%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO174+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 : n019.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 06:04:10 EDT 2024
% Result : Theorem 0.55s 0.63s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO174+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.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 06:57:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.54/0.57 start to proof:theBenchmark
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 % File :CSE---1.7
% 0.55/0.62 % Problem :theBenchmark
% 0.55/0.62 % Transform :cnf
% 0.55/0.63 % Format :tptp:raw
% 0.55/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.63
% 0.55/0.63 % Result :Theorem 0.020000s
% 0.55/0.63 % Output :CNFRefutation 0.020000s
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 % File : GEO174+1 : TPTP v8.2.0. Released v3.3.0.
% 0.55/0.63 % Domain : Geometry (Constructive)
% 0.55/0.63 % Problem : Lemma on symmetry and apartness
% 0.55/0.63 % Version : [vPl95] axioms : Especial.
% 0.55/0.63 % English : If two points are distinct and a line U is apart from at least
% 0.55/0.63 % one of these points, then this line is distinct from the line
% 0.55/0.63 % connecting these points
% 0.55/0.63
% 0.55/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.55/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.63 % Source : [ILTP]
% 0.55/0.63 % Names : Lemma 4.1.i [vPl95]
% 0.55/0.63
% 0.55/0.63 % Status : Theorem
% 0.55/0.63 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 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
% 0.55/0.63 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.55/0.63 % Number of atoms : 40 ( 0 equ)
% 0.55/0.63 % Maximal formula atoms : 6 ( 2 avg)
% 0.55/0.63 % Number of connectives : 32 ( 7 ~; 10 |; 3 &)
% 0.55/0.63 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.55/0.63 % Maximal formula depth : 9 ( 6 avg)
% 0.55/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.63 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.55/0.63 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.55/0.63 % Number of variables : 37 ( 37 !; 0 ?)
% 0.55/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.55/0.63
% 0.55/0.63 % Comments : Definitions unfolded, hence Especial.
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 include('Axioms/GEO006+0.ax').
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 fof(con,conjecture,
% 0.55/0.63 ! [X,Y,U,V] :
% 0.55/0.63 ( ( distinct_points(X,Y)
% 0.55/0.63 & convergent_lines(U,V)
% 0.55/0.63 & ( apart_point_and_line(X,U)
% 0.55/0.63 | apart_point_and_line(Y,U) ) )
% 0.55/0.63 => distinct_lines(U,line_connecting(X,Y)) ) ).
% 0.55/0.63
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % Proof found
% 0.55/0.63 % SZS status Theorem for theBenchmark
% 0.55/0.63 % SZS output start Proof
% 0.55/0.63 %ClaNum:18(EqnAxiom:0)
% 0.55/0.63 %VarNum:74(SingletonVarNum:33)
% 0.55/0.63 %MaxLitNum:6
% 0.55/0.63 %MaxfuncDepth:1
% 0.55/0.63 %SharedTerms:10
% 0.55/0.63 %goalClause: 1 2 6 7
% 0.55/0.63 %singleGoalClaCount:3
% 0.55/0.63 [1]P1(a1,a2)
% 0.55/0.63 [2]P2(a3,a4)
% 0.55/0.63 [6]~P4(a3,f5(a1,a2))
% 0.55/0.63 [3]~P1(x31,x31)
% 0.55/0.63 [4]~P4(x41,x41)
% 0.55/0.63 [5]~P2(x51,x51)
% 0.55/0.63 [7]P3(a1,a3)+P3(a2,a3)
% 0.55/0.63 [14]~P1(x141,x142)+~P3(x142,f5(x141,x142))
% 0.55/0.63 [15]~P1(x151,x152)+~P3(x151,f5(x151,x152))
% 0.55/0.63 [16]~P2(x161,x162)+~P3(f6(x161,x162),x162)
% 0.55/0.63 [17]~P2(x171,x172)+~P3(f6(x171,x172),x171)
% 0.55/0.63 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 0.55/0.63 [9]~P3(x91,x93)+P1(x91,x92)+P3(x92,x93)
% 0.55/0.63 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.55/0.63 [11]~P2(x113,x111)+P4(x111,x112)+P2(x113,x112)
% 0.55/0.63 [12]~P3(x123,x121)+P4(x121,x122)+P3(x123,x122)
% 0.55/0.63 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 0.55/0.63 [18]P3(x184,x183)+~P1(x184,x181)+~P4(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 0.55/0.63 %EqnAxiom
% 0.55/0.63
% 0.55/0.63 %-------------------------------------------
% 0.55/0.64 cnf(19,plain,
% 0.55/0.64 (P1(a2,a1)),
% 0.55/0.64 inference(scs_inference,[],[1,3,8])).
% 0.55/0.64 cnf(33,plain,
% 0.55/0.64 (P3(a1,f5(a1,a2))+P3(a2,a3)),
% 0.55/0.64 inference(scs_inference,[],[6,7,12])).
% 0.55/0.64 cnf(38,plain,
% 0.55/0.64 (P3(a2,a3)),
% 0.55/0.64 inference(scs_inference,[],[1,33,15])).
% 0.55/0.64 cnf(44,plain,
% 0.55/0.64 (~P3(a2,f5(a1,a2))),
% 0.55/0.64 inference(scs_inference,[],[3,19,14,8])).
% 0.55/0.64 cnf(45,plain,
% 0.55/0.64 ($false),
% 0.55/0.64 inference(scs_inference,[],[38,6,44,12]),
% 0.55/0.64 ['proof']).
% 0.55/0.64 % SZS output end Proof
% 0.55/0.64 % Total time :0.020000s
%------------------------------------------------------------------------------