TSTP Solution File: GEO220+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO220+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 22:43:48 EDT 2023
% Result : Theorem 0.14s 0.58s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GEO220+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.09/0.31 % Computer : n016.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 29 23:07:01 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.53 start to proof:theBenchmark
% 0.14/0.57 %-------------------------------------------
% 0.14/0.57 % File :CSE---1.6
% 0.14/0.57 % Problem :theBenchmark
% 0.14/0.57 % Transform :cnf
% 0.14/0.57 % Format :tptp:raw
% 0.14/0.57 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.57
% 0.14/0.57 % Result :Theorem 0.000000s
% 0.14/0.57 % Output :CNFRefutation 0.000000s
% 0.14/0.57 %-------------------------------------------
% 0.14/0.58 %------------------------------------------------------------------------------
% 0.14/0.58 % File : GEO220+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.58 % Domain : Geometry (Constructive)
% 0.14/0.58 % Problem : Transitivity of orthogonal
% 0.14/0.58 % Version : [vPl95] axioms : Reduced > Especial.
% 0.14/0.58 % English : If a line L is orthogonal to line M and line N is orthogonal
% 0.14/0.58 % to L, then M and N are parallel.
% 0.14/0.58
% 0.14/0.58 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.14/0.58 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.14/0.58 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.14/0.58 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.14/0.58 % Source : [ILTP]
% 0.14/0.58 % Names :
% 0.14/0.58
% 0.14/0.58 % Status : Theorem
% 0.14/0.58 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 0.14/0.58 % Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% 0.14/0.58 % Number of atoms : 48 ( 0 equ)
% 0.14/0.58 % Maximal formula atoms : 6 ( 3 avg)
% 0.14/0.58 % Number of connectives : 50 ( 18 ~; 12 |; 6 &)
% 0.14/0.58 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 0.14/0.58 % Maximal formula depth : 9 ( 6 avg)
% 0.14/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.14/0.58 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.14/0.58 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.14/0.58 % Number of variables : 41 ( 41 !; 0 ?)
% 0.14/0.58 % SPC : FOF_THM_RFO_NEQ
% 0.14/0.58
% 0.14/0.58 % Comments : Definitions unfolded, hence Especial.
% 0.14/0.58 %------------------------------------------------------------------------------
% 0.14/0.58 include('Axioms/GEO008+0.ax').
% 0.14/0.58 include('Axioms/GEO006+4.ax').
% 0.14/0.58 %------------------------------------------------------------------------------
% 0.14/0.58 fof(con,conjecture,
% 0.14/0.58 ! [L,M,N] :
% 0.14/0.58 ( ( ~ unorthogonal_lines(L,M)
% 0.14/0.58 & ~ unorthogonal_lines(L,N) )
% 0.14/0.58 => ~ convergent_lines(M,N) ) ).
% 0.14/0.58
% 0.14/0.58 %------------------------------------------------------------------------------
% 0.14/0.58 %-------------------------------------------
% 0.14/0.58 % Proof found
% 0.14/0.58 % SZS status Theorem for theBenchmark
% 0.14/0.58 % SZS output start Proof
% 0.14/0.58 %ClaNum:23(EqnAxiom:0)
% 0.14/0.58 %VarNum:114(SingletonVarNum:50)
% 0.14/0.58 %MaxLitNum:6
% 0.14/0.58 %MaxfuncDepth:1
% 0.14/0.58 %SharedTerms:6
% 0.14/0.58 %goalClause: 1 2 3
% 0.14/0.58 %singleGoalClaCount:3
% 0.14/0.58 [1]P1(a1,a3)
% 0.14/0.58 [2]~P3(a2,a1)
% 0.14/0.58 [3]~P3(a2,a3)
% 0.14/0.58 [4]~P4(x41,x41)
% 0.14/0.58 [5]~P5(x51,x51)
% 0.14/0.58 [6]~P1(x61,x61)
% 0.14/0.58 [7]P3(x71,x72)+P1(x71,x72)
% 0.14/0.58 [8]~P1(x81,x82)+P5(x81,x82)
% 0.14/0.58 [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 0.14/0.58 [10]~P2(x101,x103)+P4(x101,x102)+P2(x102,x103)
% 0.14/0.58 [11]~P5(x113,x111)+P5(x111,x112)+P5(x113,x112)
% 0.14/0.58 [12]~P2(x123,x121)+P5(x121,x122)+P2(x123,x122)
% 0.14/0.58 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 0.14/0.58 [14]~P1(x143,x142)+P3(x141,x142)+P3(x141,x143)
% 0.14/0.58 [19]~P1(x192,x193)+~P2(x191,x193)+P4(x191,f4(x192,x193))
% 0.14/0.58 [20]~P1(x202,x203)+~P2(x201,x202)+P4(x201,f4(x202,x203))
% 0.14/0.58 [21]P4(x211,x212)+~P4(x213,x212)+~P2(x211,f5(x213,x212))
% 0.14/0.58 [22]P4(x221,x222)+~P4(x222,x223)+~P2(x221,f5(x222,x223))
% 0.14/0.58 [15]~P1(x152,x153)+~P3(x152,x153)+P1(x151,x152)+P1(x151,x153)
% 0.14/0.58 [16]~P1(x162,x163)+~P3(x162,x163)+P1(x161,x162)+P3(x161,x163)
% 0.14/0.58 [17]~P1(x173,x172)+~P3(x173,x172)+P1(x171,x172)+P3(x171,x173)
% 0.14/0.58 [23]P2(x234,x233)+~P4(x234,x231)+~P5(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 0.14/0.58 %EqnAxiom
% 0.14/0.58
% 0.14/0.58 %-------------------------------------------
% 0.14/0.58 cnf(24,plain,
% 0.14/0.58 ($false),
% 0.14/0.58 inference(scs_inference,[],[1,3,2,14]),
% 0.14/0.58 ['proof']).
% 0.14/0.58 % SZS output end Proof
% 0.14/0.58 % Total time :0.000000s
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