TSTP Solution File: GEO185+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 22:43:26 EDT 2023
% Result : Theorem 0.58s 1.07s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n010.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 : Tue Aug 29 23:40:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.58/1.06 %-------------------------------------------
% 0.58/1.06 % File :CSE---1.6
% 0.58/1.07 % Problem :theBenchmark
% 0.58/1.07 % Transform :cnf
% 0.58/1.07 % Format :tptp:raw
% 0.58/1.07 % Command :java -jar mcs_scs.jar %d %s
% 0.58/1.07
% 0.58/1.07 % Result :Theorem 0.430000s
% 0.58/1.07 % Output :CNFRefutation 0.430000s
% 0.58/1.07 %-------------------------------------------
% 0.58/1.07 %------------------------------------------------------------------------------
% 0.58/1.07 % File : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% 0.58/1.07 % Domain : Geometry (Constructive)
% 0.58/1.07 % Problem : Lemma on symmetry and apartness
% 0.58/1.07 % Version : [vPl95] axioms.
% 0.58/1.07 % English : If the lines U and V are convergent, then the point that is
% 0.58/1.07 % equal to the intersection point is incident to both lines.
% 0.58/1.07
% 0.58/1.07 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.58/1.07 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.58/1.07 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.58/1.07 % Source : [Rat07]
% 0.58/1.07 % Names : Lemma 4.5.ii [vPl95]
% 0.58/1.07
% 0.58/1.07 % Status : Theorem
% 0.58/1.07 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0
% 0.58/1.07 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.58/1.07 % Number of atoms : 98 ( 0 equ)
% 0.58/1.07 % Maximal formula atoms : 6 ( 2 avg)
% 0.58/1.07 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 0.58/1.07 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.58/1.07 % Maximal formula depth : 9 ( 5 avg)
% 0.58/1.07 % Maximal term depth : 2 ( 1 avg)
% 0.58/1.07 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.58/1.07 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.58/1.07 % Number of variables : 85 ( 85 !; 0 ?)
% 0.58/1.07 % SPC : FOF_THM_RFO_NEQ
% 0.58/1.07
% 0.58/1.07 % Comments :
% 0.58/1.07 %------------------------------------------------------------------------------
% 0.58/1.07 include('Axioms/GEO006+0.ax').
% 0.58/1.07 include('Axioms/GEO006+1.ax').
% 0.58/1.07 include('Axioms/GEO006+2.ax').
% 0.58/1.07 include('Axioms/GEO006+3.ax').
% 0.58/1.07 include('Axioms/GEO006+4.ax').
% 0.58/1.07 include('Axioms/GEO006+5.ax').
% 0.58/1.07 include('Axioms/GEO006+6.ax').
% 0.58/1.07 %------------------------------------------------------------------------------
% 0.58/1.07 fof(con,conjecture,
% 0.58/1.07 ! [X,Y,U,V] :
% 0.58/1.07 ( ( distinct_points(X,Y)
% 0.58/1.07 & convergent_lines(U,V)
% 0.58/1.07 & equal_points(X,intersection_point(U,V)) )
% 0.58/1.07 => ( incident_point_and_line(X,U)
% 0.58/1.07 & incident_point_and_line(X,V) ) ) ).
% 0.58/1.07
% 0.58/1.07 %------------------------------------------------------------------------------
% 0.58/1.07 %-------------------------------------------
% 0.58/1.07 % Proof found
% 0.58/1.07 % SZS status Theorem for theBenchmark
% 0.58/1.07 % SZS output start Proof
% 0.58/1.07 %ClaNum:50(EqnAxiom:0)
% 0.58/1.07 %VarNum:218(SingletonVarNum:98)
% 0.58/1.07 %MaxLitNum:6
% 0.58/1.07 %MaxfuncDepth:1
% 0.58/1.07 %SharedTerms:10
% 0.58/1.07 %goalClause: 1 2 3 18
% 0.58/1.07 %singleGoalClaCount:3
% 0.58/1.07 [1]P1(a1,a2)
% 0.58/1.07 [2]P2(a3,a4)
% 0.58/1.07 [3]P5(a1,f5(a3,a4))
% 0.58/1.07 [4]~P1(x41,x41)
% 0.58/1.07 [5]~P4(x51,x51)
% 0.58/1.07 [6]~P2(x61,x61)
% 0.58/1.07 [7]~P3(x71,f6(x72,x71))
% 0.58/1.07 [8]~P3(x81,f7(x82,x81))
% 0.58/1.07 [9]~P2(f6(x91,x92),x91)
% 0.58/1.07 [10]~P7(f7(x101,x102),x101)
% 0.58/1.07 [18]~P9(a1,a3)+~P9(a1,a4)
% 0.58/1.07 [11]P5(x111,x112)+P1(x111,x112)
% 0.58/1.07 [12]P6(x121,x122)+P4(x121,x122)
% 0.58/1.07 [14]P7(x141,x142)+P2(x141,x142)
% 0.58/1.07 [15]P8(x151,x152)+P2(x151,x152)
% 0.58/1.07 [16]P9(x161,x162)+P3(x161,x162)
% 0.58/1.07 [17]P10(x171,x172)+P7(x171,x172)
% 0.58/1.07 [19]~P4(x191,x192)+P2(x191,x192)
% 0.58/1.07 [22]~P5(x221,x222)+~P1(x221,x222)
% 0.58/1.07 [23]~P6(x231,x232)+~P4(x231,x232)
% 0.58/1.07 [24]~P8(x241,x242)+~P2(x241,x242)
% 0.58/1.07 [25]~P9(x251,x252)+~P3(x251,x252)
% 0.58/1.07 [26]~P10(x261,x262)+~P7(x261,x262)
% 0.58/1.07 [46]~P1(x461,x462)+~P3(x462,f8(x461,x462))
% 0.58/1.07 [47]~P1(x471,x472)+~P3(x471,f8(x471,x472))
% 0.58/1.07 [48]~P2(x481,x482)+~P3(f5(x481,x482),x482)
% 0.58/1.07 [49]~P2(x491,x492)+~P3(f5(x491,x492),x491)
% 0.58/1.07 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 0.58/1.07 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 0.58/1.07 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.58/1.07 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 0.58/1.07 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 0.58/1.07 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 0.58/1.07 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 0.58/1.07 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 0.58/1.07 [33]~P2(x333,x332)+P7(x331,x332)+P7(x331,x333)
% 0.58/1.07 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f5(x351,x352))
% 0.58/1.07 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f8(x361,x362))
% 0.58/1.07 [38]~P2(x381,x383)+~P7(x381,x383)+P2(x381,x382)+P7(x383,x382)
% 0.58/1.07 [39]~P2(x392,x393)+~P7(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 0.58/1.07 [40]~P2(x402,x403)+~P7(x402,x403)+P2(x401,x402)+P7(x401,x403)
% 0.58/1.07 [41]~P2(x413,x411)+~P7(x413,x411)+P2(x411,x412)+P7(x413,x412)
% 0.58/1.07 [42]~P2(x423,x422)+~P7(x423,x422)+P2(x421,x422)+P7(x421,x423)
% 0.58/1.07 [43]~P2(x431,x433)+~P7(x431,x433)+P7(x431,x432)+P7(x433,x432)
% 0.58/1.07 [45]P7(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P7(x452,x454)
% 0.58/1.07 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 0.58/1.07 %EqnAxiom
% 0.58/1.07
% 0.58/1.07 %-------------------------------------------
% 0.58/1.08 cnf(53,plain,
% 0.58/1.08 (~P4(f6(x531,x532),x531)),
% 0.58/1.08 inference(scs_inference,[],[1,2,9,24,22,19])).
% 0.58/1.08 cnf(68,plain,
% 0.58/1.08 (~P7(f7(x681,x682),x681)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(70,plain,
% 0.58/1.08 (P2(a4,a3)),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,2,7,9,10,24,22,19,17,16,15,14,12,11,33,32])).
% 0.58/1.08 cnf(71,plain,
% 0.58/1.08 (~P2(x711,x711)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(74,plain,
% 0.58/1.08 (~P2(x741,x741)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(76,plain,
% 0.58/1.08 (P4(a3,a4)),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29])).
% 0.58/1.08 cnf(78,plain,
% 0.58/1.08 (P1(a2,a1)),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27])).
% 0.58/1.08 cnf(80,plain,
% 0.58/1.08 (~P3(f5(a3,a4),a3)),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,49])).
% 0.58/1.08 cnf(82,plain,
% 0.58/1.08 (~P3(f5(a3,a4),a4)),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,49,48])).
% 0.58/1.08 cnf(94,plain,
% 0.58/1.08 (~P3(x941,f6(f6(x942,x941),x943))),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,49,48,47,46,42,26,23,31])).
% 0.58/1.08 cnf(96,plain,
% 0.58/1.08 (~P7(a3,a4)+P7(a4,x961)+P7(a3,x961)),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,49,48,47,46,42,26,23,31,43])).
% 0.58/1.08 cnf(102,plain,
% 0.58/1.08 (P2(x1021,a4)+~P7(a3,a4)+~P7(a4,a3)+P2(x1021,f7(a3,x1022))),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,74,2,7,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,49,48,47,46,42,26,23,31,43,41,40,39])).
% 0.58/1.08 cnf(108,plain,
% 0.58/1.08 (~P7(a3,a4)+P3(a2,f7(a3,a1))+P3(a2,f6(x1081,a1))+~P7(a4,a3)+~P4(f6(x1081,a1),f7(a3,a1))),
% 0.58/1.08 inference(scs_inference,[],[1,4,5,6,71,74,2,7,8,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,49,48,47,46,42,26,23,31,43,41,40,39,38,45,50])).
% 0.58/1.08 cnf(111,plain,
% 0.58/1.08 (~P1(a1,f5(a3,a4))),
% 0.58/1.08 inference(scs_inference,[],[3,22])).
% 0.58/1.08 cnf(113,plain,
% 0.58/1.08 (P2(f7(x1131,x1132),x1131)),
% 0.58/1.08 inference(scs_inference,[],[3,10,22,14])).
% 0.58/1.08 cnf(115,plain,
% 0.58/1.08 (P7(f7(a4,x1151),a3)),
% 0.58/1.08 inference(scs_inference,[],[3,10,2,22,14,33])).
% 0.58/1.08 cnf(118,plain,
% 0.58/1.08 (~P4(x1181,f6(x1181,x1182))),
% 0.58/1.08 inference(scs_inference,[],[3,10,5,2,53,22,14,33,29])).
% 0.58/1.08 cnf(119,plain,
% 0.58/1.08 (~P4(f6(x1191,x1192),x1191)),
% 0.58/1.08 inference(rename_variables,[],[53])).
% 0.58/1.08 cnf(121,plain,
% 0.58/1.08 (P1(a2,f5(a3,a4))),
% 0.58/1.08 inference(scs_inference,[],[3,10,5,2,53,78,22,14,33,29,27])).
% 0.58/1.08 cnf(123,plain,
% 0.58/1.08 (~P2(f6(x1231,x1232),f6(x1231,x1233))),
% 0.58/1.08 inference(scs_inference,[],[3,9,10,5,2,53,119,78,22,14,33,29,27,30])).
% 0.58/1.08 cnf(153,plain,
% 0.58/1.08 (P2(f7(f6(x1531,x1532),x1533),x1531)),
% 0.58/1.08 inference(scs_inference,[],[9,113,32])).
% 0.58/1.08 cnf(154,plain,
% 0.58/1.08 (P2(f7(x1541,x1542),x1541)),
% 0.58/1.08 inference(rename_variables,[],[113])).
% 0.58/1.08 cnf(158,plain,
% 0.58/1.08 (P1(f5(a3,a4),a2)),
% 0.58/1.08 inference(scs_inference,[],[4,9,113,121,32,22,27])).
% 0.58/1.08 cnf(161,plain,
% 0.58/1.08 (P4(x1611,f7(x1611,x1612))),
% 0.58/1.08 inference(scs_inference,[],[4,9,6,113,154,121,32,22,27,30])).
% 0.58/1.08 cnf(167,plain,
% 0.58/1.08 (~P7(f7(x1671,x1672),x1671)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(169,plain,
% 0.58/1.08 (P4(f7(x1691,x1692),x1691)),
% 0.58/1.08 inference(scs_inference,[],[4,5,9,10,6,113,154,121,32,22,27,30,14,38,29])).
% 0.58/1.08 cnf(171,plain,
% 0.58/1.08 (P2(x1711,f7(x1711,x1712))),
% 0.58/1.08 inference(scs_inference,[],[4,5,9,10,6,113,154,121,32,22,27,30,14,38,29,19])).
% 0.58/1.08 cnf(174,plain,
% 0.58/1.08 (~P2(f6(x1741,x1742),x1741)),
% 0.58/1.08 inference(rename_variables,[],[9])).
% 0.58/1.08 cnf(179,plain,
% 0.58/1.08 (~P7(f7(x1791,x1792),f6(x1791,x1793))+~P2(f7(x1791,x1792),f6(x1791,x1793))),
% 0.58/1.08 inference(scs_inference,[],[4,5,9,174,10,167,6,113,154,94,121,32,22,27,30,14,38,29,19,102,108,41])).
% 0.58/1.08 cnf(180,plain,
% 0.58/1.08 (~P7(f7(x1801,x1802),x1801)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(182,plain,
% 0.58/1.08 (P3(x1821,f7(f7(x1822,x1821),x1823))+P7(f7(f7(x1822,x1821),x1823),x1822)),
% 0.58/1.08 inference(scs_inference,[],[4,5,8,9,174,10,167,180,6,113,154,94,121,32,22,27,30,14,38,29,19,102,108,41,45])).
% 0.58/1.08 cnf(190,plain,
% 0.58/1.08 (P7(f7(f7(x1901,x1902),x1902),x1901)),
% 0.58/1.08 inference(scs_inference,[],[8,182])).
% 0.58/1.08 cnf(191,plain,
% 0.58/1.08 (~P3(x1911,f7(x1912,x1911))),
% 0.58/1.08 inference(rename_variables,[],[8])).
% 0.58/1.08 cnf(193,plain,
% 0.58/1.08 (~P2(x1931,f6(x1931,x1932))),
% 0.58/1.08 inference(scs_inference,[],[8,6,9,182,32])).
% 0.58/1.08 cnf(197,plain,
% 0.58/1.08 (~P2(f6(x1971,x1972),f6(x1971,x1973))),
% 0.58/1.08 inference(rename_variables,[],[123])).
% 0.58/1.08 cnf(198,plain,
% 0.58/1.08 (P2(x1981,f7(x1981,x1982))),
% 0.58/1.08 inference(rename_variables,[],[171])).
% 0.58/1.08 cnf(199,plain,
% 0.58/1.08 (~P7(f7(x1991,x1992),x1991)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(201,plain,
% 0.58/1.08 (~P4(f6(x2011,x2012),f6(x2011,x2013))),
% 0.58/1.08 inference(scs_inference,[],[8,10,6,9,171,123,197,182,32,38,19])).
% 0.58/1.08 cnf(203,plain,
% 0.58/1.08 (~P7(x2031,f7(x2031,x2032))),
% 0.58/1.08 inference(scs_inference,[],[8,10,199,6,9,171,198,123,197,182,32,38,19,42])).
% 0.58/1.08 cnf(204,plain,
% 0.58/1.08 (~P2(x2041,x2041)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(205,plain,
% 0.58/1.08 (~P7(f7(x2051,x2052),x2051)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(209,plain,
% 0.58/1.08 (~P4(a4,f7(f7(a4,x2091),f5(a3,a4)))),
% 0.58/1.08 inference(scs_inference,[],[8,191,10,199,205,6,9,171,198,123,197,82,182,32,38,19,42,96,45])).
% 0.58/1.08 cnf(213,plain,
% 0.58/1.08 (~P2(f7(f7(a4,x2131),f5(a3,a4)),a4)),
% 0.58/1.08 inference(scs_inference,[],[8,191,10,199,205,6,204,9,171,198,123,197,82,182,32,38,19,42,96,45,30])).
% 0.58/1.08 cnf(221,plain,
% 0.58/1.08 (~P2(x2211,f7(f7(x2211,x2212),x2213))),
% 0.58/1.08 inference(scs_inference,[],[10,203,33])).
% 0.58/1.08 cnf(222,plain,
% 0.58/1.08 (~P7(x2221,f7(x2221,x2222))),
% 0.58/1.08 inference(rename_variables,[],[203])).
% 0.58/1.08 cnf(224,plain,
% 0.58/1.08 (P2(x2241,f7(f6(x2241,x2242),x2243))),
% 0.58/1.08 inference(scs_inference,[],[10,6,203,153,33,32])).
% 0.58/1.08 cnf(225,plain,
% 0.58/1.08 (~P2(x2251,x2251)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(227,plain,
% 0.58/1.08 (P4(x2271,f7(f6(x2271,x2272),x2273))),
% 0.58/1.08 inference(scs_inference,[],[10,6,225,203,153,33,32,30])).
% 0.58/1.08 cnf(228,plain,
% 0.58/1.08 (~P2(x2281,x2281)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(230,plain,
% 0.58/1.08 (~P3(f5(a3,a4),f8(f5(a3,a4),a2))),
% 0.58/1.08 inference(scs_inference,[],[10,6,225,203,153,158,33,32,30,47])).
% 0.58/1.08 cnf(233,plain,
% 0.58/1.08 (~P7(x2331,f7(x2331,x2332))),
% 0.58/1.08 inference(rename_variables,[],[203])).
% 0.58/1.08 cnf(243,plain,
% 0.58/1.08 (~P3(f5(a4,a3),a4)),
% 0.58/1.08 inference(scs_inference,[],[8,10,6,225,9,203,222,233,153,70,158,33,32,30,47,96,24,17,15,16,49])).
% 0.58/1.08 cnf(245,plain,
% 0.58/1.08 (~P3(f5(a4,a3),a3)),
% 0.58/1.08 inference(scs_inference,[],[8,10,6,225,9,203,222,233,153,70,158,33,32,30,47,96,24,17,15,16,49,48])).
% 0.58/1.08 cnf(251,plain,
% 0.58/1.08 (~P2(f7(f7(x2511,x2512),x2512),x2511)),
% 0.58/1.08 inference(scs_inference,[],[8,10,6,225,9,190,203,222,233,153,201,70,158,33,32,30,47,96,24,17,15,16,49,48,46,12,43])).
% 0.58/1.08 cnf(252,plain,
% 0.58/1.08 (~P7(x2521,f7(x2521,x2522))),
% 0.58/1.08 inference(rename_variables,[],[203])).
% 0.58/1.08 cnf(253,plain,
% 0.58/1.08 (~P7(f7(x2531,x2532),x2531)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(255,plain,
% 0.58/1.08 (P4(f7(f6(x2551,x2552),x2553),f6(x2551,x2554))),
% 0.58/1.08 inference(scs_inference,[],[8,10,6,225,9,190,203,222,233,153,201,70,158,161,33,32,30,47,96,24,17,15,16,49,48,46,12,43,29])).
% 0.58/1.08 cnf(257,plain,
% 0.58/1.08 (P2(f7(f6(x2571,x2572),x2573),f6(x2571,x2574))),
% 0.58/1.08 inference(scs_inference,[],[8,10,6,225,9,190,203,222,233,153,201,70,158,161,33,32,30,47,96,24,17,15,16,49,48,46,12,43,29,19])).
% 0.58/1.08 cnf(259,plain,
% 0.58/1.08 (~P4(f7(f7(a3,x2591),f5(a3,a4)),a3)),
% 0.58/1.08 inference(scs_inference,[],[8,10,253,6,225,9,190,203,222,233,252,153,201,70,158,161,80,33,32,30,47,96,24,17,15,16,49,48,46,12,43,29,19,45])).
% 0.58/1.08 cnf(260,plain,
% 0.58/1.08 (~P7(x2601,f7(x2601,x2602))),
% 0.58/1.08 inference(rename_variables,[],[203])).
% 0.58/1.08 cnf(261,plain,
% 0.58/1.08 (~P7(f7(x2611,x2612),x2611)),
% 0.58/1.08 inference(rename_variables,[],[10])).
% 0.58/1.08 cnf(274,plain,
% 0.58/1.08 (P7(f7(f6(x2741,x2742),x2743),x2741)+~P2(f7(a4,x2744),a3)+P2(f7(f7(a4,x2744),x2745),a3)),
% 0.58/1.08 inference(scs_inference,[],[8,10,253,261,6,225,228,9,190,203,222,233,252,260,153,201,70,158,161,115,80,33,32,30,47,96,24,17,15,16,49,48,46,12,43,29,19,45,26,23,38,40,42])).
% 0.58/1.08 cnf(277,plain,
% 0.58/1.08 (P7(f7(x2771,x2772),f7(f6(x2771,x2773),x2774))),
% 0.58/1.08 inference(scs_inference,[],[10,224,33])).
% 0.58/1.08 cnf(280,plain,
% 0.58/1.08 (~P4(f7(f7(x2801,x2802),x2802),x2801)),
% 0.58/1.08 inference(scs_inference,[],[10,251,224,33,19])).
% 0.58/1.08 cnf(287,plain,
% 0.58/1.08 (P4(f7(a4,x2871),f7(f7(a4,x2872),f5(a3,a4)))),
% 0.58/1.08 inference(scs_inference,[],[10,251,224,245,209,259,169,203,33,19,43,31,29])).
% 0.58/1.08 cnf(296,plain,
% 0.58/1.08 (~P3(x2961,f6(f7(x2962,x2961),x2963))),
% 0.58/1.08 inference(scs_inference,[],[53,8,31])).
% 0.58/1.08 cnf(302,plain,
% 0.58/1.08 (P4(f6(x3021,x3022),f7(f6(x3021,x3023),x3024))),
% 0.58/1.08 inference(scs_inference,[],[53,5,8,10,255,113,31,33,29])).
% 0.58/1.08 cnf(305,plain,
% 0.58/1.08 (P2(f7(a4,x3051),f7(f7(a4,x3052),f5(a3,a4)))),
% 0.58/1.08 inference(scs_inference,[],[53,5,8,10,255,287,113,31,33,29,19])).
% 0.58/1.08 cnf(309,plain,
% 0.58/1.08 (P7(x3091,f7(f7(x3091,x3092),x3093))),
% 0.58/1.08 inference(scs_inference,[],[53,5,8,10,255,287,221,78,113,31,33,29,19,22,14])).
% 0.58/1.08 cnf(324,plain,
% 0.58/1.08 (~P4(f7(f7(x3241,x3242),x3242),f6(x3241,x3243))),
% 0.58/1.08 inference(scs_inference,[],[53,280,29])).
% 0.58/1.08 cnf(332,plain,
% 0.58/1.08 (~P7(x3321,f7(f6(x3321,x3322),x3323))),
% 0.58/1.08 inference(scs_inference,[],[53,9,280,213,193,203,224,29,19,39,40])).
% 0.58/1.08 cnf(356,plain,
% 0.58/1.08 (~P4(f6(x3561,x3562),x3561)),
% 0.58/1.08 inference(rename_variables,[],[53])).
% 0.58/1.08 cnf(358,plain,
% 0.58/1.08 (P2(f6(x3581,x3582),f7(f6(x3581,x3583),x3584))),
% 0.58/1.08 inference(scs_inference,[],[53,7,302,111,255,28,29,19])).
% 0.58/1.08 cnf(374,plain,
% 0.58/1.08 (~P7(f7(a4,x3741),f7(f7(a4,x3742),f5(a3,a4)))),
% 0.58/1.08 inference(scs_inference,[],[53,356,7,10,332,302,305,296,111,255,221,213,121,28,29,19,47,24,16,12,15,17,46,41])).
% 0.58/1.08 cnf(378,plain,
% 0.58/1.08 (~P3(f5(x3781,f7(x3781,x3782)),x3781)),
% 0.58/1.08 inference(scs_inference,[],[53,356,7,10,332,302,305,296,111,255,221,213,171,121,28,29,19,47,24,16,12,15,17,46,41,49])).
% 0.58/1.08 cnf(389,plain,
% 0.58/1.08 (~P2(f6(x3891,x3892),f7(f7(x3891,x3893),x3893))),
% 0.58/1.08 inference(scs_inference,[],[53,356,7,6,10,324,332,227,309,302,305,296,257,111,255,221,213,171,121,28,29,19,47,24,16,12,15,17,46,41,49,48,26,23,33,30])).
% 0.58/1.08 cnf(405,plain,
% 0.58/1.08 (~P7(f6(x4051,x4052),f7(f6(x4051,x4053),x4054))),
% 0.58/1.08 inference(scs_inference,[],[10,358,123,171,203,33,40])).
% 0.58/1.08 cnf(410,plain,
% 0.58/1.08 (P4(f7(f7(a4,x4101),f5(a3,a4)),f7(a4,x4102))),
% 0.58/1.08 inference(scs_inference,[],[5,10,358,287,123,171,203,33,40,29])).
% 0.58/1.08 cnf(413,plain,
% 0.58/1.08 (~P7(f7(f6(x4131,x4132),x4133),x4131)),
% 0.58/1.08 inference(scs_inference,[],[5,6,10,358,287,123,332,171,203,153,33,40,29,38])).
% 0.58/1.08 cnf(414,plain,
% 0.58/1.08 (~P7(x4141,f7(f6(x4141,x4142),x4143))),
% 0.58/1.08 inference(rename_variables,[],[332])).
% 0.58/1.08 cnf(415,plain,
% 0.58/1.08 (~P2(x4151,x4151)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(417,plain,
% 0.58/1.08 (~P4(f6(x4171,x4172),f7(f7(x4171,x4173),x4173))),
% 0.58/1.08 inference(scs_inference,[],[5,6,10,389,358,287,123,332,171,203,153,33,40,29,38,19])).
% 0.58/1.08 cnf(420,plain,
% 0.58/1.08 (~P2(x4201,x4201)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(428,plain,
% 0.58/1.08 (P7(f6(x4281,x4282),f7(f7(a4,x4283),f5(a3,a4)))+~P4(f7(a4,x4282),f6(x4281,x4282))+P7(a3,f7(f6(a4,x4284),x4285))),
% 0.58/1.08 inference(scs_inference,[],[5,7,8,6,415,420,10,389,358,374,287,115,123,332,414,171,203,70,153,33,40,29,38,19,42,39,96,45])).
% 0.58/1.08 cnf(435,plain,
% 0.58/1.08 (P2(a4,f6(a3,x4351))),
% 0.58/1.08 inference(scs_inference,[],[118,70,30])).
% 0.58/1.08 cnf(436,plain,
% 0.58/1.08 (~P4(x4361,f6(x4361,x4362))),
% 0.58/1.08 inference(rename_variables,[],[118])).
% 0.58/1.08 cnf(438,plain,
% 0.58/1.08 (~P4(x4381,f6(f6(x4381,x4382),x4383))),
% 0.58/1.08 inference(scs_inference,[],[53,118,436,70,30,29])).
% 0.58/1.08 cnf(441,plain,
% 0.58/1.08 (P2(f7(f7(a4,x4411),f5(a3,a4)),f7(a4,x4412))),
% 0.58/1.08 inference(scs_inference,[],[53,410,118,436,70,30,29,19])).
% 0.58/1.08 cnf(443,plain,
% 0.58/1.08 (~P3(x4431,f6(x4432,x4433))),
% 0.58/1.08 inference(scs_inference,[],[53,8,417,410,118,436,70,30,29,19,31])).
% 0.58/1.08 cnf(448,plain,
% 0.58/1.08 (~P2(x4481,x4481)),
% 0.58/1.08 inference(rename_variables,[],[6])).
% 0.58/1.08 cnf(454,plain,
% 0.58/1.08 (~P2(f7(x4541,x4542),f7(f6(x4541,x4543),x4544))),
% 0.58/1.08 inference(scs_inference,[],[6,53,8,10,417,413,410,118,436,389,158,277,70,30,29,19,31,39,22,14,43])).
% 0.58/1.08 cnf(455,plain,
% 0.58/1.08 (~P7(f7(f6(x4551,x4552),x4553),x4551)),
% 0.58/1.08 inference(rename_variables,[],[413])).
% 0.58/1.08 cnf(460,plain,
% 0.58/1.08 (~P2(f7(f7(x4601,x4602),x4603),x4601)),
% 0.58/1.08 inference(scs_inference,[],[6,448,53,8,10,417,413,455,410,118,436,389,158,277,221,70,30,29,19,31,39,22,14,43,274,32])).
% 0.58/1.08 cnf(470,plain,
% 0.58/1.08 (~P2(f6(f6(x4701,x4702),x4703),x4701)),
% 0.58/1.09 inference(scs_inference,[],[6,438,30])).
% 0.58/1.09 cnf(471,plain,
% 0.58/1.09 (~P2(x4711,x4711)),
% 0.58/1.09 inference(rename_variables,[],[6])).
% 0.58/1.09 cnf(473,plain,
% 0.58/1.09 (~P4(f7(f7(x4731,x4732),x4733),x4731)),
% 0.58/1.09 inference(scs_inference,[],[6,438,460,30,19])).
% 0.58/1.09 cnf(475,plain,
% 0.58/1.09 (~P3(a1,f7(x4751,f5(a3,a4)))),
% 0.58/1.09 inference(scs_inference,[],[6,8,438,460,111,30,19,28])).
% 0.58/1.09 cnf(481,plain,
% 0.58/1.09 (P2(f6(a3,x4811),a4)),
% 0.58/1.09 inference(scs_inference,[],[6,471,8,438,460,435,378,243,76,245,111,30,19,28,50,32])).
% 0.58/1.09 cnf(484,plain,
% 0.58/1.09 (P4(a3,f6(f6(a4,x4841),x4842))),
% 0.58/1.09 inference(scs_inference,[],[6,471,8,438,460,435,378,243,76,245,111,30,19,28,50,32,29])).
% 0.58/1.09 cnf(499,plain,
% 0.58/1.09 (~P2(f6(f6(x4991,x4992),x4993),f6(x4991,x4994))),
% 0.58/1.09 inference(scs_inference,[],[9,470,32])).
% 0.58/1.09 cnf(513,plain,
% 0.58/1.09 (P2(a3,f6(f6(a4,x5131),x5132))),
% 0.58/1.09 inference(scs_inference,[],[53,9,10,470,473,484,481,441,460,389,32,30,38,29,19])).
% 0.58/1.09 cnf(553,plain,
% 0.58/1.09 (P2(a3,f6(a4,x5531))),
% 0.58/1.09 inference(scs_inference,[],[9,499,513,14,32])).
% 0.58/1.09 cnf(554,plain,
% 0.58/1.09 (~P2(f6(x5541,x5542),x5541)),
% 0.58/1.09 inference(rename_variables,[],[9])).
% 0.58/1.09 cnf(556,plain,
% 0.58/1.09 (P2(f7(a4,x5561),f6(a4,x5562))),
% 0.58/1.09 inference(scs_inference,[],[9,499,513,324,305,14,32,30])).
% 0.58/1.09 cnf(558,plain,
% 0.58/1.09 (~P4(f7(f7(x5581,x5582),x5582),f6(x5581,x5583))),
% 0.58/1.09 inference(rename_variables,[],[324])).
% 0.58/1.09 cnf(560,plain,
% 0.58/1.09 (P4(f7(a4,x5601),f6(a4,x5602))),
% 0.58/1.09 inference(scs_inference,[],[9,499,513,324,558,410,305,14,32,30,29])).
% 0.58/1.09 cnf(574,plain,
% 0.58/1.09 (~P7(f7(x5741,x5742),x5741)),
% 0.58/1.09 inference(rename_variables,[],[10])).
% 0.58/1.09 cnf(582,plain,
% 0.58/1.09 (~P7(f7(f6(x5821,x5822),x5823),f7(x5821,x5824))+~P2(f7(f6(x5821,x5822),x5823),f7(x5821,x5824))),
% 0.58/1.09 inference(scs_inference,[],[9,554,10,574,499,513,324,558,470,410,413,405,115,257,305,6,14,32,30,29,38,19,428,33,102,40,43])).
% 0.58/1.09 cnf(592,plain,
% 0.58/1.09 (P7(f7(f6(a4,x5921),x5922),f7(a4,x5923))),
% 0.58/1.09 inference(scs_inference,[],[10,556,230,111,179,28,33])).
% 0.58/1.09 cnf(595,plain,
% 0.58/1.09 (P2(f6(a4,x5951),f7(f7(a3,x5952),x5953))),
% 0.58/1.09 inference(scs_inference,[],[10,556,553,230,111,221,179,28,33,32])).
% 0.58/1.09 cnf(635,plain,
% 0.58/1.09 (~P4(f7(x6351,x6352),f7(f6(x6351,x6353),x6354))),
% 0.58/1.09 inference(scs_inference,[],[9,53,592,595,475,454,209,118,460,582,31,32,30,29,19])).
% 0.58/1.09 cnf(637,plain,
% 0.58/1.09 (P3(f5(a3,a4),f6(a4,x6371))+P3(a2,f7(a4,f5(a3,a4)))),
% 0.58/1.09 inference(scs_inference,[],[9,53,592,595,560,475,454,209,118,443,460,121,8,582,31,32,30,29,19,50])).
% 0.58/1.09 cnf(657,plain,
% 0.58/1.09 (P3(a2,f7(a4,f5(a3,a4)))),
% 0.58/1.09 inference(scs_inference,[],[443,637])).
% 0.58/1.09 cnf(721,plain,
% 0.58/1.09 ($false),
% 0.58/1.09 inference(scs_inference,[],[635,657,8,31]),
% 0.58/1.09 ['proof']).
% 0.58/1.09 % SZS output end Proof
% 0.58/1.09 % Total time :0.430000s
%------------------------------------------------------------------------------