TSTP Solution File: LCL121-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 06:48:03 EDT 2023
% Result : Unsatisfiable 147.51s 148.15s
% Output : CNFRefutation 147.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 18:16:51 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 147.51/148.11 %-------------------------------------------
% 147.51/148.11 % File :CSE---1.6
% 147.51/148.11 % Problem :theBenchmark
% 147.51/148.11 % Transform :cnf
% 147.51/148.11 % Format :tptp:raw
% 147.51/148.11 % Command :java -jar mcs_scs.jar %d %s
% 147.51/148.11
% 147.51/148.11 % Result :Theorem 146.890000s
% 147.51/148.11 % Output :CNFRefutation 146.890000s
% 147.51/148.11 %-------------------------------------------
% 147.51/148.15 %--------------------------------------------------------------------------
% 147.51/148.15 % File : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% 147.51/148.15 % Domain : Logic Calculi (Right group)
% 147.51/148.15 % Problem : LG-1 depends on LG-2
% 147.51/148.15 % Version : [McC92b] axioms.
% 147.51/148.15 % English : Kalman's axiomatisation of the right group calculus
% 147.51/148.15 % is {LG-1,LG-2,LG-3,LG-4,LG-5}. McCune has shown that LG-2
% 147.51/148.15 % is a single axiom. Other axiomatisations by McCune are
% 147.51/148.15 % {Q-2,Q-3}, {Q-3,Q-4}, S-2, S-3, S-4, P-4, S-6. Show that LG-1
% 147.51/148.15 % depends on LG-2.
% 147.51/148.15
% 147.51/148.15 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 147.51/148.15 % : [McC92a] McCune (1992), Automated Discovery of New Axiomatisat
% 147.51/148.15 % : [McC92b] McCune (1992), Email to G. Sutcliffe
% 147.51/148.15 % Source : [McC92b]
% 147.51/148.15 % Names : RG-102 [MW92]
% 147.51/148.15
% 147.51/148.15 % Status : Unsatisfiable
% 147.51/148.15 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.29 v6.0.0, 0.11 v5.5.0, 0.31 v5.4.0, 0.33 v5.3.0, 0.45 v5.2.0, 0.15 v5.1.0, 0.31 v5.0.0, 0.33 v4.1.0, 0.40 v4.0.1, 0.00 v3.1.0, 0.17 v2.7.0, 0.38 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.29 v2.2.1, 0.78 v2.1.0, 0.75 v2.0.0
% 147.51/148.15 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 147.51/148.15 % Number of literals : 5 ( 0 equ; 3 neg)
% 147.51/148.15 % Maximal clause size : 3 ( 1 avg)
% 147.51/148.15 % Maximal term depth : 6 ( 2 avg)
% 147.51/148.15 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 147.51/148.15 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 147.51/148.15 % Number of variables : 6 ( 0 sgn)
% 147.51/148.15 % SPC : CNF_UNS_RFO_NEQ_HRN
% 147.51/148.15
% 147.51/148.15 % Comments :
% 147.51/148.15 %--------------------------------------------------------------------------
% 147.51/148.15 cnf(condensed_detachment,axiom,
% 147.51/148.15 ( ~ is_a_theorem(equivalent(X,Y))
% 147.51/148.15 | ~ is_a_theorem(X)
% 147.51/148.15 | is_a_theorem(Y) ) ).
% 147.51/148.15
% 147.51/148.15 cnf(lg_2,axiom,
% 147.51/148.15 is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) ).
% 147.51/148.15
% 147.51/148.15 cnf(prove_lg_1,negated_conjecture,
% 147.51/148.15 ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))) ).
% 147.51/148.15
% 147.51/148.15 %--------------------------------------------------------------------------
% 147.51/148.15 %-------------------------------------------
% 147.51/148.15 % Proof found
% 147.51/148.15 % SZS status Theorem for theBenchmark
% 147.51/148.15 % SZS output start Proof
% 147.51/148.19 %ClaNum:3(EqnAxiom:0)
% 147.51/148.19 %VarNum:12(SingletonVarNum:6)
% 147.51/148.19 %MaxLitNum:3
% 147.51/148.19 %MaxfuncDepth:5
% 147.51/148.19 %SharedTerms:9
% 147.51/148.19 %goalClause: 2
% 147.51/148.19 %singleGoalClaCount:1
% 147.51/148.19 [2]~P1(f1(a2,f1(a2,f1(f1(a3,f1(a4,a4)),a3))))
% 147.51/148.19 [1]P1(f1(x11,f1(x11,f1(f1(x12,x13),f1(f1(x12,x14),f1(x13,x14))))))
% 147.51/148.19 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 147.51/148.19 %EqnAxiom
% 147.51/148.19
% 147.51/148.19 %-------------------------------------------
% 147.51/148.22 cnf(4,plain,
% 147.51/148.22 (P1(f1(x41,f1(f1(x42,x43),f1(f1(x42,x44),f1(x43,x44)))))+~P1(x41)),
% 147.51/148.22 inference(scs_inference,[],[1,3])).
% 147.51/148.22 cnf(6,plain,
% 147.51/148.22 (P1(f1(f1(x61,x62),f1(f1(x61,x63),f1(x62,x63))))),
% 147.51/148.22 inference(scs_inference,[],[1,4,3])).
% 147.51/148.22 cnf(7,plain,
% 147.51/148.22 (P1(f1(f1(f1(x71,x72),f1(f1(x71,x73),f1(x72,x73))),f1(f1(x74,x75),f1(f1(x74,x76),f1(x75,x76)))))),
% 147.51/148.22 inference(scs_inference,[],[6,4])).
% 147.51/148.22 cnf(11,plain,
% 147.51/148.22 (P1(f1(f1(x111,x112),f1(f1(x111,f1(f1(x113,x114),f1(f1(x113,x115),f1(x114,x115)))),x112)))),
% 147.51/148.22 inference(scs_inference,[],[1,6,3])).
% 147.51/148.22 cnf(14,plain,
% 147.51/148.22 (P1(f1(f1(x141,f1(f1(x142,x143),f1(f1(x142,x144),f1(x143,x144)))),f1(x141,f1(f1(x145,x146),f1(f1(x145,x147),f1(x146,x147))))))),
% 147.51/148.22 inference(scs_inference,[],[1,11,3])).
% 147.51/148.22 cnf(17,plain,
% 147.51/148.22 (P1(f1(f1(f1(x171,x172),f1(f1(x173,x174),f1(f1(x173,x175),f1(x174,x175)))),f1(f1(x171,x176),f1(x172,x176))))),
% 147.51/148.22 inference(scs_inference,[],[6,11,3])).
% 147.51/148.22 cnf(20,plain,
% 147.51/148.22 (P1(f1(f1(f1(f1(x201,x202),f1(f1(x203,x204),f1(f1(x203,x205),f1(x204,x205)))),f1(f1(x201,x206),f1(x202,x206))),f1(f1(x207,x208),f1(f1(x207,x209),f1(x208,x209)))))),
% 147.51/148.22 inference(scs_inference,[],[6,11,3,4])).
% 147.51/148.22 cnf(22,plain,
% 147.51/148.22 (P1(f1(f1(f1(f1(x221,x222),f1(f1(x223,x224),f1(f1(x223,x225),f1(x224,x225)))),x226),f1(f1(f1(x221,x227),f1(x222,x227)),x226)))),
% 147.51/148.22 inference(scs_inference,[],[6,17,3])).
% 147.51/148.22 cnf(25,plain,
% 147.51/148.22 (P1(f1(f1(f1(x251,x252),f1(x253,x252)),f1(f1(f1(x251,x253),x254),f1(f1(f1(x255,x256),f1(f1(x255,x257),f1(x256,x257))),x254))))),
% 147.51/148.22 inference(scs_inference,[],[6,22,3])).
% 147.51/148.22 cnf(29,plain,
% 147.51/148.22 (P1(f1(f1(f1(f1(f1(x291,x292),f1(f1(x293,x294),f1(f1(x293,x295),f1(x294,x295)))),f1(x291,x292)),x296),f1(f1(f1(x297,x298),f1(f1(x297,x299),f1(x298,x299))),x296)))),
% 147.51/148.22 inference(scs_inference,[],[20,25,3])).
% 147.51/148.22 cnf(33,plain,
% 147.51/148.22 (P1(f1(f1(f1(x331,x332),f1(f1(x331,x333),f1(x332,x333))),f1(f1(f1(f1(x334,x335),f1(f1(x336,x337),f1(f1(x336,x338),f1(x337,x338)))),x339),f1(f1(x334,x335),x339))))),
% 147.51/148.22 inference(scs_inference,[],[6,29,3])).
% 147.51/148.22 cnf(37,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x371,x372),f1(f1(x373,x374),f1(f1(x373,x375),f1(x374,x375)))),x376),f1(f1(x371,x372),x376)))),
% 147.51/148.23 inference(scs_inference,[],[6,33,3])).
% 147.51/148.23 cnf(40,plain,
% 147.51/148.23 (P1(f1(f1(x401,x402),f1(f1(f1(x401,x402),x403),f1(f1(f1(x404,x405),f1(f1(x404,x406),f1(x405,x406))),x403))))),
% 147.51/148.23 inference(scs_inference,[],[6,37,3])).
% 147.51/148.23 cnf(44,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x441,x442),f1(f1(x441,x443),f1(x442,x443))),x444),f1(f1(f1(x445,x446),f1(f1(x445,x447),f1(x446,x447))),x444)))),
% 147.51/148.23 inference(scs_inference,[],[6,40,3])).
% 147.51/148.23 cnf(47,plain,
% 147.51/148.23 (P1(f1(f1(f1(x471,x472),f1(f1(x471,x473),f1(x472,x473))),f1(f1(f1(x474,x475),x476),f1(f1(f1(x474,x477),f1(x475,x477)),x476))))),
% 147.51/148.23 inference(scs_inference,[],[6,44,3])).
% 147.51/148.23 cnf(51,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x511,x512),f1(f1(x511,x513),f1(x512,x513))),f1(f1(f1(x514,x515),x516),f1(f1(f1(x514,x517),f1(x515,x517)),x516))),f1(f1(x518,x519),f1(f1(x518,x5110),f1(x519,x5110)))))),
% 147.51/148.23 inference(scs_inference,[],[6,44,3,4])).
% 147.51/148.23 cnf(53,plain,
% 147.51/148.23 (P1(f1(f1(f1(x531,x532),x533),f1(f1(f1(x531,x534),f1(x532,x534)),x533)))),
% 147.51/148.23 inference(scs_inference,[],[47,6,3])).
% 147.51/148.23 cnf(56,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x561,x562),x563),f1(f1(f1(x561,x564),f1(x562,x564)),x563)),f1(f1(x565,x566),f1(f1(x565,x567),f1(x566,x567)))))),
% 147.51/148.23 inference(scs_inference,[],[47,6,3,4])).
% 147.51/148.23 cnf(58,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x581,x582),x583),f1(f1(f1(x581,x584),f1(x582,x584)),x583)),f1(f1(x585,x586),f1(f1(x585,x587),f1(x586,x587)))),f1(f1(x588,x589),f1(f1(x588,x5810),f1(x589,x5810)))))),
% 147.51/148.23 inference(scs_inference,[],[56,4])).
% 147.51/148.23 cnf(72,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x721,x722),f1(x721,x722)),x723),f1(f1(f1(x724,x725),f1(f1(x724,x726),f1(x725,x726))),x723)))),
% 147.51/148.23 inference(scs_inference,[],[7,25,3])).
% 147.51/148.23 cnf(82,plain,
% 147.51/148.23 (P1(f1(f1(f1(x821,x822),f1(f1(x821,x823),f1(x822,x823))),f1(f1(f1(x824,x825),f1(f1(x826,x827),f1(f1(x826,x828),f1(x827,x828)))),f1(x824,x825))))),
% 147.51/148.23 inference(scs_inference,[],[11,72,3])).
% 147.51/148.23 cnf(86,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x861,x862),f1(f1(x861,x863),f1(x862,x863))),f1(f1(x864,x865),f1(f1(x864,x866),f1(x865,x866)))),f1(f1(f1(x867,x868),f1(f1(x869,x8610),f1(f1(x869,x8611),f1(x8610,x8611)))),f1(x867,x868))))),
% 147.51/148.23 inference(scs_inference,[],[11,82,3])).
% 147.51/148.23 cnf(89,plain,
% 147.51/148.23 (P1(f1(f1(f1(x891,x892),f1(f1(x893,x894),f1(f1(x893,x895),f1(x894,x895)))),f1(x891,x892)))),
% 147.51/148.23 inference(scs_inference,[],[86,51,3])).
% 147.51/148.23 cnf(95,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x951,x952),f1(f1(x953,x954),f1(f1(x953,x955),f1(x954,x955)))),f1(f1(x956,x957),f1(f1(x956,x958),f1(x957,x958)))),f1(x951,x952)))),
% 147.51/148.23 inference(scs_inference,[],[11,89,3])).
% 147.51/148.23 cnf(98,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x981,x982),f1(f1(x983,x984),f1(f1(x983,x985),f1(x984,x985)))),f1(f1(x986,x987),f1(f1(x986,x988),f1(x987,x988)))),f1(f1(x989,x9810),f1(f1(x989,x9811),f1(x9810,x9811)))),f1(x981,x982)))),
% 147.51/148.23 inference(scs_inference,[],[11,95,3])).
% 147.51/148.23 cnf(104,plain,
% 147.51/148.23 (P1(f1(f1(f1(x1041,x1042),f1(x1043,x1042)),f1(f1(f1(x1041,x1043),f1(f1(x1044,x1045),f1(f1(x1044,x1046),f1(x1045,x1046)))),f1(f1(x1047,x1048),f1(f1(x1047,x1049),f1(x1048,x1049))))))),
% 147.51/148.23 inference(scs_inference,[],[11,22,3])).
% 147.51/148.23 cnf(141,plain,
% 147.51/148.23 (P1(f1(f1(f1(x1411,x1411),x1412),f1(f1(f1(x1413,x1414),f1(f1(x1413,x1415),f1(x1414,x1415))),x1412)))),
% 147.51/148.23 inference(scs_inference,[],[14,25,3])).
% 147.51/148.23 cnf(158,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x1581,x1582),f1(x1583,x1582)),f1(f1(x1581,x1584),f1(x1583,x1584))),f1(f1(x1585,x1586),f1(f1(x1585,x1587),f1(x1586,x1587)))))),
% 147.51/148.23 inference(scs_inference,[],[17,22,3,4])).
% 147.51/148.23 cnf(162,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x1621,x1622),x1623),f1(f1(f1(x1624,x1625),f1(f1(x1624,x1626),f1(x1625,x1626))),x1623)),f1(f1(x1621,x1627),f1(x1622,x1627))))),
% 147.51/148.23 inference(scs_inference,[],[17,158,53,4,3])).
% 147.51/148.23 cnf(201,plain,
% 147.51/148.23 (P1(f1(f1(f1(x2011,x2012),f1(f1(x2011,x2013),f1(x2012,x2013))),f1(f1(f1(x2014,x2015),f1(x2016,x2015)),f1(x2014,x2016))))),
% 147.51/148.23 inference(scs_inference,[],[22,29,3])).
% 147.51/148.23 cnf(207,plain,
% 147.51/148.23 (P1(f1(f1(f1(x2071,x2072),f1(x2073,x2072)),f1(x2071,x2073)))),
% 147.51/148.23 inference(scs_inference,[],[201,47,4,3])).
% 147.51/148.23 cnf(213,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x2131,x2132),f1(f1(x2133,x2134),f1(f1(x2133,x2135),f1(x2134,x2135)))),x2136),f1(x2137,x2136)),f1(f1(f1(x2131,x2138),f1(x2132,x2138)),x2137)))),
% 147.51/148.23 inference(scs_inference,[],[22,207,53,4,3])).
% 147.51/148.23 cnf(226,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x2261,x2262),x2263),f1(f1(x2264,x2262),x2263)),f1(f1(f1(x2261,x2264),x2265),f1(f1(f1(x2266,x2267),f1(f1(x2266,x2268),f1(x2267,x2268))),x2265))))),
% 147.51/148.23 inference(scs_inference,[],[25,53,3])).
% 147.51/148.23 cnf(229,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(f1(x2291,x2292),f1(x2293,x2292)),f1(f1(x2294,x2295),f1(f1(x2294,x2296),f1(x2295,x2296)))),f1(x2291,x2293)),x2297),f1(f1(f1(x2298,x2299),f1(f1(x2298,x22910),f1(x2299,x22910))),x2297)))),
% 147.51/148.23 inference(scs_inference,[],[29,226,3])).
% 147.51/148.23 cnf(233,plain,
% 147.51/148.23 (P1(f1(f1(f1(x2331,x2332),f1(f1(x2331,x2333),f1(x2332,x2333))),f1(f1(f1(x2334,x2335),f1(f1(x2334,x2336),f1(x2335,x2336))),f1(f1(x2337,x2338),f1(x2337,x2338)))))),
% 147.51/148.23 inference(scs_inference,[],[29,229,3])).
% 147.51/148.23 cnf(246,plain,
% 147.51/148.23 (P1(f1(f1(f1(x2461,x2462),f1(f1(x2461,x2463),f1(x2462,x2463))),f1(f1(x2464,x2465),f1(f1(f1(x2464,x2466),x2467),f1(f1(x2465,x2466),x2467)))))),
% 147.51/148.23 inference(scs_inference,[],[98,233,229,4,3])).
% 147.51/148.23 cnf(252,plain,
% 147.51/148.23 (P1(f1(f1(x2521,x2522),f1(f1(f1(x2521,x2523),x2524),f1(f1(x2522,x2523),x2524))))),
% 147.51/148.23 inference(scs_inference,[],[246,233,4,3])).
% 147.51/148.23 cnf(258,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x2581,x2582),x2583),f1(f1(f1(f1(x2584,x2585),x2586),f1(f1(f1(x2584,x2587),f1(x2585,x2587)),x2586)),x2583)),f1(f1(x2581,x2588),f1(x2582,x2588))))),
% 147.51/148.23 inference(scs_inference,[],[162,252,22,4,3])).
% 147.51/148.23 cnf(275,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x2751,x2752),f1(f1(x2751,x2753),f1(x2752,x2753))),x2754),f1(x2755,x2754)),f1(f1(f1(x2756,x2757),f1(f1(x2756,x2758),f1(x2757,x2758))),x2755)))),
% 147.51/148.23 inference(scs_inference,[],[44,53,3])).
% 147.51/148.23 cnf(282,plain,
% 147.51/148.23 (P1(f1(f1(f1(x2821,x2822),f1(x2823,x2822)),f1(f1(x2821,x2824),f1(f1(f1(x2825,x2826),f1(f1(x2825,x2827),f1(x2826,x2827))),f1(x2824,x2823)))))),
% 147.51/148.23 inference(scs_inference,[],[47,213,3])).
% 147.51/148.23 cnf(286,plain,
% 147.51/148.23 (P1(f1(f1(f1(x2861,x2862),f1(f1(x2861,x2863),f1(x2862,x2863))),f1(f1(x2864,x2865),f1(f1(f1(x2864,x2866),f1(x2867,x2866)),f1(x2865,x2867)))))),
% 147.51/148.23 inference(scs_inference,[],[47,275,3])).
% 147.51/148.23 cnf(292,plain,
% 147.51/148.23 (P1(f1(f1(x2921,x2922),f1(f1(f1(x2921,x2923),f1(x2924,x2923)),f1(x2922,x2924))))),
% 147.51/148.23 inference(scs_inference,[],[47,286,4,3])).
% 147.51/148.23 cnf(307,plain,
% 147.51/148.23 (P1(f1(f1(f1(x3071,x3072),x3073),f1(f1(f1(x3074,x3075),f1(f1(x3074,x3076),f1(x3075,x3076))),f1(x3073,f1(f1(x3071,x3077),f1(x3072,x3077))))))),
% 147.51/148.23 inference(scs_inference,[],[53,282,3])).
% 147.51/148.23 cnf(312,plain,
% 147.51/148.23 (P1(f1(f1(f1(x3121,x3122),f1(f1(x3121,x3123),f1(x3122,x3123))),f1(f1(f1(f1(x3124,x3125),f1(x3126,x3125)),x3127),f1(f1(f1(x3124,x3126),x3128),f1(x3127,x3128)))))),
% 147.51/148.23 inference(scs_inference,[],[53,307,3])).
% 147.51/148.23 cnf(317,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3171,x3172),f1(x3173,x3172)),x3174),f1(f1(f1(x3171,x3173),x3175),f1(x3174,x3175))))),
% 147.51/148.23 inference(scs_inference,[],[312,307,3])).
% 147.51/148.23 cnf(321,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x3211,x3212),f1(x3213,x3212)),x3214),f1(f1(f1(x3211,x3213),x3215),f1(x3214,x3215))),f1(f1(x3216,x3217),f1(f1(x3216,x3218),f1(x3217,x3218)))))),
% 147.51/148.23 inference(scs_inference,[],[312,307,3,4])).
% 147.51/148.23 cnf(325,plain,
% 147.51/148.23 (P1(f1(f1(f1(x3251,x3252),x3253),f1(f1(f1(f1(x3251,x3254),f1(x3255,x3254)),f1(x3252,x3255)),x3253)))),
% 147.51/148.23 inference(scs_inference,[],[53,317,321,4,3])).
% 147.51/148.23 cnf(329,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3291,x3292),x3293),f1(f1(f1(f1(x3291,x3294),f1(x3295,x3294)),f1(x3292,x3295)),x3293)),f1(f1(x3296,x3297),f1(f1(x3296,x3298),f1(x3297,x3298)))))),
% 147.51/148.23 inference(scs_inference,[],[325,4])).
% 147.51/148.23 cnf(331,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x3311,x3312),x3313),f1(x3314,x3313)),f1(x3315,x3314)),f1(f1(f1(x3311,x3316),f1(x3312,x3316)),x3315)))),
% 147.51/148.23 inference(scs_inference,[],[53,325,4,3])).
% 147.51/148.23 cnf(336,plain,
% 147.51/148.23 (P1(f1(f1(f1(x3361,x3362),f1(f1(f1(x3363,x3364),x3365),x3362)),f1(x3361,f1(f1(f1(x3363,x3366),f1(x3364,x3366)),x3365))))),
% 147.51/148.23 inference(scs_inference,[],[258,329,331,4,3])).
% 147.51/148.23 cnf(342,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x3421,x3422),x3423),x3424),f1(x3425,x3424)),f1(f1(f1(f1(x3421,x3426),f1(x3422,x3426)),x3423),x3425)))),
% 147.51/148.23 inference(scs_inference,[],[53,292,331,4,3])).
% 147.51/148.23 cnf(355,plain,
% 147.51/148.23 (P1(f1(f1(f1(x3551,x3552),f1(f1(x3553,x3554),x3552)),f1(f1(x3551,f1(x3555,x3554)),f1(x3553,x3555))))),
% 147.51/148.23 inference(scs_inference,[],[56,213,3])).
% 147.51/148.23 cnf(359,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3591,x3592),f1(f1(x3593,x3594),x3592)),f1(f1(x3591,f1(x3595,x3594)),f1(x3593,x3595))),f1(f1(x3596,x3597),f1(f1(x3596,x3598),f1(x3597,x3598)))))),
% 147.51/148.23 inference(scs_inference,[],[56,213,3,4])).
% 147.51/148.23 cnf(363,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3631,x3632),f1(x3633,f1(x3632,x3634))),f1(x3635,x3633)),f1(f1(x3631,x3634),x3635)))),
% 147.51/148.23 inference(scs_inference,[],[56,355,359,4,3])).
% 147.51/148.23 cnf(367,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x3671,x3672),f1(x3673,f1(x3672,x3674))),f1(x3675,x3673)),f1(f1(x3671,x3674),x3675)),f1(f1(x3676,x3677),f1(f1(x3676,x3678),f1(x3677,x3678)))))),
% 147.51/148.23 inference(scs_inference,[],[363,4])).
% 147.51/148.23 cnf(369,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3691,x3692),f1(x3693,f1(x3692,x3694))),x3695),f1(f1(f1(x3696,x3697),f1(f1(x3696,x3698),f1(x3697,x3698))),f1(x3695,f1(f1(x3691,x3694),x3693)))))),
% 147.51/148.23 inference(scs_inference,[],[56,363,282,4,3])).
% 147.51/148.23 cnf(375,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3751,x3752),f1(x3753,x3752)),f1(x3754,f1(x3753,x3755))),f1(f1(x3751,x3755),x3754)))),
% 147.51/148.23 inference(scs_inference,[],[56,367,342,4,3])).
% 147.51/148.23 cnf(379,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x3791,x3792),f1(x3793,x3792)),f1(x3794,f1(x3793,x3795))),f1(f1(x3791,x3795),x3794)),f1(f1(x3796,x3797),f1(f1(x3796,x3798),f1(x3797,x3798)))))),
% 147.51/148.23 inference(scs_inference,[],[375,4])).
% 147.51/148.23 cnf(387,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x3871,x3872),f1(x3873,f1(x3872,x3874))),f1(f1(x3871,x3874),x3873)),x3875),f1(f1(f1(x3876,x3877),f1(f1(x3876,x3878),f1(x3877,x3878))),x3875)))),
% 147.51/148.23 inference(scs_inference,[],[56,379,25,4,3])).
% 147.51/148.23 cnf(398,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(x3981,x3982),x3983),f1(f1(f1(x3984,x3985),f1(x3982,x3985)),x3983)),f1(x3981,x3984)))),
% 147.51/148.23 inference(scs_inference,[],[58,331,3])).
% 147.51/148.23 cnf(402,plain,
% 147.51/148.23 (P1(f1(f1(f1(f1(f1(x4021,x4022),x4023),f1(f1(f1(x4024,x4025),f1(x4022,x4025)),x4023)),f1(x4021,x4024)),f1(f1(x4026,x4027),f1(f1(x4026,x4028),f1(x4027,x4028)))))),
% 147.51/148.23 inference(scs_inference,[],[58,331,3,4])).
% 147.51/148.23 cnf(406,plain,
% 147.51/148.23 (~P1(f1(f1(f1(a2,x4061),x4062),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4063),f1(x4061,x4063)),x4062)))),
% 147.51/148.23 inference(scs_inference,[],[398,402,2,4,3])).
% 147.51/148.23 cnf(409,plain,
% 147.51/148.23 (~P1(f1(f1(f1(a2,x4091),f1(f1(x4092,x4093),f1(x4091,x4093))),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4094),f1(x4092,x4094))))),
% 147.51/148.23 inference(scs_inference,[],[369,406,3])).
% 147.51/148.23 cnf(432,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x4321,x4322),f1(f1(x4321,x4323),f1(x4322,x4323))),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4324),f1(a2,x4324))))),
% 147.51/148.23 inference(scs_inference,[],[44,409,3])).
% 147.51/148.23 cnf(436,plain,
% 147.51/148.23 (~P1(f1(f1(x4361,x4361),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4362),f1(a2,x4362))))),
% 147.51/148.23 inference(scs_inference,[],[141,432,3])).
% 147.51/148.23 cnf(442,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x4421,x4421),x4422),f1(x4423,x4422)),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4424),f1(a2,x4424)),x4423)))),
% 147.51/148.23 inference(scs_inference,[],[331,436,3])).
% 147.51/148.23 cnf(453,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x4531,x4531),f1(f1(x4532,x4533),f1(x4534,x4533))),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4535),f1(a2,x4535)),f1(x4532,x4534))))),
% 147.51/148.23 inference(scs_inference,[],[11,442,3])).
% 147.51/148.23 cnf(465,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x4651,x4652),f1(x4653,x4652)),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x4654),f1(a2,x4654)),f1(x4653,x4651))))),
% 147.51/148.23 inference(scs_inference,[],[325,453,3])).
% 147.51/148.23 cnf(469,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x4691,x4692),f1(x4693,x4692)),x4694),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x4693,x4691)),x4694)))),
% 147.51/148.23 inference(scs_inference,[],[336,465,3])).
% 147.51/148.23 cnf(476,plain,
% 147.51/148.23 (~P1(f1(f1(x4761,x4761),f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2)))),
% 147.51/148.23 inference(scs_inference,[],[252,469,3])).
% 147.51/148.23 cnf(484,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x4841,x4842),f1(x4843,x4842)),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x4843,x4841))))),
% 147.51/148.23 inference(scs_inference,[],[375,476,3])).
% 147.51/148.23 cnf(487,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x4871,x4872),x4873),f1(x4874,x4873)),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x4875,x4871)),f1(x4874,f1(x4875,x4872)))))),
% 147.51/148.23 inference(scs_inference,[],[375,484,3])).
% 147.51/148.23 cnf(490,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x4901,x4902),x4903),f1(f1(x4904,x4902),x4903)),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x4904,x4901))))),
% 147.51/148.23 inference(scs_inference,[],[317,487,3])).
% 147.51/148.23 cnf(510,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(f1(x5101,x5102),f1(x5103,x5102)),x5104),f1(x5105,x5104)),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x5103,x5101)),x5105)))),
% 147.51/148.23 inference(scs_inference,[],[331,490,3])).
% 147.51/148.23 cnf(521,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x5211,x5212),f1(x5213,x5212)),f1(f1(x5214,x5215),f1(x5216,x5215))),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x5213,x5211)),f1(x5214,x5216))))),
% 147.51/148.23 inference(scs_inference,[],[11,510,3])).
% 147.51/148.23 cnf(525,plain,
% 147.51/148.23 (~P1(f1(f1(x5251,x5252),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x5252,x5251))))),
% 147.51/148.23 inference(scs_inference,[],[292,521,3])).
% 147.51/148.23 cnf(529,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x5291,x5292),f1(x5293,f1(x5292,x5294))),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x5294,x5291)),x5293)))),
% 147.51/148.23 inference(scs_inference,[],[363,525,3])).
% 147.51/148.23 cnf(532,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x5321,x5322),f1(x5323,f1(x5322,x5324))),f1(f1(x5321,x5324),x5323)),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x5325,x5326)),f1(x5326,x5325))))),
% 147.51/148.23 inference(scs_inference,[],[387,529,3])).
% 147.51/148.23 cnf(536,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x5361,x5362),f1(x5363,f1(x5362,x5364))),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(x5363,f1(x5361,x5364)))))),
% 147.51/148.23 inference(scs_inference,[],[6,532,3])).
% 147.51/148.23 cnf(540,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x5401,x5402),f1(f1(x5401,x5403),f1(x5402,x5403))),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(f1(x5404,x5405),f1(x5404,x5405)))))),
% 147.51/148.23 inference(scs_inference,[],[44,536,3])).
% 147.51/148.23 cnf(544,plain,
% 147.51/148.23 (~P1(f1(f1(x5441,x5441),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(f1(x5442,x5443),f1(x5442,x5443)))))),
% 147.51/148.23 inference(scs_inference,[],[141,540,3])).
% 147.51/148.23 cnf(547,plain,
% 147.51/148.23 (~P1(f1(f1(f1(x5471,x5472),f1(x5473,x5472)),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(f1(x5474,x5475),f1(x5474,x5475))),f1(x5473,x5471))))),
% 147.51/148.23 inference(scs_inference,[],[375,544,3])).
% 147.51/148.23 cnf(550,plain,
% 147.51/148.23 (~P1(f1(f1(x5501,x5502),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),a2),f1(f1(x5503,x5504),f1(x5503,x5504))),f1(x5502,x5501))))),
% 147.51/148.23 inference(scs_inference,[],[53,547,3])).
% 147.51/148.23 cnf(553,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x5531,x5532),f1(x5531,x5532)),x5533),f1(f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x5534),f1(a2,x5534)),x5533)))),
% 147.51/148.23 inference(scs_inference,[],[104,550,3])).
% 147.51/148.23 cnf(557,plain,
% 147.51/148.23 (~P1(f1(f1(f1(f1(x5571,x5572),f1(x5571,x5572)),f1(f1(f1(a2,f1(f1(a3,f1(a4,a4)),a3)),x5573),f1(a2,x5573))),f1(f1(x5574,x5575),f1(f1(x5574,x5576),f1(x5575,x5576)))))),
% 147.51/148.23 inference(scs_inference,[],[17,553,3])).
% 147.51/148.23 cnf(560,plain,
% 147.51/148.23 (~P1(f1(f1(a2,f1(x5601,f1(f1(a3,f1(a4,a4)),a3))),f1(a2,x5601)))),
% 147.51/148.23 inference(scs_inference,[],[292,557,3])).
% 147.51/148.23 cnf(773,plain,
% 147.51/148.23 (~P1(f1(f1(f1(a2,f1(x7731,f1(f1(a3,f1(a4,a4)),a3))),f1(f1(x7732,x7733),f1(f1(x7732,x7734),f1(x7733,x7734)))),f1(a2,x7731)))),
% 147.51/148.23 inference(scs_inference,[],[560,37,3])).
% 147.51/148.23 cnf(1022,plain,
% 147.51/148.23 ($false),
% 147.51/148.23 inference(scs_inference,[],[773,336,22,3]),
% 147.51/148.23 ['proof']).
% 147.51/148.23 % SZS output end Proof
% 147.51/148.23 % Total time :146.890000s
%------------------------------------------------------------------------------