TSTP Solution File: GEO205+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 22:43:39 EDT 2023
% Result : Theorem 0.18s 0.61s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.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 23:08:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.61 %-------------------------------------------
% 0.18/0.61 % File :CSE---1.6
% 0.18/0.61 % Problem :theBenchmark
% 0.18/0.61 % Transform :cnf
% 0.18/0.61 % Format :tptp:raw
% 0.18/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.61
% 0.18/0.61 % Result :Theorem 0.010000s
% 0.18/0.61 % Output :CNFRefutation 0.010000s
% 0.18/0.61 %-------------------------------------------
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 % File : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.18/0.61 % Domain : Geometry (Constructive)
% 0.18/0.61 % Problem : Convergent lines and equal points
% 0.18/0.61 % Version : [vPl95] axioms : Especial.
% 0.18/0.61 % English : If the lines X and Y are convergent, and Y and Z are
% 0.18/0.61 % equivalent, then X and Z are convergent, and the intersection
% 0.18/0.61 % point of X and Y, and the intersection point of X and Z are
% 0.18/0.61 % equal.
% 0.18/0.61
% 0.18/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.18/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.18/0.61 % Source : [ILTP]
% 0.18/0.61 % Names : Theorem 5.6 [vPl95]
% 0.18/0.61
% 0.18/0.61 % Status : Theorem
% 0.18/0.61 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.30 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 0.18/0.61 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.18/0.61 % Number of atoms : 39 ( 0 equ)
% 0.18/0.61 % Maximal formula atoms : 6 ( 2 avg)
% 0.18/0.61 % Number of connectives : 33 ( 9 ~; 9 |; 3 &)
% 0.18/0.61 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.18/0.61 % Maximal formula depth : 9 ( 5 avg)
% 0.18/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.18/0.61 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.18/0.61 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.18/0.61 % Number of variables : 36 ( 36 !; 0 ?)
% 0.18/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.18/0.61
% 0.18/0.61 % Comments : Definitions unfolded, hence Especial.
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 include('Axioms/GEO006+0.ax').
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 fof(con,conjecture,
% 0.18/0.61 ! [X,Y,Z] :
% 0.18/0.61 ( ( convergent_lines(X,Y)
% 0.18/0.61 & ~ distinct_lines(Y,Z) )
% 0.18/0.61 => ( convergent_lines(X,Z)
% 0.18/0.61 & ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) ).
% 0.18/0.61
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 %-------------------------------------------
% 0.18/0.61 % Proof found
% 0.18/0.61 % SZS status Theorem for theBenchmark
% 0.18/0.62 % SZS output start Proof
% 0.18/0.62 %ClaNum:17(EqnAxiom:0)
% 0.18/0.62 %VarNum:74(SingletonVarNum:33)
% 0.18/0.62 %MaxLitNum:6
% 0.18/0.62 %MaxfuncDepth:1
% 0.18/0.62 %SharedTerms:9
% 0.18/0.62 %goalClause: 1 2 12
% 0.18/0.62 %singleGoalClaCount:2
% 0.18/0.62 [1]P1(a1,a2)
% 0.18/0.62 [2]~P3(a2,a3)
% 0.18/0.62 [3]~P4(x31,x31)
% 0.18/0.62 [4]~P3(x41,x41)
% 0.18/0.62 [5]~P1(x51,x51)
% 0.18/0.62 [12]P4(f4(a1,a2),f4(a1,a3))+~P1(a1,a3)
% 0.18/0.62 [13]~P4(x131,x132)+~P2(x132,f5(x131,x132))
% 0.18/0.62 [14]~P4(x141,x142)+~P2(x141,f5(x141,x142))
% 0.18/0.62 [15]~P1(x151,x152)+~P2(f4(x151,x152),x152)
% 0.18/0.62 [16]~P1(x161,x162)+~P2(f4(x161,x162),x161)
% 0.18/0.62 [6]~P4(x63,x61)+P4(x61,x62)+P4(x63,x62)
% 0.18/0.62 [7]~P2(x71,x73)+P4(x71,x72)+P2(x72,x73)
% 0.18/0.62 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 0.18/0.62 [9]~P1(x93,x91)+P3(x91,x92)+P1(x93,x92)
% 0.18/0.62 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 0.18/0.62 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 0.18/0.62 [17]P2(x174,x173)+~P4(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.18/0.62 %EqnAxiom
% 0.18/0.62
% 0.18/0.62 %-------------------------------------------
% 0.18/0.62 cnf(18,plain,
% 0.18/0.62 (P1(a2,a1)),
% 0.18/0.62 inference(scs_inference,[],[1,5,11])).
% 0.18/0.62 cnf(19,plain,
% 0.18/0.62 (~P1(x191,x191)),
% 0.18/0.62 inference(rename_variables,[],[5])).
% 0.18/0.62 cnf(20,plain,
% 0.18/0.62 (P3(a2,a1)),
% 0.18/0.62 inference(scs_inference,[],[1,5,19,11,9])).
% 0.18/0.62 cnf(23,plain,
% 0.18/0.62 (P3(a1,a2)),
% 0.18/0.62 inference(scs_inference,[],[1,4,5,19,11,9,8])).
% 0.18/0.62 cnf(26,plain,
% 0.18/0.62 (~P2(f4(a1,a2),a1)),
% 0.18/0.62 inference(scs_inference,[],[1,4,5,19,11,9,8,16])).
% 0.18/0.62 cnf(28,plain,
% 0.18/0.62 (~P2(f4(a1,a2),a2)),
% 0.18/0.62 inference(scs_inference,[],[1,4,5,19,11,9,8,16,15])).
% 0.18/0.62 cnf(30,plain,
% 0.18/0.62 (P2(x301,a3)+~P2(x301,a2)),
% 0.18/0.62 inference(scs_inference,[],[1,4,5,19,2,11,9,8,16,15,10])).
% 0.18/0.62 cnf(32,plain,
% 0.18/0.62 (P1(a1,a3)),
% 0.18/0.62 inference(scs_inference,[],[1,2,9])).
% 0.18/0.62 cnf(36,plain,
% 0.18/0.62 (P4(f4(a1,a2),f4(a1,a3))),
% 0.18/0.62 inference(scs_inference,[],[1,2,23,9,8,12])).
% 0.18/0.62 cnf(41,plain,
% 0.18/0.62 (P4(f4(a1,a3),f4(a1,a2))),
% 0.18/0.62 inference(scs_inference,[],[3,36,6])).
% 0.18/0.62 cnf(47,plain,
% 0.18/0.62 (~P3(a3,a2)),
% 0.18/0.62 inference(scs_inference,[],[2,4,8])).
% 0.18/0.62 cnf(50,plain,
% 0.18/0.62 (P2(f4(a1,a3),a1)+P2(f4(a1,a3),a2)),
% 0.18/0.62 inference(scs_inference,[],[2,4,26,28,20,41,8,17])).
% 0.18/0.62 cnf(54,plain,
% 0.18/0.62 (~P2(f4(a2,a1),a2)),
% 0.18/0.62 inference(scs_inference,[],[18,16])).
% 0.18/0.62 cnf(56,plain,
% 0.18/0.62 (~P2(f4(a2,a1),a1)),
% 0.18/0.62 inference(scs_inference,[],[18,16,15])).
% 0.18/0.62 cnf(65,plain,
% 0.18/0.62 (~P2(f4(a2,a1),a3)),
% 0.18/0.62 inference(scs_inference,[],[54,47,10])).
% 0.18/0.62 cnf(69,plain,
% 0.18/0.62 (P2(f4(a1,a3),a2)),
% 0.18/0.62 inference(scs_inference,[],[54,47,32,10,16,50])).
% 0.18/0.62 cnf(76,plain,
% 0.18/0.62 ($false),
% 0.18/0.62 inference(scs_inference,[],[23,69,56,65,26,28,54,32,30,7,17,15]),
% 0.18/0.62 ['proof']).
% 0.18/0.62 % SZS output end Proof
% 0.18/0.62 % Total time :0.010000s
%------------------------------------------------------------------------------