TSTP Solution File: GEO177+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO177+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 : n018.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 22:43:21 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:24:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 % File :CSE---1.6
% 0.20/0.76 % Problem :theBenchmark
% 0.20/0.76 % Transform :cnf
% 0.20/0.76 % Format :tptp:raw
% 0.20/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.76
% 0.20/0.76 % Result :Theorem 0.130000s
% 0.20/0.76 % Output :CNFRefutation 0.130000s
% 0.20/0.76 %-------------------------------------------
% 0.20/0.77 %------------------------------------------------------------------------------
% 0.20/0.77 % File : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.77 % Domain : Geometry (Constructive)
% 0.20/0.77 % Problem : Symmetry of apartness
% 0.20/0.77 % Version : [vPl95] axioms.
% 0.20/0.77 % English : If the points X and Y are distinct and U and V are distinct,
% 0.20/0.77 % and X or Y is apart from the line connecting U and V, then
% 0.20/0.77 % U or V are apart from the line connecting X and Y.
% 0.20/0.77
% 0.20/0.77 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.77 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.77 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.20/0.77 % Source : [Rat07]
% 0.20/0.77 % Names : Theorem 4.2 [vPl95]
% 0.20/0.77
% 0.20/0.77 % Status : Theorem
% 0.20/0.77 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.16 v4.0.0
% 0.20/0.77 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.20/0.77 % Number of atoms : 99 ( 0 equ)
% 0.20/0.77 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.77 % Number of connectives : 91 ( 28 ~; 21 |; 14 &)
% 0.20/0.77 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 0.20/0.77 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.77 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.77 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.20/0.77 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.20/0.77 % Number of variables : 85 ( 85 !; 0 ?)
% 0.20/0.77 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.77
% 0.20/0.77 % Comments :
% 0.20/0.77 %------------------------------------------------------------------------------
% 0.20/0.77 include('Axioms/GEO006+0.ax').
% 0.20/0.77 include('Axioms/GEO006+1.ax').
% 0.20/0.77 include('Axioms/GEO006+2.ax').
% 0.20/0.77 include('Axioms/GEO006+3.ax').
% 0.20/0.77 include('Axioms/GEO006+4.ax').
% 0.20/0.77 include('Axioms/GEO006+5.ax').
% 0.20/0.77 include('Axioms/GEO006+6.ax').
% 0.20/0.77 %------------------------------------------------------------------------------
% 0.20/0.77 fof(con,conjecture,
% 0.20/0.77 ! [X,Y,U,V] :
% 0.20/0.77 ( ( distinct_points(X,Y)
% 0.20/0.77 & distinct_points(U,V) )
% 0.20/0.77 => ( ( apart_point_and_line(X,line_connecting(U,V))
% 0.20/0.77 | apart_point_and_line(Y,line_connecting(U,V)) )
% 0.20/0.77 => ( apart_point_and_line(U,line_connecting(X,Y))
% 0.20/0.77 | apart_point_and_line(V,line_connecting(X,Y)) ) ) ) ).
% 0.20/0.77
% 0.20/0.77 %------------------------------------------------------------------------------
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 % Proof found
% 0.20/0.77 % SZS status Theorem for theBenchmark
% 0.20/0.77 % SZS output start Proof
% 0.20/0.77 %ClaNum:51(EqnAxiom:0)
% 0.20/0.77 %VarNum:218(SingletonVarNum:98)
% 0.20/0.77 %MaxLitNum:6
% 0.20/0.77 %MaxfuncDepth:1
% 0.20/0.77 %SharedTerms:12
% 0.20/0.77 %goalClause: 1 2 6 7 34
% 0.20/0.77 %singleGoalClaCount:4
% 0.20/0.77 [1]P1(a1,a2)
% 0.20/0.77 [2]P1(a3,a4)
% 0.20/0.77 [6]~P4(a3,f5(a1,a2))
% 0.20/0.77 [7]~P4(a4,f5(a1,a2))
% 0.20/0.77 [3]~P1(x31,x31)
% 0.20/0.77 [4]~P2(x41,x41)
% 0.20/0.77 [5]~P3(x51,x51)
% 0.20/0.77 [8]~P4(x81,f7(x82,x81))
% 0.20/0.77 [9]~P4(x91,f8(x92,x91))
% 0.20/0.77 [10]~P3(f7(x101,x102),x101)
% 0.20/0.77 [11]~P5(f8(x111,x112),x111)
% 0.20/0.77 [34]P4(a2,f5(a3,a4))+P4(a1,f5(a3,a4))
% 0.20/0.77 [12]P6(x121,x122)+P1(x121,x122)
% 0.20/0.77 [13]P7(x131,x132)+P2(x131,x132)
% 0.20/0.77 [15]P5(x151,x152)+P3(x151,x152)
% 0.20/0.77 [16]P8(x161,x162)+P3(x161,x162)
% 0.20/0.77 [17]P9(x171,x172)+P4(x171,x172)
% 0.20/0.77 [18]P10(x181,x182)+P5(x181,x182)
% 0.20/0.77 [19]~P2(x191,x192)+P3(x191,x192)
% 0.20/0.77 [22]~P6(x221,x222)+~P1(x221,x222)
% 0.20/0.77 [23]~P7(x231,x232)+~P2(x231,x232)
% 0.20/0.77 [24]~P8(x241,x242)+~P3(x241,x242)
% 0.20/0.77 [25]~P9(x251,x252)+~P4(x251,x252)
% 0.20/0.77 [26]~P10(x261,x262)+~P5(x261,x262)
% 0.20/0.77 [47]~P1(x471,x472)+~P4(x472,f5(x471,x472))
% 0.20/0.77 [48]~P1(x481,x482)+~P4(x481,f5(x481,x482))
% 0.20/0.77 [49]~P3(x491,x492)+~P4(f6(x491,x492),x492)
% 0.20/0.77 [50]~P3(x501,x502)+~P4(f6(x501,x502),x501)
% 0.20/0.77 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 0.20/0.77 [21]~P12(x212)+~P11(x211)+P11(f8(x211,x212))
% 0.20/0.77 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.20/0.77 [28]~P4(x281,x283)+P1(x281,x282)+P4(x282,x283)
% 0.20/0.77 [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 0.20/0.77 [30]~P3(x303,x301)+P2(x301,x302)+P3(x303,x302)
% 0.20/0.77 [31]~P4(x313,x311)+P2(x311,x312)+P4(x313,x312)
% 0.20/0.77 [32]~P3(x323,x321)+P3(x321,x322)+P3(x323,x322)
% 0.20/0.77 [33]~P3(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 0.20/0.77 [36]~P11(x362)+~P11(x361)+~P3(x361,x362)+P12(f6(x361,x362))
% 0.20/0.77 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f5(x371,x372))
% 0.20/0.77 [39]~P3(x391,x393)+~P5(x391,x393)+P3(x391,x392)+P5(x393,x392)
% 0.20/0.77 [40]~P3(x402,x403)+~P5(x402,x403)+P3(x401,x402)+P3(x401,x403)
% 0.20/0.77 [41]~P3(x412,x413)+~P5(x412,x413)+P3(x411,x412)+P5(x411,x413)
% 0.20/0.77 [42]~P3(x423,x421)+~P5(x423,x421)+P3(x421,x422)+P5(x423,x422)
% 0.20/0.77 [43]~P3(x433,x432)+~P5(x433,x432)+P3(x431,x432)+P5(x431,x433)
% 0.20/0.77 [44]~P3(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 0.20/0.77 [46]P5(x463,x464)+~P2(x463,x462)+P4(x461,x462)+P4(x461,x463)+P5(x462,x464)
% 0.20/0.77 [51]P4(x514,x513)+~P1(x514,x511)+~P2(x513,x512)+P4(x511,x512)+P4(x511,x513)+P4(x514,x512)
% 0.20/0.77 %EqnAxiom
% 0.20/0.77
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 cnf(53,plain,
% 0.20/0.77 (~P2(f7(x531,x532),x531)),
% 0.20/0.77 inference(scs_inference,[],[1,10,22,19])).
% 0.20/0.77 cnf(66,plain,
% 0.20/0.77 (P1(a2,a1)),
% 0.20/0.78 inference(scs_inference,[],[1,3,4,5,7,10,11,22,19,18,17,16,15,13,12,27])).
% 0.20/0.78 cnf(72,plain,
% 0.20/0.78 (~P5(x721,f8(x721,x722))+~P3(x721,f8(x721,x722))),
% 0.20/0.78 inference(scs_inference,[],[1,3,4,5,7,10,11,22,19,18,17,16,15,13,12,27,48,47,43])).
% 0.20/0.78 cnf(73,plain,
% 0.20/0.78 (~P3(x731,x731)),
% 0.20/0.78 inference(rename_variables,[],[5])).
% 0.20/0.78 cnf(77,plain,
% 0.20/0.78 (~P3(x771,f7(x771,x772))),
% 0.20/0.78 inference(scs_inference,[],[1,3,4,5,73,7,10,11,22,19,18,17,16,15,13,12,27,48,47,43,26,32])).
% 0.20/0.78 cnf(83,plain,
% 0.20/0.78 (P3(f8(x831,x832),x831)),
% 0.20/0.78 inference(scs_inference,[],[11,15])).
% 0.20/0.78 cnf(85,plain,
% 0.20/0.78 (P3(x851,f8(x851,x852))),
% 0.20/0.78 inference(scs_inference,[],[5,11,15,32])).
% 0.20/0.78 cnf(88,plain,
% 0.20/0.78 (~P5(x881,f8(x881,x882))),
% 0.20/0.78 inference(scs_inference,[],[5,11,15,32,72])).
% 0.20/0.78 cnf(103,plain,
% 0.20/0.78 (~P3(f7(x1031,x1032),f7(x1031,x1033))),
% 0.20/0.78 inference(scs_inference,[],[1,2,6,8,10,5,7,11,53,15,32,72,51,24,50,49,37,36,30])).
% 0.20/0.78 cnf(105,plain,
% 0.20/0.78 (~P2(x1051,f7(x1051,x1052))),
% 0.20/0.78 inference(scs_inference,[],[1,2,6,8,4,10,5,7,11,53,15,32,72,51,24,50,49,37,36,30,29])).
% 0.20/0.78 cnf(111,plain,
% 0.20/0.78 (P5(f8(f8(x1111,x1112),x1113),x1111)),
% 0.20/0.78 inference(scs_inference,[],[11,83,33])).
% 0.20/0.78 cnf(114,plain,
% 0.20/0.78 (P2(f8(f7(x1141,x1142),x1143),x1141)),
% 0.20/0.78 inference(scs_inference,[],[10,11,83,85,33,30])).
% 0.20/0.78 cnf(119,plain,
% 0.20/0.78 (P3(f8(f7(x1191,x1192),x1193),x1191)),
% 0.20/0.78 inference(scs_inference,[],[10,11,83,85,33,30,15,32])).
% 0.20/0.78 cnf(124,plain,
% 0.20/0.78 (~P5(f8(f7(x1241,x1242),x1243),x1241)),
% 0.20/0.78 inference(scs_inference,[],[11,119,77,42])).
% 0.20/0.78 cnf(125,plain,
% 0.20/0.78 (~P5(f8(x1251,x1252),x1251)),
% 0.20/0.78 inference(rename_variables,[],[11])).
% 0.20/0.78 cnf(126,plain,
% 0.20/0.78 (P3(f8(f7(x1261,x1262),x1263),x1261)),
% 0.20/0.78 inference(rename_variables,[],[119])).
% 0.20/0.78 cnf(128,plain,
% 0.20/0.78 (P5(f8(x1281,x1282),f8(f7(x1281,x1283),x1284))),
% 0.20/0.78 inference(scs_inference,[],[11,125,119,126,77,42,33])).
% 0.20/0.78 cnf(129,plain,
% 0.20/0.78 (P3(f8(f7(x1291,x1292),x1293),x1291)),
% 0.20/0.78 inference(rename_variables,[],[119])).
% 0.20/0.78 cnf(134,plain,
% 0.20/0.78 (P5(f7(x1341,x1342),f7(f7(x1341,x1342),x1343))),
% 0.20/0.78 inference(scs_inference,[],[8,4,9,11,125,114,119,126,77,42,33,29,46])).
% 0.20/0.78 cnf(136,plain,
% 0.20/0.78 (P2(f8(f7(x1361,x1362),x1363),x1361)),
% 0.20/0.78 inference(rename_variables,[],[114])).
% 0.20/0.78 cnf(142,plain,
% 0.20/0.78 (P3(x1421,f8(f7(x1421,x1422),x1423))),
% 0.20/0.78 inference(scs_inference,[],[8,4,9,5,11,125,114,136,119,126,129,77,42,33,29,46,23,32])).
% 0.20/0.78 cnf(162,plain,
% 0.20/0.78 (~P5(f8(f7(x1621,x1622),x1623),x1621)),
% 0.20/0.78 inference(rename_variables,[],[124])).
% 0.20/0.78 cnf(168,plain,
% 0.20/0.78 (~P2(x1681,f7(f7(x1681,x1682),x1683))),
% 0.20/0.78 inference(scs_inference,[],[53,11,105,124,128,88,44,33,29])).
% 0.20/0.78 cnf(169,plain,
% 0.20/0.78 (~P2(f7(x1691,x1692),x1691)),
% 0.20/0.78 inference(rename_variables,[],[53])).
% 0.20/0.78 cnf(176,plain,
% 0.20/0.78 (P3(f8(f8(x1761,x1762),x1763),x1761)+P9(a3,f5(a1,a2))),
% 0.20/0.78 inference(scs_inference,[],[6,53,5,11,105,124,128,103,88,111,44,33,29,15,40,17])).
% 0.20/0.78 cnf(180,plain,
% 0.20/0.78 (P3(f8(f8(x1801,x1802),x1803),x1801)+~P6(a2,a1)),
% 0.20/0.78 inference(scs_inference,[],[6,53,169,5,11,105,124,128,66,103,88,111,44,33,29,15,40,17,13,22])).
% 0.20/0.78 cnf(184,plain,
% 0.20/0.78 (P3(f8(f8(x1841,x1842),x1843),x1841)+~P4(a2,f5(a2,a1))),
% 0.20/0.78 inference(scs_inference,[],[6,53,169,5,11,134,105,124,128,66,103,88,111,44,33,29,15,40,17,13,22,26,48])).
% 0.20/0.78 cnf(186,plain,
% 0.20/0.78 (P3(f8(f8(x1861,x1862),x1863),x1861)+~P4(a1,f5(a2,a1))),
% 0.20/0.78 inference(scs_inference,[],[6,53,169,5,11,134,105,124,128,66,103,88,111,44,33,29,15,40,17,13,22,26,48,47])).
% 0.20/0.78 cnf(194,plain,
% 0.20/0.78 (P3(f8(f8(x1941,x1942),x1943),x1941)+~P4(a3,f7(f5(a1,a2),x1944))),
% 0.20/0.78 inference(scs_inference,[],[6,53,169,5,10,11,134,105,124,162,128,66,103,88,111,44,33,29,15,40,17,13,22,26,48,47,19,16,18,31])).
% 0.20/0.78 cnf(196,plain,
% 0.20/0.78 (P5(f5(a2,a1),f7(f5(a2,a1),x1961))+P3(f8(f8(x1962,x1963),x1964),x1962)),
% 0.20/0.78 inference(scs_inference,[],[6,53,169,9,5,10,11,134,105,124,162,128,66,103,88,111,114,44,33,29,15,40,17,13,22,26,48,47,19,16,18,31,46])).
% 0.20/0.78 cnf(201,plain,
% 0.20/0.78 (~P5(f8(x2011,x2012),x2011)),
% 0.20/0.78 inference(rename_variables,[],[11])).
% 0.20/0.78 cnf(221,plain,
% 0.20/0.78 (P5(f8(x2211,x2212),f8(x2211,x2213))),
% 0.20/0.78 inference(scs_inference,[],[11,201,142,85,88,111,83,44,196,194,186,184,180,176,49,50,24,33])).
% 0.20/0.78 cnf(246,plain,
% 0.20/0.78 (~P4(x2461,x2462)),
% 0.20/0.78 inference(scs_inference,[],[8,53,5,11,168,221,105,119,77,29,41,30,32,31])).
% 0.20/0.78 cnf(250,plain,
% 0.20/0.78 (P4(a1,f5(a3,a4))),
% 0.20/0.78 inference(scs_inference,[],[246,34])).
% 0.20/0.78 cnf(280,plain,
% 0.20/0.78 ($false),
% 0.20/0.78 inference(scs_inference,[],[250,246]),
% 0.20/0.78 ['proof']).
% 0.20/0.78 % SZS output end Proof
% 0.20/0.78 % Total time :0.130000s
%------------------------------------------------------------------------------