%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO217+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 : n026.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 06:04:39 EDT 2024
% Result : Theorem 60.04s 60.25s
% Output : CNFRefutation 60.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO217+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 09:30:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 60.04/60.24 %-------------------------------------------
% 60.04/60.24 % File :CSE---1.7
% 60.04/60.24 % Problem :theBenchmark
% 60.04/60.24 % Transform :cnf
% 60.04/60.24 % Format :tptp:raw
% 60.04/60.24 % Command :java -jar mcs_scs.jar %d %s
% 60.04/60.24
% 60.04/60.24 % Result :Theorem 59.480000s
% 60.04/60.24 % Output :CNFRefutation 59.480000s
% 60.04/60.24 %-------------------------------------------
% 60.04/60.25 %------------------------------------------------------------------------------
% 60.04/60.25 % File : GEO217+2 : TPTP v8.2.0. Released v3.3.0.
% 60.04/60.25 % Domain : Geometry (Constructive)
% 60.04/60.25 % Problem : Transitivity of parallel
% 60.04/60.25 % Version : [vPl95] axioms : Reduced > Especial.
% 60.04/60.25 % English : If a line L is parallel to the lines M and N, then M and N
% 60.04/60.25 % are parallel.
% 60.04/60.25
% 60.04/60.25 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 60.04/60.25 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 60.04/60.25 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 60.04/60.25 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 60.04/60.25 % Source : [ILTP]
% 60.04/60.25 % Names :
% 60.04/60.25
% 60.04/60.25 % Status : Theorem
% 60.04/60.25 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 60.04/60.25 % Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% 60.04/60.25 % Number of atoms : 48 ( 0 equ)
% 60.04/60.25 % Maximal formula atoms : 6 ( 3 avg)
% 60.04/60.25 % Number of connectives : 50 ( 18 ~; 12 |; 6 &)
% 60.04/60.25 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 60.04/60.25 % Maximal formula depth : 9 ( 6 avg)
% 60.04/60.25 % Maximal term depth : 2 ( 1 avg)
% 60.04/60.25 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 60.04/60.25 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 60.04/60.25 % Number of variables : 41 ( 41 !; 0 ?)
% 60.04/60.25 % SPC : FOF_THM_RFO_NEQ
% 60.04/60.25
% 60.04/60.25 % Comments : Definitions unfolded, hence Especial.
% 60.04/60.25 %------------------------------------------------------------------------------
% 60.04/60.25 include('Axioms/GEO008+0.ax').
% 60.04/60.25 include('Axioms/GEO006+4.ax').
% 60.04/60.25 %------------------------------------------------------------------------------
% 60.04/60.25 fof(con,conjecture,
% 60.04/60.25 ! [L,M,N] :
% 60.04/60.25 ( ( ~ convergent_lines(L,M)
% 60.04/60.25 & ~ convergent_lines(L,N) )
% 60.04/60.25 => ~ convergent_lines(M,N) ) ).
% 60.04/60.25
% 60.04/60.25 %------------------------------------------------------------------------------
% 60.04/60.25 %-------------------------------------------
% 60.04/60.25 % Proof found
% 60.04/60.25 % SZS status Theorem for theBenchmark
% 60.04/60.25 % SZS output start Proof
% 60.09/60.25 %ClaNum:23(EqnAxiom:0)
% 60.09/60.25 %VarNum:114(SingletonVarNum:50)
% 60.09/60.25 %MaxLitNum:6
% 60.09/60.25 %MaxfuncDepth:1
% 60.09/60.25 %SharedTerms:6
% 60.09/60.25 %goalClause: 1 2 3
% 60.09/60.25 %singleGoalClaCount:3
% 60.09/60.25 [1]P1(a1,a3)
% 60.09/60.25 [2]~P1(a2,a1)
% 60.09/60.25 [3]~P1(a2,a3)
% 60.09/60.25 [4]~P3(x41,x41)
% 60.09/60.25 [5]~P4(x51,x51)
% 60.09/60.25 [6]~P1(x61,x61)
% 60.09/60.25 [7]P5(x71,x72)+P1(x71,x72)
% 60.09/60.25 [8]~P1(x81,x82)+P4(x81,x82)
% 60.09/60.25 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 60.09/60.25 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 60.09/60.25 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 60.09/60.25 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 60.09/60.25 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 60.09/60.25 [14]~P1(x143,x142)+P5(x141,x142)+P5(x141,x143)
% 60.09/60.25 [19]~P1(x192,x193)+~P2(x191,x193)+P3(x191,f4(x192,x193))
% 60.09/60.25 [20]~P1(x202,x203)+~P2(x201,x202)+P3(x201,f4(x202,x203))
% 60.09/60.25 [21]P3(x211,x212)+~P3(x213,x212)+~P2(x211,f5(x213,x212))
% 60.09/60.25 [22]P3(x221,x222)+~P3(x222,x223)+~P2(x221,f5(x222,x223))
% 60.09/60.25 [15]~P1(x152,x153)+~P5(x152,x153)+P1(x151,x152)+P1(x151,x153)
% 60.09/60.25 [16]~P1(x162,x163)+~P5(x162,x163)+P1(x161,x162)+P5(x161,x163)
% 60.09/60.25 [17]~P1(x173,x172)+~P5(x173,x172)+P1(x171,x172)+P5(x171,x173)
% 60.09/60.25 [23]P2(x234,x233)+~P3(x234,x231)+~P4(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 60.09/60.25 %EqnAxiom
% 60.09/60.25
% 60.09/60.25 %-------------------------------------------
% 60.09/60.26 cnf(26,plain,
% 60.09/60.26 (P1(a3,a1)),
% 60.09/60.26 inference(scs_inference,[],[1,2,6,7,13])).
% 60.09/60.26 cnf(174,plain,
% 60.09/60.26 (~P1(a1,a2)),
% 60.09/60.26 inference(scs_inference,[],[5,2,8,13])).
% 60.09/60.26 cnf(175,plain,
% 60.09/60.26 (P1(a3,a2)),
% 60.09/60.26 inference(scs_inference,[],[174,26,13])).
% 60.09/60.26 cnf(192,plain,
% 60.09/60.26 ($false),
% 60.09/60.26 inference(scs_inference,[],[175,3,6,13]),
% 60.09/60.26 ['proof']).
% 60.09/60.26 % SZS output end Proof
% 60.09/60.26 % Total time :59.480000s
%------------------------------------------------------------------------------