%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO212+1 : 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 : n027.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 06:04:35 EDT 2024
% Result : Theorem 5.52s 5.65s
% Output : CNFRefutation 5.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO212+1 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.32 % CPULimit : 300
% 0.18/0.32 % WCLimit : 300
% 0.18/0.32 % DateTime : Fri Jun 21 07:32:39 EDT 2024
% 0.18/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 5.52/5.64 %-------------------------------------------
% 5.52/5.64 % File :CSE---1.7
% 5.52/5.64 % Problem :theBenchmark
% 5.52/5.64 % Transform :cnf
% 5.52/5.64 % Format :tptp:raw
% 5.52/5.64 % Command :java -jar mcs_scs.jar %d %s
% 5.52/5.64
% 5.52/5.64 % Result :Theorem 5.040000s
% 5.52/5.64 % Output :CNFRefutation 5.040000s
% 5.52/5.64 %-------------------------------------------
% 5.52/5.65 %------------------------------------------------------------------------------
% 5.52/5.65 % File : GEO212+1 : TPTP v8.2.0. Released v3.3.0.
% 5.52/5.65 % Domain : Geometry (Constructive)
% 5.52/5.65 % Problem : Non-orthogonal lines and a third line
% 5.52/5.65 % Version : [vPl95] axioms : Especial.
% 5.52/5.65 % English : If a line L is not orthogonal to M, then a third line N is
% 5.52/5.65 % convergent to L or not orthogonal to M.
% 5.52/5.65
% 5.52/5.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 5.52/5.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 5.52/5.65 % Source : [ILTP]
% 5.52/5.65 % Names : Theorem 8.3 [vPl95]
% 5.52/5.65
% 5.52/5.65 % Status : Theorem
% 5.52/5.65 % 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
% 5.52/5.65 % Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% 5.52/5.65 % Number of atoms : 59 ( 0 equ)
% 5.52/5.65 % Maximal formula atoms : 6 ( 2 avg)
% 5.52/5.65 % Number of connectives : 47 ( 11 ~; 17 |; 4 &)
% 5.52/5.65 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 5.52/5.65 % Maximal formula depth : 9 ( 5 avg)
% 5.52/5.65 % Maximal term depth : 2 ( 1 avg)
% 5.52/5.65 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 5.52/5.65 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 5.52/5.65 % Number of variables : 56 ( 56 !; 0 ?)
% 5.52/5.65 % SPC : FOF_THM_RFO_NEQ
% 5.52/5.65
% 5.52/5.65 % Comments : Definitions unfolded, hence Especial.
% 5.52/5.65 %------------------------------------------------------------------------------
% 5.52/5.65 include('Axioms/GEO006+0.ax').
% 5.52/5.65 include('Axioms/GEO006+2.ax').
% 5.52/5.65 include('Axioms/GEO006+3.ax').
% 5.52/5.65 %------------------------------------------------------------------------------
% 5.52/5.65 fof(con,conjecture,
% 5.52/5.65 ! [L,M,N] :
% 5.52/5.65 ( unorthogonal_lines(L,M)
% 5.52/5.65 => ( convergent_lines(L,N)
% 5.52/5.65 | unorthogonal_lines(M,N) ) ) ).
% 5.52/5.65
% 5.52/5.65 %------------------------------------------------------------------------------
% 5.52/5.65 %-------------------------------------------
% 5.52/5.65 % Proof found
% 5.52/5.65 % SZS status Theorem for theBenchmark
% 5.52/5.65 % SZS output start Proof
% 5.52/5.65 %ClaNum:28(EqnAxiom:0)
% 5.52/5.65 %VarNum:132(SingletonVarNum:59)
% 5.52/5.65 %MaxLitNum:6
% 5.52/5.65 %MaxfuncDepth:1
% 5.52/5.65 %SharedTerms:6
% 5.52/5.65 %goalClause: 1 2 3
% 5.52/5.65 %singleGoalClaCount:3
% 5.52/5.65 [1]P1(a1,a2)
% 5.52/5.65 [2]~P2(a1,a3)
% 5.52/5.65 [3]~P1(a2,a3)
% 5.52/5.65 [4]~P4(x41,x41)
% 5.52/5.65 [5]~P5(x51,x51)
% 5.52/5.65 [6]~P2(x61,x61)
% 5.52/5.65 [7]~P3(x71,f4(x72,x71))
% 5.52/5.65 [8]~P3(x81,f5(x82,x81))
% 5.52/5.65 [9]~P2(f4(x91,x92),x91)
% 5.52/5.65 [10]~P1(f5(x101,x102),x101)
% 5.52/5.65 [11]P1(x111,x112)+P2(x111,x112)
% 5.52/5.65 [24]~P4(x241,x242)+~P3(x242,f6(x241,x242))
% 5.52/5.65 [25]~P4(x251,x252)+~P3(x251,f6(x251,x252))
% 5.52/5.65 [26]~P2(x261,x262)+~P3(f7(x261,x262),x262)
% 5.52/5.65 [27]~P2(x271,x272)+~P3(f7(x271,x272),x271)
% 5.52/5.65 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 5.52/5.65 [13]~P3(x131,x133)+P4(x131,x132)+P3(x132,x133)
% 5.52/5.65 [14]~P5(x143,x141)+P5(x141,x142)+P5(x143,x142)
% 5.52/5.65 [15]~P2(x153,x151)+P5(x151,x152)+P2(x153,x152)
% 5.52/5.65 [16]~P3(x163,x161)+P5(x161,x162)+P3(x163,x162)
% 5.52/5.65 [17]~P2(x173,x171)+P2(x171,x172)+P2(x173,x172)
% 5.52/5.65 [18]P3(x183,x181)+~P5(x181,x182)+P2(x181,x182)+P3(x183,x182)
% 5.52/5.65 [20]~P2(x201,x203)+~P1(x201,x203)+P2(x201,x202)+P1(x203,x202)
% 5.52/5.65 [21]~P2(x213,x211)+~P1(x213,x211)+P2(x211,x212)+P1(x213,x212)
% 5.52/5.65 [22]~P2(x221,x223)+~P1(x221,x223)+P1(x221,x222)+P1(x223,x222)
% 5.52/5.65 [23]P1(x233,x234)+~P5(x233,x232)+P3(x231,x232)+P3(x231,x233)+P1(x232,x234)
% 5.52/5.65 [28]P3(x284,x283)+~P4(x284,x281)+~P5(x283,x282)+P3(x281,x282)+P3(x281,x283)+P3(x284,x282)
% 5.52/5.65 %EqnAxiom
% 5.52/5.65
% 5.52/5.65 %-------------------------------------------
% 5.52/5.66 cnf(31,plain,
% 5.52/5.66 (~P2(a3,a1)),
% 5.52/5.66 inference(scs_inference,[],[2,6,11,17])).
% 5.52/5.66 cnf(34,plain,
% 5.52/5.66 (~P2(a1,a2)),
% 5.52/5.66 inference(scs_inference,[],[1,2,3,6,11,17,20])).
% 5.52/5.66 cnf(45,plain,
% 5.52/5.66 (~P2(f4(a3,x451),a1)),
% 5.52/5.66 inference(scs_inference,[],[2,31,9,11,17])).
% 5.52/5.66 cnf(46,plain,
% 5.52/5.66 (~P2(f4(x461,x462),x461)),
% 5.52/5.66 inference(rename_variables,[],[9])).
% 5.52/5.66 cnf(48,plain,
% 5.52/5.66 (~P5(f4(f5(x481,x482),x482),f5(x481,x482))),
% 5.52/5.66 inference(scs_inference,[],[2,31,8,7,9,46,11,17,18])).
% 5.52/5.66 cnf(77,plain,
% 5.52/5.66 (~P2(x771,a3)+~P5(f4(a3,f7(x771,a1)),a1)),
% 5.52/5.66 inference(scs_inference,[],[31,6,48,45,5,8,7,11,14,15,18,26,16,17])).
% 5.52/5.66 cnf(262,plain,
% 5.52/5.66 (~P3(f7(a2,a3),a2)),
% 5.52/5.66 inference(scs_inference,[],[3,27,11])).
% 5.52/5.66 cnf(263,plain,
% 5.52/5.66 (~P5(f5(a3,f7(a2,a3)),a2)),
% 5.52/5.66 inference(scs_inference,[],[3,8,262,10,23])).
% 5.52/5.66 cnf(291,plain,
% 5.52/5.66 (~P2(a2,a1)),
% 5.52/5.66 inference(scs_inference,[],[34,6,17])).
% 5.52/5.66 cnf(635,plain,
% 5.52/5.66 (~P5(f4(a3,f7(a2,a1)),a1)),
% 5.52/5.66 inference(scs_inference,[],[3,77,11])).
% 5.52/5.66 cnf(645,plain,
% 5.52/5.66 (~P2(a2,f4(a3,f7(a2,a1)))),
% 5.52/5.66 inference(scs_inference,[],[291,635,15])).
% 5.52/5.66 cnf(1858,plain,
% 5.52/5.66 (~P2(x18581,f4(x18581,x18582))),
% 5.52/5.66 inference(scs_inference,[],[9,6,17])).
% 5.52/5.66 cnf(2141,plain,
% 5.52/5.66 (~P2(a3,f5(a3,f7(a2,a3)))),
% 5.52/5.66 inference(scs_inference,[],[645,1858,263,17,11,15])).
% 5.52/5.66 cnf(2143,plain,
% 5.52/5.66 (P3(f7(a2,a3),a3)+~P5(a3,a2)),
% 5.52/5.66 inference(scs_inference,[],[645,1858,263,262,17,11,15,18])).
% 5.52/5.66 cnf(2189,plain,
% 5.52/5.66 (~P2(a2,a3)+~P5(a3,a2)),
% 5.52/5.66 inference(scs_inference,[],[2143,26])).
% 5.52/5.66 cnf(2235,plain,
% 5.52/5.66 (~P5(a3,a2)),
% 5.52/5.66 inference(scs_inference,[],[3,2189,11])).
% 5.52/5.66 cnf(2247,plain,
% 5.52/5.66 ($false),
% 5.52/5.66 inference(scs_inference,[],[3,6,2141,2235,8,5,262,15,14,16,18,11]),
% 5.52/5.66 ['proof']).
% 5.52/5.66 % SZS output end Proof
% 5.52/5.66 % Total time :5.040000s
%------------------------------------------------------------------------------