.43/8.55 inference(scs_inference,[],[320,325,3])).
% 8.43/8.55 cnf(728,plain,
% 8.43/8.55 (P1(f1(f1(f1(x7281,x7282),f1(x7281,f1(x7283,f1(f1(x7284,f1(x7285,x7285)),f1(x7284,x7286))))),f1(x7282,f1(x7283,x7286))))),
% 8.43/8.55 inference(scs_inference,[],[334,698,3])).
% 8.43/8.55 cnf(923,plain,
% 8.43/8.55 (~P1(f1(f1(x9231,f1(f1(a3,a2),a4)),f1(x9231,f1(f1(f1(x9232,f1(x9233,a3)),f1(x9232,f1(x9233,a2))),f1(f1(x9234,f1(x9235,x9235)),f1(x9234,a4))))))),
% 8.43/8.55 inference(scs_inference,[],[728,36,3])).
% 8.43/8.55 cnf(927,plain,
% 8.43/8.55 ($false),
% 8.43/8.55 inference(scs_inference,[],[423,923,683,3]),
% 8.43/8.55 ['proof']).
% 8.43/8.55 % SZS output end Proof
% 8.43/8.55 % Total time :7.890000s
%------------------------------------------------------------------------------