%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO196+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 : n029.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 06:04:25 EDT 2024
% Result : Theorem 35.36s 35.40s
% Output : CNFRefutation 35.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO196+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 09:13:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 35.34/35.38 %-------------------------------------------
% 35.34/35.38 % File :CSE---1.7
% 35.34/35.38 % Problem :theBenchmark
% 35.34/35.38 % Transform :cnf
% 35.34/35.38 % Format :tptp:raw
% 35.34/35.38 % Command :java -jar mcs_scs.jar %d %s
% 35.34/35.38
% 35.34/35.38 % Result :Theorem 34.780000s
% 35.34/35.38 % Output :CNFRefutation 34.780000s
% 35.34/35.38 %-------------------------------------------
% 35.36/35.39 %------------------------------------------------------------------------------
% 35.36/35.39 % File : GEO196+3 : TPTP v8.2.0. Released v4.0.0.
% 35.36/35.39 % Domain : Geometry (Constructive)
% 35.36/35.39 % Problem : Symmetry of incidence
% 35.36/35.39 % Version : [vPl95] axioms.
% 35.36/35.39 % English : If the lines X and Y are convergent, U and V are convergent,
% 35.36/35.39 % and the intersection point of X and Y is incident with U and V,
% 35.36/35.39 % then the intersection point of U and V is incident with X and Y.
% 35.36/35.39
% 35.36/35.39 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 35.36/35.39 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 35.36/35.39 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 35.36/35.39 % Source : [Rat07]
% 35.36/35.39 % Names : Theorem 4.11 [vPl95]
% 35.36/35.39
% 35.36/35.39 % Status : Theorem
% 35.36/35.39 % Rating : 0.00 v7.4.0, 0.06 v7.3.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.17 v5.4.0, 0.22 v5.2.0, 0.36 v5.0.0, 0.30 v4.1.0, 0.39 v4.0.1, 0.37 v4.0.0
% 35.36/35.39 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 35.36/35.39 % Number of atoms : 99 ( 0 equ)
% 35.36/35.39 % Maximal formula atoms : 6 ( 2 avg)
% 35.36/35.39 % Number of connectives : 91 ( 28 ~; 19 |; 17 &)
% 35.36/35.40 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 35.36/35.40 % Maximal formula depth : 9 ( 6 avg)
% 35.36/35.40 % Maximal term depth : 2 ( 1 avg)
% 35.36/35.40 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 35.36/35.40 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 35.36/35.40 % Number of variables : 85 ( 85 !; 0 ?)
% 35.36/35.40 % SPC : FOF_THM_RFO_NEQ
% 35.36/35.40
% 35.36/35.40 % Comments :
% 35.36/35.40 %------------------------------------------------------------------------------
% 35.36/35.40 include('Axioms/GEO006+0.ax').
% 35.36/35.40 include('Axioms/GEO006+1.ax').
% 35.36/35.40 include('Axioms/GEO006+2.ax').
% 35.36/35.40 include('Axioms/GEO006+3.ax').
% 35.36/35.40 include('Axioms/GEO006+4.ax').
% 35.36/35.40 include('Axioms/GEO006+5.ax').
% 35.36/35.40 include('Axioms/GEO006+6.ax').
% 35.36/35.40 %------------------------------------------------------------------------------
% 35.36/35.40 fof(con,conjecture,
% 35.36/35.40 ! [X,Y,U,V] :
% 35.36/35.40 ( ( convergent_lines(X,Y)
% 35.36/35.40 & convergent_lines(U,V)
% 35.36/35.40 & incident_point_and_line(intersection_point(X,Y),U)
% 35.36/35.40 & incident_point_and_line(intersection_point(X,Y),V) )
% 35.36/35.40 => ( incident_point_and_line(intersection_point(U,V),X)
% 35.36/35.40 & incident_point_and_line(intersection_point(U,V),Y) ) ) ).
% 35.36/35.40
% 35.36/35.40 %------------------------------------------------------------------------------
% 35.36/35.40 %-------------------------------------------
% 35.36/35.40 % Proof found
% 35.36/35.40 % SZS status Theorem for theBenchmark
% 35.36/35.40 % SZS output start Proof
% 35.36/35.40 %ClaNum:51(EqnAxiom:0)
% 35.36/35.40 %VarNum:218(SingletonVarNum:98)
% 35.36/35.40 %MaxLitNum:6
% 35.36/35.40 %MaxfuncDepth:1
% 35.36/35.40 %SharedTerms:12
% 35.36/35.40 %goalClause: 1 2 3 4 50
% 35.36/35.40 %singleGoalClaCount:4
% 35.36/35.40 [1]P1(a1,a2)
% 35.36/35.40 [2]P1(a3,a4)
% 35.36/35.40 [3]P3(f5(a1,a2),a3)
% 35.36/35.40 [4]P3(f5(a1,a2),a4)
% 35.36/35.40 [5]~P4(x51,x51)
% 35.36/35.40 [6]~P5(x61,x61)
% 35.36/35.40 [7]~P1(x71,x71)
% 35.36/35.40 [8]~P2(x81,f6(x82,x81))
% 35.36/35.40 [9]~P2(x91,f7(x92,x91))
% 35.36/35.40 [10]~P1(f6(x101,x102),x101)
% 35.36/35.40 [11]~P8(f7(x111,x112),x111)
% 35.36/35.40 [50]~P3(f5(a3,a4),a2)+~P3(f5(a3,a4),a1)
% 35.36/35.40 [12]P6(x121,x122)+P4(x121,x122)
% 35.36/35.40 [13]P7(x131,x132)+P5(x131,x132)
% 35.36/35.40 [15]P8(x151,x152)+P1(x151,x152)
% 35.36/35.40 [16]P9(x161,x162)+P1(x161,x162)
% 35.36/35.40 [17]P3(x171,x172)+P2(x171,x172)
% 35.36/35.40 [18]P10(x181,x182)+P8(x181,x182)
% 35.36/35.40 [19]~P5(x191,x192)+P1(x191,x192)
% 35.36/35.40 [22]~P6(x221,x222)+~P4(x221,x222)
% 35.36/35.40 [23]~P7(x231,x232)+~P5(x231,x232)
% 35.36/35.40 [24]~P9(x241,x242)+~P1(x241,x242)
% 35.36/35.40 [25]~P3(x251,x252)+~P2(x251,x252)
% 35.36/35.40 [26]~P10(x261,x262)+~P8(x261,x262)
% 35.36/35.40 [46]~P4(x461,x462)+~P2(x462,f8(x461,x462))
% 35.36/35.40 [47]~P4(x471,x472)+~P2(x471,f8(x471,x472))
% 35.36/35.40 [48]~P1(x481,x482)+~P2(f5(x481,x482),x482)
% 35.36/35.40 [49]~P1(x491,x492)+~P2(f5(x491,x492),x491)
% 35.36/35.40 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 35.36/35.40 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 35.36/35.40 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 35.36/35.40 [28]~P2(x281,x283)+P4(x281,x282)+P2(x282,x283)
% 35.36/35.40 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 35.36/35.40 [30]~P1(x303,x301)+P5(x301,x302)+P1(x303,x302)
% 35.36/35.40 [31]~P2(x313,x311)+P5(x311,x312)+P2(x313,x312)
% 35.36/35.40 [32]~P1(x323,x321)+P1(x321,x322)+P1(x323,x322)
% 35.36/35.40 [33]~P1(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 35.36/35.40 [35]~P11(x352)+~P11(x351)+~P1(x351,x352)+P12(f5(x351,x352))
% 35.36/35.40 [36]~P12(x362)+~P12(x361)+~P4(x361,x362)+P11(f8(x361,x362))
% 35.36/35.40 [38]~P1(x381,x383)+~P8(x381,x383)+P1(x381,x382)+P8(x383,x382)
% 35.36/35.40 [39]~P1(x392,x393)+~P8(x392,x393)+P1(x391,x392)+P1(x391,x393)
% 35.36/35.40 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P8(x401,x403)
% 35.36/35.40 [41]~P1(x413,x411)+~P8(x413,x411)+P1(x411,x412)+P8(x413,x412)
% 35.36/35.40 [42]~P1(x423,x422)+~P8(x423,x422)+P1(x421,x422)+P8(x421,x423)
% 35.36/35.41 [43]~P1(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 35.36/35.41 [45]P8(x453,x454)+~P5(x453,x452)+P2(x451,x452)+P2(x451,x453)+P8(x452,x454)
% 35.36/35.41 [51]P2(x514,x513)+~P4(x514,x511)+~P5(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 35.36/35.41 %EqnAxiom
% 35.36/35.41
% 35.36/35.41 %-------------------------------------------
% 35.39/35.41 cnf(60,plain,
% 35.39/35.41 (~P5(f6(x601,x602),x601)),
% 35.39/35.41 inference(scs_inference,[],[1,7,8,10,24,16,17,15,19])).
% 35.39/35.41 cnf(71,plain,
% 35.39/35.41 (~P1(x711,x711)),
% 35.39/35.41 inference(rename_variables,[],[7])).
% 35.39/35.41 cnf(73,plain,
% 35.39/35.41 (P1(a2,a1)),
% 35.39/35.41 inference(scs_inference,[],[1,5,6,7,71,8,10,11,24,16,17,15,19,12,13,18,26,30,32])).
% 35.39/35.41 cnf(76,plain,
% 35.39/35.41 (P8(f7(a1,x761),a2)),
% 35.39/35.41 inference(scs_inference,[],[1,5,6,7,71,8,10,11,24,16,17,15,19,12,13,18,26,30,32,33])).
% 35.39/35.41 cnf(79,plain,
% 35.39/35.41 (P5(a1,a2)),
% 35.39/35.41 inference(scs_inference,[],[1,5,6,7,71,8,10,11,24,16,17,15,19,12,13,18,26,30,32,33,29])).
% 35.39/35.42 cnf(105,plain,
% 35.39/35.42 (P8(f6(x1051,x1052),x1051)),
% 35.39/35.42 inference(scs_inference,[],[2,60,9,10,17,13,16,24,15])).
% 35.39/35.42 cnf(111,plain,
% 35.39/35.42 (~P2(x1111,f6(f7(x1112,x1111),x1113))),
% 35.39/35.42 inference(scs_inference,[],[2,76,60,9,79,10,17,13,16,24,15,26,23,31])).
% 35.39/35.42 cnf(112,plain,
% 35.39/35.42 (~P5(f6(x1121,x1122),x1121)),
% 35.39/35.42 inference(rename_variables,[],[60])).
% 35.39/35.42 cnf(114,plain,
% 35.39/35.42 (~P1(f6(x1141,x1142),f6(x1141,x1143))),
% 35.39/35.42 inference(scs_inference,[],[2,76,60,112,9,79,10,17,13,16,24,15,26,23,31,30])).
% 35.39/35.42 cnf(117,plain,
% 35.39/35.42 (~P5(f6(x1171,x1172),f6(x1171,x1173))),
% 35.39/35.42 inference(scs_inference,[],[2,76,60,112,9,79,10,17,13,16,24,15,26,23,31,30,19])).
% 35.39/35.42 cnf(160,plain,
% 35.39/35.42 (~P2(x1601,f6(x1602,x1603))),
% 35.39/35.42 inference(scs_inference,[],[114,73,105,117,111,8,16,17,13,15,24,26,31])).
% 35.39/35.42 cnf(1921,plain,
% 35.39/35.42 (P2(f5(a3,a4),a1)+~P3(f5(a3,a4),a2)),
% 35.39/35.42 inference(scs_inference,[],[50,17])).
% 35.39/35.42 cnf(4256,plain,
% 35.39/35.42 (~P5(x42561,f6(x42561,x42562))),
% 35.39/35.42 inference(scs_inference,[],[60,7,30,15,16,19])).
% 35.39/35.42 cnf(8588,plain,
% 35.39/35.42 (~P2(x85881,x85882)),
% 35.39/35.42 inference(scs_inference,[],[160,4256,31])).
% 35.39/35.42 cnf(8594,plain,
% 35.39/35.42 (~P3(f5(a3,a4),a2)),
% 35.39/35.42 inference(scs_inference,[],[8588,1921])).
% 35.39/35.42 cnf(8596,plain,
% 35.39/35.42 ($false),
% 35.39/35.42 inference(scs_inference,[],[8594,8588,17]),
% 35.39/35.42 ['proof']).
% 35.41/35.42 % SZS output end Proof
% 35.41/35.42 % Total time :34.780000s
%------------------------------------------------------------------------------