%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO192+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 : n021.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 06:04:22 EDT 2024
% Result : Theorem 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO192+2 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.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 06:09:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % File :CSE---1.7
% 0.52/0.64 % Problem :theBenchmark
% 0.52/0.64 % Transform :cnf
% 0.52/0.64 % Format :tptp:raw
% 0.52/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.64
% 0.52/0.64 % Result :Theorem 0.040000s
% 0.52/0.64 % Output :CNFRefutation 0.040000s
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 %------------------------------------------------------------------------------
% 0.52/0.64 % File : GEO192+2 : TPTP v8.2.0. Released v3.3.0.
% 0.52/0.64 % Domain : Geometry (Constructive)
% 0.52/0.64 % Problem : Lemma on symmetry and apartness
% 0.52/0.64 % Version : [vPl95] axioms : Reduced > Especial.
% 0.52/0.64 % English : If the lines X and Y are convergent, and the intersection
% 0.52/0.65 % point of X and Y is apart from a line Z, then Z is distinct
% 0.52/0.65 % from X and Y.
% 0.52/0.65
% 0.52/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.52/0.65 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.52/0.65 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.52/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.65 % Source : [ILTP]
% 0.52/0.65 % Names :
% 0.52/0.65
% 0.52/0.65 % Status : Theorem
% 0.52/0.65 % 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, 0.11 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0
% 0.52/0.65 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.52/0.65 % Number of atoms : 38 ( 0 equ)
% 0.52/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.52/0.65 % Number of connectives : 28 ( 3 ~; 9 |; 3 &)
% 0.52/0.65 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.52/0.65 % Maximal formula depth : 9 ( 6 avg)
% 0.52/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.65 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.52/0.65 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.52/0.65 % Number of variables : 33 ( 33 !; 0 ?)
% 0.52/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.65
% 0.52/0.65 % Comments : Definitions unfolded, hence Especial.
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 include('Axioms/GEO008+0.ax').
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 fof(con,conjecture,
% 0.52/0.65 ! [X,Y,Z] :
% 0.52/0.65 ( convergent_lines(X,Y)
% 0.52/0.65 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 0.52/0.65 => ( distinct_lines(X,Z)
% 0.52/0.65 & distinct_lines(Y,Z) ) ) ) ).
% 0.52/0.65
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % Proof found
% 0.52/0.65 % SZS status Theorem for theBenchmark
% 0.52/0.65 % SZS output start Proof
% 0.52/0.65 %ClaNum:17(EqnAxiom:0)
% 0.52/0.65 %VarNum:80(SingletonVarNum:36)
% 0.52/0.65 %MaxLitNum:6
% 0.52/0.65 %MaxfuncDepth:1
% 0.52/0.65 %SharedTerms:8
% 0.52/0.65 %goalClause: 1 2 6
% 0.52/0.65 %singleGoalClaCount:2
% 0.52/0.65 [1]P1(a1,a2)
% 0.52/0.65 [2]P2(f3(a1,a2),a4)
% 0.52/0.65 [3]~P3(x31,x31)
% 0.52/0.65 [4]~P4(x41,x41)
% 0.52/0.65 [5]~P1(x51,x51)
% 0.52/0.65 [6]~P4(a1,a4)+~P4(a2,a4)
% 0.52/0.65 [7]~P1(x71,x72)+P4(x71,x72)
% 0.52/0.65 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 0.52/0.65 [9]~P2(x91,x93)+P3(x91,x92)+P2(x92,x93)
% 0.52/0.65 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.52/0.65 [11]~P2(x113,x111)+P4(x111,x112)+P2(x113,x112)
% 0.52/0.65 [12]~P1(x123,x121)+P1(x121,x122)+P1(x123,x122)
% 0.52/0.65 [13]~P1(x132,x133)+~P2(x131,x133)+P3(x131,f3(x132,x133))
% 0.52/0.65 [14]~P1(x142,x143)+~P2(x141,x142)+P3(x141,f3(x142,x143))
% 0.52/0.65 [15]P3(x151,x152)+~P3(x153,x152)+~P2(x151,f5(x153,x152))
% 0.52/0.65 [16]P3(x161,x162)+~P3(x162,x163)+~P2(x161,f5(x162,x163))
% 0.52/0.65 [17]P2(x174,x173)+~P3(x174,x171)+~P4(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.52/0.65 %EqnAxiom
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(22,plain,
% 0.52/0.65 (~P3(x221,x221)),
% 0.52/0.65 inference(rename_variables,[],[3])).
% 0.52/0.65 cnf(24,plain,
% 0.52/0.65 (~P2(f3(a1,a2),a1)),
% 0.52/0.65 inference(scs_inference,[],[1,3,22,5,12,13,14])).
% 0.52/0.65 cnf(29,plain,
% 0.52/0.65 (P4(a2,a4)),
% 0.52/0.65 inference(scs_inference,[],[1,2,3,22,4,5,12,13,14,11,10])).
% 0.52/0.65 cnf(32,plain,
% 0.52/0.65 (~P4(a1,a4)),
% 0.52/0.65 inference(scs_inference,[],[29,6])).
% 0.52/0.65 cnf(33,plain,
% 0.52/0.65 (P4(a4,a1)),
% 0.52/0.65 inference(scs_inference,[],[2,24,11])).
% 0.52/0.65 cnf(54,plain,
% 0.52/0.65 ($false),
% 0.52/0.65 inference(scs_inference,[],[33,32,4,10]),
% 0.52/0.65 ['proof']).
% 0.52/0.65 % SZS output end Proof
% 0.52/0.65 % Total time :0.040000s
%------------------------------------------------------------------------------