%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO184+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 06:04:17 EDT 2024
% Result : Theorem 58.82s 58.95s
% Output : CNFRefutation 58.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO184+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.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 : Fri Jun 21 10:08:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 58.82/58.93 %-------------------------------------------
% 58.82/58.93 % File :CSE---1.7
% 58.82/58.93 % Problem :theBenchmark
% 58.82/58.93 % Transform :cnf
% 58.82/58.93 % Format :tptp:raw
% 58.82/58.93 % Command :java -jar mcs_scs.jar %d %s
% 58.82/58.93
% 58.82/58.93 % Result :Theorem 58.230000s
% 58.82/58.93 % Output :CNFRefutation 58.230000s
% 58.82/58.93 %-------------------------------------------
% 58.82/58.95 %------------------------------------------------------------------------------
% 58.82/58.95 % File : GEO184+3 : TPTP v8.2.0. Released v4.0.0.
% 58.82/58.95 % Domain : Geometry (Constructive)
% 58.82/58.95 % Problem : Lemma on symmetry and apartness
% 58.82/58.95 % Version : [vPl95] axioms.
% 58.82/58.95 % English : If X and Y are distinct points, then the line that is incident
% 58.82/58.95 % with both points is equal to the line connecting them.
% 58.82/58.95
% 58.82/58.95 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.82/58.95 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.82/58.95 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.82/58.95 % Source : [Rat07]
% 58.82/58.95 % Names : Lemma 4.5.i [vPl95]
% 58.82/58.95
% 58.82/58.95 % Status : Theorem
% 58.82/58.95 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0
% 58.82/58.95 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.82/58.95 % Number of atoms : 98 ( 0 equ)
% 58.82/58.95 % Maximal formula atoms : 6 ( 2 avg)
% 58.82/58.95 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 58.82/58.95 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.82/58.95 % Maximal formula depth : 9 ( 6 avg)
% 58.82/58.95 % Maximal term depth : 2 ( 1 avg)
% 58.82/58.95 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.82/58.95 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.82/58.95 % Number of variables : 85 ( 85 !; 0 ?)
% 58.82/58.95 % SPC : FOF_THM_RFO_NEQ
% 58.82/58.95
% 58.82/58.95 % Comments :
% 58.82/58.95 %------------------------------------------------------------------------------
% 58.82/58.95 include('Axioms/GEO006+0.ax').
% 58.82/58.95 include('Axioms/GEO006+1.ax').
% 58.82/58.95 include('Axioms/GEO006+2.ax').
% 58.82/58.95 include('Axioms/GEO006+3.ax').
% 58.82/58.95 include('Axioms/GEO006+4.ax').
% 58.82/58.95 include('Axioms/GEO006+5.ax').
% 58.82/58.95 include('Axioms/GEO006+6.ax').
% 58.82/58.95 %------------------------------------------------------------------------------
% 58.82/58.95 fof(con,conjecture,
% 58.82/58.95 ! [X,Y,U,V] :
% 58.82/58.95 ( ( distinct_points(X,Y)
% 58.82/58.95 & convergent_lines(U,V)
% 58.82/58.95 & incident_point_and_line(X,U)
% 58.82/58.95 & incident_point_and_line(Y,U) )
% 58.82/58.95 => equal_lines(U,line_connecting(X,Y)) ) ).
% 58.82/58.95
% 58.82/58.95 %------------------------------------------------------------------------------
% 58.82/58.95 %-------------------------------------------
% 58.82/58.95 % Proof found
% 58.82/58.95 % SZS status Theorem for theBenchmark
% 58.82/58.95 % SZS output start Proof
% 58.82/58.96 %ClaNum:51(EqnAxiom:0)
% 58.82/58.96 %VarNum:218(SingletonVarNum:98)
% 58.82/58.96 %MaxLitNum:6
% 58.82/58.96 %MaxfuncDepth:1
% 58.82/58.96 %SharedTerms:10
% 58.82/58.96 %goalClause: 1 2 3 4 8
% 58.82/58.96 %singleGoalClaCount:5
% 58.82/58.96 [1]P1(a1,a2)
% 58.82/58.96 [2]P2(a3,a4)
% 58.82/58.96 [3]P5(a1,a3)
% 58.82/58.96 [4]P5(a2,a3)
% 58.82/58.96 [8]~P6(a3,f5(a1,a2))
% 58.82/58.96 [5]~P1(x51,x51)
% 58.82/58.96 [6]~P4(x61,x61)
% 58.82/58.96 [7]~P2(x71,x71)
% 58.82/58.96 [9]~P3(x91,f7(x92,x91))
% 58.82/58.96 [10]~P3(x101,f8(x102,x101))
% 58.82/58.96 [11]~P2(f7(x111,x112),x111)
% 58.82/58.96 [12]~P8(f8(x121,x122),x121)
% 58.82/58.96 [13]P7(x131,x132)+P1(x131,x132)
% 58.82/58.96 [14]P6(x141,x142)+P4(x141,x142)
% 58.82/58.96 [16]P8(x161,x162)+P2(x161,x162)
% 58.82/58.96 [17]P9(x171,x172)+P2(x171,x172)
% 58.82/58.96 [18]P5(x181,x182)+P3(x181,x182)
% 58.82/58.96 [19]P10(x191,x192)+P8(x191,x192)
% 58.82/58.96 [20]~P4(x201,x202)+P2(x201,x202)
% 58.82/58.96 [23]~P7(x231,x232)+~P1(x231,x232)
% 58.82/58.96 [24]~P6(x241,x242)+~P4(x241,x242)
% 58.82/58.96 [25]~P9(x251,x252)+~P2(x251,x252)
% 58.82/58.96 [26]~P5(x261,x262)+~P3(x261,x262)
% 58.82/58.96 [27]~P10(x271,x272)+~P8(x271,x272)
% 58.82/58.96 [47]~P1(x471,x472)+~P3(x472,f5(x471,x472))
% 58.82/58.96 [48]~P1(x481,x482)+~P3(x481,f5(x481,x482))
% 58.82/58.96 [49]~P2(x491,x492)+~P3(f6(x491,x492),x492)
% 58.82/58.96 [50]~P2(x501,x502)+~P3(f6(x501,x502),x501)
% 58.82/58.96 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 58.82/58.96 [22]~P12(x222)+~P11(x221)+P11(f8(x221,x222))
% 58.82/58.96 [28]~P1(x283,x281)+P1(x281,x282)+P1(x283,x282)
% 58.82/58.96 [29]~P3(x291,x293)+P1(x291,x292)+P3(x292,x293)
% 58.82/58.96 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 58.82/58.96 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 58.82/58.96 [32]~P3(x323,x321)+P4(x321,x322)+P3(x323,x322)
% 58.82/58.96 [33]~P2(x333,x331)+P2(x331,x332)+P2(x333,x332)
% 58.82/58.96 [34]~P2(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 58.82/58.96 [36]~P11(x362)+~P11(x361)+~P2(x361,x362)+P12(f6(x361,x362))
% 58.82/58.96 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f5(x371,x372))
% 58.82/58.96 [39]~P2(x391,x393)+~P8(x391,x393)+P2(x391,x392)+P8(x393,x392)
% 58.82/58.96 [40]~P2(x402,x403)+~P8(x402,x403)+P2(x401,x402)+P2(x401,x403)
% 58.82/58.96 [41]~P2(x412,x413)+~P8(x412,x413)+P2(x411,x412)+P8(x411,x413)
% 58.82/58.96 [42]~P2(x423,x421)+~P8(x423,x421)+P2(x421,x422)+P8(x423,x422)
% 58.82/58.96 [43]~P2(x433,x432)+~P8(x433,x432)+P2(x431,x432)+P8(x431,x433)
% 58.82/58.96 [44]~P2(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 58.82/58.96 [46]P8(x463,x464)+~P4(x463,x462)+P3(x461,x462)+P3(x461,x463)+P8(x462,x464)
% 58.82/58.96 [51]P3(x514,x513)+~P1(x514,x511)+~P4(x513,x512)+P3(x511,x512)+P3(x511,x513)+P3(x514,x512)
% 58.82/58.96 %EqnAxiom
% 58.82/58.96
% 58.82/58.96 %-------------------------------------------
% 58.82/58.97 cnf(54,plain,
% 58.82/58.97 (~P9(a3,a4)),
% 58.82/58.97 inference(scs_inference,[],[1,2,23,25])).
% 58.82/58.97 cnf(68,plain,
% 58.82/58.97 (~P4(f7(x681,x682),x681)),
% 58.82/58.97 inference(scs_inference,[],[1,2,5,6,7,9,11,12,23,25,13,14,16,17,18,19,20])).
% 58.82/58.97 cnf(76,plain,
% 58.82/58.97 (~P2(x761,x761)),
% 58.82/58.97 inference(rename_variables,[],[7])).
% 58.82/58.97 cnf(78,plain,
% 58.82/58.97 (P2(a4,a3)),
% 58.82/58.97 inference(scs_inference,[],[1,2,5,6,7,76,9,11,12,23,25,13,14,16,17,18,19,20,27,28,31,33])).
% 58.82/58.97 cnf(84,plain,
% 58.82/58.97 (P4(a3,a4)),
% 58.82/58.97 inference(scs_inference,[],[1,2,5,6,7,76,9,11,12,23,25,13,14,16,17,18,19,20,27,28,31,33,34,30])).
% 58.82/58.97 cnf(660,plain,
% 58.82/58.97 (~P3(f6(a3,a4),a3)),
% 58.82/58.97 inference(scs_inference,[],[54,50,17])).
% 58.82/58.97 cnf(7167,plain,
% 58.82/58.97 (~P2(x71671,f7(x71671,x71672))),
% 58.82/58.97 inference(scs_inference,[],[68,7,31])).
% 58.82/58.97 cnf(7181,plain,
% 58.82/58.97 (P8(a3,f7(a3,x71811))),
% 58.90/58.97 inference(scs_inference,[],[68,2,660,7,31,33,32,25,18,20,16])).
% 58.90/58.97 cnf(7187,plain,
% 58.90/58.97 (P4(a4,f7(a3,x71871))),
% 58.90/58.98 inference(scs_inference,[],[68,2,660,7,84,31,33,32,25,18,20,16,17,14,30])).
% 58.90/58.98 cnf(7214,plain,
% 58.90/58.98 (~P4(x72141,f7(x72141,x72142))),
% 58.90/58.98 inference(scs_inference,[],[7167,7181,7187,24,27,16,17,20])).
% 58.90/58.98 cnf(10059,plain,
% 58.90/58.98 (P4(a3,f5(a1,a2))),
% 58.90/58.98 inference(scs_inference,[],[8,14])).
% 58.90/58.98 cnf(10070,plain,
% 58.90/58.98 (P2(a3,f5(a1,a2))),
% 58.90/58.98 inference(scs_inference,[],[10059,20])).
% 58.90/58.98 cnf(14190,plain,
% 58.90/58.98 (P2(f8(x141901,x141902),x141901)),
% 58.90/58.98 inference(scs_inference,[],[78,12,49,50,16])).
% 58.90/58.98 cnf(14195,plain,
% 58.90/58.98 (~P3(x141951,x141952)),
% 58.90/58.98 inference(scs_inference,[],[7214,10070,78,9,7167,12,49,50,16,31,32])).
% 58.90/58.98 cnf(14415,plain,
% 58.90/58.98 (P4(x144151,f8(x144151,x144152))),
% 58.90/58.98 inference(scs_inference,[],[14190,7,31])).
% 58.90/58.98 cnf(14456,plain,
% 58.90/58.98 (P3(a2,x144561)+P3(a2,f8(x144561,x144562))+P3(a1,f8(x144561,x144562))),
% 58.90/58.98 inference(scs_inference,[],[1,14415,14195,51])).
% 58.90/58.98 cnf(14457,plain,
% 58.90/58.98 (P3(a1,f8(x144571,x144572))+P3(a2,x144571)),
% 58.90/58.98 inference(scs_inference,[],[14195,14456])).
% 58.90/58.98 cnf(14464,plain,
% 58.90/58.98 (P3(a1,f8(x144641,x144642))),
% 58.90/58.98 inference(scs_inference,[],[14195,14457])).
% 58.90/58.98 cnf(14477,plain,
% 58.90/58.98 ($false),
% 58.90/58.98 inference(scs_inference,[],[14464,14195]),
% 58.90/58.98 ['proof']).
% 58.90/58.98 % SZS output end Proof
% 58.90/58.98 % Total time :58.230000s
%------------------------------------------------------------------------------