TSTP Solution File: SYN565-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN565-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 : Fri Sep 1 01:46:25 EDT 2023
% Result : Unsatisfiable 127.96s 128.08s
% Output : CNFRefutation 128.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN565-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.35 % Computer : n021.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 18:43:42 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 127.96/128.06 %-------------------------------------------
% 127.96/128.06 % File :CSE---1.6
% 127.96/128.06 % Problem :theBenchmark
% 127.96/128.06 % Transform :cnf
% 127.96/128.06 % Format :tptp:raw
% 127.96/128.06 % Command :java -jar mcs_scs.jar %d %s
% 127.96/128.06
% 127.96/128.06 % Result :Theorem 127.350000s
% 127.96/128.06 % Output :CNFRefutation 127.350000s
% 127.96/128.06 %-------------------------------------------
% 127.96/128.07 %--------------------------------------------------------------------------
% 127.96/128.07 % File : SYN565-1 : TPTP v8.1.2. Released v2.5.0.
% 127.96/128.07 % Domain : Syntactic
% 127.96/128.07 % Problem : Harrison problem 2889
% 127.96/128.07 % Version : Especial.
% 127.96/128.07 % English :
% 127.96/128.07
% 127.96/128.07 % Refs : [Har01] Email to G. Sutcliffe
% 127.96/128.07 % Source : [Har01]
% 127.96/128.07 % Names :
% 127.96/128.07
% 127.96/128.07 % Status : Unsatisfiable
% 127.96/128.07 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.00 v5.4.0, 0.11 v5.3.0, 0.25 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.5.0
% 127.96/128.07 % Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 12 RR)
% 127.96/128.07 % Number of literals : 37 ( 0 equ; 20 neg)
% 127.96/128.07 % Maximal clause size : 4 ( 2 avg)
% 127.96/128.07 % Maximal term depth : 4 ( 1 avg)
% 127.96/128.07 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 127.96/128.07 % Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% 127.96/128.07 % Number of variables : 45 ( 0 sgn)
% 127.96/128.07 % SPC : CNF_UNS_RFO_NEQ_HRN
% 127.96/128.07
% 127.96/128.07 % Comments :
% 127.96/128.07 %--------------------------------------------------------------------------
% 127.96/128.07 cnf(p2_1,negated_conjecture,
% 127.96/128.07 p2(X9,X9) ).
% 127.96/128.07
% 127.96/128.07 cnf(p4_2,negated_conjecture,
% 127.96/128.07 p4(X23,X23) ).
% 127.96/128.07
% 127.96/128.07 cnf(p2_3,negated_conjecture,
% 127.96/128.07 p2(f5(f7(X18)),f5(X18)) ).
% 127.96/128.07
% 127.96/128.07 cnf(p4_4,negated_conjecture,
% 127.96/128.07 p4(f8(X38,X39),f6(X38,f7(X39))) ).
% 127.96/128.07
% 127.96/128.07 cnf(p4_5,negated_conjecture,
% 127.96/128.07 p4(f7(f8(X32,X33)),f8(X33,X32)) ).
% 127.96/128.07
% 127.96/128.07 cnf(p2_6,negated_conjecture,
% 127.96/128.07 ( p2(f5(X16),f5(X17))
% 127.96/128.07 | ~ p4(X16,X17) ) ).
% 127.96/128.07
% 127.96/128.07 cnf(p4_7,negated_conjecture,
% 127.96/128.07 ( p4(f7(X30),f7(X31))
% 127.96/128.07 | ~ p4(X30,X31) ) ).
% 127.96/128.07
% 127.96/128.07 cnf(p2_8,negated_conjecture,
% 127.96/128.07 ( p2(X10,X11)
% 127.96/128.07 | ~ p2(X9,X10)
% 127.96/128.07 | ~ p2(X9,X11) ) ).
% 127.96/128.07
% 127.96/128.07 cnf(p4_9,negated_conjecture,
% 127.96/128.07 ( p4(X24,X25)
% 127.96/128.07 | ~ p4(X23,X24)
% 127.96/128.07 | ~ p4(X23,X25) ) ).
% 127.96/128.07
% 127.96/128.07 cnf(p10_10,negated_conjecture,
% 127.96/128.07 p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))) ).
% 127.96/128.07
% 127.96/128.07 cnf(not_p10_11,negated_conjecture,
% 127.96/128.07 ~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))) ).
% 127.96/128.07
% 127.96/128.07 cnf(p10_12,negated_conjecture,
% 127.96/128.07 ( p10(X4,f3(X5,X6))
% 127.96/128.07 | ~ p10(f9(X4,X6),X5) ) ).
% 127.96/128.07
% 127.96/128.08 cnf(p10_13,negated_conjecture,
% 127.96/128.08 ( p10(f9(X4,X6),X5)
% 127.96/128.08 | ~ p10(X4,f3(X5,X6)) ) ).
% 127.96/128.08
% 127.96/128.08 cnf(p10_14,negated_conjecture,
% 127.96/128.08 ( p10(X0,X1)
% 127.96/128.08 | ~ p2(X2,X0)
% 127.96/128.08 | ~ p2(X3,X1)
% 127.96/128.08 | ~ p10(X2,X3) ) ).
% 127.96/128.08
% 127.96/128.08 cnf(p4_15,negated_conjecture,
% 127.96/128.08 ( p4(f8(X34,X35),f8(X36,X37))
% 127.96/128.08 | ~ p4(X34,X36)
% 127.96/128.08 | ~ p4(X35,X37) ) ).
% 127.96/128.08
% 127.96/128.08 cnf(p2_16,negated_conjecture,
% 127.96/128.08 ( p2(f3(X12,X13),f3(X14,X15))
% 127.96/128.08 | ~ p2(X12,X14)
% 127.96/128.08 | ~ p2(X13,X15) ) ).
% 127.96/128.08
% 127.96/128.08 cnf(p2_17,negated_conjecture,
% 127.96/128.08 ( p2(f9(X19,X20),f9(X21,X22))
% 127.96/128.08 | ~ p2(X19,X21)
% 127.96/128.08 | ~ p2(X20,X22) ) ).
% 127.96/128.08
% 127.96/128.08 cnf(p4_18,negated_conjecture,
% 127.96/128.08 ( p4(f6(X26,X27),f6(X28,X29))
% 127.96/128.08 | ~ p4(X26,X28)
% 127.96/128.08 | ~ p4(X27,X29) ) ).
% 127.96/128.08
% 127.96/128.08 %--------------------------------------------------------------------------
% 127.96/128.08 %-------------------------------------------
% 127.96/128.08 % Proof found
% 127.96/128.08 % SZS status Theorem for theBenchmark
% 127.96/128.08 % SZS output start Proof
% 127.96/128.08 %ClaNum:18(EqnAxiom:0)
% 127.96/128.08 %VarNum:90(SingletonVarNum:45)
% 127.96/128.08 %MaxLitNum:4
% 127.96/128.08 %MaxfuncDepth:2
% 127.96/128.09 %SharedTerms:8
% 127.96/128.09 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
% 127.96/128.09 %singleGoalClaCount:7
% 127.96/128.09 [7]~P2(f8(f2(a4),f2(a5)),f2(f7(a5,a4)))
% 127.96/128.09 [1]P1(x11,x11)
% 127.96/128.09 [2]P3(x21,x21)
% 127.96/128.09 [3]P1(f2(f1(x31)),f2(x31))
% 127.96/128.09 [4]P3(f7(x41,x42),f6(x41,f1(x42)))
% 127.96/128.09 [5]P3(f1(f7(x51,x52)),f7(x52,x51))
% 127.96/128.09 [6]P2(f2(x61),f3(f2(f6(x61,x62)),f2(x62)))
% 127.96/128.09 [8]~P3(x81,x82)+P1(f2(x81),f2(x82))
% 127.96/128.09 [9]~P3(x91,x92)+P3(f1(x91),f1(x92))
% 127.96/128.09 [13]~P2(f8(x131,x133),x132)+P2(x131,f3(x132,x133))
% 127.96/128.09 [14]~P2(x141,f3(x143,x142))+P2(f8(x141,x142),x143)
% 127.96/128.09 [10]~P1(x103,x101)+P1(x101,x102)+~P1(x103,x102)
% 127.96/128.09 [11]~P3(x113,x111)+P3(x111,x112)+~P3(x113,x112)
% 127.96/128.09 [15]~P1(x152,x154)+~P1(x151,x153)+P1(f3(x151,x152),f3(x153,x154))
% 127.96/128.09 [16]~P1(x162,x164)+~P1(x161,x163)+P1(f8(x161,x162),f8(x163,x164))
% 127.96/128.09 [17]~P3(x172,x174)+~P3(x171,x173)+P3(f7(x171,x172),f7(x173,x174))
% 127.96/128.09 [18]~P3(x182,x184)+~P3(x181,x183)+P3(f6(x181,x182),f6(x183,x184))
% 127.96/128.09 [12]~P2(x124,x123)+P2(x121,x122)+~P1(x123,x122)+~P1(x124,x121)
% 127.96/128.09 %EqnAxiom
% 127.96/128.09
% 127.96/128.09 %-------------------------------------------
% 128.02/128.11 cnf(19,plain,
% 128.02/128.11 (~P2(f2(a4),f3(f2(f7(a5,a4)),f2(a5)))),
% 128.02/128.11 inference(scs_inference,[],[7,14])).
% 128.02/128.11 cnf(22,plain,
% 128.02/128.11 (P2(f8(f2(x221),f2(x222)),f2(f6(x221,x222)))),
% 128.02/128.11 inference(scs_inference,[],[6,14])).
% 128.02/128.11 cnf(25,plain,
% 128.02/128.11 (P1(f2(x251),f2(f1(x251)))),
% 128.02/128.11 inference(scs_inference,[],[3,1,10])).
% 128.02/128.11 cnf(26,plain,
% 128.02/128.11 (P1(x261,x261)),
% 128.02/128.11 inference(rename_variables,[],[1])).
% 128.02/128.11 cnf(28,plain,
% 128.02/128.11 (~P2(f2(f1(a4)),f3(f2(f7(a5,a4)),f2(a5)))),
% 128.02/128.11 inference(scs_inference,[],[19,3,1,26,10,12])).
% 128.02/128.11 cnf(32,plain,
% 128.02/128.11 (~P2(f8(f2(f1(a4)),f2(a5)),f2(f7(a5,a4)))),
% 128.02/128.11 inference(scs_inference,[],[28,13])).
% 128.02/128.11 cnf(37,plain,
% 128.02/128.11 (P3(f6(x371,f1(x372)),f7(x371,x372))),
% 128.02/128.11 inference(scs_inference,[],[4,2,11])).
% 128.02/128.11 cnf(42,plain,
% 128.02/128.11 (~P1(f2(f6(a4,a5)),f2(f7(a5,a4)))),
% 128.02/128.11 inference(scs_inference,[],[22,7,1,12])).
% 128.02/128.11 cnf(46,plain,
% 128.02/128.11 (~P3(f6(a4,a5),f7(a5,a4))),
% 128.02/128.11 inference(scs_inference,[],[22,7,1,12,8])).
% 128.02/128.11 cnf(54,plain,
% 128.02/128.11 (~P3(f6(a5,f1(a4)),f6(a4,a5))),
% 128.02/128.11 inference(scs_inference,[],[37,46,11])).
% 128.02/128.11 cnf(64,plain,
% 128.02/128.11 (~P1(f2(f7(a5,a4)),f2(f6(a4,a5)))),
% 128.02/128.11 inference(scs_inference,[],[42,1,10])).
% 128.02/128.11 cnf(76,plain,
% 128.02/128.11 (~P1(x761,f8(f2(f1(a4)),f2(a5)))+~P2(x761,f2(f7(a5,a4)))),
% 128.02/128.11 inference(scs_inference,[],[54,32,2,1,11,12])).
% 128.02/128.11 cnf(79,plain,
% 128.02/128.11 (~P2(f8(f2(a4),f2(f1(a5))),f2(f7(a5,a4)))),
% 128.02/128.11 inference(scs_inference,[],[25,3,76,16])).
% 128.02/128.11 cnf(85,plain,
% 128.02/128.11 (~P1(f2(f1(f7(a4,a5))),f2(f6(a4,a5)))),
% 128.02/128.11 inference(scs_inference,[],[5,64,8,10])).
% 128.02/128.11 cnf(86,plain,
% 128.02/128.11 (~P1(f8(f2(x861),f2(x862)),x863)+P2(x863,f2(f6(x861,x862)))),
% 128.02/128.11 inference(scs_inference,[],[1,22,12])).
% 128.02/128.11 cnf(91,plain,
% 128.02/128.11 (P3(f7(x911,x912),f1(f7(x912,x911)))),
% 128.02/128.11 inference(scs_inference,[],[5,2,11])).
% 128.02/128.11 cnf(100,plain,
% 128.02/128.12 (P1(f2(f1(f1(f7(x1001,x1002)))),f2(f1(f7(x1002,x1001))))),
% 128.02/128.12 inference(scs_inference,[],[5,8,9])).
% 128.02/128.12 cnf(102,plain,
% 128.02/128.12 (P2(f2(f1(x1021)),f3(f2(f6(x1021,x1022)),f2(x1022)))),
% 128.02/128.12 inference(scs_inference,[],[6,25,1,12])).
% 128.02/128.12 cnf(107,plain,
% 128.02/128.12 (P2(f8(f2(f1(x1071)),f2(x1072)),f2(f6(x1071,x1072)))),
% 128.02/128.12 inference(scs_inference,[],[102,14])).
% 128.02/128.12 cnf(109,plain,
% 128.02/128.12 (P1(f2(f1(f6(x1091,f1(x1092)))),f2(f1(f7(x1091,x1092))))),
% 128.02/128.12 inference(scs_inference,[],[37,8,9])).
% 128.02/128.12 cnf(129,plain,
% 128.02/128.12 (P2(f2(f1(f7(x1291,x1292))),f3(f2(f6(f7(x1292,x1291),x1293)),f2(x1293)))),
% 128.02/128.12 inference(scs_inference,[],[91,6,1,8,12])).
% 128.02/128.12 cnf(130,plain,
% 128.02/128.12 (~P1(f8(f2(f1(x1301)),f2(x1302)),x1303)+P2(x1303,f2(f6(x1301,x1302)))),
% 128.02/128.12 inference(scs_inference,[],[107,1,12])).
% 128.02/128.12 cnf(157,plain,
% 128.02/128.12 (P2(f2(f1(f1(x1571))),f3(f2(f6(x1571,x1572)),f2(x1572)))),
% 128.02/128.12 inference(scs_inference,[],[107,25,1,13,12])).
% 128.02/128.12 cnf(158,plain,
% 128.02/128.12 (~P2(f8(f2(f1(a4)),f2(a5)),f2(f1(f7(a5,a4))))),
% 128.02/128.12 inference(scs_inference,[],[28,3,1,13,12])).
% 128.02/128.12 cnf(159,plain,
% 128.02/128.12 (~P2(f8(f2(a4),f2(a5)),f2(f1(f7(a5,a4))))),
% 128.02/128.12 inference(scs_inference,[],[19,1,3,13,12])).
% 128.02/128.12 cnf(161,plain,
% 128.02/128.12 (~P2(f8(f2(f1(f1(a4))),f2(a5)),f2(f7(a5,a4)))),
% 128.02/128.12 inference(scs_inference,[],[3,1,76,16])).
% 128.02/128.12 cnf(162,plain,
% 128.02/128.12 (~P2(f8(f2(f1(a4)),f2(f1(a5))),f2(f7(a5,a4)))),
% 128.02/128.12 inference(scs_inference,[],[3,1,76,16])).
% 128.02/128.12 cnf(178,plain,
% 128.02/128.12 (~P1(f2(f6(x1781,x1782)),f2(f7(a5,a4)))+~P1(f8(f2(f1(x1781)),f2(x1782)),f8(f2(a4),f2(a5)))),
% 128.02/128.12 inference(scs_inference,[],[7,107,12])).
% 128.02/128.12 cnf(182,plain,
% 128.02/128.12 (~P1(f8(f2(f1(x1821)),f2(x1822)),f8(f2(a4),f2(a5)))+~P1(f2(f1(f6(x1821,x1822))),f2(f7(a5,a4)))),
% 128.02/128.12 inference(scs_inference,[],[3,178,10])).
% 128.02/128.12 cnf(183,plain,
% 128.02/128.12 (~P1(f8(f2(f1(x1831)),f2(x1832)),f8(f2(a4),f2(a5)))+~P1(f2(f1(f7(a5,a4))),f2(f6(x1831,x1832)))),
% 128.02/128.12 inference(scs_inference,[],[3,178,10])).
% 128.02/128.12 cnf(189,plain,
% 128.02/128.12 (P1(f2(f6(f1(f7(x1891,x1892)),f1(f7(x1891,x1892)))),f2(f6(f7(x1892,x1891),f7(x1892,x1891))))),
% 128.02/128.12 inference(scs_inference,[],[5,8,18])).
% 128.02/128.12 cnf(190,plain,
% 128.02/128.12 (~P1(f3(f2(f6(f1(a4),x1901)),f2(x1901)),f3(f2(f7(a5,a4)),f2(a5)))),
% 128.02/128.12 inference(scs_inference,[],[2,6,28,8,12])).
% 128.02/128.12 cnf(192,plain,
% 128.02/128.12 (~P2(f8(f2(f1(a4)),f2(a5)),f2(f6(a5,f1(a4))))),
% 128.02/128.12 inference(scs_inference,[],[37,32,1,8,12])).
% 128.02/128.12 cnf(201,plain,
% 128.02/128.12 (P2(f8(f2(x2011),f2(x2011)),f2(f6(f1(x2011),f1(x2011))))),
% 128.02/128.12 inference(scs_inference,[],[3,86,16])).
% 128.02/128.12 cnf(212,plain,
% 128.02/128.12 (P1(f8(f2(f1(x2121)),f2(x2121)),f8(f2(f1(x2121)),f2(f1(x2121))))),
% 128.02/128.12 inference(scs_inference,[],[25,16,10])).
% 128.02/128.12 cnf(213,plain,
% 128.02/128.12 (P2(f8(f2(x2131),f2(x2131)),f2(f1(f6(x2131,x2131))))),
% 128.02/128.12 inference(scs_inference,[],[1,22,25,16,12])).
% 128.02/128.12 cnf(215,plain,
% 128.02/128.12 (P2(f8(f2(f1(x2151)),f2(f1(x2151))),f2(f6(x2151,x2151)))),
% 128.02/128.12 inference(scs_inference,[],[25,16,86])).
% 128.02/128.12 cnf(219,plain,
% 128.02/128.12 (P3(f7(f1(f7(x2191,x2192)),f7(x2192,x2191)),f7(f1(f7(x2191,x2192)),f1(f7(x2191,x2192))))),
% 128.02/128.12 inference(scs_inference,[],[91,17,11])).
% 128.02/128.12 cnf(227,plain,
% 128.02/128.12 (~P1(f2(f1(x2271)),f2(a4))+~P1(f2(f6(x2271,f1(a5))),f2(f7(a5,a4)))),
% 128.02/128.12 inference(scs_inference,[],[3,178,16])).
% 128.02/128.12 cnf(228,plain,
% 128.02/128.12 (P1(f8(f2(x2281),f2(f1(x2281))),f8(f2(x2281),f2(x2281)))),
% 128.02/128.12 inference(scs_inference,[],[3,16,10])).
% 128.02/128.12 cnf(229,plain,
% 128.02/128.12 (P1(f8(f2(f1(x2291)),f2(x2291)),f8(f2(x2291),f2(x2291)))),
% 128.02/128.12 inference(scs_inference,[],[3,16,10])).
% 128.02/128.12 cnf(231,plain,
% 128.02/128.12 (P3(f7(f6(x2311,f1(x2312)),f7(x2311,x2312)),f7(f7(x2311,x2312),f7(x2311,x2312)))),
% 128.02/128.12 inference(scs_inference,[],[37,17,11])).
% 128.02/128.12 cnf(234,plain,
% 128.02/128.12 (P3(f7(f7(x2341,x2342),f6(x2341,f1(x2342))),f7(f7(x2341,x2342),f7(x2341,x2342)))),
% 128.02/128.12 inference(scs_inference,[],[37,17,11])).
% 128.02/128.12 cnf(235,plain,
% 128.02/128.12 (P1(f8(f2(x2351),f2(x2351)),f8(f2(f1(x2351)),f2(x2351)))),
% 128.02/128.12 inference(scs_inference,[],[229,1,10])).
% 128.02/128.12 cnf(238,plain,
% 128.02/128.12 (P3(f6(f6(x2381,f1(x2382)),f7(x2381,x2382)),f6(f7(x2381,x2382),f7(x2381,x2382)))),
% 128.02/128.12 inference(scs_inference,[],[37,18,11])).
% 128.02/128.12 cnf(239,plain,
% 128.02/128.12 (P3(f7(f7(x2391,x2392),f7(x2391,x2392)),f7(f6(x2391,f1(x2392)),f7(x2391,x2392)))),
% 128.02/128.12 inference(scs_inference,[],[231,2,11])).
% 128.02/128.12 cnf(245,plain,
% 128.02/128.12 (P3(f6(f7(x2451,x2452),f7(x2451,x2452)),f6(f6(x2451,f1(x2452)),f7(x2451,x2452)))),
% 128.02/128.12 inference(scs_inference,[],[238,2,11])).
% 128.02/128.12 cnf(261,plain,
% 128.02/128.12 (P2(f2(f6(x2611,f1(x2612))),f3(f2(f6(f7(x2611,x2612),x2613)),f2(x2613)))),
% 128.02/128.12 inference(scs_inference,[],[4,6,1,8,12])).
% 128.02/128.12 cnf(266,plain,
% 128.02/128.12 (P2(f2(x2661),f3(f2(f6(f1(x2661),x2661)),f2(x2661)))),
% 128.02/128.12 inference(scs_inference,[],[229,13,86])).
% 128.02/128.12 cnf(1565,plain,
% 128.02/128.12 (~P1(f2(f6(a4,f1(a5))),f2(f7(a5,a4)))),
% 128.02/128.12 inference(scs_inference,[],[3,227])).
% 128.02/128.12 cnf(1573,plain,
% 128.02/128.12 (P2(f8(f2(f1(x15731)),f2(f1(x15731))),f2(f6(f1(x15731),x15731)))),
% 128.02/128.12 inference(scs_inference,[],[234,228,212,3,227,9,130,86])).
% 128.02/128.12 cnf(1577,plain,
% 128.02/128.12 (P2(f8(f2(x15771),f2(x15771)),f2(f6(f1(x15771),x15771)))),
% 128.02/128.12 inference(scs_inference,[],[215,234,266,228,212,3,227,9,130,86,13,14])).
% 128.02/128.12 cnf(1593,plain,
% 128.02/128.12 (~P1(f2(f1(f1(f7(a5,a4)))),f2(f6(a4,a5)))),
% 128.02/128.12 inference(scs_inference,[],[1,215,234,266,228,100,212,245,25,235,85,3,227,9,130,86,13,14,8,17,15,16,18,12,10])).
% 128.02/128.12 cnf(1596,plain,
% 128.02/128.12 (~P2(f2(f1(a4)),f3(f2(f1(f7(a5,a4))),f2(a5)))),
% 128.02/128.12 inference(scs_inference,[],[158,14])).
% 128.02/128.12 cnf(1598,plain,
% 128.02/128.12 (~P3(f6(a4,f1(a5)),f7(a5,a4))),
% 128.02/128.12 inference(scs_inference,[],[158,1565,14,8])).
% 128.02/128.12 cnf(1622,plain,
% 128.02/128.12 (~P1(f2(f6(f1(a4),a5)),f2(f7(a5,a4)))),
% 128.02/128.12 inference(scs_inference,[],[1,129,219,190,14,8,15])).
% 128.02/128.12 cnf(1624,plain,
% 128.02/128.12 (P1(x16241,x16241)),
% 128.02/128.12 inference(rename_variables,[],[1])).
% 128.02/128.12 cnf(1626,plain,
% 128.02/128.12 (~P2(f8(f2(a4),f2(a5)),f2(f1(f6(a5,f1(a4)))))),
% 128.02/128.12 inference(scs_inference,[],[1,1624,129,219,109,159,190,14,8,15,12])).
% 128.02/128.12 cnf(1635,plain,
% 128.02/128.12 (~P3(f6(f1(a4),a5),f7(a5,a4))),
% 128.02/128.12 inference(scs_inference,[],[1622,79,14,8])).
% 128.02/128.12 cnf(1646,plain,
% 128.02/128.12 (P2(f8(f2(f1(f1(x16461))),f2(x16462)),f2(f6(x16461,x16462)))),
% 128.02/128.12 inference(scs_inference,[],[157,239,8,14])).
% 128.02/128.12 cnf(1650,plain,
% 128.02/128.12 (P1(f8(f2(f1(x16501)),f2(f1(x16501))),f8(f2(x16501),f2(x16501)))),
% 128.02/128.12 inference(scs_inference,[],[157,239,3,8,14,15,16])).
% 128.02/128.12 cnf(1652,plain,
% 128.02/128.12 (P2(f8(f2(f7(x16521,x16522)),f2(f7(x16521,x16522))),f2(f6(f7(x16522,x16521),f7(x16522,x16521))))),
% 128.02/128.12 inference(scs_inference,[],[1,157,201,189,239,3,8,14,15,16,12])).
% 128.02/128.12 cnf(1663,plain,
% 128.02/128.12 (~P3(f1(f1(f7(a5,a4))),f6(a4,a5))),
% 128.02/128.12 inference(scs_inference,[],[162,1593,14,8])).
% 128.02/128.12 cnf(1667,plain,
% 128.02/128.13 (~P1(f2(f6(f1(f1(a4)),a5)),f2(f7(a5,a4)))),
% 128.02/128.13 inference(scs_inference,[],[1,161,162,239,22,1593,14,8,18,12])).
% 128.02/128.13 cnf(1696,plain,
% 128.02/128.13 (~P2(f2(f1(a4)),f3(f2(f6(a5,f1(a4))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[192,14])).
% 128.02/128.13 cnf(1698,plain,
% 128.02/128.13 (~P3(f6(f1(f1(a4)),a5),f7(a5,a4))),
% 128.02/128.13 inference(scs_inference,[],[1667,192,14,8])).
% 128.02/128.13 cnf(1709,plain,
% 128.02/128.13 (P2(f2(f6(f7(x17091,x17092),f7(x17091,x17092))),f3(f2(f6(f7(f1(f7(x17092,x17091)),f7(x17092,x17091)),x17093)),f2(x17093)))),
% 128.02/128.13 inference(scs_inference,[],[1,261,189,231,8,14,12])).
% 128.02/128.13 cnf(1720,plain,
% 128.02/128.13 (~P2(f2(a4),f3(f2(f1(f7(a5,a4))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[159,14])).
% 128.02/128.13 cnf(1722,plain,
% 128.02/128.13 (P1(f3(x17221,f2(f1(x17222))),f3(x17221,f2(x17222)))),
% 128.02/128.13 inference(scs_inference,[],[3,1,159,14,15])).
% 128.02/128.13 cnf(1724,plain,
% 128.02/128.13 (P1(f8(f2(f1(x17241)),x17242),f8(f2(x17241),x17242))),
% 128.02/128.13 inference(scs_inference,[],[3,1,159,14,15,16])).
% 128.02/128.13 cnf(1726,plain,
% 128.02/128.13 (~P1(f3(f2(f6(a4,x17261)),f2(x17261)),f3(f2(f6(a5,f1(a4))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[3,1,1696,157,159,14,15,16,12])).
% 128.02/128.13 cnf(1745,plain,
% 128.02/128.13 (~P1(f2(f6(a4,f1(a5))),f2(f6(a5,f1(a4))))),
% 128.02/128.13 inference(scs_inference,[],[3,1598,1726,91,1709,4,14,18,11,15])).
% 128.02/128.13 cnf(1746,plain,
% 128.02/128.13 (P1(f2(f1(x17461)),f2(x17461))),
% 128.02/128.13 inference(rename_variables,[],[3])).
% 128.02/128.13 cnf(1749,plain,
% 128.02/128.13 (P1(f8(x17491,f2(f1(x17492))),f8(x17491,f2(x17492)))),
% 128.02/128.13 inference(scs_inference,[],[3,1746,1,1598,1726,91,1709,4,14,18,11,15,16])).
% 128.02/128.13 cnf(1751,plain,
% 128.02/128.13 (~P2(f2(f1(f1(a4))),f3(f2(f1(f7(a5,a4))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[3,1746,1,1598,1726,1596,91,1709,4,14,18,11,15,16,12])).
% 128.02/128.13 cnf(1755,plain,
% 128.02/128.13 (~P1(f2(f1(f6(a4,a5))),f2(f7(a5,a4)))),
% 128.02/128.13 inference(scs_inference,[],[3,1746,1,1724,1598,1726,1596,91,1709,4,14,18,11,15,16,12,182])).
% 128.02/128.13 cnf(1756,plain,
% 128.02/128.13 (P1(f8(f2(f1(x17561)),x17562),f8(f2(x17561),x17562))),
% 128.02/128.13 inference(rename_variables,[],[1724])).
% 128.02/128.13 cnf(1758,plain,
% 128.02/128.13 (~P1(f2(f1(f7(a5,a4))),f2(f6(a4,a5)))),
% 128.02/128.13 inference(scs_inference,[],[3,1746,1,1724,1756,1598,1726,1596,91,1709,4,14,18,11,15,16,12,182,183])).
% 128.02/128.13 cnf(1763,plain,
% 128.02/128.13 (~P3(f6(a4,f1(a5)),f6(a5,f1(a4)))),
% 128.02/128.13 inference(scs_inference,[],[3,1746,1,1724,1756,1598,1726,1596,91,1709,4,14,18,11,15,16,12,182,183,13,8])).
% 128.02/128.13 cnf(1768,plain,
% 128.02/128.13 (P2(f8(f2(f1(x17681)),f2(x17682)),f2(f6(x17681,f1(x17682))))),
% 128.02/128.13 inference(scs_inference,[],[1749,130])).
% 128.02/128.13 cnf(1775,plain,
% 128.02/128.13 (~P2(f2(a4),f3(f2(f1(f6(a5,f1(a4)))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[1749,213,238,1626,130,13,8,14])).
% 128.02/128.13 cnf(1777,plain,
% 128.02/128.13 (P3(f7(f6(x17771,f1(x17772)),f6(x17771,f1(x17772))),f7(f7(x17771,x17772),f7(x17771,x17772)))),
% 128.02/128.13 inference(scs_inference,[],[1749,213,238,37,1626,130,13,8,14,17])).
% 128.02/128.13 cnf(1780,plain,
% 128.02/128.13 (P3(f6(x17801,f1(x17802)),f7(x17801,x17802))),
% 128.02/128.13 inference(rename_variables,[],[37])).
% 128.02/128.13 cnf(1782,plain,
% 128.02/128.13 (~P1(f2(f6(f1(a4),f1(a5))),f2(f7(a5,a4)))),
% 128.02/128.13 inference(scs_inference,[],[3,1635,1749,213,190,238,37,1626,130,13,8,14,17,11,15])).
% 128.02/128.13 cnf(1784,plain,
% 128.02/128.13 (P1(f2(f1(x17841)),f2(x17841))),
% 128.02/128.13 inference(rename_variables,[],[3])).
% 128.02/128.13 cnf(1789,plain,
% 128.02/128.13 (P3(f6(f6(x17891,f1(x17892)),f6(x17891,f1(x17892))),f6(f7(x17891,x17892),f7(x17891,x17892)))),
% 128.02/128.13 inference(scs_inference,[],[3,1784,1635,1749,1755,213,190,238,37,1780,1626,130,13,8,14,17,11,15,10,18])).
% 128.02/128.13 cnf(1799,plain,
% 128.02/128.13 (~P3(f1(f7(a5,a4)),f6(a4,a5))),
% 128.02/128.13 inference(scs_inference,[],[1758,8])).
% 128.02/128.13 cnf(1804,plain,
% 128.02/128.13 (~P1(f2(f1(f6(a4,a5))),f2(f1(f7(a5,a4))))),
% 128.02/128.13 inference(scs_inference,[],[3,1758,1777,2,8,11,10])).
% 128.02/128.13 cnf(1805,plain,
% 128.02/128.13 (P1(f2(f1(x18051)),f2(x18051))),
% 128.02/128.13 inference(rename_variables,[],[3])).
% 128.02/128.13 cnf(1808,plain,
% 128.02/128.13 (P1(x18081,x18081)),
% 128.02/128.13 inference(rename_variables,[],[1])).
% 128.02/128.13 cnf(1815,plain,
% 128.02/128.13 (P1(f3(f2(f1(x18151)),x18152),f3(f2(x18151),x18152))),
% 128.02/128.13 inference(scs_inference,[],[3,1805,1,1808,1646,1758,1777,192,245,1763,2,8,11,10,12,9,18,15])).
% 128.02/128.13 cnf(1819,plain,
% 128.02/128.13 (P1(f2(f7(x18191,x18192)),f2(f1(f7(x18192,x18191))))),
% 128.02/128.13 inference(scs_inference,[],[91,8])).
% 128.02/128.13 cnf(1821,plain,
% 128.02/128.13 (P3(f6(f7(x18211,x18212),f7(x18211,x18212)),f6(f6(x18211,f1(x18212)),f6(x18211,f1(x18212))))),
% 128.02/128.13 inference(scs_inference,[],[91,4,8,18])).
% 128.02/128.13 cnf(1828,plain,
% 128.02/128.13 (~P1(f3(f2(f6(f1(a4),x18281)),f2(x18281)),f3(f2(f1(f7(a5,a4))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[3,1799,1751,157,91,4,5,8,18,17,11,12])).
% 128.02/128.13 cnf(1832,plain,
% 128.02/128.13 (P2(f8(f2(x18321),f2(x18322)),f2(f6(x18321,f1(x18322))))),
% 128.02/128.13 inference(scs_inference,[],[3,1799,1751,1749,157,91,4,5,8,18,17,11,12,86])).
% 128.02/128.13 cnf(1837,plain,
% 128.02/128.13 (P2(f2(f1(x18371)),f3(f2(f6(f1(x18371),x18371)),f2(f1(x18371))))),
% 128.02/128.13 inference(scs_inference,[],[1573,13])).
% 128.02/128.13 cnf(1839,plain,
% 128.02/128.13 (~P3(f6(f1(a4),f1(a5)),f7(a5,a4))),
% 128.02/128.13 inference(scs_inference,[],[1573,1782,13,8])).
% 128.02/128.13 cnf(1848,plain,
% 128.02/128.13 (~P2(f2(f1(a4)),f3(f2(f1(f6(a5,f1(a4)))),f2(a5)))),
% 128.02/128.13 inference(scs_inference,[],[3,1,1789,1573,1663,1782,1775,5,2,13,8,18,17,11,12])).
% 128.02/128.13 cnf(1852,plain,
% 128.02/128.13 (~P2(f8(f2(f1(a4)),f2(a5)),f2(f1(f6(a5,f1(a4)))))),
% 128.02/128.13 inference(scs_inference,[],[1848,13])).
% 128.02/128.13 cnf(1854,plain,
% 128.02/128.13 (P1(f2(f6(x18541,f1(x18542))),f2(f7(x18541,x18542)))),
% 128.02/128.13 inference(scs_inference,[],[37,1848,13,8])).
% 128.02/128.13 cnf(1858,plain,
% 128.02/128.13 (~P1(f2(f6(f1(a4),f1(a5))),f2(f1(f7(a5,a4))))),
% 128.02/128.13 inference(scs_inference,[],[3,1828,1815,37,1848,13,8,12,15])).
% 128.02/128.13 cnf(1875,plain,
% 128.02/128.13 (~P1(f2(f1(f6(a4,f1(a5)))),f2(f6(a5,f1(a4))))),
% 128.02/128.13 inference(scs_inference,[],[3,1,1577,1652,1745,1858,1839,1821,1650,4,13,8,11,12,9,10])).
% 128.02/128.13 cnf(1890,plain,
% 128.02/128.13 (P2(f8(f2(x18901),f2(x18902)),f2(f6(f1(x18901),x18902)))),
% 128.02/128.13 inference(scs_inference,[],[3,1,1768,1852,1698,1622,1724,37,4,8,10,11,12,86])).
% 128.02/128.13 cnf(1893,plain,
% 128.02/128.13 (~P3(f1(f6(a4,a5)),f7(a5,a4))),
% 128.02/128.13 inference(scs_inference,[],[1755,8])).
% 128.02/128.13 cnf(1895,plain,
% 128.02/128.13 (P3(f7(x18951,f7(x18952,x18953)),f7(x18951,f6(x18952,f1(x18953))))),
% 128.02/128.13 inference(scs_inference,[],[4,1755,2,8,17])).
% 128.02/128.13 cnf(1897,plain,
% 128.02/128.13 (~P2(f2(a4),f3(f2(f1(f7(a5,a4))),f2(f1(a5))))),
% 128.02/128.13 inference(scs_inference,[],[4,1,1720,1755,1722,2,8,17,12])).
% 128.02/128.13 cnf(1901,plain,
% 128.02/128.13 (~P2(f8(f2(a4),f2(f1(a5))),f2(f1(f7(a5,a4))))),
% 128.02/128.13 inference(scs_inference,[],[4,1,1720,1755,1722,2,8,17,12,13])).
% 128.02/128.13 cnf(1915,plain,
% 128.02/128.13 (P3(f6(x19151,f7(x19152,x19153)),f6(x19151,f6(x19152,f1(x19153))))),
% 128.02/128.13 inference(scs_inference,[],[4,1832,1895,2,13,8,18])).
% 128.02/128.13 cnf(1937,plain,
% 128.02/128.13 (~P1(f3(f2(f6(f1(a4),a4)),f2(f1(a4))),f3(f2(f1(f7(a5,a4))),f2(f1(a5))))),
% 128.02/128.13 inference(scs_inference,[],[1837,1915,1897,3,8,12])).
% 128.02/128.13 cnf(1953,plain,
% 128.02/128.13 (P1(x19531,x19531)),
% 128.02/128.13 inference(rename_variables,[],[1])).
% 128.02/128.13 cnf(1956,plain,
% 128.02/128.13 (P1(x19561,x19561)),
% 128.02/128.13 inference(rename_variables,[],[1])).
% 128.02/128.13 cnf(1961,plain,
% 128.02/128.13 (~P2(f8(f2(a4),f2(f1(a5))),f2(f7(a4,a5)))),
% 128.02/128.13 inference(scs_inference,[],[1,1953,1956,1890,1893,1937,1901,1819,1828,37,1875,13,8,15,10,11,12])).
% 128.02/128.13 cnf(1994,plain,
% 128.02/128.13 ($false),
% 128.02/128.13 inference(scs_inference,[],[1,1961,1854,22,1804,8,12]),
% 128.02/128.13 ['proof']).
% 128.02/128.13 % SZS output end Proof
% 128.02/128.13 % Total time :127.350000s
%------------------------------------------------------------------------------