TSTP Solution File: GEO192+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 22:43:30 EDT 2023
% Result : Theorem 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n028.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 : Tue Aug 29 21:52:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % File :CSE---1.6
% 0.52/0.65 % Problem :theBenchmark
% 0.52/0.65 % Transform :cnf
% 0.52/0.65 % Format :tptp:raw
% 0.52/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.65
% 0.52/0.65 % Result :Theorem 0.030000s
% 0.52/0.65 % Output :CNFRefutation 0.030000s
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 % File : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% 0.52/0.65 % Domain : Geometry (Constructive)
% 0.52/0.65 % Problem : Lemma on symmetry and apartness
% 0.52/0.65 % Version : [vPl95] axioms : Especial.
% 0.52/0.65 % 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 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.65 % Source : [ILTP]
% 0.52/0.65 % Names : Lemma 4.9 [vPl95]
% 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, 0.50 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 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 : 15 ( 3 unt; 0 def)
% 0.52/0.65 % Number of atoms : 39 ( 0 equ)
% 0.52/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.52/0.65 % Number of connectives : 31 ( 7 ~; 9 |; 2 &)
% 0.52/0.65 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.52/0.65 % Maximal formula depth : 9 ( 5 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 : 36 ( 36 !; 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/GEO006+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:74(SingletonVarNum:33)
% 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 [13]~P3(x131,x132)+~P2(x132,f5(x131,x132))
% 0.52/0.65 [14]~P3(x141,x142)+~P2(x141,f5(x141,x142))
% 0.52/0.65 [15]~P1(x151,x152)+~P2(f3(x151,x152),x152)
% 0.52/0.65 [16]~P1(x161,x162)+~P2(f3(x161,x162),x161)
% 0.52/0.65 [7]~P3(x73,x71)+P3(x71,x72)+P3(x73,x72)
% 0.52/0.65 [8]~P2(x81,x83)+P3(x81,x82)+P2(x82,x83)
% 0.52/0.65 [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 0.52/0.65 [10]~P1(x103,x101)+P4(x101,x102)+P1(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 [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 %-------------------------------------------
% 0.52/0.66 cnf(19,plain,
% 0.52/0.66 (~P1(x191,x191)),
% 0.52/0.66 inference(rename_variables,[],[5])).
% 0.52/0.66 cnf(26,plain,
% 0.52/0.66 (~P2(f3(a1,a2),a1)),
% 0.52/0.66 inference(scs_inference,[],[1,4,5,19,12,10,9,16])).
% 0.52/0.66 cnf(28,plain,
% 0.52/0.66 (~P2(f3(a1,a2),a2)),
% 0.52/0.66 inference(scs_inference,[],[1,4,5,19,12,10,9,16,15])).
% 0.52/0.66 cnf(30,plain,
% 0.52/0.66 (P4(a4,a1)),
% 0.52/0.66 inference(scs_inference,[],[2,26,11])).
% 0.52/0.66 cnf(41,plain,
% 0.52/0.66 (P4(a4,a2)),
% 0.52/0.66 inference(scs_inference,[],[28,2,11])).
% 0.52/0.66 cnf(52,plain,
% 0.52/0.66 (P4(a1,a4)),
% 0.52/0.66 inference(scs_inference,[],[30,4,9])).
% 0.52/0.66 cnf(55,plain,
% 0.52/0.66 (~P4(a2,a4)),
% 0.52/0.66 inference(scs_inference,[],[52,6])).
% 0.52/0.66 cnf(60,plain,
% 0.52/0.66 ($false),
% 0.52/0.66 inference(scs_inference,[],[41,55,4,1,10,9]),
% 0.52/0.66 ['proof']).
% 0.52/0.66 % SZS output end Proof
% 0.52/0.66 % Total time :0.030000s
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