%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO192+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 : n032.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 0.53s 0.60s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO192+1 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Fri Jun 21 08:26:08 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.52 start to proof:theBenchmark
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 % File :CSE---1.7
% 0.53/0.60 % Problem :theBenchmark
% 0.53/0.60 % Transform :cnf
% 0.53/0.60 % Format :tptp:raw
% 0.53/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.60
% 0.53/0.60 % Result :Theorem 0.040000s
% 0.53/0.60 % Output :CNFRefutation 0.040000s
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 %------------------------------------------------------------------------------
% 0.53/0.60 % File : GEO192+1 : TPTP v8.2.0. Released v3.3.0.
% 0.53/0.60 % Domain : Geometry (Constructive)
% 0.53/0.60 % Problem : Lemma on symmetry and apartness
% 0.53/0.60 % Version : [vPl95] axioms : Especial.
% 0.53/0.60 % English : If the lines X and Y are convergent, and the intersection
% 0.53/0.60 % point of X and Y is apart from a line Z, then Z is distinct
% 0.53/0.60 % from X and Y.
% 0.53/0.60
% 0.53/0.60 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.53/0.60 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.60 % Source : [ILTP]
% 0.53/0.60 % Names : Lemma 4.9 [vPl95]
% 0.53/0.60
% 0.53/0.60 % Status : Theorem
% 0.53/0.60 % 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
% 0.53/0.60 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.53/0.60 % Number of atoms : 39 ( 0 equ)
% 0.53/0.60 % Maximal formula atoms : 6 ( 2 avg)
% 0.53/0.60 % Number of connectives : 31 ( 7 ~; 9 |; 2 &)
% 0.53/0.60 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.53/0.60 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.60 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.53/0.60 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.53/0.60 % Number of variables : 36 ( 36 !; 0 ?)
% 0.53/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.60
% 0.53/0.60 % Comments : Definitions unfolded, hence Especial.
% 0.53/0.60 %------------------------------------------------------------------------------
% 0.53/0.60 include('Axioms/GEO006+0.ax').
% 0.53/0.60 %------------------------------------------------------------------------------
% 0.53/0.60 fof(con,conjecture,
% 0.53/0.60 ! [X,Y,Z] :
% 0.53/0.60 ( convergent_lines(X,Y)
% 0.53/0.60 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 0.53/0.60 => ( distinct_lines(X,Z)
% 0.53/0.60 & distinct_lines(Y,Z) ) ) ) ).
% 0.53/0.60
% 0.53/0.60 %------------------------------------------------------------------------------
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 % Proof found
% 0.53/0.60 % SZS status Theorem for theBenchmark
% 0.53/0.60 % SZS output start Proof
% 0.53/0.60 %ClaNum:17(EqnAxiom:0)
% 0.53/0.60 %VarNum:74(SingletonVarNum:33)
% 0.53/0.60 %MaxLitNum:6
% 0.53/0.60 %MaxfuncDepth:1
% 0.53/0.60 %SharedTerms:8
% 0.53/0.60 %goalClause: 1 2 6
% 0.53/0.60 %singleGoalClaCount:2
% 0.53/0.60 [1]P1(a1,a2)
% 0.53/0.60 [2]P2(f3(a1,a2),a4)
% 0.53/0.60 [3]~P3(x31,x31)
% 0.53/0.60 [4]~P4(x41,x41)
% 0.53/0.60 [5]~P1(x51,x51)
% 0.53/0.60 [6]~P4(a1,a4)+~P4(a2,a4)
% 0.53/0.60 [13]~P3(x131,x132)+~P2(x132,f5(x131,x132))
% 0.53/0.60 [14]~P3(x141,x142)+~P2(x141,f5(x141,x142))
% 0.53/0.60 [15]~P1(x151,x152)+~P2(f3(x151,x152),x152)
% 0.53/0.60 [16]~P1(x161,x162)+~P2(f3(x161,x162),x161)
% 0.53/0.60 [7]~P3(x73,x71)+P3(x71,x72)+P3(x73,x72)
% 0.53/0.60 [8]~P2(x81,x83)+P3(x81,x82)+P2(x82,x83)
% 0.53/0.60 [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 0.53/0.60 [10]~P1(x103,x101)+P4(x101,x102)+P1(x103,x102)
% 0.53/0.60 [11]~P2(x113,x111)+P4(x111,x112)+P2(x113,x112)
% 0.53/0.60 [12]~P1(x123,x121)+P1(x121,x122)+P1(x123,x122)
% 0.53/0.60 [17]P2(x174,x173)+~P3(x174,x171)+~P4(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.53/0.60 %EqnAxiom
% 0.53/0.60
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 cnf(30,plain,
% 0.53/0.60 (~P2(f3(a1,a2),a2)),
% 0.53/0.60 inference(scs_inference,[],[1,4,15,10])).
% 0.53/0.60 cnf(31,plain,
% 0.53/0.60 (P4(a4,a2)),
% 0.53/0.60 inference(scs_inference,[],[2,30,11])).
% 0.53/0.60 cnf(38,plain,
% 0.53/0.60 (P4(a2,a4)),
% 0.53/0.60 inference(scs_inference,[],[31,4,9])).
% 0.53/0.60 cnf(41,plain,
% 0.53/0.60 (~P4(a1,a4)),
% 0.53/0.60 inference(scs_inference,[],[38,6])).
% 0.53/0.60 cnf(55,plain,
% 0.53/0.60 (P4(a4,a1)),
% 0.57/0.60 inference(scs_inference,[],[1,2,16,11])).
% 0.57/0.60 cnf(60,plain,
% 0.57/0.60 ($false),
% 0.57/0.60 inference(scs_inference,[],[55,41,4,9]),
% 0.57/0.60 ['proof']).
% 0.57/0.60 % SZS output end Proof
% 0.57/0.60 % Total time :0.040000s
%------------------------------------------------------------------------------