%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO222+1 : 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 : 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 06:04:42 EDT 2024
% Result : Theorem 43.40s 43.48s
% Output : CNFRefutation 43.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO222+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.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 07:00:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 43.40/43.47 %-------------------------------------------
% 43.40/43.47 % File :CSE---1.7
% 43.40/43.47 % Problem :theBenchmark
% 43.40/43.47 % Transform :cnf
% 43.40/43.47 % Format :tptp:raw
% 43.40/43.47 % Command :java -jar mcs_scs.jar %d %s
% 43.40/43.47
% 43.40/43.47 % Result :Theorem 42.870000s
% 43.40/43.47 % Output :CNFRefutation 42.870000s
% 43.40/43.47 %-------------------------------------------
% 43.40/43.48 %------------------------------------------------------------------------------
% 43.40/43.48 % File : GEO222+1 : TPTP v8.2.0. Released v3.3.0.
% 43.40/43.48 % Domain : Geometry (Constructive)
% 43.40/43.48 % Problem : Parallel to orthogonal to orthogonal
% 43.40/43.48 % Version : [vPl95] axioms : Especial.
% 43.40/43.48 % English : A line L is parallel to the line, that is orthogonal to the
% 43.40/43.48 % orthogonal to L through A, and goes through A as well.
% 43.40/43.48
% 43.40/43.48 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 43.40/43.48 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 43.40/43.48 % Source : [ILTP]
% 43.40/43.48 % Names : Theorem 8.9 [vPl95]
% 43.40/43.48
% 43.40/43.48 % Status : Theorem
% 43.40/43.48 % Rating : 0.06 v8.2.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.35 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 43.40/43.48 % Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% 43.40/43.48 % Number of atoms : 57 ( 0 equ)
% 43.40/43.48 % Maximal formula atoms : 6 ( 2 avg)
% 43.40/43.48 % Number of connectives : 46 ( 12 ~; 16 |; 4 &)
% 43.40/43.48 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 43.40/43.48 % Maximal formula depth : 9 ( 5 avg)
% 43.40/43.48 % Maximal term depth : 3 ( 1 avg)
% 43.40/43.48 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 43.40/43.48 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 43.40/43.48 % Number of variables : 55 ( 55 !; 0 ?)
% 43.40/43.48 % SPC : FOF_THM_RFO_NEQ
% 43.40/43.48
% 43.40/43.48 % Comments : Definitions unfolded, hence Especial.
% 43.40/43.48 %------------------------------------------------------------------------------
% 43.40/43.48 include('Axioms/GEO006+0.ax').
% 43.40/43.48 include('Axioms/GEO006+2.ax').
% 43.40/43.48 include('Axioms/GEO006+3.ax').
% 43.40/43.48 %------------------------------------------------------------------------------
% 43.40/43.48 fof(con,conjecture,
% 43.40/43.48 ! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 43.40/43.48
% 43.40/43.48 %------------------------------------------------------------------------------
% 43.40/43.48 %-------------------------------------------
% 43.40/43.48 % Proof found
% 43.40/43.48 % SZS status Theorem for theBenchmark
% 43.40/43.48 % SZS output start Proof
% 43.40/43.49 %ClaNum:26(EqnAxiom:0)
% 43.40/43.49 %VarNum:132(SingletonVarNum:59)
% 43.40/43.49 %MaxLitNum:6
% 43.40/43.49 %MaxfuncDepth:2
% 43.40/43.49 %SharedTerms:5
% 43.40/43.49 %goalClause: 1
% 43.40/43.49 %singleGoalClaCount:1
% 43.40/43.49 [1]P1(a1,f3(f3(a1,a2),a2))
% 43.40/43.49 [2]~P3(x21,x21)
% 43.40/43.49 [3]~P4(x31,x31)
% 43.40/43.49 [4]~P1(x41,x41)
% 43.40/43.49 [5]~P2(x51,f6(x52,x51))
% 43.40/43.49 [6]~P2(x61,f3(x62,x61))
% 43.40/43.49 [7]~P1(f6(x71,x72),x71)
% 43.40/43.49 [8]~P5(f3(x81,x82),x81)
% 43.40/43.49 [9]P5(x91,x92)+P1(x91,x92)
% 43.40/43.49 [22]~P3(x221,x222)+~P2(x222,f4(x221,x222))
% 43.40/43.49 [23]~P3(x231,x232)+~P2(x231,f4(x231,x232))
% 43.40/43.49 [24]~P1(x241,x242)+~P2(f5(x241,x242),x242)
% 43.40/43.49 [25]~P1(x251,x252)+~P2(f5(x251,x252),x251)
% 43.40/43.49 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 43.40/43.49 [11]~P2(x111,x113)+P3(x111,x112)+P2(x112,x113)
% 43.40/43.49 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 43.40/43.49 [13]~P1(x133,x131)+P4(x131,x132)+P1(x133,x132)
% 43.40/43.49 [14]~P2(x143,x141)+P4(x141,x142)+P2(x143,x142)
% 43.40/43.49 [15]~P1(x153,x151)+P1(x151,x152)+P1(x153,x152)
% 43.40/43.49 [16]P2(x163,x161)+~P4(x161,x162)+P1(x161,x162)+P2(x163,x162)
% 43.40/43.49 [18]~P1(x181,x183)+~P5(x181,x183)+P1(x181,x182)+P5(x183,x182)
% 43.40/43.49 [19]~P1(x193,x191)+~P5(x193,x191)+P1(x191,x192)+P5(x193,x192)
% 43.40/43.49 [20]~P1(x201,x203)+~P5(x201,x203)+P5(x201,x202)+P5(x203,x202)
% 43.40/43.49 [21]P5(x213,x214)+~P4(x213,x212)+P2(x211,x212)+P2(x211,x213)+P5(x212,x214)
% 43.40/43.49 [26]P2(x264,x263)+~P3(x264,x261)+~P4(x263,x262)+P2(x261,x262)+P2(x261,x263)+P2(x264,x262)
% 43.40/43.49 %EqnAxiom
% 43.40/43.49
% 43.40/43.49 %-------------------------------------------
% 43.49/43.51 cnf(30,plain,
% 43.49/43.51 (~P1(x301,x301)),
% 43.49/43.51 inference(rename_variables,[],[4])).
% 43.49/43.51 cnf(32,plain,
% 43.49/43.51 (P1(f3(f3(a1,a2),a2),a1)),
% 43.49/43.51 inference(scs_inference,[],[1,4,30,9,13,15])).
% 43.49/43.51 cnf(116,plain,
% 43.49/43.51 (~P2(f5(f3(x1161,x1162),x1161),x1161)),
% 43.49/43.51 inference(scs_inference,[],[8,24,9])).
% 43.49/43.51 cnf(132,plain,
% 43.49/43.51 (~P2(f5(f3(x1321,x1322),x1321),f3(x1321,x1322))),
% 43.49/43.51 inference(scs_inference,[],[8,25,9])).
% 43.49/43.51 cnf(439,plain,
% 43.49/43.51 (P4(x4391,f3(x4391,x4392))),
% 43.49/43.51 inference(scs_inference,[],[8,4,9,13])).
% 43.49/43.51 cnf(440,plain,
% 43.49/43.51 (P4(f3(x4401,x4402),x4401)),
% 43.49/43.51 inference(scs_inference,[],[439,3,12])).
% 43.49/43.51 cnf(458,plain,
% 43.49/43.51 (P1(x4581,f3(x4581,x4582))),
% 43.49/43.51 inference(scs_inference,[],[8,4,9,15])).
% 43.49/43.51 cnf(12017,plain,
% 43.49/43.51 (P5(a1,x120171)+P5(f3(f3(a1,a2),a2),x120171)),
% 43.49/43.51 inference(scs_inference,[],[440,116,132,32,8,21,20])).
% 43.49/43.51 cnf(18736,plain,
% 43.49/43.51 (P5(f3(a1,a2),a1)),
% 43.49/43.51 inference(scs_inference,[],[8,458,4,12017,18])).
% 43.49/43.51 cnf(18737,plain,
% 43.49/43.51 ($false),
% 43.49/43.51 inference(scs_inference,[],[18736,8]),
% 43.49/43.51 ['proof']).
% 43.49/43.52 % SZS output end Proof
% 43.49/43.52 % Total time :42.870000s
%------------------------------------------------------------------------------