TSTP Solution File: GEO222+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 22:43:50 EDT 2023
% Result : Theorem 0.59s 0.91s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 19:54:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.59/0.90 %-------------------------------------------
% 0.59/0.90 % File :CSE---1.6
% 0.59/0.90 % Problem :theBenchmark
% 0.59/0.90 % Transform :cnf
% 0.59/0.90 % Format :tptp:raw
% 0.59/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.90
% 0.59/0.90 % Result :Theorem 0.260000s
% 0.59/0.90 % Output :CNFRefutation 0.260000s
% 0.59/0.90 %-------------------------------------------
% 0.59/0.91 %------------------------------------------------------------------------------
% 0.59/0.91 % File : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.59/0.91 % Domain : Geometry (Constructive)
% 0.59/0.91 % Problem : Parallel to orthogonal to orthogonal
% 0.59/0.91 % Version : [vPl95] axioms : Especial.
% 0.59/0.91 % English : A line L is parallel to the line, that is orthogonal to the
% 0.59/0.91 % orthogonal to L through A, and goes through A as well.
% 0.59/0.91
% 0.59/0.91 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.59/0.91 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.59/0.91 % Source : [ILTP]
% 0.59/0.91 % Names : Theorem 8.9 [vPl95]
% 0.59/0.91
% 0.59/0.91 % Status : Theorem
% 0.59/0.91 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.35 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 0.59/0.91 % Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% 0.59/0.91 % Number of atoms : 57 ( 0 equ)
% 0.59/0.91 % Maximal formula atoms : 6 ( 2 avg)
% 0.59/0.91 % Number of connectives : 46 ( 12 ~; 16 |; 4 &)
% 0.59/0.91 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 0.59/0.91 % Maximal formula depth : 9 ( 5 avg)
% 0.59/0.91 % Maximal term depth : 3 ( 1 avg)
% 0.59/0.91 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.59/0.91 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.59/0.91 % Number of variables : 55 ( 55 !; 0 ?)
% 0.59/0.91 % SPC : FOF_THM_RFO_NEQ
% 0.59/0.91
% 0.59/0.91 % Comments : Definitions unfolded, hence Especial.
% 0.59/0.91 %------------------------------------------------------------------------------
% 0.59/0.91 include('Axioms/GEO006+0.ax').
% 0.59/0.91 include('Axioms/GEO006+2.ax').
% 0.59/0.91 include('Axioms/GEO006+3.ax').
% 0.59/0.91 %------------------------------------------------------------------------------
% 0.59/0.91 fof(con,conjecture,
% 0.59/0.91 ! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 0.59/0.91
% 0.59/0.91 %------------------------------------------------------------------------------
% 0.59/0.91 %-------------------------------------------
% 0.59/0.91 % Proof found
% 0.59/0.91 % SZS status Theorem for theBenchmark
% 0.59/0.91 % SZS output start Proof
% 0.59/0.91 %ClaNum:26(EqnAxiom:0)
% 0.59/0.91 %VarNum:132(SingletonVarNum:59)
% 0.59/0.91 %MaxLitNum:6
% 0.59/0.91 %MaxfuncDepth:2
% 0.59/0.91 %SharedTerms:5
% 0.59/0.91 %goalClause: 1
% 0.59/0.91 %singleGoalClaCount:1
% 0.59/0.91 [1]P1(a1,f3(f3(a1,a2),a2))
% 0.59/0.91 [2]~P3(x21,x21)
% 0.59/0.91 [3]~P4(x31,x31)
% 0.59/0.91 [4]~P1(x41,x41)
% 0.59/0.91 [5]~P2(x51,f6(x52,x51))
% 0.59/0.91 [6]~P2(x61,f3(x62,x61))
% 0.59/0.91 [7]~P1(f6(x71,x72),x71)
% 0.59/0.91 [8]~P5(f3(x81,x82),x81)
% 0.59/0.91 [9]P5(x91,x92)+P1(x91,x92)
% 0.59/0.91 [22]~P3(x221,x222)+~P2(x222,f4(x221,x222))
% 0.59/0.91 [23]~P3(x231,x232)+~P2(x231,f4(x231,x232))
% 0.59/0.91 [24]~P1(x241,x242)+~P2(f5(x241,x242),x242)
% 0.59/0.91 [25]~P1(x251,x252)+~P2(f5(x251,x252),x251)
% 0.59/0.91 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 0.59/0.91 [11]~P2(x111,x113)+P3(x111,x112)+P2(x112,x113)
% 0.59/0.91 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.59/0.91 [13]~P1(x133,x131)+P4(x131,x132)+P1(x133,x132)
% 0.59/0.91 [14]~P2(x143,x141)+P4(x141,x142)+P2(x143,x142)
% 0.59/0.91 [15]~P1(x153,x151)+P1(x151,x152)+P1(x153,x152)
% 0.59/0.91 [16]P2(x163,x161)+~P4(x161,x162)+P1(x161,x162)+P2(x163,x162)
% 0.59/0.91 [18]~P1(x181,x183)+~P5(x181,x183)+P1(x181,x182)+P5(x183,x182)
% 0.59/0.91 [19]~P1(x193,x191)+~P5(x193,x191)+P1(x191,x192)+P5(x193,x192)
% 0.59/0.91 [20]~P1(x201,x203)+~P5(x201,x203)+P5(x201,x202)+P5(x203,x202)
% 0.59/0.91 [21]P5(x213,x214)+~P4(x213,x212)+P2(x211,x212)+P2(x211,x213)+P5(x212,x214)
% 0.59/0.91 [26]P2(x264,x263)+~P3(x264,x261)+~P4(x263,x262)+P2(x261,x262)+P2(x261,x263)+P2(x264,x262)
% 0.59/0.91 %EqnAxiom
% 0.59/0.91
% 0.59/0.91 %-------------------------------------------
% 0.59/0.91 cnf(28,plain,
% 0.59/0.91 (P1(f3(f3(a1,a2),a2),a1)),
% 0.59/0.91 inference(scs_inference,[],[1,4,9,15])).
% 0.59/0.91 cnf(29,plain,
% 0.59/0.91 (~P1(x291,x291)),
% 0.59/0.91 inference(rename_variables,[],[4])).
% 0.59/0.91 cnf(31,plain,
% 0.59/0.91 (P4(f3(f3(a1,a2),a2),a1)),
% 0.59/0.91 inference(scs_inference,[],[1,4,29,9,15,13])).
% 0.59/0.91 cnf(37,plain,
% 0.59/0.91 (~P5(a1,f3(f3(a1,a2),a2))+P5(a1,f3(a1,a2))),
% 0.59/0.91 inference(scs_inference,[],[1,3,4,29,8,9,15,13,12,20])).
% 0.59/0.91 cnf(40,plain,
% 0.59/0.91 (~P4(f6(f3(x401,x402),x402),f3(x401,x402))),
% 0.59/0.91 inference(scs_inference,[],[1,3,4,29,5,6,7,8,9,15,13,12,20,16])).
% 0.59/0.91 cnf(48,plain,
% 0.59/0.91 (P1(f3(x481,x482),x481)),
% 0.59/0.91 inference(scs_inference,[],[8,9])).
% 0.59/0.91 cnf(50,plain,
% 0.59/0.91 (P1(f3(f6(x501,x502),x503),x501)),
% 0.59/0.91 inference(scs_inference,[],[7,8,9,15])).
% 0.59/0.91 cnf(65,plain,
% 0.59/0.91 (~P1(x651,f6(x651,x652))),
% 0.59/0.91 inference(scs_inference,[],[4,7,9,15])).
% 0.59/0.91 cnf(68,plain,
% 0.59/0.91 (~P2(f5(f3(x681,x682),x681),f3(x681,x682))),
% 0.59/0.91 inference(scs_inference,[],[4,7,48,9,15,25])).
% 0.59/0.91 cnf(72,plain,
% 0.59/0.91 (~P5(f3(x721,x722),x721)),
% 0.59/0.91 inference(rename_variables,[],[8])).
% 0.59/0.91 cnf(74,plain,
% 0.59/0.91 (~P1(a1,f3(a1,a2))+P2(a2,a1)),
% 0.59/0.91 inference(scs_inference,[],[4,6,7,8,72,48,31,9,15,25,21,18])).
% 0.59/0.91 cnf(96,plain,
% 0.59/0.91 (~P2(f5(f3(x961,x962),x961),x961)),
% 0.59/0.91 inference(scs_inference,[],[48,24])).
% 0.59/0.91 cnf(104,plain,
% 0.59/0.91 (~P2(f5(f3(x1041,x1042),x1041),f6(f3(x1041,x1042),x1042))),
% 0.59/0.91 inference(scs_inference,[],[68,40,14])).
% 0.59/0.91 cnf(109,plain,
% 0.59/0.91 (~P5(f3(f6(x1091,x1092),x1093),x1091)),
% 0.59/0.91 inference(scs_inference,[],[8,50,65,19])).
% 0.59/0.91 cnf(113,plain,
% 0.59/0.91 (~P1(f6(f3(x1131,x1132),x1133),f6(f3(x1131,x1132),x1132))),
% 0.59/0.91 inference(scs_inference,[],[7,8,50,40,65,19,13])).
% 0.59/0.92 cnf(117,plain,
% 0.59/0.92 (~P1(x1171,f6(x1171,x1172))),
% 0.59/0.92 inference(rename_variables,[],[65])).
% 0.59/0.92 cnf(119,plain,
% 0.59/0.92 (P1(f3(f3(a1,a2),a2),f6(a1,x1191))),
% 0.59/0.92 inference(scs_inference,[],[28,65,117,1,18,15])).
% 0.59/0.92 cnf(122,plain,
% 0.59/0.92 (~P1(f6(f6(x1221,x1222),x1223),x1221)),
% 0.59/0.92 inference(scs_inference,[],[7,65,15])).
% 0.59/0.92 cnf(131,plain,
% 0.59/0.92 (~P1(f6(f6(x1311,x1312),x1313),f6(x1311,x1314))),
% 0.59/0.92 inference(scs_inference,[],[7,122,15])).
% 0.59/0.92 cnf(132,plain,
% 0.59/0.92 (~P1(f6(f6(x1321,x1322),x1323),x1321)),
% 0.59/0.92 inference(rename_variables,[],[122])).
% 0.59/0.92 cnf(134,plain,
% 0.59/0.92 (P2(x1341,f6(f6(x1342,x1341),x1343))+~P4(f6(f6(x1342,x1341),x1343),f6(x1342,x1341))),
% 0.59/0.92 inference(scs_inference,[],[7,122,5,15,16])).
% 0.59/0.92 cnf(135,plain,
% 0.59/0.92 (~P1(f6(x1351,x1352),x1351)),
% 0.59/0.92 inference(rename_variables,[],[7])).
% 0.59/0.92 cnf(139,plain,
% 0.59/0.92 (~P5(f6(x1391,x1392),f3(x1391,x1393))+~P1(f6(x1391,x1392),f3(x1391,x1393))),
% 0.59/0.92 inference(scs_inference,[],[7,135,8,122,132,5,15,16,9,18])).
% 0.59/0.92 cnf(142,plain,
% 0.59/0.92 (~P5(f3(x1421,x1422),f3(f6(x1421,x1423),x1424))+~P1(f3(x1421,x1422),f3(f6(x1421,x1423),x1424))),
% 0.59/0.92 inference(scs_inference,[],[7,135,8,122,132,109,5,15,16,9,18,20])).
% 0.59/0.92 cnf(147,plain,
% 0.59/0.92 (~P2(x1471,f3(x1472,x1471))),
% 0.59/0.92 inference(rename_variables,[],[6])).
% 0.59/0.92 cnf(148,plain,
% 0.59/0.92 (~P2(x1481,f6(x1482,x1481))),
% 0.59/0.92 inference(rename_variables,[],[5])).
% 0.59/0.92 cnf(150,plain,
% 0.59/0.92 (~P4(f6(f6(x1501,x1502),x1502),f6(x1501,x1502))),
% 0.59/0.92 inference(scs_inference,[],[6,65,5,148,16,134])).
% 0.59/0.92 cnf(151,plain,
% 0.59/0.92 (~P2(x1511,f6(x1512,x1511))),
% 0.59/0.92 inference(rename_variables,[],[5])).
% 0.59/0.92 cnf(153,plain,
% 0.59/0.92 (P5(f6(x1531,x1532),x1533)+~P4(f6(x1531,x1532),f3(x1533,x1532))),
% 0.59/0.92 inference(scs_inference,[],[6,147,8,65,5,148,151,16,134,21])).
% 0.59/0.92 cnf(157,plain,
% 0.59/0.92 (~P1(f6(x1571,x1572),f6(f6(x1571,x1573),x1574))),
% 0.59/0.92 inference(scs_inference,[],[6,147,7,8,122,65,5,148,151,16,134,21,15])).
% 0.59/0.92 cnf(160,plain,
% 0.59/0.92 (P1(x1601,f3(x1601,x1602))),
% 0.59/0.92 inference(scs_inference,[],[48,4,15])).
% 0.59/0.92 cnf(163,plain,
% 0.59/0.92 (P2(a2,a1)),
% 0.59/0.92 inference(scs_inference,[],[48,4,15,74])).
% 0.59/0.92 cnf(164,plain,
% 0.59/0.92 (~P2(f5(a1,f3(a1,a2)),a1)),
% 0.59/0.92 inference(scs_inference,[],[48,4,15,74,25])).
% 0.59/0.92 cnf(182,plain,
% 0.59/0.92 (P3(a2,f5(a1,f3(a1,a2)))),
% 0.59/0.92 inference(scs_inference,[],[163,164,11])).
% 0.59/0.92 cnf(184,plain,
% 0.59/0.92 (~P1(f6(f6(x1841,x1842),x1843),f6(f6(x1841,x1842),x1842))),
% 0.59/0.92 inference(scs_inference,[],[7,163,164,150,11,13])).
% 0.59/0.92 cnf(187,plain,
% 0.59/0.92 (P1(x1871,f6(f3(x1871,x1872),x1873))),
% 0.59/0.92 inference(scs_inference,[],[7,160,163,164,150,65,11,13,15])).
% 0.59/0.92 cnf(190,plain,
% 0.59/0.92 (~P2(f5(x1901,f3(x1901,x1902)),f3(x1901,x1902))),
% 0.59/0.92 inference(scs_inference,[],[7,160,163,164,150,65,11,13,15,24])).
% 0.59/0.92 cnf(192,plain,
% 0.59/0.92 (P4(a1,f6(x1921,a2))),
% 0.59/0.92 inference(scs_inference,[],[7,160,163,164,150,65,5,11,13,15,24,14])).
% 0.59/0.92 cnf(202,plain,
% 0.59/0.92 (P4(a1,f3(x2021,a2))),
% 0.59/0.92 inference(scs_inference,[],[40,182,192,2,10,12])).
% 0.59/0.92 cnf(203,plain,
% 0.59/0.92 (P4(a1,f6(x2031,a2))),
% 0.59/0.92 inference(rename_variables,[],[192])).
% 0.59/0.92 cnf(204,plain,
% 0.59/0.92 (~P4(f6(f3(x2041,x2042),x2042),f3(x2041,x2042))),
% 0.59/0.92 inference(rename_variables,[],[40])).
% 0.59/0.92 cnf(207,plain,
% 0.59/0.92 (~P1(x2071,x2071)),
% 0.59/0.92 inference(rename_variables,[],[4])).
% 0.59/0.92 cnf(209,plain,
% 0.59/0.92 (~P2(f5(x2091,f3(x2091,x2092)),f6(f3(x2091,x2092),x2092))),
% 0.59/0.92 inference(scs_inference,[],[50,40,204,190,182,192,2,4,10,12,13,14])).
% 0.59/0.92 cnf(212,plain,
% 0.59/0.92 (P5(f6(f3(a1,a2),a2),x2121)+P5(a1,x2121)),
% 0.59/0.92 inference(scs_inference,[],[50,40,204,190,182,192,203,2,164,4,10,12,13,14,21])).
% 0.59/0.92 cnf(217,plain,
% 0.59/0.92 (P1(x2171,f3(f6(x2171,x2172),x2173))),
% 0.59/0.92 inference(scs_inference,[],[50,40,204,190,184,182,192,203,2,164,4,207,10,12,13,14,21,9,15])).
% 0.59/0.92 cnf(227,plain,
% 0.59/0.92 (P1(f3(f6(x2271,x2272),x2273),f6(f6(x2271,x2274),x2275))),
% 0.59/0.92 inference(scs_inference,[],[48,157,15])).
% 0.59/0.92 cnf(239,plain,
% 0.59/0.92 (P4(x2391,f6(f3(x2391,x2392),x2393))),
% 0.59/0.92 inference(scs_inference,[],[48,65,13])).
% 0.59/0.92 cnf(240,plain,
% 0.59/0.92 (~P1(x2401,f6(x2401,x2402))),
% 0.59/0.92 inference(rename_variables,[],[65])).
% 0.59/0.92 cnf(244,plain,
% 0.59/0.92 (~P1(x2441,f6(f6(x2441,x2442),x2443))),
% 0.59/0.92 inference(scs_inference,[],[48,65,240,113,7,13,9,15])).
% 0.59/0.92 cnf(247,plain,
% 0.59/0.92 (~P2(f5(x2471,f3(x2471,x2472)),x2471)),
% 0.59/0.92 inference(scs_inference,[],[48,65,240,113,160,7,13,9,15,25])).
% 0.59/0.92 cnf(261,plain,
% 0.59/0.92 (~P2(f5(x2611,f3(x2611,x2612)),x2611)),
% 0.59/0.92 inference(rename_variables,[],[247])).
% 0.59/0.92 cnf(265,plain,
% 0.59/0.92 (~P5(f3(f6(x2651,x2652),x2653),f6(f6(x2651,x2654),x2655))),
% 0.59/0.92 inference(scs_inference,[],[247,239,227,209,104,109,122,96,26,19])).
% 0.59/0.92 cnf(269,plain,
% 0.59/0.92 (P2(f5(a1,f3(a1,x2691)),f6(a1,a2))),
% 0.59/0.92 inference(scs_inference,[],[65,247,261,239,227,209,104,109,122,192,96,26,19,16])).
% 0.59/0.92 cnf(271,plain,
% 0.59/0.92 (~P2(f5(x2711,f3(x2711,x2712)),x2711)),
% 0.59/0.92 inference(rename_variables,[],[247])).
% 0.59/0.92 cnf(277,plain,
% 0.59/0.92 (P4(f6(a1,a2),a1)),
% 0.59/0.92 inference(scs_inference,[],[65,247,261,271,239,227,131,209,150,104,109,122,192,96,26,19,16,13,14])).
% 0.59/0.92 cnf(295,plain,
% 0.59/0.92 (P2(x2951,f6(f6(x2952,x2951),x2953))+~P4(f6(x2952,x2951),f6(f6(x2952,x2951),x2953))),
% 0.59/0.92 inference(scs_inference,[],[65,5,16])).
% 0.59/0.92 cnf(298,plain,
% 0.59/0.92 (P3(f5(a1,f3(a1,x2981)),a2)),
% 0.59/0.92 inference(scs_inference,[],[65,269,5,16,11])).
% 0.59/0.92 cnf(301,plain,
% 0.59/0.92 (~P5(x3011,f3(f6(x3011,x3012),x3013))),
% 0.59/0.92 inference(scs_inference,[],[65,217,269,244,265,5,16,11,18])).
% 0.59/0.92 cnf(306,plain,
% 0.59/0.92 (~P5(x3061,f3(f6(x3061,x3062),x3063))),
% 0.59/0.92 inference(rename_variables,[],[301])).
% 0.59/0.92 cnf(308,plain,
% 0.59/0.92 (~P4(f6(x3081,x3082),f6(f6(x3081,x3082),x3082))),
% 0.59/0.92 inference(scs_inference,[],[301,5,212,295])).
% 0.59/0.92 cnf(311,plain,
% 0.59/0.92 (P3(a2,f5(a1,f3(a1,x3111)))),
% 0.59/0.92 inference(scs_inference,[],[301,298,2,5,212,295,10])).
% 0.59/0.92 cnf(317,plain,
% 0.59/0.92 (P4(x3171,f3(x3171,x3172))),
% 0.59/0.92 inference(scs_inference,[],[40,301,306,298,187,239,2,5,212,295,10,19,12])).
% 0.59/0.92 cnf(329,plain,
% 0.59/0.92 (P2(f5(f3(a1,x3291),a1),f6(a1,a2))),
% 0.59/0.92 inference(scs_inference,[],[96,65,308,277,119,265,160,7,18,13,16])).
% 0.59/0.92 cnf(333,plain,
% 0.59/0.92 (P2(f5(a1,f3(a1,a2)),f3(f3(a1,a2),x3331))+P2(a2,f3(f3(a1,a2),x3331))),
% 0.59/0.92 inference(scs_inference,[],[96,65,308,317,277,298,190,119,265,160,6,7,18,13,16,26])).
% 0.59/0.92 cnf(336,plain,
% 0.59/0.92 (P2(f5(a1,f3(a1,a2)),f3(f3(a1,a2),a2))),
% 0.59/0.92 inference(scs_inference,[],[6,333])).
% 0.59/0.92 cnf(339,plain,
% 0.59/0.92 (P5(f3(a1,a2),f3(f6(a1,x3391),x3392))),
% 0.59/0.92 inference(scs_inference,[],[68,96,202,301,6,333,21])).
% 0.59/0.92 cnf(341,plain,
% 0.59/0.92 (P4(a1,f3(x3411,a2))),
% 0.59/0.92 inference(rename_variables,[],[202])).
% 0.59/0.92 cnf(342,plain,
% 0.59/0.92 (~P2(f5(f3(x3421,x3422),x3421),f3(x3421,x3422))),
% 0.59/0.92 inference(rename_variables,[],[68])).
% 0.59/0.92 cnf(343,plain,
% 0.59/0.92 (~P2(f5(f3(x3431,x3432),x3431),x3431)),
% 0.59/0.92 inference(rename_variables,[],[96])).
% 0.59/0.92 cnf(345,plain,
% 0.59/0.92 (P4(f6(a1,a2),f3(a1,x3451))),
% 0.59/0.92 inference(scs_inference,[],[68,342,96,329,202,301,6,333,21,14])).
% 0.59/0.92 cnf(346,plain,
% 0.59/0.92 (~P2(f5(f3(x3461,x3462),x3461),f3(x3461,x3462))),
% 0.59/0.92 inference(rename_variables,[],[68])).
% 0.59/0.92 cnf(356,plain,
% 0.59/0.92 (~P3(f5(a1,f3(a1,a2)),f5(f3(a1,a2),a1))),
% 0.59/0.92 inference(scs_inference,[],[68,342,346,96,343,65,329,202,341,308,247,301,244,157,190,6,333,21,14,18,13,9,26])).
% 0.59/0.92 cnf(363,plain,
% 0.59/0.92 (~P1(f3(a1,a2),f3(f6(a1,x3631),x3632))),
% 0.59/0.92 inference(scs_inference,[],[339,142])).
% 0.59/0.92 cnf(368,plain,
% 0.59/0.92 (P2(f5(f3(a1,a2),a1),f3(f3(a1,a2),a2))),
% 0.59/0.92 inference(scs_inference,[],[336,356,339,311,142,10,11])).
% 0.59/0.92 cnf(373,plain,
% 0.59/0.92 (P1(f6(a1,a2),f3(a1,a2))),
% 0.59/0.92 inference(scs_inference,[],[336,356,339,345,311,269,308,6,5,142,10,11,14,16])).
% 0.59/0.92 cnf(378,plain,
% 0.59/0.92 (~P5(f6(a1,a2),f3(a1,a2))),
% 0.59/0.92 inference(scs_inference,[],[336,356,339,345,311,269,308,6,5,142,10,11,14,16,139])).
% 0.59/0.92 cnf(380,plain,
% 0.59/0.92 (P1(f3(x3801,x3802),f6(x3801,x3803))),
% 0.59/0.92 inference(scs_inference,[],[48,65,336,356,339,345,311,269,308,6,5,142,10,11,14,16,139,15])).
% 0.59/0.92 cnf(383,plain,
% 0.59/0.92 (~P4(f6(a1,a2),f3(f3(a1,a2),a2))),
% 0.59/0.92 inference(scs_inference,[],[378,153])).
% 0.59/0.92 cnf(388,plain,
% 0.59/0.92 (~P2(f5(f3(x3881,x3882),x3881),x3881)),
% 0.59/0.92 inference(rename_variables,[],[96])).
% 0.59/0.92 cnf(411,plain,
% 0.59/0.92 (~P5(a1,f3(f3(a1,a2),a2))),
% 0.59/0.92 inference(scs_inference,[],[48,104,68,96,388,380,378,368,363,317,163,301,119,160,8,153,25,11,24,14,20,21,19,13,37])).
% 0.59/0.92 cnf(419,plain,
% 0.59/0.92 (~P2(f5(f3(x4191,x4192),x4191),f3(x4191,x4192))),
% 0.59/0.92 inference(rename_variables,[],[68])).
% 0.59/0.92 cnf(426,plain,
% 0.59/0.92 (P4(f3(a1,a2),f6(f6(a1,a2),x4261))),
% 0.59/0.92 inference(scs_inference,[],[68,419,96,65,373,383,411,202,14,21,13])).
% 0.59/0.92 cnf(427,plain,
% 0.59/0.92 (~P1(x4271,f6(x4271,x4272))),
% 0.59/0.92 inference(rename_variables,[],[65])).
% 0.59/0.92 cnf(433,plain,
% 0.59/0.92 (~P4(f3(f3(a1,a2),a2),f6(a1,a2))),
% 0.59/0.92 inference(scs_inference,[],[68,419,96,65,427,373,383,411,202,3,192,14,21,13,16,12])).
% 0.59/0.92 cnf(452,plain,
% 0.59/0.92 ($false),
% 0.59/0.92 inference(scs_inference,[],[65,433,426,150,1,12,13]),
% 0.59/0.92 ['proof']).
% 0.59/0.92 % SZS output end Proof
% 0.59/0.92 % Total time :0.260000s
%------------------------------------------------------------------------------