%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO182+2 : 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 : 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 : Mon Jun 24 06:04:15 EDT 2024
% Result : Theorem 1.72s 1.80s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO182+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 07:43:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.47/0.63 start to proof:theBenchmark
% 1.72/1.80 %-------------------------------------------
% 1.72/1.80 % File :CSE---1.7
% 1.72/1.80 % Problem :theBenchmark
% 1.72/1.80 % Transform :cnf
% 1.72/1.80 % Format :tptp:raw
% 1.72/1.80 % Command :java -jar mcs_scs.jar %d %s
% 1.72/1.80
% 1.72/1.80 % Result :Theorem 1.120000s
% 1.72/1.80 % Output :CNFRefutation 1.120000s
% 1.72/1.80 %-------------------------------------------
% 1.72/1.80 %------------------------------------------------------------------------------
% 1.72/1.80 % File : GEO182+2 : TPTP v8.2.0. Released v3.3.0.
% 1.72/1.80 % Domain : Geometry (Constructive)
% 1.72/1.80 % Problem : Triangle axiom 3
% 1.72/1.80 % Version : [vPl95] axioms : Reduced > Especial.
% 1.72/1.80 % English : If X and Y are distinct points and Z is apart from the line
% 1.72/1.80 % connecting X and Y, then Z is apart from the line connecting
% 1.72/1.80 % Y and X.
% 1.72/1.80
% 1.72/1.80 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.72/1.80 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 1.72/1.80 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 1.72/1.80 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.72/1.80 % Source : [ILTP]
% 1.72/1.80 % Names :
% 1.72/1.80
% 1.72/1.80 % Status : Theorem
% 1.72/1.80 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.17 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, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 1.72/1.80 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 1.72/1.80 % Number of atoms : 37 ( 0 equ)
% 1.72/1.80 % Maximal formula atoms : 6 ( 2 avg)
% 1.72/1.80 % Number of connectives : 27 ( 3 ~; 9 |; 2 &)
% 1.72/1.80 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 1.72/1.80 % Maximal formula depth : 9 ( 6 avg)
% 1.72/1.80 % Maximal term depth : 2 ( 1 avg)
% 1.72/1.80 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 1.72/1.80 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 1.72/1.80 % Number of variables : 33 ( 33 !; 0 ?)
% 1.72/1.80 % SPC : FOF_THM_RFO_NEQ
% 1.72/1.80
% 1.72/1.80 % Comments : Definitions unfolded, hence Especial.
% 1.72/1.80 %------------------------------------------------------------------------------
% 1.72/1.80 include('Axioms/GEO008+0.ax').
% 1.72/1.80 %------------------------------------------------------------------------------
% 1.72/1.80 fof(con,conjecture,
% 1.72/1.80 ! [X,Y,Z] :
% 1.72/1.80 ( distinct_points(X,Y)
% 1.72/1.80 => ( apart_point_and_line(Z,line_connecting(X,Y))
% 1.72/1.80 => apart_point_and_line(Z,line_connecting(Y,X)) ) ) ).
% 1.72/1.80
% 1.72/1.80 %------------------------------------------------------------------------------
% 1.72/1.80 %-------------------------------------------
% 1.72/1.80 % Proof found
% 1.72/1.80 % SZS status Theorem for theBenchmark
% 1.72/1.80 % SZS output start Proof
% 1.72/1.80 %ClaNum:17(EqnAxiom:0)
% 1.72/1.80 %VarNum:80(SingletonVarNum:36)
% 1.72/1.80 %MaxLitNum:6
% 1.72/1.80 %MaxfuncDepth:1
% 1.72/1.80 %SharedTerms:8
% 1.72/1.80 %goalClause: 1 2 6
% 1.72/1.80 %singleGoalClaCount:3
% 1.72/1.80 [1]P1(a1,a2)
% 1.72/1.80 [2]P2(a3,f4(a1,a2))
% 1.72/1.80 [6]~P2(a3,f4(a2,a1))
% 1.72/1.80 [3]~P1(x31,x31)
% 1.72/1.80 [4]~P3(x41,x41)
% 1.72/1.80 [5]~P4(x51,x51)
% 1.72/1.80 [7]~P4(x71,x72)+P3(x71,x72)
% 1.72/1.80 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 1.72/1.80 [9]~P2(x91,x93)+P1(x91,x92)+P2(x92,x93)
% 1.72/1.80 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 1.72/1.80 [11]~P2(x113,x111)+P3(x111,x112)+P2(x113,x112)
% 1.72/1.80 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 1.72/1.80 [13]~P4(x132,x133)+~P2(x131,x133)+P1(x131,f5(x132,x133))
% 1.72/1.80 [14]~P4(x142,x143)+~P2(x141,x142)+P1(x141,f5(x142,x143))
% 1.72/1.80 [15]P1(x151,x152)+~P1(x153,x152)+~P2(x151,f4(x153,x152))
% 1.72/1.80 [16]P1(x161,x162)+~P1(x162,x163)+~P2(x161,f4(x162,x163))
% 1.72/1.80 [17]P2(x174,x173)+~P1(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 1.72/1.80 %EqnAxiom
% 1.72/1.80
% 1.72/1.80 %-------------------------------------------
% 1.72/1.81 cnf(23,plain,
% 1.72/1.81 (P1(a3,a2)),
% 1.72/1.81 inference(scs_inference,[],[1,2,6,3,8,11,15])).
% 1.72/1.81 cnf(25,plain,
% 1.72/1.81 (P1(a3,a1)),
% 1.72/1.81 inference(scs_inference,[],[1,2,6,3,8,11,15,16])).
% 1.72/1.81 cnf(27,plain,
% 1.72/1.81 (P3(f4(a2,a1),f4(a1,a2))),
% 1.72/1.81 inference(scs_inference,[],[1,2,6,3,4,8,11,15,16,10])).
% 1.72/1.81 cnf(43,plain,
% 1.72/1.81 (P1(a2,a3)),
% 1.72/1.81 inference(scs_inference,[],[23,3,8])).
% 1.72/1.81 cnf(47,plain,
% 1.72/1.81 (P1(a1,a3)),
% 1.72/1.81 inference(scs_inference,[],[25,3,8])).
% 1.72/1.81 cnf(68,plain,
% 1.72/1.81 (~P2(a2,f4(a1,a2))),
% 1.72/1.81 inference(scs_inference,[],[3,1,8,15])).
% 1.72/1.81 cnf(69,plain,
% 1.72/1.81 (~P2(a1,f4(a2,a1))),
% 1.72/1.81 inference(scs_inference,[],[3,1,8,15])).
% 1.72/1.81 cnf(70,plain,
% 1.72/1.81 (~P2(a1,f4(a1,a2))),
% 1.72/1.81 inference(scs_inference,[],[3,1,8,16])).
% 1.72/1.81 cnf(77,plain,
% 1.72/1.81 (~P2(a2,f4(a3,a2))),
% 1.72/1.81 inference(scs_inference,[],[23,3,15,9])).
% 1.72/1.81 cnf(81,plain,
% 1.72/1.81 (~P2(a1,f4(a3,a1))),
% 1.72/1.81 inference(scs_inference,[],[25,3,15,8])).
% 1.72/1.81 cnf(85,plain,
% 1.72/1.81 (~P2(a2,f4(a2,a3))),
% 1.72/1.81 inference(scs_inference,[],[43,3,16,8])).
% 1.72/1.81 cnf(96,plain,
% 1.72/1.81 (P1(x961,a2)+~P2(x961,f4(a2,a1))),
% 1.72/1.81 inference(scs_inference,[],[3,1,8,16])).
% 1.72/1.81 cnf(97,plain,
% 1.72/1.81 (~P2(a2,f4(a2,a1))),
% 1.72/1.81 inference(scs_inference,[],[3,96])).
% 1.72/1.81 cnf(101,plain,
% 1.72/1.81 (~P2(a3,f4(a3,a1))),
% 1.72/1.81 inference(scs_inference,[],[3,70,2,16,9])).
% 1.72/1.81 cnf(102,plain,
% 1.72/1.81 (P3(f4(a1,a2),f4(a3,a1))),
% 1.72/1.81 inference(scs_inference,[],[2,101,11])).
% 1.72/1.81 cnf(104,plain,
% 1.72/1.81 (P3(f4(a3,a1),f4(a1,a2))),
% 1.72/1.81 inference(scs_inference,[],[102,4,10])).
% 1.72/1.81 cnf(121,plain,
% 1.72/1.81 (P2(a2,f4(a3,a1))),
% 1.72/1.81 inference(scs_inference,[],[1,3,68,81,70,104,8,17])).
% 1.72/1.81 cnf(126,plain,
% 1.72/1.81 (~P4(f4(a2,a1),f4(a3,a1))),
% 1.72/1.81 inference(scs_inference,[],[6,121,69,77,81,101,47,11,17,7])).
% 1.72/1.81 cnf(134,plain,
% 1.72/1.81 ($false),
% 1.72/1.81 inference(scs_inference,[],[1,121,68,69,85,97,70,27,126,5,12,11,17]),
% 1.72/1.81 ['proof']).
% 1.72/1.81 % SZS output end Proof
% 1.72/1.81 % Total time :1.120000s
%------------------------------------------------------------------------------