TSTP Solution File: GEO202+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO202+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 : n017.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 22:43:37 EDT 2023
% Result : Theorem 0.53s 0.66s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue Aug 29 18:42:43 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 % File :CSE---1.6
% 0.53/0.65 % Problem :theBenchmark
% 0.53/0.65 % Transform :cnf
% 0.53/0.65 % Format :tptp:raw
% 0.53/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.65
% 0.53/0.65 % Result :Theorem 0.030000s
% 0.53/0.65 % Output :CNFRefutation 0.030000s
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 % File : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% 0.53/0.65 % Domain : Geometry (Constructive)
% 0.53/0.65 % Problem : Diverging lines have equal ends
% 0.53/0.65 % Version : [vPl95] axioms.
% 0.53/0.65 % English : If the point X is distinct to the points Y and Z, and the lines
% 0.53/0.65 % connecting X and Y, and connecting X and Z are convergent, then
% 0.53/0.65 % the intersection point of these lines is equal to X.
% 0.53/0.65
% 0.53/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.53/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.65 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.53/0.65 % Source : [Rat07]
% 0.53/0.65 % Names : Theorem 5.3 [vPl95]
% 0.53/0.65
% 0.53/0.65 % Status : Theorem
% 0.53/0.65 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.29 v5.4.0, 0.30 v5.3.0, 0.39 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.28 v4.0.1, 0.26 v4.0.0
% 0.53/0.65 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.53/0.65 % Number of atoms : 97 ( 0 equ)
% 0.53/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.53/0.65 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.53/0.65 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.53/0.65 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.65 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.53/0.65 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.53/0.65 % Number of variables : 84 ( 84 !; 0 ?)
% 0.53/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.65
% 0.53/0.65 % Comments :
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 include('Axioms/GEO006+0.ax').
% 0.53/0.65 include('Axioms/GEO006+1.ax').
% 0.53/0.65 include('Axioms/GEO006+2.ax').
% 0.53/0.65 include('Axioms/GEO006+3.ax').
% 0.53/0.65 include('Axioms/GEO006+4.ax').
% 0.53/0.65 include('Axioms/GEO006+5.ax').
% 0.53/0.65 include('Axioms/GEO006+6.ax').
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 fof(con,conjecture,
% 0.53/0.65 ! [X,Y,Z] :
% 0.53/0.65 ( ( distinct_points(X,Y)
% 0.53/0.65 & distinct_points(X,Z)
% 0.53/0.66 & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
% 0.53/0.66 => equal_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) ).
% 0.53/0.66
% 0.53/0.66 %------------------------------------------------------------------------------
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 % Proof found
% 0.53/0.66 % SZS status Theorem for theBenchmark
% 0.53/0.66 % SZS output start Proof
% 0.53/0.66 %ClaNum:50(EqnAxiom:0)
% 0.53/0.66 %VarNum:218(SingletonVarNum:98)
% 0.53/0.66 %MaxLitNum:6
% 0.53/0.66 %MaxfuncDepth:2
% 0.53/0.66 %SharedTerms:10
% 0.53/0.66 %goalClause: 1 2 3 11
% 0.53/0.66 %singleGoalClaCount:4
% 0.53/0.66 [1]P1(a1,a2)
% 0.53/0.66 [2]P1(a1,a3)
% 0.53/0.66 [3]P2(f4(a1,a2),f4(a1,a3))
% 0.53/0.66 [11]~P6(f5(f4(a1,a2),f4(a1,a3)),a1)
% 0.53/0.66 [4]~P1(x41,x41)
% 0.53/0.66 [5]~P4(x51,x51)
% 0.53/0.66 [6]~P2(x61,x61)
% 0.53/0.66 [7]~P3(x71,f6(x72,x71))
% 0.53/0.66 [8]~P3(x81,f7(x82,x81))
% 0.53/0.66 [9]~P2(f6(x91,x92),x91)
% 0.53/0.66 [10]~P5(f7(x101,x102),x101)
% 0.53/0.66 [12]P6(x121,x122)+P1(x121,x122)
% 0.53/0.66 [13]P7(x131,x132)+P4(x131,x132)
% 0.53/0.66 [15]P5(x151,x152)+P2(x151,x152)
% 0.53/0.66 [16]P8(x161,x162)+P2(x161,x162)
% 0.53/0.66 [17]P9(x171,x172)+P3(x171,x172)
% 0.53/0.66 [18]P10(x181,x182)+P5(x181,x182)
% 0.53/0.66 [19]~P4(x191,x192)+P2(x191,x192)
% 0.53/0.66 [22]~P6(x221,x222)+~P1(x221,x222)
% 0.53/0.66 [23]~P7(x231,x232)+~P4(x231,x232)
% 0.53/0.66 [24]~P8(x241,x242)+~P2(x241,x242)
% 0.53/0.66 [25]~P9(x251,x252)+~P3(x251,x252)
% 0.53/0.66 [26]~P10(x261,x262)+~P5(x261,x262)
% 0.53/0.66 [46]~P1(x461,x462)+~P3(x462,f4(x461,x462))
% 0.53/0.66 [47]~P1(x471,x472)+~P3(x471,f4(x471,x472))
% 0.53/0.66 [48]~P2(x481,x482)+~P3(f5(x481,x482),x482)
% 0.53/0.66 [49]~P2(x491,x492)+~P3(f5(x491,x492),x491)
% 0.53/0.66 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 0.53/0.66 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 0.53/0.66 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.53/0.66 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 0.53/0.66 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 0.53/0.66 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 0.53/0.66 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 0.53/0.66 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 0.53/0.66 [33]~P2(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 0.53/0.66 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f5(x351,x352))
% 0.53/0.66 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f4(x361,x362))
% 0.53/0.66 [38]~P2(x381,x383)+~P5(x381,x383)+P2(x381,x382)+P5(x383,x382)
% 0.53/0.66 [39]~P2(x392,x393)+~P5(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 0.53/0.66 [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P5(x401,x403)
% 0.53/0.66 [41]~P2(x413,x411)+~P5(x413,x411)+P2(x411,x412)+P5(x413,x412)
% 0.53/0.66 [42]~P2(x423,x422)+~P5(x423,x422)+P2(x421,x422)+P5(x421,x423)
% 0.53/0.66 [43]~P2(x431,x433)+~P5(x431,x433)+P5(x431,x432)+P5(x433,x432)
% 0.53/0.66 [45]P5(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P5(x452,x454)
% 0.53/0.66 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 0.53/0.66 %EqnAxiom
% 0.53/0.66
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 cnf(53,plain,
% 0.53/0.66 (~P4(f6(x531,x532),x531)),
% 0.53/0.66 inference(scs_inference,[],[1,3,9,24,22,19])).
% 0.53/0.66 cnf(71,plain,
% 0.53/0.66 (~P2(x711,x711)),
% 0.53/0.66 inference(rename_variables,[],[6])).
% 0.53/0.66 cnf(73,plain,
% 0.53/0.66 (P4(f4(a1,a3),f4(a1,a2))),
% 0.53/0.66 inference(scs_inference,[],[1,4,5,6,71,3,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30])).
% 0.53/0.66 cnf(80,plain,
% 0.53/0.66 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a2))),
% 0.53/0.66 inference(scs_inference,[],[1,4,5,6,71,3,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49])).
% 0.53/0.66 cnf(82,plain,
% 0.53/0.66 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a3))),
% 0.53/0.66 inference(scs_inference,[],[1,4,5,6,71,3,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49,48])).
% 0.53/0.66 cnf(84,plain,
% 0.53/0.66 (~P3(a1,f4(a1,a2))),
% 0.53/0.66 inference(scs_inference,[],[1,4,5,6,71,3,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49,48,47])).
% 0.53/0.66 cnf(113,plain,
% 0.53/0.66 (P2(f7(x1131,x1132),x1131)),
% 0.53/0.66 inference(scs_inference,[],[11,10,12,15])).
% 0.53/0.66 cnf(116,plain,
% 0.53/0.66 (~P5(f7(x1161,x1162),x1161)),
% 0.53/0.66 inference(rename_variables,[],[10])).
% 0.53/0.66 cnf(118,plain,
% 0.53/0.66 (P3(a1,f4(a1,a3))),
% 0.53/0.66 inference(scs_inference,[],[11,10,3,82,80,73,84,12,15,33,50])).
% 0.53/0.66 cnf(124,plain,
% 0.53/0.66 (~P3(x1241,f7(x1242,x1241))),
% 0.53/0.66 inference(rename_variables,[],[8])).
% 0.53/0.66 cnf(133,plain,
% 0.53/0.66 (P2(f4(a1,a3),f7(x1331,a1))),
% 0.53/0.66 inference(scs_inference,[],[2,11,9,8,124,10,116,5,7,3,53,82,80,73,84,12,15,33,50,25,45,31,47,30,29,19])).
% 0.53/0.66 cnf(158,plain,
% 0.53/0.66 (P2(f7(x1581,x1582),x1581)),
% 0.53/0.66 inference(rename_variables,[],[113])).
% 0.53/0.66 cnf(163,plain,
% 0.53/0.66 (~P2(x1631,x1631)),
% 0.53/0.66 inference(rename_variables,[],[6])).
% 0.53/0.66 cnf(170,plain,
% 0.53/0.66 ($false),
% 0.53/0.66 inference(scs_inference,[],[2,9,10,6,163,113,158,118,133,82,28,32,15,38,30,47]),
% 0.53/0.66 ['proof']).
% 0.53/0.66 % SZS output end Proof
% 0.53/0.66 % Total time :0.030000s
%------------------------------------------------------------------------------