%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO170+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 06:04:08 EDT 2024
% Result : Theorem 58.77s 58.81s
% Output : CNFRefutation 58.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO170+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 10:12:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 58.77/58.79 %-------------------------------------------
% 58.77/58.79 % File :CSE---1.7
% 58.77/58.79 % Problem :theBenchmark
% 58.77/58.79 % Transform :cnf
% 58.77/58.79 % Format :tptp:raw
% 58.77/58.79 % Command :java -jar mcs_scs.jar %d %s
% 58.77/58.79
% 58.77/58.79 % Result :Theorem 58.180000s
% 58.77/58.79 % Output :CNFRefutation 58.180000s
% 58.77/58.79 %-------------------------------------------
% 58.77/58.80 %------------------------------------------------------------------------------
% 58.77/58.80 % File : GEO170+3 : TPTP v8.2.0. Released v4.0.0.
% 58.77/58.80 % Domain : Geometry (Constructive)
% 58.77/58.80 % Problem : Uniqueness of constructed lines
% 58.77/58.80 % Version : [vPl95] axioms.
% 58.77/58.80 % English : If two distinct points are incident with a line, then this line
% 58.77/58.80 % is equivalent with the connecting line of these points.
% 58.77/58.80
% 58.77/58.80 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.77/58.80 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.77/58.80 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.77/58.80 % Source : [Rat07]
% 58.77/58.80 % Names : Theorem 3.1 [vPl95]
% 58.77/58.80
% 58.77/58.80 % Status : Theorem
% 58.77/58.80 % Rating : 0.00 v6.1.0, 0.08 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, 0.22 v4.0.1, 0.21 v4.0.0
% 58.77/58.80 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.77/58.80 % Number of atoms : 97 ( 0 equ)
% 58.77/58.80 % Maximal formula atoms : 6 ( 2 avg)
% 58.77/58.80 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 58.77/58.80 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.77/58.80 % Maximal formula depth : 9 ( 5 avg)
% 58.77/58.80 % Maximal term depth : 2 ( 1 avg)
% 58.77/58.80 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.77/58.80 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.77/58.80 % Number of variables : 84 ( 84 !; 0 ?)
% 58.77/58.80 % SPC : FOF_THM_RFO_NEQ
% 58.77/58.80
% 58.77/58.80 % Comments :
% 58.77/58.81 %------------------------------------------------------------------------------
% 58.77/58.81 include('Axioms/GEO006+0.ax').
% 58.77/58.81 include('Axioms/GEO006+1.ax').
% 58.77/58.81 include('Axioms/GEO006+2.ax').
% 58.77/58.81 include('Axioms/GEO006+3.ax').
% 58.77/58.81 include('Axioms/GEO006+4.ax').
% 58.77/58.81 include('Axioms/GEO006+5.ax').
% 58.77/58.81 include('Axioms/GEO006+6.ax').
% 58.77/58.81 %------------------------------------------------------------------------------
% 58.77/58.81 fof(con,conjecture,
% 58.77/58.81 ! [X,Y,Z] :
% 58.77/58.81 ( ( distinct_points(X,Y)
% 58.77/58.81 & incident_point_and_line(X,Z)
% 58.77/58.81 & incident_point_and_line(Y,Z) )
% 58.77/58.81 => equal_lines(Z,line_connecting(X,Y)) ) ).
% 58.77/58.81
% 58.77/58.81 %------------------------------------------------------------------------------
% 58.77/58.81 %-------------------------------------------
% 58.77/58.81 % Proof found
% 58.77/58.81 % SZS status Theorem for theBenchmark
% 58.77/58.81 % SZS output start Proof
% 58.77/58.82 %ClaNum:50(EqnAxiom:0)
% 58.77/58.82 %VarNum:218(SingletonVarNum:98)
% 58.77/58.82 %MaxLitNum:6
% 58.77/58.82 %MaxfuncDepth:1
% 58.77/58.82 %SharedTerms:8
% 58.77/58.82 %goalClause: 1 2 3 7
% 58.77/58.82 %singleGoalClaCount:4
% 58.77/58.82 [1]P1(a1,a2)
% 58.77/58.82 [2]P5(a1,a3)
% 58.77/58.82 [3]P5(a2,a3)
% 58.77/58.82 [7]~P6(a3,f4(a1,a2))
% 58.77/58.82 [4]~P1(x41,x41)
% 58.77/58.82 [5]~P2(x51,x51)
% 58.77/58.82 [6]~P3(x61,x61)
% 58.77/58.82 [8]~P4(x81,f6(x82,x81))
% 58.77/58.82 [9]~P4(x91,f7(x92,x91))
% 58.77/58.82 [10]~P3(f6(x101,x102),x101)
% 58.77/58.82 [11]~P8(f7(x111,x112),x111)
% 58.77/58.82 [12]P7(x121,x122)+P1(x121,x122)
% 58.77/58.82 [13]P6(x131,x132)+P2(x131,x132)
% 58.77/58.82 [15]P8(x151,x152)+P3(x151,x152)
% 58.77/58.82 [16]P9(x161,x162)+P3(x161,x162)
% 58.77/58.82 [17]P5(x171,x172)+P4(x171,x172)
% 58.77/58.82 [18]P10(x181,x182)+P8(x181,x182)
% 58.77/58.82 [19]~P2(x191,x192)+P3(x191,x192)
% 58.77/58.82 [22]~P7(x221,x222)+~P1(x221,x222)
% 58.77/58.82 [23]~P6(x231,x232)+~P2(x231,x232)
% 58.77/58.82 [24]~P9(x241,x242)+~P3(x241,x242)
% 58.77/58.82 [25]~P5(x251,x252)+~P4(x251,x252)
% 58.77/58.82 [26]~P10(x261,x262)+~P8(x261,x262)
% 58.77/58.82 [46]~P1(x461,x462)+~P4(x462,f4(x461,x462))
% 58.77/58.82 [47]~P1(x471,x472)+~P4(x471,f4(x471,x472))
% 58.77/58.82 [48]~P3(x481,x482)+~P4(f5(x481,x482),x482)
% 58.77/58.82 [49]~P3(x491,x492)+~P4(f5(x491,x492),x491)
% 58.77/58.82 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 58.77/58.82 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 58.77/58.82 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 58.77/58.82 [28]~P4(x281,x283)+P1(x281,x282)+P4(x282,x283)
% 58.77/58.82 [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 58.77/58.82 [30]~P3(x303,x301)+P2(x301,x302)+P3(x303,x302)
% 58.77/58.82 [31]~P4(x313,x311)+P2(x311,x312)+P4(x313,x312)
% 58.77/58.82 [32]~P3(x323,x321)+P3(x321,x322)+P3(x323,x322)
% 58.77/58.82 [33]~P3(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 58.77/58.82 [35]~P11(x352)+~P11(x351)+~P3(x351,x352)+P12(f5(x351,x352))
% 58.77/58.82 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f4(x361,x362))
% 58.77/58.82 [38]~P3(x381,x383)+~P8(x381,x383)+P3(x381,x382)+P8(x383,x382)
% 58.77/58.82 [39]~P3(x392,x393)+~P8(x392,x393)+P3(x391,x392)+P3(x391,x393)
% 58.77/58.82 [40]~P3(x402,x403)+~P8(x402,x403)+P3(x401,x402)+P8(x401,x403)
% 58.77/58.82 [41]~P3(x413,x411)+~P8(x413,x411)+P3(x411,x412)+P8(x413,x412)
% 58.77/58.82 [42]~P3(x423,x422)+~P8(x423,x422)+P3(x421,x422)+P8(x421,x423)
% 58.77/58.82 [43]~P3(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 58.77/58.82 [45]P8(x453,x454)+~P2(x453,x452)+P4(x451,x452)+P4(x451,x453)+P8(x452,x454)
% 58.77/58.82 [50]P4(x504,x503)+~P1(x504,x501)+~P2(x503,x502)+P4(x501,x502)+P4(x501,x503)+P4(x504,x502)
% 58.77/58.82 %EqnAxiom
% 58.77/58.82
% 58.77/58.82 %-------------------------------------------
% 58.84/58.84 cnf(59,plain,
% 58.84/58.84 (~P2(f6(x591,x592),x591)),
% 58.84/58.84 inference(scs_inference,[],[1,4,5,8,10,22,12,13,17,19])).
% 58.84/58.84 cnf(67,plain,
% 58.84/58.84 (P1(a2,a1)),
% 58.84/58.84 inference(scs_inference,[],[1,4,5,8,11,6,10,22,12,13,17,19,15,16,18,27])).
% 58.84/58.84 cnf(90,plain,
% 58.84/58.84 (~P3(x901,f6(x901,x902))),
% 58.84/58.84 inference(scs_inference,[],[67,9,59,10,6,13,16,22,15,17,26,32])).
% 58.84/58.84 cnf(93,plain,
% 58.84/58.84 (~P2(x931,f6(x931,x932))),
% 58.84/58.84 inference(scs_inference,[],[67,9,59,10,6,13,16,22,15,17,26,32,19])).
% 58.84/58.84 cnf(7927,plain,
% 58.84/58.84 (~P4(x79271,x79272)),
% 58.84/58.84 inference(scs_inference,[],[93,8,31])).
% 58.84/58.84 cnf(8988,plain,
% 58.84/58.84 (P2(f4(a1,a2),a3)),
% 58.84/58.84 inference(scs_inference,[],[7,5,13,29])).
% 58.84/58.84 cnf(8991,plain,
% 58.84/58.84 (P2(a3,f4(a1,a2))),
% 58.84/58.84 inference(scs_inference,[],[5,8988,23,29])).
% 58.84/58.84 cnf(8995,plain,
% 58.84/58.84 (P2(f4(a1,a2),f6(a3,x89951))),
% 58.84/58.84 inference(scs_inference,[],[93,8991,29])).
% 58.84/58.84 cnf(9001,plain,
% 58.84/58.84 (P2(f6(a3,x90011),f4(a1,a2))),
% 58.84/58.84 inference(scs_inference,[],[5,8995,29])).
% 58.84/58.84 cnf(9007,plain,
% 58.84/58.84 (P2(f4(a1,a2),f6(f6(a3,x90071),x90072))),
% 58.84/58.84 inference(scs_inference,[],[93,9001,29])).
% 58.84/58.84 cnf(9013,plain,
% 58.84/58.84 (P2(f6(f6(a3,x90131),x90132),f4(a1,a2))),
% 58.84/58.84 inference(scs_inference,[],[5,9007,29])).
% 58.84/58.84 cnf(9160,plain,
% 58.84/58.84 (P2(a3,f6(f4(a1,a2),x91601))),
% 58.84/58.84 inference(scs_inference,[],[93,8988,29])).
% 58.84/58.84 cnf(9172,plain,
% 58.84/58.84 (P2(f6(f4(a1,a2),x91721),a3)),
% 58.84/58.84 inference(scs_inference,[],[5,9160,29])).
% 58.84/58.84 cnf(9429,plain,
% 58.84/58.84 (P3(f6(f4(a1,a2),x94291),a3)),
% 58.84/58.84 inference(scs_inference,[],[9172,19])).
% 58.84/58.84 cnf(9441,plain,
% 58.84/58.84 (P3(f4(a1,a2),a3)),
% 58.84/58.84 inference(scs_inference,[],[9429,8988,24,19])).
% 58.84/58.84 cnf(9459,plain,
% 58.84/58.84 (P3(f6(f6(a3,x94591),x94592),f4(a1,a2))),
% 58.84/58.84 inference(scs_inference,[],[9013,9441,24,19])).
% 58.84/58.84 cnf(9473,plain,
% 58.84/58.84 (P3(f4(a1,a2),f6(f6(a3,x94731),x94732))),
% 58.84/58.84 inference(scs_inference,[],[9007,9459,24,19])).
% 58.84/58.84 cnf(9484,plain,
% 58.84/58.84 (P3(f4(a1,a2),f6(a3,x94841))),
% 58.84/58.84 inference(scs_inference,[],[8995,9473,24,19])).
% 58.84/58.84 cnf(18499,plain,
% 58.84/58.84 (P3(f7(x184991,x184992),x184991)),
% 58.84/58.84 inference(scs_inference,[],[9484,11,24,15])).
% 58.84/58.84 cnf(18510,plain,
% 58.84/58.84 (~P3(x185101,x185101)),
% 58.84/58.84 inference(rename_variables,[],[6])).
% 58.84/58.84 cnf(18515,plain,
% 58.84/58.84 (P3(x185151,f7(x185151,x185152))),
% 58.84/58.84 inference(scs_inference,[],[18499,11,6,18510,24,30,33,32])).
% 58.84/58.84 cnf(18565,plain,
% 58.84/58.84 (~P3(x185651,f6(x185651,x185652))),
% 58.84/58.84 inference(rename_variables,[],[90])).
% 58.84/58.84 cnf(18569,plain,
% 58.84/58.84 (P3(f7(x185691,x185692),f6(x185691,x185693))),
% 58.84/58.84 inference(scs_inference,[],[18515,90,18565,30,23,32])).
% 58.84/58.84 cnf(18601,plain,
% 58.84/58.84 (~P3(x186011,x186011)),
% 58.84/58.84 inference(rename_variables,[],[6])).
% 58.84/58.84 cnf(18603,plain,
% 58.84/58.84 (P3(f6(x186031,x186032),f7(x186031,x186033))),
% 58.84/58.84 inference(scs_inference,[],[18569,6,18601,30,32])).
% 58.84/58.84 cnf(18621,plain,
% 58.84/58.84 (P2(f7(x186211,x186212),x186211)),
% 58.84/58.84 inference(scs_inference,[],[18603,10,30])).
% 58.84/58.84 cnf(18632,plain,
% 58.84/58.84 (P4(a2,x186321)+P4(a2,f7(x186321,x186322))+P4(a1,f7(x186321,x186322))),
% 58.84/58.84 inference(scs_inference,[],[1,18621,7927,50])).
% 58.84/58.84 cnf(18634,plain,
% 58.84/58.84 (P4(a1,f7(x186341,x186342))+P4(a2,x186341)),
% 58.84/58.84 inference(scs_inference,[],[7927,18632])).
% 58.84/58.84 cnf(18637,plain,
% 58.84/58.84 (P4(a1,f7(x186371,x186372))),
% 58.84/58.84 inference(scs_inference,[],[7927,18634])).
% 58.84/58.84 cnf(18640,plain,
% 58.84/58.84 ($false),
% 58.84/58.84 inference(scs_inference,[],[18637,7927]),
% 58.84/58.84 ['proof']).
% 58.84/58.85 % SZS output end Proof
% 58.84/58.85 % Total time :58.180000s
%------------------------------------------------------------------------------