TSTP Solution File: GEO183+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 22:43:25 EDT 2023
% Result : Theorem 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:16:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % File :CSE---1.6
% 0.52/0.64 % Problem :theBenchmark
% 0.52/0.64 % Transform :cnf
% 0.52/0.64 % Format :tptp:raw
% 0.52/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.64
% 0.52/0.64 % Result :Theorem 0.030000s
% 0.52/0.64 % Output :CNFRefutation 0.030000s
% 0.52/0.64 %-------------------------------------------
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 % File : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% 0.52/0.65 % Domain : Geometry (Constructive)
% 0.52/0.65 % Problem : Lemma on symmetry and apartness
% 0.52/0.65 % Version : [vPl95] axioms.
% 0.52/0.65 % English : If X and Y are distinct points, then they are incident with
% 0.52/0.65 % the line that is equal to the line connecting the points.
% 0.52/0.65
% 0.52/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.52/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.65 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.52/0.65 % Source : [Rat07]
% 0.52/0.65 % Names : Lemma 4.5.i [vPl95]
% 0.52/0.65
% 0.52/0.65 % Status : Theorem
% 0.52/0.65 % 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
% 0.52/0.65 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.52/0.65 % Number of atoms : 98 ( 0 equ)
% 0.52/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.52/0.65 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 0.52/0.65 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.52/0.65 % Maximal formula depth : 9 ( 5 avg)
% 0.52/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.65 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.52/0.65 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.52/0.65 % Number of variables : 85 ( 85 !; 0 ?)
% 0.52/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.65
% 0.52/0.65 % Comments :
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 include('Axioms/GEO006+0.ax').
% 0.52/0.65 include('Axioms/GEO006+1.ax').
% 0.52/0.65 include('Axioms/GEO006+2.ax').
% 0.52/0.65 include('Axioms/GEO006+3.ax').
% 0.52/0.65 include('Axioms/GEO006+4.ax').
% 0.52/0.65 include('Axioms/GEO006+5.ax').
% 0.52/0.65 include('Axioms/GEO006+6.ax').
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 fof(con,conjecture,
% 0.52/0.65 ! [X,Y,U,V] :
% 0.52/0.65 ( ( distinct_points(X,Y)
% 0.52/0.65 & convergent_lines(U,V)
% 0.52/0.65 & equal_lines(U,line_connecting(X,Y)) )
% 0.52/0.65 => ( incident_point_and_line(X,U)
% 0.52/0.65 & incident_point_and_line(Y,U) ) ) ).
% 0.52/0.65
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % Proof found
% 0.52/0.65 % SZS status Theorem for theBenchmark
% 0.52/0.65 % SZS output start Proof
% 0.52/0.65 %ClaNum:50(EqnAxiom:0)
% 0.52/0.65 %VarNum:218(SingletonVarNum:98)
% 0.52/0.65 %MaxLitNum:6
% 0.52/0.65 %MaxfuncDepth:1
% 0.52/0.65 %SharedTerms:10
% 0.52/0.65 %goalClause: 1 2 3 18
% 0.52/0.65 %singleGoalClaCount:3
% 0.52/0.65 [1]P1(a1,a2)
% 0.52/0.65 [2]P2(a3,a4)
% 0.52/0.65 [3]P5(a3,f5(a1,a2))
% 0.52/0.65 [4]~P1(x41,x41)
% 0.52/0.65 [5]~P4(x51,x51)
% 0.52/0.65 [6]~P2(x61,x61)
% 0.52/0.65 [7]~P3(x71,f7(x72,x71))
% 0.52/0.65 [8]~P3(x81,f8(x82,x81))
% 0.52/0.65 [9]~P2(f7(x91,x92),x91)
% 0.52/0.65 [10]~P6(f8(x101,x102),x101)
% 0.52/0.65 [18]~P9(a1,a3)+~P9(a2,a3)
% 0.52/0.65 [11]P7(x111,x112)+P1(x111,x112)
% 0.52/0.65 [12]P5(x121,x122)+P4(x121,x122)
% 0.52/0.65 [14]P6(x141,x142)+P2(x141,x142)
% 0.52/0.65 [15]P8(x151,x152)+P2(x151,x152)
% 0.52/0.65 [16]P9(x161,x162)+P3(x161,x162)
% 0.52/0.65 [17]P10(x171,x172)+P6(x171,x172)
% 0.52/0.65 [19]~P4(x191,x192)+P2(x191,x192)
% 0.52/0.65 [22]~P7(x221,x222)+~P1(x221,x222)
% 0.52/0.65 [23]~P5(x231,x232)+~P4(x231,x232)
% 0.52/0.65 [24]~P8(x241,x242)+~P2(x241,x242)
% 0.52/0.65 [25]~P9(x251,x252)+~P3(x251,x252)
% 0.52/0.65 [26]~P10(x261,x262)+~P6(x261,x262)
% 0.52/0.65 [46]~P1(x461,x462)+~P3(x462,f5(x461,x462))
% 0.52/0.65 [47]~P1(x471,x472)+~P3(x471,f5(x471,x472))
% 0.52/0.65 [48]~P2(x481,x482)+~P3(f6(x481,x482),x482)
% 0.52/0.65 [49]~P2(x491,x492)+~P3(f6(x491,x492),x491)
% 0.52/0.65 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 0.52/0.65 [21]~P12(x212)+~P11(x211)+P11(f8(x211,x212))
% 0.52/0.65 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.52/0.65 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 0.52/0.65 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 0.52/0.65 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 0.52/0.65 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 0.52/0.65 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 0.52/0.65 [33]~P2(x333,x332)+P6(x331,x332)+P6(x331,x333)
% 0.52/0.65 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f6(x351,x352))
% 0.52/0.65 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f5(x361,x362))
% 0.52/0.65 [38]~P2(x381,x383)+~P6(x381,x383)+P2(x381,x382)+P6(x383,x382)
% 0.52/0.65 [39]~P2(x392,x393)+~P6(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 0.52/0.65 [40]~P2(x402,x403)+~P6(x402,x403)+P2(x401,x402)+P6(x401,x403)
% 0.52/0.65 [41]~P2(x413,x411)+~P6(x413,x411)+P2(x411,x412)+P6(x413,x412)
% 0.52/0.65 [42]~P2(x423,x422)+~P6(x423,x422)+P2(x421,x422)+P6(x421,x423)
% 0.52/0.65 [43]~P2(x431,x433)+~P6(x431,x433)+P6(x431,x432)+P6(x433,x432)
% 0.52/0.65 [45]P6(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P6(x452,x454)
% 0.52/0.65 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 0.52/0.65 %EqnAxiom
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(53,plain,
% 0.52/0.65 (~P4(f7(x531,x532),x531)),
% 0.52/0.65 inference(scs_inference,[],[1,2,9,24,22,19])).
% 0.52/0.65 cnf(68,plain,
% 0.52/0.65 (~P6(f8(x681,x682),x681)),
% 0.52/0.65 inference(rename_variables,[],[10])).
% 0.52/0.65 cnf(71,plain,
% 0.52/0.65 (~P2(x711,x711)),
% 0.52/0.65 inference(rename_variables,[],[6])).
% 0.52/0.65 cnf(73,plain,
% 0.52/0.65 (P4(a4,a3)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30])).
% 0.52/0.65 cnf(74,plain,
% 0.52/0.65 (~P2(x741,x741)),
% 0.52/0.65 inference(rename_variables,[],[6])).
% 0.52/0.65 cnf(78,plain,
% 0.52/0.65 (P1(a2,a1)),
% 0.52/0.65 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])).
% 0.52/0.65 cnf(80,plain,
% 0.52/0.65 (~P4(a3,f5(a1,a2))),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,3,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23])).
% 0.52/0.65 cnf(82,plain,
% 0.52/0.65 (~P3(f6(a3,a4),a3)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,3,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49])).
% 0.52/0.65 cnf(84,plain,
% 0.52/0.65 (~P3(f6(a3,a4),a4)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,3,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49,48])).
% 0.52/0.65 cnf(86,plain,
% 0.52/0.65 (~P3(a1,f5(a1,a2))),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,3,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49,48,47])).
% 0.52/0.65 cnf(88,plain,
% 0.52/0.65 (~P3(a2,f5(a1,a2))),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,3,7,9,10,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49,48,47,46])).
% 0.52/0.65 cnf(94,plain,
% 0.52/0.65 (~P3(x941,f7(f7(x942,x941),x943))),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,2,3,7,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49,48,47,46,42,26,31])).
% 0.52/0.65 cnf(102,plain,
% 0.52/0.65 (P2(x1021,a4)+~P6(a3,a4)+~P6(a4,a3)+P2(x1021,f8(a3,x1022))),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,74,2,3,7,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49,48,47,46,42,26,31,43,41,40,39])).
% 0.52/0.65 cnf(104,plain,
% 0.52/0.65 (~P6(a3,a4)+P6(a3,x1041)+~P6(a4,a3)+P2(a4,x1041)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,71,74,2,3,7,9,10,68,24,22,19,17,16,15,14,12,11,33,32,30,29,27,23,49,48,47,46,42,26,31,43,41,40,39,38])).
% 0.52/0.65 cnf(113,plain,
% 0.52/0.65 (P2(f8(x1131,x1132),x1131)),
% 0.52/0.65 inference(scs_inference,[],[10,73,23,14])).
% 0.52/0.66 cnf(115,plain,
% 0.52/0.66 (P6(f8(a4,x1151),a3)),
% 0.52/0.66 inference(scs_inference,[],[10,2,73,23,14,33])).
% 0.52/0.66 cnf(116,plain,
% 0.52/0.66 (~P6(f8(x1161,x1162),x1161)),
% 0.52/0.66 inference(rename_variables,[],[10])).
% 0.52/0.66 cnf(119,plain,
% 0.52/0.66 (~P4(f7(x1191,x1192),x1191)),
% 0.52/0.66 inference(rename_variables,[],[53])).
% 0.52/0.66 cnf(125,plain,
% 0.52/0.66 (~P2(f7(x1251,x1252),f7(x1251,x1253))),
% 0.52/0.66 inference(scs_inference,[],[9,8,10,116,5,7,2,53,119,73,23,14,33,29,45,30])).
% 0.52/0.66 cnf(149,plain,
% 0.52/0.66 (P2(f8(x1491,x1492),x1491)),
% 0.52/0.66 inference(rename_variables,[],[113])).
% 0.52/0.66 cnf(151,plain,
% 0.52/0.66 (P4(x1511,f8(x1511,x1512))),
% 0.52/0.66 inference(scs_inference,[],[9,6,113,149,32,30])).
% 0.52/0.66 cnf(161,plain,
% 0.52/0.66 (P2(x1611,f8(x1611,x1612))),
% 0.52/0.66 inference(scs_inference,[],[8,9,6,7,113,149,94,78,32,30,14,50,19])).
% 0.52/0.66 cnf(167,plain,
% 0.52/0.66 (~P6(x1671,f8(x1671,x1672))),
% 0.52/0.66 inference(scs_inference,[],[10,6,161,38])).
% 0.52/0.66 cnf(168,plain,
% 0.52/0.66 (~P6(f8(x1681,x1682),x1681)),
% 0.52/0.66 inference(rename_variables,[],[10])).
% 0.52/0.66 cnf(169,plain,
% 0.52/0.66 (~P2(x1691,x1691)),
% 0.52/0.66 inference(rename_variables,[],[6])).
% 0.52/0.66 cnf(171,plain,
% 0.52/0.66 (~P2(x1711,f8(f8(x1711,x1712),x1713))),
% 0.52/0.66 inference(scs_inference,[],[10,168,6,161,38,33])).
% 0.52/0.66 cnf(175,plain,
% 0.52/0.66 (~P3(x1751,f8(x1752,x1751))),
% 0.52/0.66 inference(rename_variables,[],[8])).
% 0.52/0.66 cnf(180,plain,
% 0.52/0.66 (~P2(f7(x1801,x1802),x1801)),
% 0.52/0.66 inference(rename_variables,[],[9])).
% 0.52/0.66 cnf(186,plain,
% 0.52/0.66 (P4(f8(f5(a1,a2),a2),f8(x1861,a1))),
% 0.52/0.66 inference(scs_inference,[],[8,175,10,168,6,169,9,151,161,125,88,86,115,78,38,33,50,19,32,25,41,31])).
% 0.52/0.66 cnf(196,plain,
% 0.52/0.66 (P6(a3,x1961)+P6(a4,x1961)),
% 0.52/0.66 inference(scs_inference,[],[8,175,10,168,6,169,9,180,151,161,125,84,88,86,82,80,115,78,73,38,33,50,19,32,25,41,31,30,104,102,45])).
% 0.52/0.66 cnf(202,plain,
% 0.52/0.66 (~P6(x2021,f8(x2021,x2022))),
% 0.52/0.66 inference(rename_variables,[],[167])).
% 0.52/0.66 cnf(207,plain,
% 0.52/0.66 ($false),
% 0.52/0.66 inference(scs_inference,[],[167,202,171,186,161,196,33,19]),
% 0.52/0.66 ['proof']).
% 0.52/0.66 % SZS output end Proof
% 0.52/0.66 % Total time :0.030000s
%------------------------------------------------------------------------------