TSTP Solution File: GEO002-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 : Wed Aug 30 22:42:19 EDT 2023
% Result : Unsatisfiable 3.42s 3.53s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 22:13:23 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 3.42/3.52 %-------------------------------------------
% 3.42/3.52 % File :CSE---1.6
% 3.42/3.52 % Problem :theBenchmark
% 3.42/3.52 % Transform :cnf
% 3.42/3.52 % Format :tptp:raw
% 3.42/3.52 % Command :java -jar mcs_scs.jar %d %s
% 3.42/3.52
% 3.42/3.52 % Result :Theorem 2.920000s
% 3.42/3.52 % Output :CNFRefutation 2.920000s
% 3.42/3.52 %-------------------------------------------
% 3.42/3.53 %--------------------------------------------------------------------------
% 3.42/3.53 % File : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 3.42/3.53 % Domain : Geometry
% 3.42/3.53 % Problem : For all points x and y, x is between x and y
% 3.42/3.53 % Version : [MOW76] axioms : Reduced > Incomplete.
% 3.42/3.53 % English :
% 3.42/3.53
% 3.42/3.53 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 3.42/3.53 % : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr
% 3.42/3.53 % Source : [ANL]
% 3.42/3.53 % Names : Simple Theorem on Betweenness [Wos88]
% 3.42/3.53
% 3.42/3.53 % Status : Unsatisfiable
% 3.42/3.53 % Rating : 0.00 v6.1.0, 0.14 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.22 v5.3.0, 0.25 v5.2.0, 0.08 v5.1.0, 0.19 v5.0.0, 0.20 v4.0.1, 0.14 v3.4.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.44 v2.2.0, 0.33 v2.1.0, 0.29 v2.0.0
% 3.42/3.53 % Syntax : Number of clauses : 8 ( 3 unt; 0 nHn; 6 RR)
% 3.42/3.53 % Number of literals : 17 ( 0 equ; 10 neg)
% 3.42/3.53 % Maximal clause size : 3 ( 2 avg)
% 3.42/3.53 % Maximal term depth : 2 ( 1 avg)
% 3.42/3.53 % Number of predicates : 3 ( 3 usr; 0 prp; 2-4 aty)
% 3.42/3.53 % Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% 3.42/3.53 % Number of variables : 29 ( 3 sgn)
% 3.42/3.53 % SPC : CNF_UNS_RFO_NEQ_HRN
% 3.42/3.53
% 3.42/3.53 % Comments :
% 3.42/3.53 %--------------------------------------------------------------------------
% 3.42/3.53 %----Include Tarski geometry axioms
% 3.42/3.53 % include('Axioms/GEO001-0.ax').
% 3.42/3.53 %--------------------------------------------------------------------------
% 3.42/3.53 cnf(transitivity_for_betweeness,axiom,
% 3.42/3.53 ( ~ between(X,Y,V)
% 3.42/3.53 | ~ between(Y,Z,V)
% 3.42/3.53 | between(X,Y,Z) ) ).
% 3.42/3.53
% 3.42/3.53 cnf(identity_for_equidistance,axiom,
% 3.42/3.53 ( ~ equidistant(X,Y,Z,Z)
% 3.42/3.53 | equalish(X,Y) ) ).
% 3.42/3.53
% 3.42/3.53 cnf(outer_pasch1,axiom,
% 3.42/3.53 ( ~ between(X,W,V)
% 3.42/3.53 | ~ between(Y,V,Z)
% 3.42/3.53 | between(X,outer_pasch(W,X,Y,Z,V),Y) ) ).
% 3.42/3.53
% 3.42/3.53 cnf(outer_pasch2,axiom,
% 3.42/3.53 ( ~ between(X,W,V)
% 3.42/3.53 | ~ between(Y,V,Z)
% 3.42/3.53 | between(Z,W,outer_pasch(W,X,Y,Z,V)) ) ).
% 3.42/3.53
% 3.42/3.53 cnf(segment_construction1,axiom,
% 3.42/3.53 between(X,Y,extension(X,Y,W,V)) ).
% 3.42/3.53
% 3.42/3.53 cnf(segment_construction2,axiom,
% 3.42/3.53 equidistant(Y,extension(X,Y,W,V),W,V) ).
% 3.42/3.53
% 3.42/3.53 %----Equality substitution axioms
% 3.42/3.53 cnf(between_substitution3,axiom,
% 3.42/3.53 ( ~ equalish(X,Y)
% 3.42/3.53 | ~ between(W,Z,X)
% 3.42/3.53 | between(W,Z,Y) ) ).
% 3.42/3.53
% 3.42/3.53 cnf(prove_a_between_a_and_b,negated_conjecture,
% 3.42/3.53 ~ between(a,a,b) ).
% 3.42/3.53
% 3.42/3.53 %--------------------------------------------------------------------------
% 3.42/3.53 %-------------------------------------------
% 3.42/3.53 % Proof found
% 3.42/3.53 % SZS status Theorem for theBenchmark
% 3.42/3.53 % SZS output start Proof
% 3.42/3.53 %ClaNum:8(EqnAxiom:0)
% 3.42/3.53 %VarNum:62(SingletonVarNum:29)
% 3.42/3.53 %MaxLitNum:3
% 3.42/3.53 %MaxfuncDepth:1
% 3.42/3.53 %SharedTerms:3
% 3.42/3.53 %goalClause: 3
% 3.42/3.53 %singleGoalClaCount:1
% 3.42/3.53 [3]~P1(a2,a2,a3)
% 3.42/3.53 [1]P1(x11,x12,f1(x11,x12,x13,x14))
% 3.42/3.53 [2]P2(x21,f1(x22,x21,x23,x24),x23,x24)
% 3.42/3.53 [6]~P2(x61,x62,x63,x63)+P3(x61,x62)
% 3.42/3.53 [4]~P1(x41,x42,x44)+P1(x41,x42,x43)+~P3(x44,x43)
% 3.42/3.53 [5]~P1(x51,x52,x54)+P1(x51,x52,x53)+~P1(x52,x53,x54)
% 3.42/3.53 [7]~P1(x74,x75,x71)+~P1(x73,x72,x75)+P1(x71,x72,f4(x72,x73,x74,x71,x75))
% 3.42/3.53 [8]~P1(x83,x85,x84)+~P1(x81,x82,x85)+P1(x81,f4(x82,x81,x83,x84,x85),x83)
% 3.42/3.53 %EqnAxiom
% 3.42/3.53
% 3.42/3.53 %-------------------------------------------
% 3.42/3.54 cnf(9,plain,
% 3.42/3.54 (P1(x91,x91,x91)),
% 3.42/3.54 inference(scs_inference,[],[1,5])).
% 3.42/3.54 cnf(11,plain,
% 3.42/3.54 (P1(x111,x112,f1(x111,x112,x113,x114))),
% 3.42/3.54 inference(rename_variables,[],[1])).
% 3.42/3.54 cnf(13,plain,
% 3.42/3.54 (P3(x131,f1(x132,x131,x133,x133))),
% 3.42/3.54 inference(scs_inference,[],[2,1,5,6])).
% 3.42/3.54 cnf(15,plain,
% 3.42/3.54 (~P3(f1(a2,a2,x151,x152),a3)),
% 3.42/3.54 inference(scs_inference,[],[3,2,1,11,5,6,4])).
% 3.42/3.54 cnf(16,plain,
% 3.42/3.54 (P1(x161,x162,f1(x161,x162,x163,x164))),
% 3.42/3.54 inference(rename_variables,[],[1])).
% 3.42/3.54 cnf(18,plain,
% 3.42/3.54 (P1(x181,f4(x182,x181,f1(x181,x182,x183,x184),f1(x181,x182,x183,x184),f1(x181,x182,x183,x184)),f1(x181,x182,x183,x184))),
% 3.42/3.54 inference(scs_inference,[],[3,2,1,11,16,5,6,4,8])).
% 3.42/3.54 cnf(22,plain,
% 3.42/3.54 (~P1(a2,a3,f1(a2,a2,x221,x222))),
% 3.42/3.54 inference(scs_inference,[],[3,1,5])).
% 3.42/3.54 cnf(23,plain,
% 3.42/3.54 (P1(x231,x232,f1(x231,x232,x233,x234))),
% 3.42/3.54 inference(rename_variables,[],[1])).
% 3.42/3.54 cnf(25,plain,
% 3.42/3.54 (~P1(a2,a3,a2)),
% 3.42/3.54 inference(scs_inference,[],[3,1,13,5,4])).
% 3.42/3.54 cnf(28,plain,
% 3.42/3.54 (P1(f1(x281,x282,x283,x284),x282,f4(x282,x282,x281,f1(x281,x282,x283,x284),x282))),
% 3.42/3.54 inference(scs_inference,[],[3,1,23,9,13,5,4,7])).
% 3.42/3.54 cnf(29,plain,
% 3.42/3.54 (P1(x291,x291,x291)),
% 3.42/3.54 inference(rename_variables,[],[9])).
% 3.42/3.54 cnf(33,plain,
% 3.42/3.54 (P1(x331,f4(x331,x331,x332,f1(x332,x331,x333,x334),x331),x332)),
% 3.42/3.54 inference(scs_inference,[],[3,1,23,9,29,13,15,5,4,7,6,8])).
% 3.42/3.54 cnf(37,plain,
% 3.42/3.54 (P1(x371,x372,f1(x371,x372,x373,x374))),
% 3.42/3.54 inference(rename_variables,[],[1])).
% 3.42/3.54 cnf(39,plain,
% 3.42/3.54 (P1(x391,x392,f1(x393,f1(x391,x392,x394,x395),x396,x396))),
% 3.42/3.54 inference(scs_inference,[],[1,37,22,13,5,4])).
% 3.42/3.54 cnf(43,plain,
% 3.42/3.54 (P1(x431,x431,f4(x431,x431,f1(x431,x431,x432,x433),f1(x431,x431,x432,x433),f1(x431,x431,x432,x433)))),
% 3.42/3.54 inference(scs_inference,[],[1,18,5])).
% 3.42/3.54 cnf(50,plain,
% 3.42/3.54 (~P1(a2,a3,f4(a2,a2,f1(a2,a2,x501,x502),f1(a2,a2,x501,x502),f1(a2,a2,x501,x502)))),
% 3.42/3.54 inference(scs_inference,[],[43,3,5])).
% 3.42/3.54 cnf(56,plain,
% 3.42/3.54 (~P1(a2,a3,f1(x561,f1(a3,a2,x562,x563),x564,x564))),
% 3.42/3.54 inference(scs_inference,[],[39,25,5])).
% 3.42/3.54 cnf(59,plain,
% 3.42/3.54 (P1(x591,x591,f1(x592,x591,x593,x593))),
% 3.42/3.54 inference(scs_inference,[],[9,13,39,25,5,4])).
% 3.42/3.54 cnf(62,plain,
% 3.42/3.54 (P1(x621,x621,f4(x621,x621,x621,x621,x621))),
% 3.42/3.54 inference(scs_inference,[],[9,13,39,25,5,4,7])).
% 3.42/3.54 cnf(64,plain,
% 3.42/3.54 (P1(x641,f4(x641,x641,x641,x641,x641),x641)),
% 3.42/3.54 inference(scs_inference,[],[9,13,39,25,5,4,7,8])).
% 3.42/3.54 cnf(66,plain,
% 3.42/3.54 (P1(f4(x661,x661,x661,x661,x661),x661,f4(x661,x661,f4(x661,x661,x661,x661,x661),f4(x661,x661,x661,x661,x661),f4(x661,x661,x661,x661,x661)))),
% 3.42/3.54 inference(scs_inference,[],[9,62,7])).
% 3.42/3.54 cnf(67,plain,
% 3.42/3.54 (P1(x671,x671,x671)),
% 3.42/3.54 inference(rename_variables,[],[9])).
% 3.42/3.54 cnf(69,plain,
% 3.42/3.54 (P1(x691,f4(x691,x691,f4(x691,x691,x691,x691,x691),f4(x691,x691,x691,x691,x691),f4(x691,x691,x691,x691,x691)),f4(x691,x691,x691,x691,x691))),
% 3.42/3.54 inference(scs_inference,[],[9,67,62,7,8])).
% 3.42/3.54 cnf(70,plain,
% 3.42/3.54 (P1(x701,x701,x701)),
% 3.42/3.54 inference(rename_variables,[],[9])).
% 3.42/3.54 cnf(72,plain,
% 3.42/3.54 (P1(x721,x721,f4(x721,x721,x721,f1(x721,x721,x722,x723),x721))),
% 3.42/3.54 inference(scs_inference,[],[9,67,70,62,33,7,8,5])).
% 3.42/3.54 cnf(83,plain,
% 3.42/3.54 (~P1(a2,a3,f1(a3,a2,x831,x832))),
% 3.42/3.54 inference(scs_inference,[],[13,72,56,3,5,4])).
% 3.42/3.54 cnf(87,plain,
% 3.42/3.54 (~P1(a2,a2,f1(x871,f1(a2,a3,x872,x873),x874,x874))),
% 3.42/3.54 inference(scs_inference,[],[39,3,5])).
% 3.42/3.54 cnf(90,plain,
% 3.42/3.54 (P1(x901,x901,f4(x901,x901,f4(x901,x901,x901,x901,x901),f4(x901,x901,x901,x901,x901),f4(x901,x901,x901,x901,x901)))),
% 3.42/3.54 inference(scs_inference,[],[69,62,5])).
% 3.42/3.54 cnf(93,plain,
% 3.42/3.54 (P1(f4(x931,x931,x931,x931,x931),x931,x931)),
% 3.42/3.54 inference(scs_inference,[],[66,90,5])).
% 3.42/3.54 cnf(98,plain,
% 3.42/3.54 (P1(x981,f4(x981,x981,x981,x981,x981),f1(x982,x981,x983,x983))),
% 3.42/3.54 inference(scs_inference,[],[64,13,4])).
% 3.42/3.54 cnf(99,plain,
% 3.42/3.54 (P1(x991,f4(x991,x991,x991,x991,x991),x991)),
% 3.42/3.54 inference(rename_variables,[],[64])).
% 3.42/3.54 cnf(102,plain,
% 3.42/3.54 (P1(x1021,x1021,f4(x1021,x1021,x1021,x1021,x1021))),
% 3.42/3.54 inference(rename_variables,[],[62])).
% 3.42/3.54 cnf(104,plain,
% 3.42/3.54 (P1(x1041,f4(x1041,x1041,x1041,x1041,f4(x1041,x1041,x1041,x1041,x1041)),x1041)),
% 3.42/3.54 inference(scs_inference,[],[64,99,62,102,13,4,7,8])).
% 3.42/3.54 cnf(107,plain,
% 3.42/3.54 (~P1(a2,a2,f1(a2,a3,x1071,x1072))),
% 3.42/3.54 inference(scs_inference,[],[87,13,4])).
% 3.42/3.54 cnf(116,plain,
% 3.42/3.54 (P1(f1(x1161,x1161,x1162,x1163),x1161,x1161)),
% 3.42/3.54 inference(scs_inference,[],[28,72,5])).
% 3.42/3.54 cnf(119,plain,
% 3.42/3.54 (P1(x1191,f4(x1191,x1191,x1192,f1(x1192,x1191,x1193,x1194),x1191),f1(x1195,x1192,x1196,x1196))),
% 3.42/3.54 inference(scs_inference,[],[33,13,4])).
% 3.42/3.54 cnf(132,plain,
% 3.42/3.54 (P1(f4(x1321,x1321,x1321,x1321,x1321),x1321,f4(x1321,x1321,x1321,x1321,f4(x1321,x1321,x1321,x1321,x1321)))),
% 3.42/3.54 inference(scs_inference,[],[104,93,5])).
% 3.42/3.54 cnf(133,plain,
% 3.42/3.54 (P1(x1331,f4(x1331,x1331,x1331,x1331,f4(x1331,x1331,x1331,x1331,x1331)),x1331)),
% 3.42/3.54 inference(rename_variables,[],[104])).
% 3.42/3.54 cnf(135,plain,
% 3.42/3.54 (P1(x1351,f4(x1351,x1351,x1351,x1351,f4(x1351,x1351,x1351,x1351,x1351)),f1(x1352,x1351,x1353,x1353))),
% 3.42/3.54 inference(scs_inference,[],[104,133,93,13,5,4])).
% 3.42/3.54 cnf(151,plain,
% 3.42/3.54 (P1(x1511,f4(x1511,x1511,x1511,x1511,x1511),f1(x1512,f1(x1513,x1511,x1514,x1514),x1515,x1515))),
% 3.42/3.54 inference(scs_inference,[],[132,98,13,5,4])).
% 3.42/3.54 cnf(167,plain,
% 3.42/3.54 (P1(x1671,x1672,f4(x1672,x1672,x1672,x1672,x1672))),
% 3.42/3.54 inference(scs_inference,[],[151,39,5])).
% 3.42/3.54 cnf(171,plain,
% 3.42/3.54 (P1(x1711,x1711,f4(x1711,x1712,x1711,x1711,f4(x1711,x1711,x1711,x1711,x1711)))),
% 3.42/3.54 inference(scs_inference,[],[167,64,7])).
% 3.42/3.54 cnf(172,plain,
% 3.42/3.54 (P1(x1721,f4(x1721,x1721,x1721,x1721,x1721),x1721)),
% 3.42/3.54 inference(rename_variables,[],[64])).
% 3.42/3.54 cnf(175,plain,
% 3.42/3.54 (P1(x1751,x1752,f4(x1752,x1752,x1752,x1752,x1752))),
% 3.42/3.54 inference(rename_variables,[],[167])).
% 3.42/3.54 cnf(177,plain,
% 3.42/3.54 (P1(x1771,f4(x1772,x1771,x1772,x1772,f4(x1772,x1772,x1772,x1772,x1772)),x1772)),
% 3.42/3.54 inference(scs_inference,[],[50,167,175,64,172,7,5,8])).
% 3.42/3.54 cnf(180,plain,
% 3.42/3.54 (P1(x1801,x1802,f1(x1803,f4(x1802,x1802,x1802,x1802,x1802),x1804,x1804))),
% 3.42/3.54 inference(scs_inference,[],[50,167,175,64,172,13,7,5,8,4])).
% 3.42/3.54 cnf(184,plain,
% 3.42/3.54 (~P1(a2,a3,f1(x1841,f4(a2,a2,a2,a2,a2),x1842,x1842))),
% 3.42/3.54 inference(scs_inference,[],[180,25,5])).
% 3.42/3.54 cnf(187,plain,
% 3.42/3.54 (P1(x1871,x1872,f4(x1872,x1872,f4(x1872,x1872,x1872,x1872,x1872),f4(x1872,x1872,x1872,x1872,x1872),f4(x1872,x1872,x1872,x1872,x1872)))),
% 3.42/3.54 inference(scs_inference,[],[69,167,5])).
% 3.42/3.54 cnf(190,plain,
% 3.42/3.54 (~P1(a2,a3,f4(a2,a2,a2,a2,a2))),
% 3.42/3.54 inference(scs_inference,[],[184,69,167,13,5,4])).
% 3.42/3.54 cnf(197,plain,
% 3.42/3.54 (~P1(a2,f1(a2,a3,x1971,x1972),f4(a2,x1973,a2,a2,f4(a2,a2,a2,a2,a2)))),
% 3.42/3.54 inference(scs_inference,[],[171,107,5])).
% 3.42/3.54 cnf(207,plain,
% 3.42/3.54 (P1(f4(x2071,x2071,x2071,x2071,x2071),x2071,x2071)),
% 3.42/3.54 inference(rename_variables,[],[93])).
% 3.42/3.54 cnf(209,plain,
% 3.42/3.54 (P1(f4(x2091,x2091,x2091,x2091,x2091),f4(x2091,f4(x2091,x2091,x2091,x2091,x2091),x2091,f1(x2092,x2091,x2093,x2093),x2091),x2091)),
% 3.42/3.54 inference(scs_inference,[],[59,187,93,207,25,13,5,4,7,8])).
% 3.42/3.54 cnf(216,plain,
% 3.42/3.54 (~P3(f1(x2161,a2,x2162,x2162),f1(x2163,f1(a2,a3,x2164,x2165),x2166,x2166))),
% 3.42/3.54 inference(scs_inference,[],[59,209,64,87,5,4])).
% 3.42/3.54 cnf(219,plain,
% 3.42/3.54 (~P1(a2,f1(a2,a3,x2191,x2192),f1(x2193,a2,x2194,x2194))),
% 3.42/3.54 inference(scs_inference,[],[59,107,5])).
% 3.42/3.54 cnf(220,plain,
% 3.42/3.54 (P1(x2201,x2201,f1(x2202,x2201,x2203,x2203))),
% 3.42/3.54 inference(rename_variables,[],[59])).
% 3.42/3.54 cnf(222,plain,
% 3.42/3.54 (~P3(f1(x2221,f4(a3,a3,a3,a3,a3),x2222,x2222),f4(a2,a2,a2,a2,a2))),
% 3.42/3.54 inference(scs_inference,[],[59,190,180,107,5,4])).
% 3.42/3.54 cnf(227,plain,
% 3.42/3.54 (P1(x2271,f4(f4(x2271,x2271,x2271,x2271,x2271),x2271,x2271,f1(x2272,x2271,x2273,x2273),x2271),x2271)),
% 3.42/3.54 inference(scs_inference,[],[64,59,220,216,190,180,107,5,4,6,8])).
% 3.42/3.54 cnf(231,plain,
% 3.42/3.54 (P1(f1(x2311,x2312,x2313,x2313),f4(x2312,x2312,x2312,x2312,x2312),f4(f4(x2312,x2312,x2312,x2312,x2312),x2312,x2312,f1(x2311,x2312,x2313,x2313),x2312))),
% 3.42/3.54 inference(scs_inference,[],[64,59,7])).
% 3.42/3.54 cnf(234,plain,
% 3.42/3.54 (~P1(a2,f1(a2,a3,x2341,x2342),a2)),
% 3.42/3.54 inference(scs_inference,[],[64,59,197,177,7,5])).
% 3.42/3.54 cnf(241,plain,
% 3.42/3.54 (P1(f1(x2411,x2411,x2412,x2413),f4(x2411,f1(x2411,x2411,x2412,x2413),x2411,f1(x2414,x2411,x2415,x2415),x2411),x2411)),
% 3.42/3.55 inference(scs_inference,[],[59,227,116,5,8])).
% 3.42/3.55 cnf(251,plain,
% 3.42/3.55 (P1(f1(x2511,x2512,x2513,x2513),x2512,f4(x2512,f1(x2512,x2512,x2514,x2515),x2512,f1(x2511,x2512,x2513,x2513),x2512))),
% 3.42/3.55 inference(scs_inference,[],[59,219,167,116,5,7])).
% 3.42/3.55 cnf(260,plain,
% 3.42/3.55 (P1(x2601,f4(f4(x2601,x2601,x2601,x2601,x2601),x2601,f4(x2601,x2601,x2601,x2601,x2601),x2601,x2601),f4(x2601,x2601,x2601,x2601,x2601))),
% 3.42/3.55 inference(scs_inference,[],[64,222,234,187,93,5,6,8])).
% 3.42/3.55 cnf(266,plain,
% 3.42/3.55 (P1(x2661,x2662,f4(f4(x2662,x2662,x2662,x2662,x2662),x2662,f4(x2662,x2662,x2662,x2662,x2662),x2662,x2662))),
% 3.42/3.55 inference(scs_inference,[],[260,167,5])).
% 3.42/3.55 cnf(273,plain,
% 3.42/3.55 (P1(f1(x2731,x2731,x2732,x2733),f4(x2731,f1(x2731,x2731,x2732,x2733),x2731,f1(x2734,x2731,x2735,x2735),x2731),f1(x2736,x2731,x2737,x2737))),
% 3.42/3.55 inference(scs_inference,[],[266,241,83,13,5,4])).
% 3.42/3.55 cnf(276,plain,
% 3.42/3.55 (P1(x2761,x2762,f4(x2762,x2762,x2762,x2762,f4(x2762,x2762,x2762,x2762,x2762)))),
% 3.42/3.55 inference(scs_inference,[],[135,1,5])).
% 3.42/3.55 cnf(280,plain,
% 3.42/3.55 (P1(x2801,x2802,x2802)),
% 3.42/3.55 inference(scs_inference,[],[276,171,5])).
% 3.42/3.55 cnf(295,plain,
% 3.42/3.55 (P1(x2951,f1(x2952,x2952,x2953,x2953),f4(x2952,f1(x2952,x2952,x2953,x2953),x2952,f1(x2954,x2952,x2955,x2955),x2952))),
% 3.42/3.55 inference(scs_inference,[],[273,280,5])).
% 3.42/3.55 cnf(299,plain,
% 3.42/3.55 (P1(x2991,f1(x2992,x2992,x2993,x2993),x2992)),
% 3.42/3.55 inference(scs_inference,[],[251,295,5])).
% 3.42/3.55 cnf(310,plain,
% 3.42/3.55 (P1(x3101,f4(f4(x3101,x3101,x3101,x3101,x3101),x3101,x3102,x3101,f1(x3101,x3101,x3103,x3103)),x3102)),
% 3.42/3.55 inference(scs_inference,[],[98,299,167,7,8])).
% 3.42/3.55 cnf(322,plain,
% 3.42/3.55 (P1(x3221,x3222,x3222)),
% 3.42/3.55 inference(rename_variables,[],[280])).
% 3.42/3.55 cnf(324,plain,
% 3.42/3.55 (P1(x3241,x3242,f4(f4(x3242,x3242,x3242,x3242,x3242),x3242,x3242,x3242,f1(x3242,x3242,x3243,x3243)))),
% 3.42/3.55 inference(scs_inference,[],[98,310,280,322,8,5])).
% 3.42/3.55 cnf(328,plain,
% 3.42/3.55 (P1(x3281,x3282,f4(f4(x3282,x3282,x3282,x3282,x3282),x3282,x3282,f1(x3283,x3282,x3284,x3284),x3282))),
% 3.42/3.55 inference(scs_inference,[],[227,280,5])).
% 3.42/3.55 cnf(356,plain,
% 3.42/3.55 (~P1(a2,a2,f4(f1(a2,a3,x3561,x3562),f1(a2,a3,x3561,x3562),f1(a2,a3,x3561,x3562),f1(a2,a3,x3561,x3562),f1(a2,a3,x3561,x3562)))),
% 3.42/3.55 inference(scs_inference,[],[107,167,5])).
% 3.42/3.55 cnf(371,plain,
% 3.42/3.55 (P1(x3711,x3712,f4(x3712,x3712,x3712,f1(x3712,x3712,x3713,x3714),x3712))),
% 3.42/3.55 inference(scs_inference,[],[119,1,5])).
% 3.42/3.55 cnf(379,plain,
% 3.42/3.55 (P1(f1(x3791,x3792,x3793,x3793),f4(x3792,x3792,x3792,x3792,x3792),x3792)),
% 3.42/3.55 inference(scs_inference,[],[231,328,5])).
% 3.42/3.55 cnf(395,plain,
% 3.42/3.55 (P1(f1(x3951,x3952,x3953,x3953),f4(x3952,x3952,x3952,x3952,x3952),f1(x3954,x3952,x3955,x3955))),
% 3.42/3.55 inference(scs_inference,[],[379,324,234,13,5,4])).
% 3.42/3.55 cnf(416,plain,
% 3.42/3.55 (P1(x4161,f1(x4162,x4162,x4163,x4163),f4(x4162,x4162,x4162,x4162,x4162))),
% 3.42/3.55 inference(scs_inference,[],[379,371,299,190,4,5])).
% 3.42/3.55 cnf(461,plain,
% 3.42/3.55 (P1(x4611,x4612,f1(x4612,x4612,x4613,x4613))),
% 3.42/3.55 inference(scs_inference,[],[167,416,5])).
% 3.42/3.55 cnf(486,plain,
% 3.42/3.55 (P1(x4861,f1(x4862,x4863,x4864,x4864),f4(x4863,x4863,x4863,x4863,x4863))),
% 3.42/3.55 inference(scs_inference,[],[395,280,5])).
% 3.42/3.55 cnf(697,plain,
% 3.42/3.55 (P1(x6971,x6972,f1(x6973,f1(x6972,x6972,x6974,x6974),x6975,x6975))),
% 3.42/3.55 inference(scs_inference,[],[461,13,4])).
% 3.42/3.55 cnf(746,plain,
% 3.42/3.55 (P1(x7461,f1(x7462,x7462,x7463,x7463),f1(x7464,x7462,x7465,x7465))),
% 3.42/3.55 inference(scs_inference,[],[260,299,486,13,5,4])).
% 3.42/3.55 cnf(770,plain,
% 3.42/3.55 (~P1(a2,f1(a2,a3,x7701,x7702),f4(f4(a2,a2,a2,a2,a2),a2,f4(a2,a2,a2,a2,a2),a2,a2))),
% 3.42/3.55 inference(scs_inference,[],[266,234,5])).
% 3.42/3.55 cnf(816,plain,
% 3.42/3.55 (P1(x8161,x8161,f4(x8161,x8162,x8162,x8161,x8161))),
% 3.42/3.55 inference(scs_inference,[],[280,770,486,5,7])).
% 3.42/3.55 cnf(818,plain,
% 3.42/3.55 (P1(x8181,f4(x8182,x8181,x8181,x8182,x8182),x8181)),
% 3.42/3.55 inference(scs_inference,[],[280,770,486,5,7,8])).
% 3.42/3.55 cnf(829,plain,
% 3.42/3.55 (P1(x8291,f4(x8292,x8291,x8291,x8292,x8292),x8291)),
% 3.42/3.55 inference(rename_variables,[],[818])).
% 3.42/3.55 cnf(832,plain,
% 3.42/3.55 (P1(x8321,f4(x8322,x8321,x8321,x8322,x8322),f1(x8323,x8321,x8324,x8324))),
% 3.42/3.55 inference(scs_inference,[],[818,829,746,13,5,4])).
% 3.42/3.55 cnf(835,plain,
% 3.42/3.55 (P1(x8351,f4(x8352,x8351,x8351,x8352,x8352),f1(f1(x8353,x8351,x8354,x8354),f1(x8353,x8351,x8354,x8354),x8355,x8355))),
% 3.42/3.55 inference(scs_inference,[],[299,832,5])).
% 3.42/3.55 cnf(845,plain,
% 3.42/3.55 (P1(x8451,x8452,f4(x8453,x8452,x8452,x8453,x8453))),
% 3.42/3.55 inference(scs_inference,[],[835,697,5])).
% 3.42/3.55 cnf(854,plain,
% 3.42/3.55 ($false),
% 3.42/3.55 inference(scs_inference,[],[845,356,816,5]),
% 3.42/3.55 ['proof']).
% 3.42/3.55 % SZS output end Proof
% 3.42/3.55 % Total time :2.920000s
%------------------------------------------------------------------------------