%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO196+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 : n024.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 06:04:25 EDT 2024
% Result : Theorem 14.66s 14.84s
% Output : CNFRefutation 14.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO196+1 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n024.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 06:30:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 14.66/14.83 %-------------------------------------------
% 14.66/14.83 % File :CSE---1.7
% 14.66/14.83 % Problem :theBenchmark
% 14.66/14.83 % Transform :cnf
% 14.66/14.83 % Format :tptp:raw
% 14.66/14.83 % Command :java -jar mcs_scs.jar %d %s
% 14.66/14.83
% 14.66/14.83 % Result :Theorem 14.150000s
% 14.66/14.83 % Output :CNFRefutation 14.150000s
% 14.66/14.83 %-------------------------------------------
% 14.66/14.84 %------------------------------------------------------------------------------
% 14.66/14.84 % File : GEO196+1 : TPTP v8.2.0. Released v3.3.0.
% 14.66/14.84 % Domain : Geometry (Constructive)
% 14.66/14.84 % Problem : Symmetry of incidence
% 14.66/14.84 % Version : [vPl95] axioms : Especial.
% 14.66/14.84 % English : If the lines X and Y are convergent, U and V are convergent,
% 14.66/14.84 % and the intersection point of X and Y is incident with U and V,
% 14.66/14.84 % then the intersection point of U and V is incident with X and Y.
% 14.66/14.84
% 14.66/14.84 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 14.66/14.84 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 14.66/14.84 % Source : [ILTP]
% 14.66/14.84 % Names : Theorem 4.11 [vPl95]
% 14.66/14.84
% 14.66/14.84 % Status : Theorem
% 14.66/14.84 % Rating : 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.35 v5.2.0, 0.29 v5.0.0, 0.25 v4.1.0, 0.28 v4.0.1, 0.32 v4.0.0, 0.35 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 14.66/14.84 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 14.66/14.84 % Number of atoms : 41 ( 0 equ)
% 14.66/14.84 % Maximal formula atoms : 6 ( 2 avg)
% 14.66/14.84 % Number of connectives : 37 ( 11 ~; 9 |; 5 &)
% 14.66/14.84 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 14.66/14.84 % Maximal formula depth : 10 ( 6 avg)
% 14.66/14.84 % Maximal term depth : 2 ( 1 avg)
% 14.66/14.84 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 14.66/14.84 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 14.66/14.84 % Number of variables : 37 ( 37 !; 0 ?)
% 14.66/14.84 % SPC : FOF_THM_RFO_NEQ
% 14.66/14.84
% 14.66/14.84 % Comments : Definitions unfolded, hence Especial.
% 14.66/14.84 %------------------------------------------------------------------------------
% 14.66/14.84 include('Axioms/GEO006+0.ax').
% 14.66/14.84 %------------------------------------------------------------------------------
% 14.66/14.84 fof(con,conjecture,
% 14.66/14.84 ! [X,Y,U,V] :
% 14.66/14.84 ( ( convergent_lines(X,Y)
% 14.66/14.84 & convergent_lines(U,V)
% 14.66/14.84 & ~ apart_point_and_line(intersection_point(X,Y),U)
% 14.66/14.84 & ~ apart_point_and_line(intersection_point(X,Y),V) )
% 14.66/14.84 => ( ~ apart_point_and_line(intersection_point(U,V),X)
% 14.66/14.84 & ~ apart_point_and_line(intersection_point(U,V),Y) ) ) ).
% 14.66/14.84
% 14.66/14.84 %------------------------------------------------------------------------------
% 14.66/14.84 %-------------------------------------------
% 14.66/14.84 % Proof found
% 14.66/14.84 % SZS status Theorem for theBenchmark
% 14.66/14.84 % SZS output start Proof
% 14.66/14.84 %ClaNum:19(EqnAxiom:0)
% 14.66/14.84 %VarNum:74(SingletonVarNum:33)
% 14.66/14.84 %MaxLitNum:6
% 14.66/14.84 %MaxfuncDepth:1
% 14.66/14.84 %SharedTerms:12
% 14.66/14.84 %goalClause: 1 2 6 7 14
% 14.66/14.84 %singleGoalClaCount:4
% 14.66/14.84 [1]P1(a1,a2)
% 14.66/14.84 [2]P1(a3,a4)
% 14.66/14.84 [6]~P2(f5(a1,a2),a3)
% 14.66/14.84 [7]~P2(f5(a1,a2),a4)
% 14.66/14.84 [3]~P3(x31,x31)
% 14.66/14.84 [4]~P4(x41,x41)
% 14.66/14.84 [5]~P1(x51,x51)
% 14.66/14.84 [14]P2(f5(a3,a4),a2)+P2(f5(a3,a4),a1)
% 14.66/14.84 [15]~P3(x151,x152)+~P2(x152,f6(x151,x152))
% 14.66/14.84 [16]~P3(x161,x162)+~P2(x161,f6(x161,x162))
% 14.66/14.84 [17]~P1(x171,x172)+~P2(f5(x171,x172),x172)
% 14.66/14.84 [18]~P1(x181,x182)+~P2(f5(x181,x182),x181)
% 14.66/14.84 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 14.66/14.84 [9]~P2(x91,x93)+P3(x91,x92)+P2(x92,x93)
% 14.66/14.84 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 14.66/14.84 [11]~P1(x113,x111)+P4(x111,x112)+P1(x113,x112)
% 14.66/14.84 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 14.66/14.84 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 14.66/14.84 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 14.66/14.84 %EqnAxiom
% 14.66/14.84
% 14.66/14.84 %-------------------------------------------
% 14.66/14.84 cnf(31,plain,
% 14.66/14.84 (~P1(x311,x311)),
% 14.66/14.85 inference(rename_variables,[],[5])).
% 14.66/14.85 cnf(33,plain,
% 14.66/14.85 (P4(a4,a3)),
% 14.66/14.85 inference(scs_inference,[],[2,5,31,13,11])).
% 14.66/14.85 cnf(37,plain,
% 14.66/14.85 (~P2(f5(a3,a4),a4)),
% 14.66/14.85 inference(scs_inference,[],[2,4,17,11])).
% 14.66/14.85 cnf(53,plain,
% 14.66/14.85 (~P2(f5(a1,a2),a2)),
% 14.66/14.85 inference(scs_inference,[],[1,4,17,12])).
% 14.66/14.85 cnf(54,plain,
% 14.66/14.85 (~P2(f5(a3,a4),a3)),
% 14.66/14.85 inference(scs_inference,[],[2,4,18,12])).
% 14.66/14.85 cnf(55,plain,
% 14.66/14.85 (~P2(f5(a1,a2),a1)),
% 14.66/14.85 inference(scs_inference,[],[1,4,18,11])).
% 14.66/14.85 cnf(82,plain,
% 14.66/14.85 (P3(f5(a3,a4),f5(a1,a2))+P2(f5(a3,a4),a2)),
% 14.66/14.85 inference(scs_inference,[],[55,14,9])).
% 14.66/14.85 cnf(464,plain,
% 14.66/14.85 (P3(f5(a3,a4),f5(a1,a2))),
% 14.66/14.85 inference(scs_inference,[],[53,82,9])).
% 14.66/14.85 cnf(467,plain,
% 14.66/14.85 (P3(f5(a1,a2),f5(a3,a4))),
% 14.66/14.85 inference(scs_inference,[],[464,3,8])).
% 14.66/14.85 cnf(723,plain,
% 14.66/14.85 ($false),
% 14.66/14.85 inference(scs_inference,[],[7,6,33,37,467,54,19]),
% 14.66/14.85 ['proof']).
% 14.66/14.85 % SZS output end Proof
% 14.66/14.85 % Total time :14.150000s
%------------------------------------------------------------------------------