TSTP Solution File: GEO180+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO180+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 : n025.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 22:43:22 EDT 2023
% Result : Theorem 0.22s 0.65s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:36:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 % File :CSE---1.6
% 0.22/0.64 % Problem :theBenchmark
% 0.22/0.64 % Transform :cnf
% 0.22/0.64 % Format :tptp:raw
% 0.22/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.64
% 0.22/0.64 % Result :Theorem 0.020000s
% 0.22/0.64 % Output :CNFRefutation 0.020000s
% 0.22/0.64 %-------------------------------------------
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 % File : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.22/0.65 % Domain : Geometry (Constructive)
% 0.22/0.65 % Problem : Triangle axiom 1
% 0.22/0.65 % Version : [vPl95] axioms : Especial.
% 0.22/0.65 % English : If X and Y are distinct points and Z is apart from the line
% 0.22/0.65 % connecting X and Y, then X is apart from the line connecting
% 0.22/0.65 % Z and Y.
% 0.22/0.65
% 0.22/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.22/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.22/0.65 % Source : [ILTP]
% 0.22/0.65 % Names : Theorem 4.4.i [vPl95]
% 0.22/0.65
% 0.22/0.65 % Status : Theorem
% 0.22/0.65 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 0.22/0.65 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.22/0.65 % Number of atoms : 38 ( 0 equ)
% 0.22/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.22/0.65 % Number of connectives : 30 ( 7 ~; 9 |; 1 &)
% 0.22/0.65 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.22/0.65 % Maximal formula depth : 9 ( 5 avg)
% 0.22/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.22/0.65 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.22/0.65 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.22/0.65 % Number of variables : 36 ( 36 !; 0 ?)
% 0.22/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.22/0.65
% 0.22/0.65 % Comments : Definitions unfolded, hence Especial.
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 include('Axioms/GEO006+0.ax').
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 fof(con,conjecture,
% 0.22/0.65 ! [X,Y,Z] :
% 0.22/0.65 ( distinct_points(X,Y)
% 0.22/0.65 => ( apart_point_and_line(Z,line_connecting(X,Y))
% 0.22/0.65 => apart_point_and_line(X,line_connecting(Z,Y)) ) ) ).
% 0.22/0.65
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 %-------------------------------------------
% 0.22/0.65 % Proof found
% 0.22/0.65 % SZS status Theorem for theBenchmark
% 0.22/0.65 % SZS output start Proof
% 0.22/0.65 %ClaNum:17(EqnAxiom:0)
% 0.22/0.65 %VarNum:74(SingletonVarNum:33)
% 0.22/0.65 %MaxLitNum:6
% 0.22/0.65 %MaxfuncDepth:1
% 0.22/0.65 %SharedTerms:8
% 0.22/0.65 %goalClause: 1 2 6
% 0.22/0.65 %singleGoalClaCount:3
% 0.22/0.65 [1]P1(a1,a2)
% 0.22/0.65 [2]P2(a3,f4(a1,a2))
% 0.22/0.65 [6]~P2(a1,f4(a3,a2))
% 0.22/0.65 [3]~P1(x31,x31)
% 0.22/0.65 [4]~P3(x41,x41)
% 0.22/0.65 [5]~P4(x51,x51)
% 0.22/0.65 [13]~P1(x131,x132)+~P2(x132,f4(x131,x132))
% 0.22/0.65 [14]~P1(x141,x142)+~P2(x141,f4(x141,x142))
% 0.22/0.65 [15]~P4(x151,x152)+~P2(f5(x151,x152),x152)
% 0.22/0.65 [16]~P4(x161,x162)+~P2(f5(x161,x162),x161)
% 0.22/0.65 [7]~P1(x73,x71)+P1(x71,x72)+P1(x73,x72)
% 0.22/0.65 [8]~P2(x81,x83)+P1(x81,x82)+P2(x82,x83)
% 0.22/0.65 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.22/0.65 [10]~P4(x103,x101)+P3(x101,x102)+P4(x103,x102)
% 0.22/0.65 [11]~P2(x113,x111)+P3(x111,x112)+P2(x113,x112)
% 0.22/0.65 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.22/0.65 [17]P2(x174,x173)+~P1(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.22/0.65 %EqnAxiom
% 0.22/0.65
% 0.22/0.65 %-------------------------------------------
% 0.22/0.65 cnf(20,plain,
% 0.22/0.65 (~P2(a1,f4(a1,a2))),
% 0.22/0.65 inference(scs_inference,[],[1,3,7,14])).
% 0.22/0.65 cnf(22,plain,
% 0.22/0.65 (~P2(a2,f4(a1,a2))),
% 0.22/0.65 inference(scs_inference,[],[1,3,7,14,13])).
% 0.22/0.65 cnf(24,plain,
% 0.22/0.65 (P1(a3,a2)),
% 0.22/0.65 inference(scs_inference,[],[2,22,8])).
% 0.22/0.65 cnf(26,plain,
% 0.22/0.65 (P2(a2,f4(a3,a2))+~P3(f4(a1,a2),f4(a3,a2))),
% 0.22/0.65 inference(scs_inference,[],[1,6,2,22,20,8,17])).
% 0.22/0.65 cnf(27,plain,
% 0.22/0.65 (P2(a2,f4(a3,a2))+~P4(f4(a3,a2),f4(a1,a2))),
% 0.22/0.66 inference(scs_inference,[],[1,5,6,2,22,20,8,17,10])).
% 0.22/0.66 cnf(40,plain,
% 0.22/0.66 (~P3(f4(a1,a2),f4(a3,a2))),
% 0.22/0.66 inference(scs_inference,[],[24,26,13])).
% 0.22/0.66 cnf(44,plain,
% 0.22/0.66 (~P2(a3,f4(a3,a2))),
% 0.22/0.66 inference(scs_inference,[],[24,13,27,14])).
% 0.22/0.66 cnf(50,plain,
% 0.22/0.66 ($false),
% 0.22/0.66 inference(scs_inference,[],[40,44,4,2,9,11]),
% 0.22/0.66 ['proof']).
% 0.22/0.66 % SZS output end Proof
% 0.22/0.66 % Total time :0.020000s
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