%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO175+2 : 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 : n018.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 06:04:11 EDT 2024
% Result : Theorem 22.68s 22.77s
% Output : CNFRefutation 22.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO175+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n018.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 09:41:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 22.68/22.77 %-------------------------------------------
% 22.68/22.77 % File :CSE---1.7
% 22.68/22.77 % Problem :theBenchmark
% 22.68/22.77 % Transform :cnf
% 22.68/22.77 % Format :tptp:raw
% 22.68/22.77 % Command :java -jar mcs_scs.jar %d %s
% 22.68/22.77
% 22.68/22.77 % Result :Theorem 22.160000s
% 22.68/22.77 % Output :CNFRefutation 22.160000s
% 22.68/22.77 %-------------------------------------------
% 22.68/22.77 %------------------------------------------------------------------------------
% 22.68/22.77 % File : GEO175+2 : TPTP v8.2.0. Released v3.3.0.
% 22.68/22.77 % Domain : Geometry (Constructive)
% 22.68/22.77 % Problem : Lemma on symmetry and apartness
% 22.68/22.77 % Version : [vPl95] axioms : Reduced > Especial.
% 22.68/22.77 % English : If two lines are convergent and a point is distinct from the
% 22.68/22.77 % intersection point then this point is apart from at least one of
% 22.68/22.77 % these lines.
% 22.68/22.77
% 22.68/22.77 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 22.68/22.77 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 22.68/22.77 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 22.68/22.77 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 22.68/22.77 % Source : [ILTP]
% 22.68/22.77 % Names :
% 22.68/22.77
% 22.68/22.77 % Status : Theorem
% 22.68/22.77 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.50 v5.5.0, 0.12 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 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0
% 22.68/22.77 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 22.68/22.77 % Number of atoms : 39 ( 0 equ)
% 22.68/22.77 % Maximal formula atoms : 6 ( 3 avg)
% 22.68/22.77 % Number of connectives : 29 ( 3 ~; 10 |; 4 &)
% 22.68/22.77 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 22.68/22.77 % Maximal formula depth : 9 ( 6 avg)
% 22.68/22.77 % Maximal term depth : 2 ( 1 avg)
% 22.68/22.77 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 22.68/22.77 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 22.68/22.77 % Number of variables : 34 ( 34 !; 0 ?)
% 22.68/22.77 % SPC : FOF_THM_RFO_NEQ
% 22.68/22.77
% 22.68/22.77 % Comments : Definitions unfolded, hence Especial.
% 22.68/22.77 %------------------------------------------------------------------------------
% 22.68/22.77 include('Axioms/GEO008+0.ax').
% 22.68/22.77 %------------------------------------------------------------------------------
% 22.68/22.77 fof(con,conjecture,
% 22.68/22.77 ! [X,Y,U,V] :
% 22.68/22.77 ( ( distinct_points(X,Y)
% 22.68/22.77 & convergent_lines(U,V)
% 22.68/22.77 & distinct_points(X,intersection_point(U,V)) )
% 22.68/22.77 => ( apart_point_and_line(X,U)
% 22.68/22.77 | apart_point_and_line(X,V) ) ) ).
% 22.68/22.77
% 22.68/22.77 %------------------------------------------------------------------------------
% 22.68/22.77 %-------------------------------------------
% 22.68/22.77 % Proof found
% 22.68/22.77 % SZS status Theorem for theBenchmark
% 22.68/22.77 % SZS output start Proof
% 22.68/22.78 %ClaNum:19(EqnAxiom:0)
% 22.68/22.78 %VarNum:80(SingletonVarNum:36)
% 22.68/22.78 %MaxLitNum:6
% 22.68/22.78 %MaxfuncDepth:1
% 22.68/22.78 %SharedTerms:10
% 22.68/22.78 %goalClause: 1 2 3 4 5
% 22.68/22.78 %singleGoalClaCount:5
% 22.68/22.78 [1]P1(a1,a2)
% 22.68/22.78 [2]P2(a3,a4)
% 22.68/22.78 [4]~P3(a1,a3)
% 22.68/22.78 [5]~P3(a1,a4)
% 22.68/22.78 [3]P1(a1,f5(a3,a4))
% 22.68/22.78 [6]~P1(x61,x61)
% 22.68/22.78 [7]~P4(x71,x71)
% 22.68/22.78 [8]~P2(x81,x81)
% 22.68/22.78 [9]~P2(x91,x92)+P4(x91,x92)
% 22.68/22.78 [10]~P1(x103,x101)+P1(x101,x102)+P1(x103,x102)
% 22.68/22.78 [11]~P3(x111,x113)+P1(x111,x112)+P3(x112,x113)
% 22.68/22.78 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 22.68/22.78 [13]~P3(x133,x131)+P4(x131,x132)+P3(x133,x132)
% 22.68/22.78 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 22.68/22.78 [15]~P2(x152,x153)+~P3(x151,x153)+P1(x151,f5(x152,x153))
% 22.68/22.78 [16]~P2(x162,x163)+~P3(x161,x162)+P1(x161,f5(x162,x163))
% 22.68/22.78 [17]P1(x171,x172)+~P1(x173,x172)+~P3(x171,f6(x173,x172))
% 22.68/22.78 [18]P1(x181,x182)+~P1(x182,x183)+~P3(x181,f6(x182,x183))
% 22.68/22.78 [19]P3(x194,x193)+~P1(x194,x191)+~P4(x193,x192)+P3(x191,x192)+P3(x191,x193)+P3(x194,x192)
% 22.68/22.78 %EqnAxiom
% 22.68/22.78
% 22.68/22.78 %-------------------------------------------
% 22.68/22.78 cnf(21,plain,
% 22.68/22.78 (~P1(x211,x211)),
% 22.68/22.78 inference(rename_variables,[],[6])).
% 22.68/22.78 cnf(23,plain,
% 22.68/22.78 (P2(a4,a3)),
% 22.68/22.78 inference(scs_inference,[],[1,2,6,8,10,14])).
% 22.68/22.78 cnf(26,plain,
% 22.68/22.78 (~P3(f5(a3,a4),a4)),
% 22.68/22.78 inference(scs_inference,[],[1,2,6,21,8,10,14,15])).
% 22.68/22.78 cnf(27,plain,
% 22.68/22.78 (~P1(x271,x271)),
% 22.68/22.78 inference(rename_variables,[],[6])).
% 22.68/22.78 cnf(29,plain,
% 22.68/22.78 (~P3(f5(a3,a4),a3)),
% 22.68/22.78 inference(scs_inference,[],[1,2,6,21,27,8,10,14,15,16])).
% 22.68/22.78 cnf(32,plain,
% 22.68/22.78 (P4(a4,a3)),
% 22.68/22.78 inference(scs_inference,[],[2,7,9,12])).
% 22.68/22.78 cnf(36,plain,
% 22.68/22.78 (P1(f5(a3,a4),a1)),
% 22.68/22.78 inference(scs_inference,[],[3,32,6,7,12,10])).
% 22.68/22.78 cnf(40,plain,
% 22.68/22.78 (~P3(a1,f6(a1,f5(a3,a4)))),
% 22.68/22.78 inference(scs_inference,[],[7,6,3,13,18])).
% 22.68/22.78 cnf(41,plain,
% 22.68/22.78 (P1(x411,a1)+~P3(x411,f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[1,6,10,18])).
% 22.68/22.78 cnf(42,plain,
% 22.68/22.78 (~P3(a1,f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[6,41])).
% 22.68/22.78 cnf(45,plain,
% 22.68/22.78 (~P3(a1,f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[3,6,10,17])).
% 22.68/22.78 cnf(47,plain,
% 22.68/22.78 (~P3(f5(a3,a4),f6(a1,f5(a3,a4)))),
% 22.68/22.78 inference(scs_inference,[],[6,3,10,17])).
% 22.68/22.78 cnf(123,plain,
% 22.68/22.78 (P1(x1231,f5(a3,a4))+~P3(x1231,f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[6,3,10,18])).
% 22.68/22.78 cnf(124,plain,
% 22.68/22.78 (~P3(f5(a3,a4),f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[6,123,10])).
% 22.68/22.78 cnf(425,plain,
% 22.68/22.78 (~P4(a3,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[47,40,4,29,41,19])).
% 22.68/22.78 cnf(426,plain,
% 22.68/22.78 (~P2(a3,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[425,9])).
% 22.68/22.78 cnf(427,plain,
% 22.68/22.78 (P2(a4,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[23,426,14])).
% 22.68/22.78 cnf(428,plain,
% 22.68/22.78 (P4(a4,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[427,9])).
% 22.68/22.78 cnf(430,plain,
% 22.68/22.78 (~P4(a3,f6(f5(a3,a4),a1))+~P3(f5(a3,a4),f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[124,45,4,29,41,19])).
% 22.68/22.78 cnf(431,plain,
% 22.68/22.78 (~P4(a4,f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[124,5,45,36,26,19])).
% 22.68/22.78 cnf(433,plain,
% 22.68/22.78 (~P2(a4,f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[124,5,45,36,26,19,9])).
% 22.68/22.78 cnf(435,plain,
% 22.68/22.78 (~P4(a3,f6(a1,a2))+~P4(a3,f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[36,42,4,29,430,19])).
% 22.68/22.78 cnf(436,plain,
% 22.68/22.78 (P4(a3,f6(f5(a3,a4),a1))),
% 22.68/22.78 inference(scs_inference,[],[431,32,12])).
% 22.68/22.78 cnf(443,plain,
% 22.68/22.78 (~P2(a4,f6(a1,f5(a3,a4)))),
% 22.68/22.78 inference(scs_inference,[],[5,2,47,431,433,36,40,26,32,12,14,19,428,9])).
% 22.68/22.78 cnf(445,plain,
% 22.68/22.78 (~P4(a3,f6(a1,a2))),
% 22.68/22.78 inference(scs_inference,[],[436,435])).
% 22.68/22.78 cnf(454,plain,
% 22.68/22.78 ($false),
% 22.68/22.78 inference(scs_inference,[],[124,4,2,45,445,443,36,29,436,9,12,14,19]),
% 22.68/22.78 ['proof']).
% 22.68/22.78 % SZS output end Proof
% 22.68/22.78 % Total time :22.160000s
%------------------------------------------------------------------------------