%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO181+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 06:04:14 EDT 2024
% Result : Theorem 1.84s 1.90s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO181+1 : TPTP v8.2.0. Released v3.3.0.
% 0.09/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.36 % Computer : n028.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri Jun 21 09:40:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.57/0.61 start to proof:theBenchmark
% 1.84/1.89 %-------------------------------------------
% 1.84/1.89 % File :CSE---1.7
% 1.84/1.89 % Problem :theBenchmark
% 1.84/1.89 % Transform :cnf
% 1.84/1.89 % Format :tptp:raw
% 1.84/1.89 % Command :java -jar mcs_scs.jar %d %s
% 1.84/1.89
% 1.84/1.89 % Result :Theorem 1.230000s
% 1.84/1.89 % Output :CNFRefutation 1.230000s
% 1.84/1.89 %-------------------------------------------
% 1.84/1.89 %------------------------------------------------------------------------------
% 1.84/1.89 % File : GEO181+1 : TPTP v8.2.0. Released v3.3.0.
% 1.84/1.89 % Domain : Geometry (Constructive)
% 1.84/1.89 % Problem : Triangle axiom 2
% 1.84/1.89 % Version : [vPl95] axioms : Especial.
% 1.84/1.89 % English : If X and Y are distinct points and Z is apart from the line
% 1.84/1.89 % connecting X and Y, then Y is apart from the line connecting
% 1.84/1.89 % X and Z.
% 1.84/1.89
% 1.84/1.89 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.84/1.89 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.84/1.89 % Source : [ILTP]
% 1.84/1.89 % Names : Theorem 4.4.ii [vPl95]
% 1.84/1.89
% 1.84/1.89 % Status : Theorem
% 1.84/1.89 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 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, 0.14 v3.5.0, 0.00 v3.3.0
% 1.84/1.89 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 1.84/1.89 % Number of atoms : 38 ( 0 equ)
% 1.84/1.89 % Maximal formula atoms : 6 ( 2 avg)
% 1.84/1.89 % Number of connectives : 30 ( 7 ~; 9 |; 1 &)
% 1.84/1.89 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 1.84/1.89 % Maximal formula depth : 9 ( 5 avg)
% 1.84/1.89 % Maximal term depth : 2 ( 1 avg)
% 1.84/1.89 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 1.84/1.89 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 1.84/1.89 % Number of variables : 36 ( 36 !; 0 ?)
% 1.84/1.89 % SPC : FOF_THM_RFO_NEQ
% 1.84/1.89
% 1.84/1.89 % Comments : Definitions unfolded, hence Especial.
% 1.84/1.89 %------------------------------------------------------------------------------
% 1.84/1.89 include('Axioms/GEO006+0.ax').
% 1.84/1.89 %------------------------------------------------------------------------------
% 1.84/1.89 fof(con,conjecture,
% 1.84/1.89 ! [X,Y,Z] :
% 1.84/1.89 ( distinct_points(X,Y)
% 1.84/1.89 => ( apart_point_and_line(Z,line_connecting(X,Y))
% 1.84/1.89 => apart_point_and_line(Y,line_connecting(X,Z)) ) ) ).
% 1.84/1.90
% 1.84/1.90 %------------------------------------------------------------------------------
% 1.84/1.90 %-------------------------------------------
% 1.84/1.90 % Proof found
% 1.84/1.90 % SZS status Theorem for theBenchmark
% 1.84/1.90 % SZS output start Proof
% 1.84/1.90 %ClaNum:17(EqnAxiom:0)
% 1.84/1.90 %VarNum:74(SingletonVarNum:33)
% 1.84/1.90 %MaxLitNum:6
% 1.84/1.90 %MaxfuncDepth:1
% 1.84/1.90 %SharedTerms:8
% 1.84/1.90 %goalClause: 1 2 6
% 1.84/1.90 %singleGoalClaCount:3
% 1.84/1.90 [1]P1(a1,a2)
% 1.84/1.90 [2]P2(a3,f4(a1,a2))
% 1.84/1.90 [6]~P2(a2,f4(a1,a3))
% 1.84/1.90 [3]~P1(x31,x31)
% 1.84/1.90 [4]~P3(x41,x41)
% 1.84/1.90 [5]~P4(x51,x51)
% 1.84/1.90 [13]~P1(x131,x132)+~P2(x132,f4(x131,x132))
% 1.84/1.90 [14]~P1(x141,x142)+~P2(x141,f4(x141,x142))
% 1.84/1.90 [15]~P4(x151,x152)+~P2(f5(x151,x152),x152)
% 1.84/1.90 [16]~P4(x161,x162)+~P2(f5(x161,x162),x161)
% 1.84/1.90 [7]~P1(x73,x71)+P1(x71,x72)+P1(x73,x72)
% 1.84/1.90 [8]~P2(x81,x83)+P1(x81,x82)+P2(x82,x83)
% 1.84/1.90 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 1.84/1.90 [10]~P4(x103,x101)+P3(x101,x102)+P4(x103,x102)
% 1.84/1.90 [11]~P2(x113,x111)+P3(x111,x112)+P2(x113,x112)
% 1.84/1.90 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 1.84/1.90 [17]P2(x174,x173)+~P1(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 1.84/1.90 %EqnAxiom
% 1.84/1.90
% 1.84/1.90 %-------------------------------------------
% 1.84/1.91 cnf(21,plain,
% 1.84/1.91 (~P2(a1,f4(a2,a1))),
% 1.84/1.91 inference(scs_inference,[],[3,1,13,7])).
% 1.84/1.91 cnf(22,plain,
% 1.84/1.91 (~P2(a2,f4(a2,a1))),
% 1.84/1.91 inference(scs_inference,[],[3,1,14,7])).
% 1.84/1.91 cnf(31,plain,
% 1.84/1.91 (P1(a3,a2)),
% 1.84/1.91 inference(scs_inference,[],[1,2,13,8])).
% 1.84/1.91 cnf(32,plain,
% 1.84/1.91 (~P2(x321,f4(a2,a1))+~P2(a2,f4(x321,a2))),
% 1.84/1.91 inference(scs_inference,[],[22,13,8])).
% 1.84/1.91 cnf(33,plain,
% 1.84/1.91 (P3(f4(a1,a2),f4(a2,a1))+~P2(a2,f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[2,32,11])).
% 1.84/1.91 cnf(35,plain,
% 1.84/1.91 (~P2(a2,f4(a1,a2))),
% 1.84/1.91 inference(scs_inference,[],[1,4,13,11])).
% 1.84/1.91 cnf(42,plain,
% 1.84/1.91 (~P2(a1,f4(a1,a2))),
% 1.84/1.91 inference(scs_inference,[],[1,4,14,11])).
% 1.84/1.91 cnf(50,plain,
% 1.84/1.91 (~P2(a3,f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[35,2,14,8])).
% 1.84/1.91 cnf(51,plain,
% 1.84/1.91 (P3(f4(a1,a2),f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[2,50,11])).
% 1.84/1.91 cnf(66,plain,
% 1.84/1.91 (~P2(a2,f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[22,42,35,21,1,33,17])).
% 1.84/1.91 cnf(67,plain,
% 1.84/1.91 (P1(a2,a3)),
% 1.84/1.91 inference(scs_inference,[],[31,3,7])).
% 1.84/1.91 cnf(72,plain,
% 1.84/1.91 (P2(a1,f4(a1,a3))+~P3(f4(a1,a2),f4(a1,a3))),
% 1.84/1.91 inference(scs_inference,[],[1,3,6,42,35,7,17])).
% 1.84/1.91 cnf(75,plain,
% 1.84/1.91 (~P1(a1,a3)+~P3(f4(a1,a2),f4(a1,a3))),
% 1.84/1.91 inference(scs_inference,[],[72,14])).
% 1.84/1.91 cnf(76,plain,
% 1.84/1.91 (~P2(a1,f4(a3,a2))+~P3(f4(a1,a2),f4(a1,a3))),
% 1.84/1.91 inference(scs_inference,[],[50,75,8])).
% 1.84/1.91 cnf(77,plain,
% 1.84/1.91 (~P4(f4(a1,a3),f4(a1,a2))+~P2(a1,f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[5,76,10])).
% 1.84/1.91 cnf(91,plain,
% 1.84/1.91 (P2(a1,f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[1,66,51,42,35,17])).
% 1.84/1.91 cnf(93,plain,
% 1.84/1.91 (~P4(f4(a1,a3),f4(a1,a2))),
% 1.84/1.91 inference(scs_inference,[],[1,66,51,42,35,17,77])).
% 1.84/1.91 cnf(96,plain,
% 1.84/1.91 (~P3(f4(a1,a2),f4(a1,a3))),
% 1.84/1.91 inference(scs_inference,[],[91,76])).
% 1.84/1.91 cnf(101,plain,
% 1.84/1.91 (P3(f4(a3,a2),f4(a1,a3))),
% 1.84/1.91 inference(scs_inference,[],[96,51,93,5,12,9])).
% 1.84/1.91 cnf(253,plain,
% 1.84/1.91 (P3(f4(a1,a3),f4(a3,a2))),
% 1.84/1.91 inference(scs_inference,[],[101,4,9])).
% 1.84/1.91 cnf(271,plain,
% 1.84/1.91 (~P1(a1,a3)),
% 1.84/1.91 inference(scs_inference,[],[253,6,67,66,50,17,13])).
% 1.84/1.91 cnf(273,plain,
% 1.84/1.91 ($false),
% 1.84/1.91 inference(scs_inference,[],[271,91,50,8]),
% 1.84/1.91 ['proof']).
% 1.84/1.91 % SZS output end Proof
% 1.84/1.91 % Total time :1.230000s
%------------------------------------------------------------------------------