TSTP Solution File: GEO181+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO181+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 : n008.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 22:43:23 EDT 2023
% Result : Theorem 0.21s 0.70s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n008.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 : Tue Aug 29 23:01:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 % File :CSE---1.6
% 0.21/0.70 % Problem :theBenchmark
% 0.21/0.70 % Transform :cnf
% 0.21/0.70 % Format :tptp:raw
% 0.21/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.70
% 0.21/0.70 % Result :Theorem 0.080000s
% 0.21/0.70 % Output :CNFRefutation 0.080000s
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 %------------------------------------------------------------------------------
% 0.21/0.70 % File : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.21/0.70 % Domain : Geometry (Constructive)
% 0.21/0.70 % Problem : Triangle axiom 2
% 0.21/0.70 % Version : [vPl95] axioms : Especial.
% 0.21/0.70 % English : If X and Y are distinct points and Z is apart from the line
% 0.21/0.70 % connecting X and Y, then Y is apart from the line connecting
% 0.21/0.70 % X and Z.
% 0.21/0.70
% 0.21/0.70 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.21/0.70 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.21/0.70 % Source : [ILTP]
% 0.21/0.70 % Names : Theorem 4.4.ii [vPl95]
% 0.21/0.70
% 0.21/0.70 % Status : Theorem
% 0.21/0.70 % 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
% 0.21/0.70 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.21/0.70 % Number of atoms : 38 ( 0 equ)
% 0.21/0.70 % Maximal formula atoms : 6 ( 2 avg)
% 0.21/0.70 % Number of connectives : 30 ( 7 ~; 9 |; 1 &)
% 0.21/0.70 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.21/0.70 % Maximal formula depth : 9 ( 5 avg)
% 0.21/0.70 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.70 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.21/0.70 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.21/0.70 % Number of variables : 36 ( 36 !; 0 ?)
% 0.21/0.70 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.70
% 0.21/0.70 % Comments : Definitions unfolded, hence Especial.
% 0.21/0.70 %------------------------------------------------------------------------------
% 0.21/0.70 include('Axioms/GEO006+0.ax').
% 0.21/0.70 %------------------------------------------------------------------------------
% 0.21/0.70 fof(con,conjecture,
% 0.21/0.70 ! [X,Y,Z] :
% 0.21/0.70 ( distinct_points(X,Y)
% 0.21/0.70 => ( apart_point_and_line(Z,line_connecting(X,Y))
% 0.21/0.70 => apart_point_and_line(Y,line_connecting(X,Z)) ) ) ).
% 0.21/0.70
% 0.21/0.70 %------------------------------------------------------------------------------
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 % Proof found
% 0.21/0.70 % SZS status Theorem for theBenchmark
% 0.21/0.70 % SZS output start Proof
% 0.21/0.70 %ClaNum:17(EqnAxiom:0)
% 0.21/0.70 %VarNum:74(SingletonVarNum:33)
% 0.21/0.70 %MaxLitNum:6
% 0.21/0.70 %MaxfuncDepth:1
% 0.21/0.70 %SharedTerms:8
% 0.21/0.70 %goalClause: 1 2 6
% 0.21/0.71 %singleGoalClaCount:3
% 0.21/0.71 [1]P1(a1,a2)
% 0.21/0.71 [2]P2(a3,f4(a1,a2))
% 0.21/0.71 [6]~P2(a2,f4(a1,a3))
% 0.21/0.71 [3]~P1(x31,x31)
% 0.21/0.71 [4]~P3(x41,x41)
% 0.21/0.71 [5]~P4(x51,x51)
% 0.21/0.71 [13]~P1(x131,x132)+~P2(x132,f4(x131,x132))
% 0.21/0.71 [14]~P1(x141,x142)+~P2(x141,f4(x141,x142))
% 0.21/0.71 [15]~P4(x151,x152)+~P2(f5(x151,x152),x152)
% 0.21/0.71 [16]~P4(x161,x162)+~P2(f5(x161,x162),x161)
% 0.21/0.71 [7]~P1(x73,x71)+P1(x71,x72)+P1(x73,x72)
% 0.21/0.71 [8]~P2(x81,x83)+P1(x81,x82)+P2(x82,x83)
% 0.21/0.71 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.21/0.71 [10]~P4(x103,x101)+P3(x101,x102)+P4(x103,x102)
% 0.21/0.71 [11]~P2(x113,x111)+P3(x111,x112)+P2(x113,x112)
% 0.21/0.71 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.21/0.71 [17]P2(x174,x173)+~P1(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.21/0.71 %EqnAxiom
% 0.21/0.71
% 0.21/0.71 %-------------------------------------------
% 0.21/0.71 cnf(18,plain,
% 0.21/0.71 (P1(a2,a1)),
% 0.21/0.71 inference(scs_inference,[],[1,3,7])).
% 0.21/0.71 cnf(20,plain,
% 0.21/0.71 (~P2(a1,f4(a1,a2))),
% 0.21/0.71 inference(scs_inference,[],[1,3,7,14])).
% 0.21/0.71 cnf(22,plain,
% 0.21/0.71 (~P2(a2,f4(a1,a2))),
% 0.21/0.71 inference(scs_inference,[],[1,3,7,14,13])).
% 0.21/0.71 cnf(24,plain,
% 0.21/0.71 (P1(a3,a2)),
% 0.21/0.71 inference(scs_inference,[],[2,22,8])).
% 0.21/0.71 cnf(26,plain,
% 0.21/0.71 (P2(a1,f4(a1,a3))+~P3(f4(a1,a3),f4(a1,a2))),
% 0.21/0.71 inference(scs_inference,[],[1,6,2,22,20,8,17])).
% 0.21/0.71 cnf(32,plain,
% 0.21/0.71 (~P2(a2,f4(a2,a1))),
% 0.21/0.71 inference(scs_inference,[],[18,14])).
% 0.21/0.71 cnf(34,plain,
% 0.21/0.71 (~P2(a1,f4(a2,a1))),
% 0.21/0.71 inference(scs_inference,[],[18,14,13])).
% 0.21/0.71 cnf(38,plain,
% 0.21/0.71 (P1(a2,a3)),
% 0.21/0.71 inference(scs_inference,[],[24,3,7])).
% 0.21/0.71 cnf(41,plain,
% 0.21/0.71 (~P1(a1,a3)+~P3(f4(a1,a3),f4(a1,a2))),
% 0.21/0.71 inference(scs_inference,[],[26,14])).
% 0.21/0.71 cnf(42,plain,
% 0.21/0.71 (~P2(a3,f4(a3,a2))),
% 0.21/0.71 inference(scs_inference,[],[24,14])).
% 0.21/0.71 cnf(44,plain,
% 0.21/0.71 (~P2(a2,f4(a3,a2))),
% 0.21/0.71 inference(scs_inference,[],[24,14,13])).
% 0.21/0.71 cnf(47,plain,
% 0.21/0.71 (P3(f4(a1,a2),f4(a3,a2))),
% 0.21/0.71 inference(scs_inference,[],[42,2,11])).
% 0.21/0.71 cnf(49,plain,
% 0.21/0.71 (P1(a3,a1)),
% 0.21/0.71 inference(scs_inference,[],[20,42,2,11,8])).
% 0.21/0.71 cnf(55,plain,
% 0.21/0.71 (P2(a1,f4(a3,a2))),
% 0.21/0.71 inference(scs_inference,[],[20,22,47,44,4,1,9,17])).
% 0.21/0.71 cnf(63,plain,
% 0.21/0.71 (~P2(a3,f4(a2,a3))),
% 0.21/0.71 inference(scs_inference,[],[38,13])).
% 0.21/0.71 cnf(65,plain,
% 0.21/0.71 (~P2(a2,f4(a2,a3))),
% 0.21/0.71 inference(scs_inference,[],[38,13,14])).
% 0.21/0.71 cnf(67,plain,
% 0.21/0.71 (~P2(a3,f4(a1,a3))),
% 0.21/0.71 inference(scs_inference,[],[55,42,13,8])).
% 0.21/0.71 cnf(69,plain,
% 0.21/0.71 (P1(a1,a3)),
% 0.21/0.71 inference(scs_inference,[],[42,55,8])).
% 0.21/0.71 cnf(76,plain,
% 0.21/0.71 (P3(f4(a3,a2),f4(a2,a1))),
% 0.21/0.71 inference(scs_inference,[],[34,42,49,55,8,14,13,41,11])).
% 0.21/0.71 cnf(79,plain,
% 0.21/0.71 (P2(a3,f4(a2,a1))),
% 0.21/0.71 inference(scs_inference,[],[32,44,38,42,76,17])).
% 0.21/0.71 cnf(83,plain,
% 0.21/0.71 (~P2(a1,f4(a1,a3))),
% 0.21/0.71 inference(scs_inference,[],[69,14])).
% 0.21/0.71 cnf(89,plain,
% 0.21/0.71 (P3(f4(a2,a1),f4(a2,a3))),
% 0.21/0.71 inference(scs_inference,[],[63,79,11])).
% 0.21/0.71 cnf(91,plain,
% 0.21/0.71 (P2(a1,f4(a2,a3))),
% 0.21/0.71 inference(scs_inference,[],[65,63,79,34,32,1,11,17])).
% 0.21/0.71 cnf(109,plain,
% 0.21/0.71 ($false),
% 0.21/0.71 inference(scs_inference,[],[63,67,65,91,89,6,83,24,17,9,11]),
% 0.21/0.71 ['proof']).
% 0.21/0.71 % SZS output end Proof
% 0.21/0.71 % Total time :0.080000s
%------------------------------------------------------------------------------