%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO222+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 06:04:42 EDT 2024
% Result : Theorem 1.95s 1.98s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO222+2 : TPTP v8.2.0. Released v3.3.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jun 21 08:44:39 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 1.95/1.98 %-------------------------------------------
% 1.95/1.98 % File :CSE---1.7
% 1.95/1.98 % Problem :theBenchmark
% 1.95/1.98 % Transform :cnf
% 1.95/1.98 % Format :tptp:raw
% 1.95/1.98 % Command :java -jar mcs_scs.jar %d %s
% 1.95/1.98
% 1.95/1.98 % Result :Theorem 1.360000s
% 1.95/1.98 % Output :CNFRefutation 1.360000s
% 1.95/1.98 %-------------------------------------------
% 1.95/1.98 %------------------------------------------------------------------------------
% 1.95/1.98 % File : GEO222+2 : TPTP v8.2.0. Released v3.3.0.
% 1.95/1.98 % Domain : Geometry (Constructive)
% 1.95/1.98 % Problem : Parallel to orthogonal to orthogonal
% 1.95/1.98 % Version : [vPl95] axioms : Reduced > Especial.
% 1.95/1.98 % English : A line L is parallel to the line, that is orthogonal to the
% 1.95/1.98 % orthogonal to L through A, and goes through A as well.
% 1.95/1.98
% 1.95/1.98 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.95/1.98 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 1.95/1.98 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 1.95/1.98 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.95/1.98 % Source : [ILTP]
% 1.95/1.98 % Names :
% 1.95/1.98
% 1.95/1.98 % Status : Theorem
% 1.95/1.98 % 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, 0.08 v6.0.0, 0.00 v5.5.0, 0.25 v5.4.0, 0.17 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 1.95/1.98 % Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% 1.95/1.98 % Number of atoms : 56 ( 0 equ)
% 1.95/1.98 % Maximal formula atoms : 6 ( 2 avg)
% 1.95/1.98 % Number of connectives : 43 ( 8 ~; 16 |; 5 &)
% 1.95/1.98 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 1.95/1.98 % Maximal formula depth : 9 ( 5 avg)
% 1.95/1.98 % Maximal term depth : 3 ( 1 avg)
% 1.95/1.98 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 1.95/1.98 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 1.95/1.98 % Number of variables : 52 ( 52 !; 0 ?)
% 1.95/1.98 % SPC : FOF_THM_RFO_NEQ
% 1.95/1.98
% 1.95/1.98 % Comments : Definitions unfolded, hence Especial.
% 1.95/1.98 %------------------------------------------------------------------------------
% 1.95/1.98 include('Axioms/GEO008+0.ax').
% 1.95/1.98 include('Axioms/GEO006+2.ax').
% 1.95/1.98 include('Axioms/GEO006+3.ax').
% 1.95/1.98 %------------------------------------------------------------------------------
% 1.95/1.98 fof(con,conjecture,
% 1.95/1.98 ! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 1.95/1.98
% 1.95/1.98 %------------------------------------------------------------------------------
% 1.95/1.98 %-------------------------------------------
% 1.95/1.98 % Proof found
% 1.95/1.98 % SZS status Theorem for theBenchmark
% 1.95/1.98 % SZS output start Proof
% 1.95/1.99 %ClaNum:26(EqnAxiom:0)
% 1.95/1.99 %VarNum:138(SingletonVarNum:62)
% 1.95/1.99 %MaxLitNum:6
% 1.95/1.99 %MaxfuncDepth:2
% 1.95/1.99 %SharedTerms:5
% 1.95/1.99 %goalClause: 1
% 1.95/1.99 %singleGoalClaCount:1
% 1.95/1.99 [1]P1(a1,f3(f3(a1,a2),a2))
% 1.95/1.99 [2]~P3(x21,x21)
% 1.95/1.99 [3]~P4(x31,x31)
% 1.95/1.99 [4]~P1(x41,x41)
% 1.95/1.99 [5]~P2(x51,f6(x52,x51))
% 1.95/1.99 [6]~P2(x61,f3(x62,x61))
% 1.95/1.99 [7]~P1(f6(x71,x72),x71)
% 1.95/1.99 [8]~P5(f3(x81,x82),x81)
% 1.95/1.99 [9]P5(x91,x92)+P1(x91,x92)
% 1.95/1.99 [10]~P1(x101,x102)+P4(x101,x102)
% 1.95/1.99 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 1.95/1.99 [12]~P2(x121,x123)+P3(x121,x122)+P2(x122,x123)
% 1.95/1.99 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 1.95/1.99 [14]~P2(x143,x141)+P4(x141,x142)+P2(x143,x142)
% 1.95/1.99 [15]~P1(x153,x151)+P1(x151,x152)+P1(x153,x152)
% 1.95/1.99 [22]~P1(x222,x223)+~P2(x221,x223)+P3(x221,f4(x222,x223))
% 1.95/1.99 [23]~P1(x232,x233)+~P2(x231,x232)+P3(x231,f4(x232,x233))
% 1.95/1.99 [24]P3(x241,x242)+~P3(x243,x242)+~P2(x241,f5(x243,x242))
% 1.95/1.99 [25]P3(x251,x252)+~P3(x252,x253)+~P2(x251,f5(x252,x253))
% 1.95/1.99 [16]P2(x163,x161)+~P4(x161,x162)+P1(x161,x162)+P2(x163,x162)
% 1.95/1.99 [18]~P1(x181,x183)+~P5(x181,x183)+P1(x181,x182)+P5(x183,x182)
% 1.95/1.99 [19]~P1(x193,x191)+~P5(x193,x191)+P1(x191,x192)+P5(x193,x192)
% 1.95/1.99 [20]~P1(x201,x203)+~P5(x201,x203)+P5(x201,x202)+P5(x203,x202)
% 1.95/1.99 [21]P5(x213,x214)+~P4(x213,x212)+P2(x211,x212)+P2(x211,x213)+P5(x212,x214)
% 1.95/1.99 [26]P2(x264,x263)+~P3(x264,x261)+~P4(x263,x262)+P2(x261,x262)+P2(x261,x263)+P2(x264,x262)
% 1.95/1.99 %EqnAxiom
% 1.95/1.99
% 1.95/1.99 %-------------------------------------------
% 1.95/1.99 cnf(29,plain,
% 1.95/1.99 (P1(f3(f3(a1,a2),a2),a1)),
% 1.95/1.99 inference(scs_inference,[],[1,4,9,15])).
% 1.95/1.99 cnf(542,plain,
% 1.95/1.99 (~P2(f4(f3(x5421,x5422),x5421),f3(x5421,x5422))),
% 1.95/1.99 inference(scs_inference,[],[2,8,23,9])).
% 1.95/1.99 cnf(883,plain,
% 1.95/1.99 (P4(f3(x8831,x8832),x8831)),
% 1.95/1.99 inference(scs_inference,[],[8,9,10])).
% 1.95/1.99 cnf(948,plain,
% 1.95/1.99 (~P2(f4(f3(x9481,x9482),x9481),x9481)),
% 1.95/1.99 inference(scs_inference,[],[8,2,9,22])).
% 1.95/1.99 cnf(1012,plain,
% 1.95/1.99 (P5(f3(f3(x10121,x10122),x10123),x10121)),
% 1.95/1.99 inference(scs_inference,[],[542,948,883,8,21])).
% 1.95/1.99 cnf(1019,plain,
% 1.95/1.99 (~P1(a1,f3(a1,a2))+P5(f3(f3(a1,a2),a2),f3(a1,a2))),
% 1.95/1.99 inference(scs_inference,[],[542,948,29,883,4,8,21,20,18])).
% 1.95/1.99 cnf(1029,plain,
% 1.95/1.99 (~P5(f3(x10291,x10292),x10291)),
% 1.95/1.99 inference(rename_variables,[],[8])).
% 1.95/1.99 cnf(1031,plain,
% 1.95/1.99 ($false),
% 1.95/1.99 inference(scs_inference,[],[29,1012,8,1029,19,1019]),
% 1.95/1.99 ['proof']).
% 1.95/1.99 % SZS output end Proof
% 1.95/1.99 % Total time :1.360000s
%------------------------------------------------------------------------------