TSTP Solution File: GEO221+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 22:43:49 EDT 2023
% Result : Theorem 0.55s 0.63s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Aug 29 19:30:11 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.47/0.57 start to proof:theBenchmark
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % File :CSE---1.6
% 0.55/0.63 % Problem :theBenchmark
% 0.55/0.63 % Transform :cnf
% 0.55/0.63 % Format :tptp:raw
% 0.55/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.63
% 0.55/0.63 % Result :Theorem 0.000000s
% 0.55/0.63 % Output :CNFRefutation 0.000000s
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 % File : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.55/0.63 % Domain : Geometry (Constructive)
% 0.55/0.63 % Problem : Lemma on orthogonality
% 0.55/0.63 % Version : [vPl95] axioms : Especial.
% 0.55/0.63 % English : If a point B is incident with the orthogonal to a line L
% 0.55/0.63 % through point A, then this orthogonal is equal to the
% 0.55/0.63 % orthogonal to L through B.
% 0.55/0.63
% 0.55/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.55/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.63 % Source : [ILTP]
% 0.55/0.63 % Names : Lemma 8.8 [vPl95]
% 0.55/0.63
% 0.55/0.63 % Status : Theorem
% 0.55/0.63 % Rating : 0.07 v7.5.0, 0.10 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.17 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.16 v4.0.0, 0.20 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 0.55/0.63 % Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% 0.55/0.63 % Number of atoms : 58 ( 0 equ)
% 0.55/0.63 % Maximal formula atoms : 6 ( 2 avg)
% 0.55/0.63 % Number of connectives : 48 ( 13 ~; 16 |; 4 &)
% 0.55/0.63 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.55/0.63 % Maximal formula depth : 9 ( 5 avg)
% 0.55/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.63 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.55/0.63 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.55/0.63 % Number of variables : 56 ( 56 !; 0 ?)
% 0.55/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.55/0.63
% 0.55/0.63 % Comments : Definitions unfolded, hence Especial.
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 include('Axioms/GEO006+0.ax').
% 0.55/0.63 include('Axioms/GEO006+2.ax').
% 0.55/0.63 include('Axioms/GEO006+3.ax').
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 fof(con,conjecture,
% 0.55/0.63 ! [A,B,L] :
% 0.55/0.63 ( ~ apart_point_and_line(B,orthogonal_through_point(L,A))
% 0.55/0.63 => ~ distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ) ).
% 0.55/0.63
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % Proof found
% 0.55/0.63 % SZS status Theorem for theBenchmark
% 0.55/0.63 % SZS output start Proof
% 0.55/0.63 %ClaNum:27(EqnAxiom:0)
% 0.55/0.63 %VarNum:132(SingletonVarNum:59)
% 0.55/0.63 %MaxLitNum:6
% 0.55/0.63 %MaxfuncDepth:1
% 0.55/0.63 %SharedTerms:7
% 0.55/0.63 %goalClause: 1 5
% 0.55/0.63 %singleGoalClaCount:2
% 0.55/0.63 [1]P1(f4(a1,a2),f4(a1,a3))
% 0.55/0.63 [5]~P3(a3,f4(a1,a2))
% 0.55/0.63 [2]~P4(x21,x21)
% 0.55/0.63 [3]~P1(x31,x31)
% 0.55/0.63 [4]~P2(x41,x41)
% 0.55/0.63 [6]~P3(x61,f7(x62,x61))
% 0.55/0.63 [7]~P3(x71,f4(x72,x71))
% 0.55/0.63 [8]~P2(f7(x81,x82),x81)
% 0.55/0.63 [9]~P5(f4(x91,x92),x91)
% 0.55/0.63 [10]P5(x101,x102)+P2(x101,x102)
% 0.55/0.63 [23]~P4(x231,x232)+~P3(x232,f5(x231,x232))
% 0.55/0.63 [24]~P4(x241,x242)+~P3(x241,f5(x241,x242))
% 0.55/0.63 [25]~P2(x251,x252)+~P3(f6(x251,x252),x252)
% 0.55/0.63 [26]~P2(x261,x262)+~P3(f6(x261,x262),x261)
% 0.55/0.63 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.55/0.63 [12]~P3(x121,x123)+P4(x121,x122)+P3(x122,x123)
% 0.55/0.63 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 0.55/0.63 [14]~P2(x143,x141)+P1(x141,x142)+P2(x143,x142)
% 0.55/0.63 [15]~P3(x153,x151)+P1(x151,x152)+P3(x153,x152)
% 0.55/0.63 [16]~P2(x163,x161)+P2(x161,x162)+P2(x163,x162)
% 0.55/0.63 [17]P3(x173,x171)+~P1(x171,x172)+P2(x171,x172)+P3(x173,x172)
% 0.55/0.63 [19]~P2(x191,x193)+~P5(x191,x193)+P2(x191,x192)+P5(x193,x192)
% 0.55/0.63 [20]~P2(x203,x201)+~P5(x203,x201)+P2(x201,x202)+P5(x203,x202)
% 0.55/0.63 [21]~P2(x211,x213)+~P5(x211,x213)+P5(x211,x212)+P5(x213,x212)
% 0.55/0.63 [22]P5(x223,x224)+~P1(x223,x222)+P3(x221,x222)+P3(x221,x223)+P5(x222,x224)
% 0.55/0.63 [27]P3(x274,x273)+~P4(x274,x271)+~P1(x273,x272)+P3(x271,x272)+P3(x271,x273)+P3(x274,x272)
% 0.55/0.63 %EqnAxiom
% 0.55/0.63
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 cnf(33,plain,
% 0.55/0.63 (~P2(f7(x331,x332),x331)),
% 0.55/0.63 inference(rename_variables,[],[8])).
% 0.55/0.63 cnf(37,plain,
% 0.55/0.63 (~P5(f4(x371,x372),x371)),
% 0.55/0.63 inference(rename_variables,[],[9])).
% 0.55/0.63 cnf(42,plain,
% 0.55/0.63 (P5(f4(a1,a3),a1)),
% 0.55/0.63 inference(scs_inference,[],[1,3,4,5,6,7,8,33,9,37,10,13,17,19,16,22])).
% 0.55/0.63 cnf(44,plain,
% 0.55/0.63 ($false),
% 0.55/0.63 inference(scs_inference,[],[9,42]),
% 0.55/0.63 ['proof']).
% 0.55/0.63 % SZS output end Proof
% 0.55/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------