%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO223+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 06:04:43 EDT 2024
% Result : Theorem 8.85s 8.90s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GEO223+2 : TPTP v8.2.0. Released v3.3.0.
% 0.13/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 08:37:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.56/0.60 start to proof:theBenchmark
% 8.85/8.90 %-------------------------------------------
% 8.85/8.90 % File :CSE---1.7
% 8.85/8.90 % Problem :theBenchmark
% 8.85/8.90 % Transform :cnf
% 8.85/8.90 % Format :tptp:raw
% 8.85/8.90 % Command :java -jar mcs_scs.jar %d %s
% 8.85/8.90
% 8.85/8.90 % Result :Theorem 8.250000s
% 8.85/8.90 % Output :CNFRefutation 8.250000s
% 8.85/8.90 %-------------------------------------------
% 8.85/8.90 %------------------------------------------------------------------------------
% 8.85/8.90 % File : GEO223+2 : TPTP v8.2.0. Released v3.3.0.
% 8.85/8.90 % Domain : Geometry (Constructive)
% 8.85/8.90 % Problem : Corollary to uniqueness of parallels
% 8.85/8.90 % Version : [vPl95] axioms : Reduced > Especial.
% 8.85/8.90 % English : The parallel to line L through a point A is equal to the line,
% 8.85/8.90 % that is orthogonal to the orthogonal to L through A, and goes
% 8.85/8.90 % through A as well.
% 8.85/8.90
% 8.85/8.90 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 8.85/8.90 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 8.85/8.90 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 8.85/8.90 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 8.85/8.90 % Source : [ILTP]
% 8.85/8.90 % Names :
% 8.85/8.90
% 8.85/8.90 % Status : Theorem
% 8.85/8.90 % Rating : 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 0.33 v5.4.0, 0.30 v5.3.0, 0.39 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.30 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 8.85/8.90 % Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% 8.85/8.90 % Number of atoms : 56 ( 0 equ)
% 8.85/8.90 % Maximal formula atoms : 6 ( 2 avg)
% 8.85/8.90 % Number of connectives : 43 ( 8 ~; 16 |; 5 &)
% 8.85/8.90 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 8.85/8.90 % Maximal formula depth : 9 ( 5 avg)
% 8.85/8.90 % Maximal term depth : 3 ( 1 avg)
% 8.85/8.90 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 8.85/8.90 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 8.85/8.90 % Number of variables : 52 ( 52 !; 0 ?)
% 8.85/8.90 % SPC : FOF_THM_RFO_NEQ
% 8.85/8.90
% 8.85/8.90 % Comments : Definitions unfolded, hence Especial.
% 8.85/8.90 %------------------------------------------------------------------------------
% 8.85/8.90 include('Axioms/GEO008+0.ax').
% 8.85/8.90 include('Axioms/GEO006+2.ax').
% 8.85/8.90 include('Axioms/GEO006+3.ax').
% 8.85/8.90 %------------------------------------------------------------------------------
% 8.85/8.90 fof(con,conjecture,
% 8.85/8.90 ! [A,L] : ~ distinct_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 8.85/8.90
% 8.85/8.90 %------------------------------------------------------------------------------
% 8.85/8.90 %-------------------------------------------
% 8.85/8.90 % Proof found
% 8.85/8.90 % SZS status Theorem for theBenchmark
% 8.85/8.90 % SZS output start Proof
% 8.85/8.90 %ClaNum:26(EqnAxiom:0)
% 8.85/8.90 %VarNum:138(SingletonVarNum:62)
% 8.85/8.90 %MaxLitNum:6
% 8.85/8.90 %MaxfuncDepth:2
% 8.85/8.90 %SharedTerms:6
% 8.85/8.90 %goalClause: 1
% 8.85/8.90 %singleGoalClaCount:1
% 8.85/8.90 [1]P1(f3(a1,a2),f4(f4(a1,a2),a2))
% 8.85/8.90 [2]~P4(x21,x21)
% 8.85/8.90 [3]~P1(x31,x31)
% 8.85/8.90 [4]~P2(x41,x41)
% 8.85/8.91 [5]~P3(x51,f3(x52,x51))
% 8.85/8.91 [6]~P3(x61,f4(x62,x61))
% 8.85/8.91 [7]~P2(f3(x71,x72),x71)
% 8.85/8.91 [8]~P5(f4(x81,x82),x81)
% 8.85/8.91 [9]P5(x91,x92)+P2(x91,x92)
% 8.85/8.91 [10]~P2(x101,x102)+P1(x101,x102)
% 8.85/8.91 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 8.85/8.91 [12]~P3(x121,x123)+P4(x121,x122)+P3(x122,x123)
% 8.85/8.91 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 8.85/8.91 [14]~P3(x143,x141)+P1(x141,x142)+P3(x143,x142)
% 8.85/8.91 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 8.85/8.91 [22]~P2(x222,x223)+~P3(x221,x223)+P4(x221,f5(x222,x223))
% 8.85/8.91 [23]~P2(x232,x233)+~P3(x231,x232)+P4(x231,f5(x232,x233))
% 8.85/8.91 [24]P4(x241,x242)+~P4(x243,x242)+~P3(x241,f6(x243,x242))
% 8.85/8.91 [25]P4(x251,x252)+~P4(x252,x253)+~P3(x251,f6(x252,x253))
% 8.85/8.91 [16]P3(x163,x161)+~P1(x161,x162)+P2(x161,x162)+P3(x163,x162)
% 8.85/8.91 [18]~P2(x181,x183)+~P5(x181,x183)+P2(x181,x182)+P5(x183,x182)
% 8.85/8.91 [19]~P2(x193,x191)+~P5(x193,x191)+P2(x191,x192)+P5(x193,x192)
% 8.85/8.91 [20]~P2(x201,x203)+~P5(x201,x203)+P5(x201,x202)+P5(x203,x202)
% 8.85/8.91 [21]P5(x213,x214)+~P1(x213,x212)+P3(x211,x212)+P3(x211,x213)+P5(x212,x214)
% 8.85/8.91 [26]P3(x264,x263)+~P4(x264,x261)+~P1(x263,x262)+P3(x261,x262)+P3(x261,x263)+P3(x264,x262)
% 8.85/8.91 %EqnAxiom
% 8.85/8.91
% 8.85/8.91 %-------------------------------------------
% 8.85/8.91 cnf(29,plain,
% 8.85/8.91 (P1(f4(f4(a1,a2),a2),f3(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[1,3,4,9,13])).
% 8.85/8.91 cnf(34,plain,
% 8.85/8.91 (~P5(f4(x341,x342),x341)),
% 8.85/8.91 inference(rename_variables,[],[8])).
% 8.85/8.91 cnf(37,plain,
% 8.85/8.91 (~P2(x371,x372)+~P3(f5(x371,x372),x372)),
% 8.85/8.91 inference(scs_inference,[],[1,3,5,6,2,4,8,9,13,21,22])).
% 8.85/8.91 cnf(38,plain,
% 8.85/8.91 (~P4(x381,x381)),
% 8.85/8.91 inference(rename_variables,[],[2])).
% 8.85/8.91 cnf(40,plain,
% 8.85/8.91 (~P2(f3(a1,a2),f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[1,3,5,6,2,4,7,8,34,9,13,21,22,18])).
% 8.85/8.91 cnf(44,plain,
% 8.85/8.91 (~P2(x441,x442)+~P3(f5(x441,x442),x441)),
% 8.85/8.91 inference(scs_inference,[],[1,3,5,6,2,38,4,7,8,34,9,13,21,22,18,23])).
% 8.85/8.91 cnf(52,plain,
% 8.85/8.91 (~P1(f3(a1,a2),f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[5,6,40,7,9,16])).
% 8.85/8.91 cnf(56,plain,
% 8.85/8.91 (P1(f4(f4(a1,a2),a2),f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[1,5,6,40,7,9,16,13])).
% 8.85/8.91 cnf(59,plain,
% 8.85/8.91 (~P2(x591,f3(x591,x592))),
% 8.85/8.91 inference(scs_inference,[],[7,4,15])).
% 8.85/8.91 cnf(81,plain,
% 8.85/8.91 (~P1(f3(f4(x811,x812),x812),f4(x811,x812))),
% 8.85/8.91 inference(scs_inference,[],[6,5,7,16])).
% 8.85/8.91 cnf(89,plain,
% 8.85/8.91 (P5(f4(f4(a1,a2),a2),a1)+P3(a2,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[56,6,8,21])).
% 8.85/8.91 cnf(98,plain,
% 8.85/8.91 (P5(f4(f4(a1,a2),a2),a1)),
% 8.85/8.91 inference(scs_inference,[],[6,2,89,12])).
% 8.85/8.91 cnf(102,plain,
% 8.85/8.91 (P5(a1,f4(a1,a2))+~P2(f4(f4(a1,a2),a2),a1)),
% 8.85/8.91 inference(scs_inference,[],[98,4,8,18,20])).
% 8.85/8.91 cnf(103,plain,
% 8.85/8.91 (~P5(f4(x1031,x1032),x1031)),
% 8.85/8.91 inference(rename_variables,[],[8])).
% 8.85/8.91 cnf(105,plain,
% 8.85/8.91 (~P2(f4(f4(a1,a2),a2),a1)+P2(a1,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[98,4,8,103,18,20,19])).
% 8.85/8.91 cnf(110,plain,
% 8.85/8.91 (P3(a2,a1)+~P1(f4(f4(a1,a2),a2),a1)+P5(a1,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[6,102,16])).
% 8.85/8.91 cnf(111,plain,
% 8.85/8.91 (~P2(f3(f4(a1,a2),x1111),f3(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[40,7,15])).
% 8.85/8.91 cnf(134,plain,
% 8.85/8.91 (P3(a2,a1)+~P1(f4(f4(a1,a2),a2),a1)+P2(a1,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[6,105,16])).
% 8.85/8.91 cnf(287,plain,
% 8.85/8.91 (~P2(a1,f4(a1,a2))+~P1(f4(f4(a1,a2),a2),a1)+P3(a2,a1)),
% 8.85/8.91 inference(scs_inference,[],[8,4,110,18])).
% 8.85/8.91 cnf(303,plain,
% 8.85/8.91 (~P5(a1,f4(a1,a2))+~P1(f4(f4(a1,a2),a2),a1)+P3(a2,a1)),
% 8.85/8.91 inference(scs_inference,[],[8,4,134,18])).
% 8.85/8.91 cnf(335,plain,
% 8.85/8.91 (P1(f3(a1,a2),a1)+P3(a2,a1)+~P2(a1,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[29,287,13])).
% 8.85/8.91 cnf(351,plain,
% 8.85/8.91 (P1(a1,f3(x3511,a2))+P1(f3(a1,a2),a1)+~P2(a1,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[5,335,14])).
% 8.85/8.91 cnf(367,plain,
% 8.85/8.91 (P1(a1,f3(x3671,a2))+~P1(f4(f4(a1,a2),a2),a1)+~P5(a1,f4(a1,a2))),
% 8.85/8.91 inference(scs_inference,[],[5,303,14])).
% 8.85/8.91 cnf(405,plain,
% 8.85/8.91 (~P2(f3(f3(a1,a2),x4051),f3(f4(a1,a2),x4052))),
% 8.85/8.91 inference(scs_inference,[],[111,7,15])).
% 8.85/8.91 cnf(422,plain,
% 8.85/8.91 (~P2(a1,f3(f4(a1,a2),x4221))),
% 8.85/8.91 inference(scs_inference,[],[111,59,15])).
% 8.85/8.91 cnf(556,plain,
% 8.85/8.91 (P1(f4(a1,a2),f4(f4(a1,a2),a2))),
% 8.85/8.91 inference(scs_inference,[],[56,3,13])).
% 8.85/8.91 cnf(1243,plain,
% 8.85/8.91 (~P2(f3(f3(x12431,x12432),x12433),x12431)),
% 8.85/8.91 inference(scs_inference,[],[59,7,15])).
% 8.85/8.91 cnf(1351,plain,
% 8.85/8.91 (P1(f3(a1,a2),a1)+~P5(a1,f4(a1,a2))+P1(a1,f3(x13511,a2))),
% 8.85/8.91 inference(scs_inference,[],[29,367,13])).
% 8.85/8.91 cnf(1404,plain,
% 8.85/8.91 (P3(a2,a1)+~P5(a1,f4(a1,a2))+P1(a1,f3(x14041,a2))),
% 8.85/8.91 inference(scs_inference,[],[7,5,1351,16])).
% 8.85/8.91 cnf(1655,plain,
% 8.85/8.91 (~P2(f3(f3(x16551,x16552),x16553),f3(x16551,x16554))),
% 8.85/8.91 inference(scs_inference,[],[7,1243,15])).
% 8.85/8.91 cnf(1660,plain,
% 8.85/8.91 (P3(x16601,f3(f3(x16602,x16603),x16604))+~P1(f3(f3(x16602,x16603),x16604),f3(x16602,x16601))),
% 8.85/8.91 inference(scs_inference,[],[5,7,1243,15,9,16])).
% 8.85/8.91 cnf(1701,plain,
% 8.85/8.92 (~P1(f3(f3(x17011,x17012),x17013),f3(x17011,x17013))),
% 8.85/8.92 inference(scs_inference,[],[5,2,1660,12])).
% 8.85/8.92 cnf(2242,plain,
% 8.85/8.92 (P1(f4(f4(a1,a2),a2),f3(f3(a1,a2),a2))),
% 8.85/8.92 inference(scs_inference,[],[556,6,5,405,59,15,16,9,13])).
% 8.85/8.92 cnf(2780,plain,
% 8.85/8.92 (~P3(f5(f4(x27801,x27802),x27801),x27801)),
% 8.85/8.92 inference(scs_inference,[],[8,9,37])).
% 8.85/8.92 cnf(2874,plain,
% 8.85/8.92 (~P3(f5(f4(x28741,x28742),x28741),f4(x28741,x28742))),
% 8.85/8.92 inference(scs_inference,[],[8,9,44])).
% 8.85/8.92 cnf(2875,plain,
% 8.85/8.92 (~P3(f5(f4(a1,a2),a1),f3(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[52,2874,14])).
% 8.85/8.92 cnf(2884,plain,
% 8.85/8.92 (~P3(f5(f4(x28841,x28842),x28841),f3(f4(x28841,x28842),x28842))),
% 8.85/8.92 inference(scs_inference,[],[81,1655,7,2874,15,14])).
% 8.85/8.92 cnf(3921,plain,
% 8.85/8.92 (~P1(a1,f3(f4(a1,a2),a2))),
% 8.85/8.92 inference(scs_inference,[],[2884,422,2780,16])).
% 8.85/8.92 cnf(3926,plain,
% 8.85/8.92 (P1(f3(a1,a2),a1)+~P2(a1,f4(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[2884,422,2780,16,351])).
% 8.85/8.92 cnf(3942,plain,
% 8.85/8.92 (~P1(f4(f4(a1,a2),a2),a1)+~P5(a1,f4(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[3921,367])).
% 8.85/8.92 cnf(3947,plain,
% 8.85/8.92 (P1(f3(a1,a2),a1)+~P5(a1,f4(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[3921,1351])).
% 8.85/8.92 cnf(3948,plain,
% 8.85/8.92 (P3(a2,a1)+~P5(a1,f4(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[3921,1404])).
% 8.85/8.92 cnf(3953,plain,
% 8.85/8.92 (~P1(a1,f3(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[2875,59,2780,16])).
% 8.85/8.92 cnf(4020,plain,
% 8.85/8.92 (~P2(a1,f4(a1,a2))),
% 8.85/8.92 inference(scs_inference,[],[7,2780,2875,3926,16])).
% 8.85/8.92 cnf(4034,plain,
% 8.85/8.92 (P1(f3(f3(a1,a2),a2),a1)),
% 8.85/8.92 inference(scs_inference,[],[2242,2,2780,4020,9,3942,3947,3948,12,11,13])).
% 8.85/8.92 cnf(4040,plain,
% 8.85/8.92 ($false),
% 8.85/8.92 inference(scs_inference,[],[1701,3953,4034,13]),
% 8.85/8.92 ['proof']).
% 8.85/8.92 % SZS output end Proof
% 8.85/8.92 % Total time :8.250000s
%------------------------------------------------------------------------------