%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO213+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 : n024.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 06:04:36 EDT 2024
% Result : Theorem 3.91s 4.03s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO213+2 : TPTP v8.2.0. Released v3.3.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.36 % Computer : n024.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Jun 21 09:52:54 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.50/0.62 start to proof:theBenchmark
% 3.91/4.02 %-------------------------------------------
% 3.91/4.02 % File :CSE---1.7
% 3.91/4.02 % Problem :theBenchmark
% 3.91/4.02 % Transform :cnf
% 3.91/4.02 % Format :tptp:raw
% 3.91/4.02 % Command :java -jar mcs_scs.jar %d %s
% 3.91/4.02
% 3.91/4.02 % Result :Theorem 3.360000s
% 3.91/4.02 % Output :CNFRefutation 3.360000s
% 3.91/4.02 %-------------------------------------------
% 3.91/4.03 %------------------------------------------------------------------------------
% 3.91/4.03 % File : GEO213+2 : TPTP v8.2.0. Released v3.3.0.
% 3.91/4.03 % Domain : Geometry (Constructive)
% 3.91/4.03 % Problem : Corollary to non-orthogonal lines and a third line
% 3.91/4.03 % Version : [vPl95] axioms : Reduced > Especial.
% 3.91/4.03 % English : If line L is not orthogonal to line M, then a third line N
% 3.91/4.03 % is distinct from L or not orthogonal to M.
% 3.91/4.03
% 3.91/4.03 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 3.91/4.03 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 3.91/4.03 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 3.91/4.03 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 3.91/4.03 % Source : [ILTP]
% 3.91/4.03 % Names :
% 3.91/4.03
% 3.91/4.03 % Status : Theorem
% 3.91/4.03 % 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
% 3.91/4.03 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 3.91/4.03 % Number of atoms : 58 ( 0 equ)
% 3.91/4.03 % Maximal formula atoms : 6 ( 2 avg)
% 3.91/4.03 % Number of connectives : 44 ( 7 ~; 17 |; 5 &)
% 3.91/4.03 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 3.91/4.03 % Maximal formula depth : 9 ( 5 avg)
% 3.91/4.03 % Maximal term depth : 2 ( 1 avg)
% 3.91/4.03 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 3.91/4.03 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 3.91/4.03 % Number of variables : 53 ( 53 !; 0 ?)
% 3.91/4.03 % SPC : FOF_THM_RFO_NEQ
% 3.91/4.03
% 3.91/4.03 % Comments : Definitions unfolded, hence Especial.
% 3.91/4.03 %------------------------------------------------------------------------------
% 3.91/4.03 include('Axioms/GEO008+0.ax').
% 3.91/4.03 include('Axioms/GEO006+2.ax').
% 3.91/4.03 include('Axioms/GEO006+3.ax').
% 3.91/4.03 %------------------------------------------------------------------------------
% 3.91/4.03 fof(con,conjecture,
% 3.91/4.03 ! [L,M,N] :
% 3.91/4.03 ( unorthogonal_lines(L,M)
% 3.91/4.03 => ( distinct_lines(L,N)
% 3.91/4.03 | unorthogonal_lines(M,N) ) ) ).
% 3.91/4.03
% 3.91/4.03 %------------------------------------------------------------------------------
% 3.91/4.03 %-------------------------------------------
% 3.91/4.03 % Proof found
% 3.91/4.03 % SZS status Theorem for theBenchmark
% 3.91/4.03 % SZS output start Proof
% 3.96/4.03 %ClaNum:28(EqnAxiom:0)
% 3.96/4.03 %VarNum:138(SingletonVarNum:62)
% 3.96/4.03 %MaxLitNum:6
% 3.96/4.03 %MaxfuncDepth:1
% 3.96/4.03 %SharedTerms:6
% 3.96/4.03 %goalClause: 1 2 3
% 3.96/4.03 %singleGoalClaCount:3
% 3.96/4.03 [1]P1(a1,a2)
% 3.96/4.03 [2]~P2(a1,a3)
% 3.96/4.03 [3]~P1(a2,a3)
% 3.96/4.03 [4]~P5(x41,x41)
% 3.96/4.03 [5]~P2(x51,x51)
% 3.96/4.03 [6]~P3(x61,x61)
% 3.96/4.03 [7]~P4(x71,f4(x72,x71))
% 3.96/4.03 [8]~P4(x81,f5(x82,x81))
% 3.96/4.03 [9]~P3(f4(x91,x92),x91)
% 3.96/4.03 [10]~P1(f5(x101,x102),x101)
% 3.96/4.03 [11]P1(x111,x112)+P3(x111,x112)
% 3.96/4.03 [12]~P3(x121,x122)+P2(x121,x122)
% 3.96/4.03 [13]~P5(x133,x131)+P5(x131,x132)+P5(x133,x132)
% 3.96/4.03 [14]~P4(x141,x143)+P5(x141,x142)+P4(x142,x143)
% 3.96/4.03 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 3.96/4.03 [16]~P4(x163,x161)+P2(x161,x162)+P4(x163,x162)
% 3.96/4.03 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 3.96/4.03 [24]~P3(x242,x243)+~P4(x241,x243)+P5(x241,f6(x242,x243))
% 3.96/4.03 [25]~P3(x252,x253)+~P4(x251,x252)+P5(x251,f6(x252,x253))
% 3.96/4.03 [26]P5(x261,x262)+~P5(x263,x262)+~P4(x261,f7(x263,x262))
% 3.96/4.03 [27]P5(x271,x272)+~P5(x272,x273)+~P4(x271,f7(x272,x273))
% 3.96/4.03 [18]P4(x183,x181)+~P2(x181,x182)+P3(x181,x182)+P4(x183,x182)
% 3.96/4.03 [20]~P3(x201,x203)+~P1(x201,x203)+P3(x201,x202)+P1(x203,x202)
% 3.96/4.03 [21]~P3(x213,x211)+~P1(x213,x211)+P3(x211,x212)+P1(x213,x212)
% 3.96/4.03 [22]~P3(x221,x223)+~P1(x221,x223)+P1(x221,x222)+P1(x223,x222)
% 3.96/4.03 [23]P1(x233,x234)+~P2(x233,x232)+P4(x231,x232)+P4(x231,x233)+P1(x232,x234)
% 3.96/4.03 [28]P4(x284,x283)+~P5(x284,x281)+~P2(x283,x282)+P4(x281,x282)+P4(x281,x283)+P4(x284,x282)
% 3.96/4.03 %EqnAxiom
% 3.96/4.03
% 3.96/4.04 %-------------------------------------------
% 3.96/4.04 cnf(33,plain,
% 3.96/4.04 (~P2(a3,a1)),
% 3.96/4.04 inference(scs_inference,[],[2,6,5,11,12,15])).
% 3.96/4.04 cnf(36,plain,
% 3.96/4.04 (~P3(a1,a2)),
% 3.96/4.04 inference(scs_inference,[],[1,2,3,6,5,11,12,15,20])).
% 3.96/4.04 cnf(38,plain,
% 3.96/4.04 (~P3(x381,x382)+~P4(f6(x381,x382),x382)),
% 3.96/4.04 inference(scs_inference,[],[1,2,3,6,4,5,11,12,15,20,24])).
% 3.96/4.04 cnf(39,plain,
% 3.96/4.04 (~P5(x391,x391)),
% 3.96/4.04 inference(rename_variables,[],[4])).
% 3.96/4.04 cnf(41,plain,
% 3.96/4.04 (~P3(x411,x412)+~P4(f6(x411,x412),x411)),
% 3.96/4.04 inference(scs_inference,[],[1,2,3,6,4,39,5,11,12,15,20,24,25])).
% 3.96/4.04 cnf(1063,plain,
% 3.96/4.04 (P2(a2,a3)),
% 3.96/4.04 inference(scs_inference,[],[3,11,12])).
% 3.96/4.04 cnf(1064,plain,
% 3.96/4.04 (P2(a3,a2)),
% 3.96/4.04 inference(scs_inference,[],[1063,5,15])).
% 3.96/4.04 cnf(1068,plain,
% 3.96/4.04 (P2(a2,a1)),
% 3.96/4.04 inference(scs_inference,[],[33,1064,15])).
% 3.96/4.04 cnf(1081,plain,
% 3.96/4.04 (P2(a1,a2)),
% 3.96/4.04 inference(scs_inference,[],[1068,5,15])).
% 3.96/4.04 cnf(1375,plain,
% 3.96/4.04 (~P4(f6(a2,a3),a3)),
% 3.96/4.04 inference(scs_inference,[],[3,11,38])).
% 3.96/4.04 cnf(1382,plain,
% 3.96/4.04 ($false),
% 3.96/4.04 inference(scs_inference,[],[36,2,3,1081,1375,16,18,41,11]),
% 3.96/4.04 ['proof']).
% 3.96/4.04 % SZS output end Proof
% 3.96/4.04 % Total time :3.360000s
%------------------------------------------------------------------------------