%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO213+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 : n020.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 0.53s 0.65s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO213+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n020.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 07:34:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 % File :CSE---1.7
% 0.53/0.65 % Problem :theBenchmark
% 0.53/0.65 % Transform :cnf
% 0.53/0.65 % Format :tptp:raw
% 0.53/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.65
% 0.53/0.65 % Result :Theorem 0.050000s
% 0.53/0.65 % Output :CNFRefutation 0.050000s
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 % File : GEO213+1 : TPTP v8.2.0. Released v3.3.0.
% 0.53/0.65 % Domain : Geometry (Constructive)
% 0.53/0.65 % Problem : Corollary to non-orthogonal lines and a third line
% 0.53/0.65 % Version : [vPl95] axioms : Especial.
% 0.53/0.65 % English : If line L is not orthogonal to line M, then a third line N
% 0.53/0.65 % is distinct from L or not orthogonal to M.
% 0.53/0.65
% 0.53/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.53/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.65 % Source : [ILTP]
% 0.53/0.65 % Names : Corollary 8.4 [vPl95]
% 0.53/0.65
% 0.53/0.65 % Status : Theorem
% 0.53/0.65 % 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
% 0.53/0.65 % Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% 0.53/0.65 % Number of atoms : 59 ( 0 equ)
% 0.53/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.53/0.65 % Number of connectives : 47 ( 11 ~; 17 |; 4 &)
% 0.53/0.65 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.53/0.65 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.65 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.53/0.65 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.53/0.65 % Number of variables : 56 ( 56 !; 0 ?)
% 0.53/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.65
% 0.53/0.65 % Comments : Definitions unfolded, hence Especial.
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 include('Axioms/GEO006+0.ax').
% 0.53/0.65 include('Axioms/GEO006+2.ax').
% 0.53/0.65 include('Axioms/GEO006+3.ax').
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 fof(con,conjecture,
% 0.53/0.65 ! [L,M,N] :
% 0.53/0.65 ( unorthogonal_lines(L,M)
% 0.53/0.65 => ( distinct_lines(L,N)
% 0.53/0.65 | unorthogonal_lines(M,N) ) ) ).
% 0.53/0.65
% 0.53/0.65 %------------------------------------------------------------------------------
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 % Proof found
% 0.53/0.65 % SZS status Theorem for theBenchmark
% 0.53/0.65 % SZS output start Proof
% 0.53/0.65 %ClaNum:28(EqnAxiom:0)
% 0.53/0.65 %VarNum:132(SingletonVarNum:59)
% 0.53/0.65 %MaxLitNum:6
% 0.53/0.65 %MaxfuncDepth:1
% 0.53/0.65 %SharedTerms:6
% 0.53/0.65 %goalClause: 1 2 3
% 0.53/0.65 %singleGoalClaCount:3
% 0.53/0.65 [1]P1(a1,a2)
% 0.53/0.65 [2]~P2(a1,a3)
% 0.53/0.66 [3]~P1(a2,a3)
% 0.53/0.66 [4]~P5(x41,x41)
% 0.53/0.66 [5]~P2(x51,x51)
% 0.53/0.66 [6]~P3(x61,x61)
% 0.53/0.66 [7]~P4(x71,f4(x72,x71))
% 0.53/0.66 [8]~P4(x81,f5(x82,x81))
% 0.53/0.66 [9]~P3(f4(x91,x92),x91)
% 0.53/0.66 [10]~P1(f5(x101,x102),x101)
% 0.53/0.66 [11]P1(x111,x112)+P3(x111,x112)
% 0.53/0.66 [24]~P5(x241,x242)+~P4(x242,f6(x241,x242))
% 0.53/0.66 [25]~P5(x251,x252)+~P4(x251,f6(x251,x252))
% 0.53/0.66 [26]~P3(x261,x262)+~P4(f7(x261,x262),x262)
% 0.53/0.66 [27]~P3(x271,x272)+~P4(f7(x271,x272),x271)
% 0.53/0.66 [12]~P5(x123,x121)+P5(x121,x122)+P5(x123,x122)
% 0.53/0.66 [13]~P4(x131,x133)+P5(x131,x132)+P4(x132,x133)
% 0.53/0.66 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 0.53/0.66 [15]~P3(x153,x151)+P2(x151,x152)+P3(x153,x152)
% 0.53/0.66 [16]~P4(x163,x161)+P2(x161,x162)+P4(x163,x162)
% 0.53/0.66 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 0.53/0.66 [18]P4(x183,x181)+~P2(x181,x182)+P3(x181,x182)+P4(x183,x182)
% 0.53/0.66 [20]~P3(x201,x203)+~P1(x201,x203)+P3(x201,x202)+P1(x203,x202)
% 0.53/0.66 [21]~P3(x213,x211)+~P1(x213,x211)+P3(x211,x212)+P1(x213,x212)
% 0.53/0.66 [22]~P3(x221,x223)+~P1(x221,x223)+P1(x221,x222)+P1(x223,x222)
% 0.53/0.66 [23]P1(x233,x234)+~P2(x233,x232)+P4(x231,x232)+P4(x231,x233)+P1(x232,x234)
% 0.53/0.66 [28]P4(x284,x283)+~P5(x284,x281)+~P2(x283,x282)+P4(x281,x282)+P4(x281,x283)+P4(x284,x282)
% 0.53/0.66 %EqnAxiom
% 0.53/0.66
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 cnf(31,plain,
% 0.53/0.66 (~P2(a3,a1)),
% 0.53/0.66 inference(scs_inference,[],[2,5,6,11,14])).
% 0.53/0.66 cnf(34,plain,
% 0.53/0.66 (~P3(a3,a1)),
% 0.53/0.66 inference(scs_inference,[],[2,5,6,11,14,15])).
% 0.53/0.66 cnf(47,plain,
% 0.53/0.66 (~P3(f4(a1,x471),a3)),
% 0.53/0.66 inference(scs_inference,[],[34,9,11,17])).
% 0.53/0.66 cnf(48,plain,
% 0.53/0.66 (~P3(f4(x481,x482),x481)),
% 0.53/0.66 inference(rename_variables,[],[9])).
% 0.53/0.66 cnf(50,plain,
% 0.53/0.66 (~P3(f4(a3,x501),a1)),
% 0.53/0.66 inference(scs_inference,[],[2,34,9,48,11,17,15])).
% 0.53/0.66 cnf(65,plain,
% 0.53/0.66 (~P3(f4(a3,x651),f4(a1,x652))),
% 0.53/0.66 inference(scs_inference,[],[47,9,11,17])).
% 0.53/0.66 cnf(89,plain,
% 0.53/0.66 (~P3(a1,f4(a3,x891))),
% 0.53/0.66 inference(scs_inference,[],[50,6,11,17])).
% 0.53/0.66 cnf(112,plain,
% 0.53/0.66 (~P3(a1,a2)),
% 0.53/0.66 inference(scs_inference,[],[1,3,34,65,6,11,17,20])).
% 0.53/0.66 cnf(128,plain,
% 0.53/0.66 (~P3(f4(a2,x1281),a1)),
% 0.53/0.66 inference(scs_inference,[],[112,89,9,11,17])).
% 0.53/0.66 cnf(151,plain,
% 0.53/0.66 (~P3(a2,a3)),
% 0.53/0.66 inference(scs_inference,[],[112,31,128,6,11,17,15])).
% 0.53/0.66 cnf(184,plain,
% 0.53/0.66 ($false),
% 0.53/0.66 inference(scs_inference,[],[3,151,11]),
% 0.53/0.66 ['proof']).
% 0.53/0.66 % SZS output end Proof
% 0.53/0.66 % Total time :0.050000s
%------------------------------------------------------------------------------