%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO223+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 : n028.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 2.85s 2.93s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : GEO223+1 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Jun 21 09:33:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.60/0.65 start to proof:theBenchmark
% 2.85/2.92 %-------------------------------------------
% 2.85/2.92 % File :CSE---1.7
% 2.85/2.92 % Problem :theBenchmark
% 2.85/2.92 % Transform :cnf
% 2.85/2.93 % Format :tptp:raw
% 2.85/2.93 % Command :java -jar mcs_scs.jar %d %s
% 2.85/2.93
% 2.85/2.93 % Result :Theorem 2.190000s
% 2.85/2.93 % Output :CNFRefutation 2.190000s
% 2.85/2.93 %-------------------------------------------
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 % File : GEO223+1 : TPTP v8.2.0. Released v3.3.0.
% 2.85/2.93 % Domain : Geometry (Constructive)
% 2.85/2.93 % Problem : Corollary to uniqueness of parallels
% 2.85/2.93 % Version : [vPl95] axioms : Especial.
% 2.85/2.93 % English : The parallel to line L through a point A is equal to the line,
% 2.85/2.93 % that is orthogonal to the orthogonal to L through A, and goes
% 2.85/2.93 % through A as well.
% 2.85/2.93
% 2.85/2.93 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 2.85/2.93 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 2.85/2.93 % Source : [ILTP]
% 2.85/2.93 % Names : Corollary 8.10 [vPl95]
% 2.85/2.93
% 2.85/2.93 % Status : Theorem
% 2.85/2.93 % Rating : 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.17 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.30 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 2.85/2.93 % Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% 2.85/2.93 % Number of atoms : 57 ( 0 equ)
% 2.85/2.93 % Maximal formula atoms : 6 ( 2 avg)
% 2.85/2.93 % Number of connectives : 46 ( 12 ~; 16 |; 4 &)
% 2.85/2.93 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 2.85/2.93 % Maximal formula depth : 9 ( 5 avg)
% 2.85/2.93 % Maximal term depth : 3 ( 1 avg)
% 2.85/2.93 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 2.85/2.93 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 2.85/2.93 % Number of variables : 55 ( 55 !; 0 ?)
% 2.85/2.93 % SPC : FOF_THM_RFO_NEQ
% 2.85/2.93
% 2.85/2.93 % Comments : Definitions unfolded, hence Especial.
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 include('Axioms/GEO006+0.ax').
% 2.85/2.93 include('Axioms/GEO006+2.ax').
% 2.85/2.93 include('Axioms/GEO006+3.ax').
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 fof(con,conjecture,
% 2.85/2.93 ! [A,L] : ~ distinct_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 2.85/2.93
% 2.85/2.93 %------------------------------------------------------------------------------
% 2.85/2.93 %-------------------------------------------
% 2.85/2.93 % Proof found
% 2.85/2.93 % SZS status Theorem for theBenchmark
% 2.85/2.93 % SZS output start Proof
% 2.85/2.94 %ClaNum:26(EqnAxiom:0)
% 2.85/2.94 %VarNum:132(SingletonVarNum:59)
% 2.85/2.94 %MaxLitNum:6
% 2.85/2.94 %MaxfuncDepth:2
% 2.85/2.94 %SharedTerms:6
% 2.85/2.94 %goalClause: 1
% 2.85/2.94 %singleGoalClaCount:1
% 2.85/2.94 [1]P1(f3(a1,a2),f4(f4(a1,a2),a2))
% 2.85/2.94 [2]~P4(x21,x21)
% 2.85/2.94 [3]~P1(x31,x31)
% 2.85/2.94 [4]~P2(x41,x41)
% 2.85/2.94 [5]~P3(x51,f3(x52,x51))
% 2.85/2.94 [6]~P3(x61,f4(x62,x61))
% 2.85/2.94 [7]~P2(f3(x71,x72),x71)
% 2.85/2.94 [8]~P5(f4(x81,x82),x81)
% 2.85/2.94 [9]P5(x91,x92)+P2(x91,x92)
% 2.85/2.94 [22]~P4(x221,x222)+~P3(x222,f5(x221,x222))
% 2.85/2.94 [23]~P4(x231,x232)+~P3(x231,f5(x231,x232))
% 2.85/2.94 [24]~P2(x241,x242)+~P3(f6(x241,x242),x242)
% 2.85/2.94 [25]~P2(x251,x252)+~P3(f6(x251,x252),x251)
% 2.85/2.94 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 2.85/2.94 [11]~P3(x111,x113)+P4(x111,x112)+P3(x112,x113)
% 2.85/2.94 [12]~P1(x123,x121)+P1(x121,x122)+P1(x123,x122)
% 2.85/2.94 [13]~P2(x133,x131)+P1(x131,x132)+P2(x133,x132)
% 2.85/2.94 [14]~P3(x143,x141)+P1(x141,x142)+P3(x143,x142)
% 2.85/2.94 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 2.85/2.94 [16]P3(x163,x161)+~P1(x161,x162)+P2(x161,x162)+P3(x163,x162)
% 2.85/2.94 [18]~P2(x181,x183)+~P5(x181,x183)+P2(x181,x182)+P5(x183,x182)
% 2.85/2.94 [19]~P2(x193,x191)+~P5(x193,x191)+P2(x191,x192)+P5(x193,x192)
% 2.85/2.94 [20]~P2(x201,x203)+~P5(x201,x203)+P5(x201,x202)+P5(x203,x202)
% 2.85/2.94 [21]P5(x213,x214)+~P1(x213,x212)+P3(x211,x212)+P3(x211,x213)+P5(x212,x214)
% 2.85/2.94 [26]P3(x264,x263)+~P4(x264,x261)+~P1(x263,x262)+P3(x261,x262)+P3(x261,x263)+P3(x264,x262)
% 2.85/2.94 %EqnAxiom
% 2.85/2.94
% 2.85/2.94 %-------------------------------------------
% 2.85/2.94 cnf(33,plain,
% 2.85/2.94 (~P3(x331,f3(x332,x331))),
% 2.85/2.94 inference(rename_variables,[],[5])).
% 2.85/2.94 cnf(34,plain,
% 2.85/2.94 (~P5(f4(x341,x342),x341)),
% 2.85/2.94 inference(rename_variables,[],[8])).
% 2.85/2.94 cnf(38,plain,
% 2.85/2.94 (~P2(f3(x381,x382),x381)),
% 2.85/2.94 inference(rename_variables,[],[7])).
% 2.85/2.94 cnf(40,plain,
% 2.85/2.94 (~P2(f3(a1,a2),f4(a1,a2))),
% 2.85/2.94 inference(scs_inference,[],[1,3,5,33,6,4,7,38,8,34,9,12,21,16,18])).
% 2.85/2.94 cnf(49,plain,
% 2.85/2.94 (~P1(f3(a1,a2),f4(a1,a2))),
% 2.85/2.94 inference(scs_inference,[],[5,6,40,7,9,16])).
% 2.85/2.94 cnf(55,plain,
% 2.85/2.94 (~P2(f4(a1,a2),f3(a1,a2))),
% 2.85/2.94 inference(scs_inference,[],[49,4,13])).
% 2.85/2.94 cnf(1127,plain,
% 2.85/2.94 (P2(a1,f3(a1,a2))),
% 2.85/2.94 inference(scs_inference,[],[8,55,9,15])).
% 2.85/2.94 cnf(1128,plain,
% 2.85/2.94 ($false),
% 2.85/2.94 inference(scs_inference,[],[7,4,1127,15]),
% 2.85/2.94 ['proof']).
% 2.85/2.95 % SZS output end Proof
% 2.85/2.95 % Total time :2.190000s
%------------------------------------------------------------------------------