%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO202+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 : n026.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 06:04:29 EDT 2024
% Result : Theorem 7.92s 8.01s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO202+1 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.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 07:01:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.53/0.56 start to proof:theBenchmark
% 7.92/8.01 %-------------------------------------------
% 7.92/8.01 % File :CSE---1.7
% 7.92/8.01 % Problem :theBenchmark
% 7.92/8.01 % Transform :cnf
% 7.92/8.01 % Format :tptp:raw
% 7.92/8.01 % Command :java -jar mcs_scs.jar %d %s
% 7.92/8.01
% 7.92/8.01 % Result :Theorem 7.390000s
% 7.92/8.01 % Output :CNFRefutation 7.390000s
% 7.92/8.01 %-------------------------------------------
% 7.92/8.01 %------------------------------------------------------------------------------
% 7.92/8.01 % File : GEO202+1 : TPTP v8.2.0. Released v3.3.0.
% 7.92/8.01 % Domain : Geometry (Constructive)
% 7.92/8.01 % Problem : Diverging lines have equal ends
% 7.92/8.01 % Version : [vPl95] axioms : Especial.
% 7.92/8.01 % English : If the point X is distinct to the points Y and Z, and the lines
% 7.92/8.01 % connecting X and Y, and connecting X and Z are convergent, then
% 7.92/8.01 % the intersection point of these lines is equal to X.
% 7.92/8.01
% 7.92/8.01 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 7.92/8.01 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 7.92/8.01 % Source : [ILTP]
% 7.92/8.01 % Names : Theorem 5.3 [vPl95]
% 7.92/8.01
% 7.92/8.01 % Status : Theorem
% 7.92/8.01 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 7.92/8.01 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 7.92/8.01 % Number of atoms : 39 ( 0 equ)
% 7.92/8.01 % Maximal formula atoms : 6 ( 2 avg)
% 7.92/8.01 % Number of connectives : 32 ( 8 ~; 9 |; 3 &)
% 7.92/8.01 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 7.92/8.01 % Maximal formula depth : 9 ( 5 avg)
% 7.92/8.01 % Maximal term depth : 3 ( 1 avg)
% 7.92/8.01 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 7.92/8.01 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 7.92/8.01 % Number of variables : 36 ( 36 !; 0 ?)
% 7.92/8.01 % SPC : FOF_THM_RFO_NEQ
% 7.92/8.01
% 7.92/8.01 % Comments : Definitions unfolded, hence Especial.
% 7.92/8.01 %------------------------------------------------------------------------------
% 7.92/8.01 include('Axioms/GEO006+0.ax').
% 7.92/8.01 %------------------------------------------------------------------------------
% 7.92/8.01 fof(con,conjecture,
% 7.92/8.01 ! [X,Y,Z] :
% 7.92/8.01 ( ( distinct_points(X,Y)
% 7.92/8.01 & distinct_points(X,Z)
% 7.92/8.01 & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
% 7.92/8.01 => ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) ).
% 7.92/8.01
% 7.92/8.01 %------------------------------------------------------------------------------
% 7.92/8.01 %-------------------------------------------
% 7.92/8.01 % Proof found
% 7.92/8.01 % SZS status Theorem for theBenchmark
% 7.92/8.02 % SZS output start Proof
% 7.92/8.02 %ClaNum:18(EqnAxiom:0)
% 7.92/8.02 %VarNum:74(SingletonVarNum:33)
% 7.92/8.02 %MaxLitNum:6
% 7.92/8.02 %MaxfuncDepth:2
% 7.92/8.02 %SharedTerms:10
% 7.92/8.02 %goalClause: 1 2 3 4
% 7.92/8.02 %singleGoalClaCount:4
% 7.92/8.02 [1]P1(a1,a2)
% 7.92/8.02 [2]P1(a1,a3)
% 7.92/8.02 [3]P2(f4(a1,a2),f4(a1,a3))
% 7.92/8.02 [4]P1(f5(f4(a1,a2),f4(a1,a3)),a1)
% 7.92/8.02 [5]~P1(x51,x51)
% 7.92/8.02 [6]~P4(x61,x61)
% 7.92/8.02 [7]~P2(x71,x71)
% 7.92/8.02 [14]~P1(x141,x142)+~P3(x142,f4(x141,x142))
% 7.92/8.02 [15]~P1(x151,x152)+~P3(x151,f4(x151,x152))
% 7.92/8.02 [16]~P2(x161,x162)+~P3(f5(x161,x162),x162)
% 7.92/8.02 [17]~P2(x171,x172)+~P3(f5(x171,x172),x171)
% 7.92/8.02 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 7.92/8.02 [9]~P3(x91,x93)+P1(x91,x92)+P3(x92,x93)
% 7.92/8.02 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 7.92/8.02 [11]~P2(x113,x111)+P4(x111,x112)+P2(x113,x112)
% 7.92/8.02 [12]~P3(x123,x121)+P4(x121,x122)+P3(x123,x122)
% 7.92/8.02 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 7.92/8.02 [18]P3(x184,x183)+~P1(x184,x181)+~P4(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 7.92/8.02 %EqnAxiom
% 7.92/8.02
% 7.92/8.02 %-------------------------------------------
% 7.92/8.02 cnf(31,plain,
% 7.92/8.02 (~P3(a1,f4(a3,a1))),
% 7.92/8.02 inference(scs_inference,[],[5,2,14,8])).
% 7.92/8.02 cnf(33,plain,
% 7.92/8.02 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a3))),
% 7.92/8.02 inference(scs_inference,[],[3,6,16,11])).
% 7.92/8.02 cnf(35,plain,
% 7.92/8.02 (~P3(a3,f4(a1,a3))),
% 7.92/8.02 inference(scs_inference,[],[5,2,9,14])).
% 7.92/8.02 cnf(36,plain,
% 7.92/8.02 (~P3(a1,f4(a1,a2))),
% 7.92/8.02 inference(scs_inference,[],[6,1,12,15])).
% 7.92/8.02 cnf(39,plain,
% 7.92/8.02 (~P3(a1,f4(a1,a3))),
% 7.92/8.02 inference(scs_inference,[],[2,5,15,9])).
% 7.92/8.02 cnf(42,plain,
% 7.92/8.02 (~P3(a3,f4(a3,a1))),
% 7.92/8.02 inference(scs_inference,[],[5,2,15,8])).
% 7.92/8.02 cnf(44,plain,
% 7.92/8.02 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a2))),
% 7.92/8.02 inference(scs_inference,[],[3,5,17,9])).
% 7.92/8.02 cnf(45,plain,
% 7.92/8.02 (~P3(a2,f4(a1,a2))),
% 7.92/8.02 inference(scs_inference,[],[1,5,8,14])).
% 7.92/8.02 cnf(166,plain,
% 7.92/8.02 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a3,a1))),
% 7.92/8.02 inference(scs_inference,[],[2,42,31,33,39,35,18,12])).
% 7.92/8.02 cnf(233,plain,
% 7.92/8.02 (~P2(f4(a1,a2),f4(a3,a1))),
% 7.92/8.02 inference(scs_inference,[],[31,4,45,166,44,36,7,18,12,11])).
% 7.92/8.02 cnf(243,plain,
% 7.92/8.02 ($false),
% 7.92/8.02 inference(scs_inference,[],[35,3,2,31,233,42,39,18,11]),
% 7.92/8.02 ['proof']).
% 7.92/8.02 % SZS output end Proof
% 7.92/8.02 % Total time :7.390000s
%------------------------------------------------------------------------------