%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO190+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 : n024.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 06:04:21 EDT 2024
% Result : Theorem 19.75s 19.84s
% Output : CNFRefutation 19.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO190+2 : TPTP v8.2.0. Released v3.3.0.
% 0.02/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Jun 21 08:40:23 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.16/0.51 start to proof:theBenchmark
% 19.70/19.84 %-------------------------------------------
% 19.70/19.84 % File :CSE---1.7
% 19.70/19.84 % Problem :theBenchmark
% 19.70/19.84 % Transform :cnf
% 19.70/19.84 % Format :tptp:raw
% 19.70/19.84 % Command :java -jar mcs_scs.jar %d %s
% 19.70/19.84
% 19.70/19.84 % Result :Theorem 19.260000s
% 19.70/19.84 % Output :CNFRefutation 19.260000s
% 19.70/19.84 %-------------------------------------------
% 19.75/19.84 %------------------------------------------------------------------------------
% 19.75/19.84 % File : GEO190+2 : TPTP v8.2.0. Released v3.3.0.
% 19.75/19.84 % Domain : Geometry (Constructive)
% 19.75/19.84 % Problem : Collary to symmetry of incidence
% 19.75/19.84 % Version : [vPl95] axioms : Reduced > Especial.
% 19.75/19.84 % English : If X, Y, and Z are pairwise distinct, and Z is incident with
% 19.75/19.84 % the line connecting X and Y, then Z is incident with the line
% 19.75/19.84 % connecting Y and X.
% 19.75/19.84
% 19.75/19.84 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 19.75/19.84 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 19.75/19.84 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 19.75/19.84 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 19.75/19.84 % Source : [ILTP]
% 19.75/19.84 % Names :
% 19.75/19.84
% 19.75/19.84 % Status : Theorem
% 19.75/19.84 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 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
% 19.75/19.84 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 19.75/19.84 % Number of atoms : 39 ( 0 equ)
% 19.75/19.84 % Maximal formula atoms : 6 ( 3 avg)
% 19.75/19.84 % Number of connectives : 31 ( 5 ~; 9 |; 5 &)
% 19.75/19.84 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 19.75/19.84 % Maximal formula depth : 9 ( 6 avg)
% 19.75/19.84 % Maximal term depth : 2 ( 1 avg)
% 19.75/19.84 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 19.75/19.84 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 19.75/19.84 % Number of variables : 33 ( 33 !; 0 ?)
% 19.75/19.84 % SPC : FOF_THM_RFO_NEQ
% 19.75/19.84
% 19.75/19.84 % Comments : Definitions unfolded, hence Especial.
% 19.75/19.84 %------------------------------------------------------------------------------
% 19.75/19.84 include('Axioms/GEO008+0.ax').
% 19.75/19.84 %------------------------------------------------------------------------------
% 19.75/19.84 fof(con,conjecture,
% 19.75/19.84 ! [X,Y,Z] :
% 19.75/19.84 ( ( distinct_points(X,Y)
% 19.75/19.84 & distinct_points(X,Z)
% 19.75/19.84 & distinct_points(Y,Z)
% 19.75/19.84 & ~ apart_point_and_line(Z,line_connecting(X,Y)) )
% 19.75/19.84 => ~ apart_point_and_line(Z,line_connecting(Y,X)) ) ).
% 19.75/19.84
% 19.75/19.84 %------------------------------------------------------------------------------
% 19.75/19.84 %-------------------------------------------
% 19.75/19.84 % Proof found
% 19.75/19.84 % SZS status Theorem for theBenchmark
% 19.75/19.84 % SZS output start Proof
% 19.75/19.85 %ClaNum:19(EqnAxiom:0)
% 19.75/19.85 %VarNum:80(SingletonVarNum:36)
% 19.75/19.85 %MaxLitNum:6
% 19.75/19.85 %MaxfuncDepth:1
% 19.75/19.85 %SharedTerms:10
% 19.75/19.85 %goalClause: 1 2 3 4 8
% 19.75/19.85 %singleGoalClaCount:5
% 19.75/19.85 [1]P1(a1,a2)
% 19.75/19.85 [2]P1(a1,a3)
% 19.75/19.85 [3]P1(a2,a3)
% 19.75/19.85 [4]P2(a3,f4(a2,a1))
% 19.75/19.85 [8]~P2(a3,f4(a1,a2))
% 19.75/19.85 [5]~P1(x51,x51)
% 19.75/19.85 [6]~P3(x61,x61)
% 19.75/19.85 [7]~P4(x71,x71)
% 19.75/19.85 [9]~P4(x91,x92)+P3(x91,x92)
% 19.75/19.85 [10]~P1(x103,x101)+P1(x101,x102)+P1(x103,x102)
% 19.75/19.85 [11]~P2(x111,x113)+P1(x111,x112)+P2(x112,x113)
% 19.75/19.85 [12]~P3(x123,x121)+P3(x121,x122)+P3(x123,x122)
% 19.75/19.85 [13]~P2(x133,x131)+P3(x131,x132)+P2(x133,x132)
% 19.75/19.85 [14]~P4(x143,x141)+P4(x141,x142)+P4(x143,x142)
% 19.75/19.85 [15]~P4(x152,x153)+~P2(x151,x153)+P1(x151,f5(x152,x153))
% 19.75/19.85 [16]~P4(x162,x163)+~P2(x161,x162)+P1(x161,f5(x162,x163))
% 19.75/19.85 [17]P1(x171,x172)+~P1(x173,x172)+~P2(x171,f4(x173,x172))
% 19.75/19.85 [18]P1(x181,x182)+~P1(x182,x183)+~P2(x181,f4(x182,x183))
% 19.75/19.85 [19]P2(x194,x193)+~P1(x194,x191)+~P3(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 19.75/19.85 %EqnAxiom
% 19.75/19.85
% 19.75/19.85 %-------------------------------------------
% 19.78/19.85 cnf(20,plain,
% 19.78/19.85 (P1(a2,a1)),
% 19.78/19.85 inference(scs_inference,[],[1,5,10])).
% 19.78/19.85 cnf(25,plain,
% 19.78/19.85 (P1(a3,a1)),
% 19.78/19.85 inference(scs_inference,[],[1,4,8,5,10,13,17])).
% 19.78/19.85 cnf(27,plain,
% 19.78/19.85 (P1(a3,a2)),
% 19.78/19.85 inference(scs_inference,[],[1,4,8,5,10,13,17,18])).
% 19.78/19.85 cnf(64,plain,
% 19.78/19.85 (~P2(a3,f4(a1,a3))),
% 19.78/19.85 inference(scs_inference,[],[2,5,10,17])).
% 19.78/19.85 cnf(67,plain,
% 19.78/19.85 (~P2(a2,f4(a3,a2))),
% 19.78/19.85 inference(scs_inference,[],[3,5,10,17])).
% 19.78/19.85 cnf(68,plain,
% 19.78/19.85 (~P2(a1,f4(a1,a3))),
% 19.78/19.85 inference(scs_inference,[],[5,2,10,18])).
% 19.78/19.85 cnf(69,plain,
% 19.78/19.85 (~P2(a3,f4(a2,a3))),
% 19.78/19.85 inference(scs_inference,[],[3,5,10,17])).
% 19.78/19.85 cnf(72,plain,
% 19.78/19.85 (~P2(a2,f4(a1,a2))),
% 19.78/19.85 inference(scs_inference,[],[1,5,10,17])).
% 19.78/19.85 cnf(73,plain,
% 19.78/19.85 (~P2(a1,f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[2,5,10,17])).
% 19.78/19.85 cnf(88,plain,
% 19.78/19.85 (~P2(a2,f4(a2,a3))),
% 19.78/19.85 inference(scs_inference,[],[3,5,18,10])).
% 19.78/19.85 cnf(89,plain,
% 19.78/19.85 (~P2(a1,f4(a1,a2))),
% 19.78/19.85 inference(scs_inference,[],[1,5,18,11])).
% 19.78/19.85 cnf(90,plain,
% 19.78/19.85 (~P2(a3,f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[5,4,20,18,17])).
% 19.78/19.85 cnf(91,plain,
% 19.78/19.85 (P3(f4(a2,a1),f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[4,90,13])).
% 19.78/19.85 cnf(99,plain,
% 19.78/19.85 (~P2(a3,f4(a3,a2))),
% 19.78/19.85 inference(scs_inference,[],[27,5,18,11])).
% 19.78/19.85 cnf(103,plain,
% 19.78/19.85 (P1(a2,x1031)+~P2(a3,f4(a3,x1031))),
% 19.78/19.85 inference(scs_inference,[],[5,27,18,10])).
% 19.78/19.85 cnf(105,plain,
% 19.78/19.85 (~P3(f4(a3,a2),f4(a1,a2))),
% 19.78/19.85 inference(scs_inference,[],[8,3,99,67,72,19])).
% 19.78/19.85 cnf(108,plain,
% 19.78/19.85 (~P2(a1,f4(a3,a2))),
% 19.78/19.85 inference(scs_inference,[],[89,105,13])).
% 19.78/19.85 cnf(110,plain,
% 19.78/19.85 (~P3(f4(a1,a3),f4(a1,a2))),
% 19.78/19.85 inference(scs_inference,[],[8,2,68,89,105,64,13,19])).
% 19.78/19.85 cnf(115,plain,
% 19.78/19.85 (~P2(a2,f4(a1,a3))),
% 19.78/19.85 inference(scs_inference,[],[110,72,13])).
% 19.78/19.85 cnf(117,plain,
% 19.78/19.85 (~P3(f4(a2,a3),f4(a1,a2))),
% 19.78/19.85 inference(scs_inference,[],[8,3,110,88,69,72,13,19])).
% 19.78/19.85 cnf(121,plain,
% 19.78/19.85 (~P3(f4(a3,a1),f4(a3,a2))),
% 19.78/19.85 inference(scs_inference,[],[5,2,73,90,108,103,19])).
% 19.78/19.85 cnf(124,plain,
% 19.78/19.85 (~P2(a2,f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[121,67,9,13])).
% 19.78/19.85 cnf(126,plain,
% 19.78/19.85 (~P3(f4(a1,a2),f4(a1,a3))),
% 19.78/19.85 inference(scs_inference,[],[8,25,121,68,67,89,64,9,13,19])).
% 19.78/19.85 cnf(131,plain,
% 19.78/19.85 (~P2(a1,f4(a2,a3))),
% 19.78/19.85 inference(scs_inference,[],[117,126,89,9,13])).
% 19.78/19.85 cnf(133,plain,
% 19.78/19.85 (~P3(f4(a3,a1),f4(a1,a2))),
% 19.78/19.85 inference(scs_inference,[],[8,2,117,126,73,90,89,9,13,19])).
% 19.78/19.85 cnf(137,plain,
% 19.78/19.85 (~P3(f4(a2,a3),f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[1,133,124,131,73,88,9,19])).
% 19.78/19.85 cnf(147,plain,
% 19.78/19.85 (~P3(f4(a1,a2),f4(a2,a3))),
% 19.78/19.85 inference(scs_inference,[],[8,25,131,137,69,89,9,19])).
% 19.78/19.85 cnf(151,plain,
% 19.78/19.85 (~P3(f4(a2,a3),f4(a1,a3))),
% 19.78/19.85 inference(scs_inference,[],[1,147,115,131,68,88,9,19])).
% 19.78/19.85 cnf(155,plain,
% 19.78/19.85 (~P3(f4(a3,a2),f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[1,151,124,108,73,67,9,19])).
% 19.78/19.85 cnf(159,plain,
% 19.78/19.85 (~P3(f4(a1,a2),f4(a3,a1))),
% 19.78/19.85 inference(scs_inference,[],[8,155,25,90,73,89,9,19])).
% 19.78/19.85 cnf(163,plain,
% 19.78/19.85 (~P3(f4(a3,a1),f4(a2,a3))),
% 19.78/19.85 inference(scs_inference,[],[159,20,124,131,88,73,9,19])).
% 19.78/19.85 cnf(193,plain,
% 19.78/19.85 (P3(f4(a3,a1),f4(a2,a1))),
% 19.78/19.85 inference(scs_inference,[],[91,6,12])).
% 19.78/19.85 cnf(918,plain,
% 19.78/19.85 (P2(a2,f4(a2,a1))+P2(a1,f4(a2,a1))),
% 19.78/19.85 inference(scs_inference,[],[163,193,88,1,131,12,19])).
% 19.78/19.85 cnf(919,plain,
% 19.78/19.85 (P2(a2,f4(a2,a1))),
% 19.78/19.85 inference(scs_inference,[],[20,5,918,17])).
% 19.78/19.85 cnf(920,plain,
% 19.78/19.85 ($false),
% 19.78/19.85 inference(scs_inference,[],[5,919,20,18]),
% 19.78/19.85 ['proof']).
% 19.78/19.85 % SZS output end Proof
% 19.78/19.85 % Total time :19.260000s
%------------------------------------------------------------------------------