%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO186+2 : 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 : 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 06:04:18 EDT 2024
% Result : Theorem 25.84s 25.95s
% Output : CNFRefutation 25.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO186+2 : TPTP v8.2.0. Released v3.3.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 09:44:38 EDT 2024
% 0.17/0.32 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 25.84/25.94 %-------------------------------------------
% 25.84/25.94 % File :CSE---1.7
% 25.84/25.94 % Problem :theBenchmark
% 25.84/25.94 % Transform :cnf
% 25.84/25.94 % Format :tptp:raw
% 25.84/25.94 % Command :java -jar mcs_scs.jar %d %s
% 25.84/25.94
% 25.84/25.94 % Result :Theorem 25.340000s
% 25.84/25.94 % Output :CNFRefutation 25.340000s
% 25.84/25.94 %-------------------------------------------
% 25.84/25.95 %------------------------------------------------------------------------------
% 25.84/25.95 % File : GEO186+2 : TPTP v8.2.0. Released v3.3.0.
% 25.84/25.95 % Domain : Geometry (Constructive)
% 25.84/25.95 % Problem : Lemma on symmetry and apartness
% 25.84/25.95 % Version : [vPl95] axioms : Reduced > Especial.
% 25.84/25.95 % English : If the lines U and V are convergent, then the point that is
% 25.84/25.95 % incident with both lines is equal to the intersection point
% 25.84/25.95 % of both lines.
% 25.84/25.95
% 25.84/25.95 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 25.84/25.95 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 25.84/25.95 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 25.84/25.95 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 25.84/25.95 % Source : [ILTP]
% 25.84/25.95 % Names :
% 25.84/25.95
% 25.84/25.95 % Status : Theorem
% 25.84/25.95 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 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
% 25.84/25.95 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 25.84/25.95 % Number of atoms : 39 ( 0 equ)
% 25.84/25.95 % Maximal formula atoms : 6 ( 3 avg)
% 25.84/25.95 % Number of connectives : 32 ( 6 ~; 9 |; 5 &)
% 25.84/25.95 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 25.84/25.95 % Maximal formula depth : 10 ( 6 avg)
% 25.84/25.95 % Maximal term depth : 2 ( 1 avg)
% 25.84/25.95 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 25.84/25.95 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 25.84/25.95 % Number of variables : 34 ( 34 !; 0 ?)
% 25.84/25.95 % SPC : FOF_THM_RFO_NEQ
% 25.84/25.95
% 25.84/25.95 % Comments : Definitions unfolded, hence Especial.
% 25.84/25.95 %------------------------------------------------------------------------------
% 25.84/25.95 include('Axioms/GEO008+0.ax').
% 25.84/25.95 %------------------------------------------------------------------------------
% 25.84/25.95 fof(con,conjecture,
% 25.84/25.95 ! [X,Y,U,V] :
% 25.84/25.95 ( ( distinct_points(X,Y)
% 25.84/25.95 & convergent_lines(U,V)
% 25.84/25.95 & ~ apart_point_and_line(X,U)
% 25.84/25.95 & ~ apart_point_and_line(X,V) )
% 25.84/25.95 => ~ distinct_points(X,intersection_point(U,V)) ) ).
% 25.84/25.95
% 25.84/25.95 %------------------------------------------------------------------------------
% 25.84/25.95 %-------------------------------------------
% 25.84/25.95 % Proof found
% 25.84/25.95 % SZS status Theorem for theBenchmark
% 25.84/25.95 % SZS output start Proof
% 25.84/25.95 %ClaNum:19(EqnAxiom:0)
% 25.84/25.95 %VarNum:80(SingletonVarNum:36)
% 25.84/25.95 %MaxLitNum:6
% 25.84/25.95 %MaxfuncDepth:1
% 25.84/25.95 %SharedTerms:10
% 25.84/25.95 %goalClause: 1 2 3 4 5
% 25.84/25.95 %singleGoalClaCount:5
% 25.84/25.95 [1]P1(a1,a2)
% 25.84/25.95 [2]P2(a3,a4)
% 25.84/25.95 [4]~P3(a1,a3)
% 25.84/25.95 [5]~P3(a1,a4)
% 25.84/25.95 [3]P1(a1,f5(a3,a4))
% 25.84/25.95 [6]~P1(x61,x61)
% 25.84/25.95 [7]~P4(x71,x71)
% 25.84/25.95 [8]~P2(x81,x81)
% 25.84/25.95 [9]~P2(x91,x92)+P4(x91,x92)
% 25.84/25.95 [10]~P1(x103,x101)+P1(x101,x102)+P1(x103,x102)
% 25.84/25.95 [11]~P3(x111,x113)+P1(x111,x112)+P3(x112,x113)
% 25.84/25.95 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 25.84/25.95 [13]~P3(x133,x131)+P4(x131,x132)+P3(x133,x132)
% 25.84/25.95 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 25.84/25.95 [15]~P2(x152,x153)+~P3(x151,x153)+P1(x151,f5(x152,x153))
% 25.84/25.95 [16]~P2(x162,x163)+~P3(x161,x162)+P1(x161,f5(x162,x163))
% 25.84/25.95 [17]P1(x171,x172)+~P1(x173,x172)+~P3(x171,f6(x173,x172))
% 25.84/25.95 [18]P1(x181,x182)+~P1(x182,x183)+~P3(x181,f6(x182,x183))
% 25.84/25.95 [19]P3(x194,x193)+~P1(x194,x191)+~P4(x193,x192)+P3(x191,x192)+P3(x191,x193)+P3(x194,x192)
% 25.84/25.95 %EqnAxiom
% 25.84/25.95
% 25.84/25.95 %-------------------------------------------
% 25.84/25.96 cnf(21,plain,
% 25.84/25.96 (~P1(x211,x211)),
% 25.84/25.96 inference(rename_variables,[],[6])).
% 25.84/25.96 cnf(23,plain,
% 25.84/25.96 (P2(a4,a3)),
% 25.84/25.96 inference(scs_inference,[],[1,2,6,8,10,14])).
% 25.84/25.96 cnf(26,plain,
% 25.84/25.96 (~P3(f5(a3,a4),a4)),
% 25.84/25.96 inference(scs_inference,[],[1,2,6,21,8,10,14,15])).
% 25.84/25.96 cnf(27,plain,
% 25.84/25.96 (~P1(x271,x271)),
% 25.84/25.96 inference(rename_variables,[],[6])).
% 25.84/25.96 cnf(29,plain,
% 25.84/25.96 (~P3(f5(a3,a4),a3)),
% 25.84/25.96 inference(scs_inference,[],[1,2,6,21,27,8,10,14,15,16])).
% 25.84/25.96 cnf(32,plain,
% 25.84/25.96 (P4(a4,a3)),
% 25.84/25.96 inference(scs_inference,[],[2,7,9,12])).
% 25.84/25.96 cnf(36,plain,
% 25.84/25.96 (P1(f5(a3,a4),a1)),
% 25.84/25.96 inference(scs_inference,[],[3,32,6,7,12,10])).
% 25.84/25.96 cnf(40,plain,
% 25.84/25.96 (~P3(a1,f6(a1,f5(a3,a4)))),
% 25.84/25.96 inference(scs_inference,[],[7,6,3,13,18])).
% 25.84/25.96 cnf(41,plain,
% 25.84/25.96 (P1(x411,a1)+~P3(x411,f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[1,6,10,18])).
% 25.84/25.96 cnf(42,plain,
% 25.84/25.96 (~P3(a1,f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[6,41])).
% 25.84/25.96 cnf(45,plain,
% 25.84/25.96 (~P3(a1,f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[3,6,10,17])).
% 25.84/25.96 cnf(47,plain,
% 25.84/25.96 (~P3(f5(a3,a4),f6(a1,f5(a3,a4)))),
% 25.84/25.96 inference(scs_inference,[],[6,3,10,17])).
% 25.84/25.96 cnf(123,plain,
% 25.84/25.96 (P1(x1231,f5(a3,a4))+~P3(x1231,f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[6,3,10,18])).
% 25.84/25.96 cnf(124,plain,
% 25.84/25.96 (~P3(f5(a3,a4),f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[6,123,10])).
% 25.84/25.96 cnf(425,plain,
% 25.84/25.96 (~P4(a3,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[47,40,4,29,41,19])).
% 25.84/25.96 cnf(426,plain,
% 25.84/25.96 (~P2(a3,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[425,9])).
% 25.84/25.96 cnf(427,plain,
% 25.84/25.96 (P2(a4,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[23,426,14])).
% 25.84/25.96 cnf(428,plain,
% 25.84/25.96 (P4(a4,f6(a1,f5(a3,a4)))+~P3(f5(a3,a4),f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[427,9])).
% 25.84/25.96 cnf(430,plain,
% 25.84/25.96 (~P4(a3,f6(f5(a3,a4),a1))+~P3(f5(a3,a4),f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[124,45,4,29,41,19])).
% 25.84/25.96 cnf(431,plain,
% 25.84/25.96 (~P4(a4,f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[124,5,45,36,26,19])).
% 25.84/25.96 cnf(433,plain,
% 25.84/25.96 (~P2(a4,f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[124,5,45,36,26,19,9])).
% 25.84/25.96 cnf(435,plain,
% 25.84/25.96 (~P4(a3,f6(a1,a2))+~P4(a3,f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[36,42,4,29,430,19])).
% 25.84/25.96 cnf(438,plain,
% 25.84/25.96 (P4(a3,f6(f5(a3,a4),a1))),
% 25.84/25.96 inference(scs_inference,[],[2,431,433,32,14,12])).
% 25.84/25.96 cnf(443,plain,
% 25.84/25.96 (~P2(a4,f6(a1,f5(a3,a4)))),
% 25.84/25.96 inference(scs_inference,[],[5,2,47,431,433,36,40,26,32,14,12,19,428,9])).
% 25.84/25.96 cnf(445,plain,
% 25.84/25.96 (~P4(a3,f6(a1,a2))),
% 25.84/25.96 inference(scs_inference,[],[438,435])).
% 25.84/25.96 cnf(454,plain,
% 25.84/25.96 ($false),
% 25.84/25.96 inference(scs_inference,[],[124,4,2,45,445,443,36,29,438,9,14,12,19]),
% 25.84/25.96 ['proof']).
% 25.84/25.96 % SZS output end Proof
% 25.84/25.96 % Total time :25.340000s
%------------------------------------------------------------------------------