TSTP Solution File: GEO181+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO181+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 0.55s 0.80s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO181+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n021.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 22:40:29 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.55/0.80 %-------------------------------------------
% 0.55/0.80 % File :CSE---1.6
% 0.55/0.80 % Problem :theBenchmark
% 0.55/0.80 % Transform :cnf
% 0.55/0.80 % Format :tptp:raw
% 0.55/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.80
% 0.55/0.80 % Result :Theorem 0.180000s
% 0.55/0.80 % Output :CNFRefutation 0.180000s
% 0.55/0.80 %-------------------------------------------
% 0.55/0.80 %------------------------------------------------------------------------------
% 0.55/0.80 % File : GEO181+2 : TPTP v8.1.2. Released v3.3.0.
% 0.55/0.80 % Domain : Geometry (Constructive)
% 0.55/0.80 % Problem : Triangle axiom 2
% 0.55/0.80 % Version : [vPl95] axioms : Reduced > Especial.
% 0.55/0.80 % English : If X and Y are distinct points and Z is apart from the line
% 0.55/0.80 % connecting X and Y, then Y is apart from the line connecting
% 0.55/0.80 % X and Z.
% 0.55/0.80
% 0.55/0.80 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.55/0.80 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.55/0.80 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.55/0.80 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.80 % Source : [ILTP]
% 0.55/0.80 % Names :
% 0.55/0.80
% 0.55/0.80 % Status : Theorem
% 0.55/0.80 % 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, 0.14 v3.5.0, 0.00 v3.3.0
% 0.55/0.80 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.55/0.80 % Number of atoms : 37 ( 0 equ)
% 0.55/0.80 % Maximal formula atoms : 6 ( 2 avg)
% 0.55/0.80 % Number of connectives : 27 ( 3 ~; 9 |; 2 &)
% 0.55/0.80 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.55/0.80 % Maximal formula depth : 9 ( 6 avg)
% 0.55/0.80 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.80 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.55/0.80 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.55/0.80 % Number of variables : 33 ( 33 !; 0 ?)
% 0.55/0.80 % SPC : FOF_THM_RFO_NEQ
% 0.55/0.80
% 0.55/0.80 % Comments : Definitions unfolded, hence Especial.
% 0.55/0.80 %------------------------------------------------------------------------------
% 0.55/0.80 include('Axioms/GEO008+0.ax').
% 0.55/0.80 %------------------------------------------------------------------------------
% 0.55/0.80 fof(con,conjecture,
% 0.55/0.80 ! [X,Y,Z] :
% 0.55/0.80 ( distinct_points(X,Y)
% 0.55/0.80 => ( apart_point_and_line(Z,line_connecting(X,Y))
% 0.55/0.80 => apart_point_and_line(Y,line_connecting(X,Z)) ) ) ).
% 0.55/0.80
% 0.55/0.80 %------------------------------------------------------------------------------
% 0.55/0.80 %-------------------------------------------
% 0.55/0.80 % Proof found
% 0.55/0.80 % SZS status Theorem for theBenchmark
% 0.55/0.80 % SZS output start Proof
% 0.55/0.80 %ClaNum:17(EqnAxiom:0)
% 0.55/0.80 %VarNum:80(SingletonVarNum:36)
% 0.55/0.80 %MaxLitNum:6
% 0.55/0.81 %MaxfuncDepth:1
% 0.55/0.81 %SharedTerms:8
% 0.55/0.81 %goalClause: 1 2 6
% 0.55/0.81 %singleGoalClaCount:3
% 0.55/0.81 [1]P1(a1,a2)
% 0.55/0.81 [2]P2(a3,f4(a1,a2))
% 0.55/0.81 [6]~P2(a2,f4(a1,a3))
% 0.55/0.81 [3]~P1(x31,x31)
% 0.55/0.81 [4]~P3(x41,x41)
% 0.55/0.81 [5]~P4(x51,x51)
% 0.55/0.81 [7]~P4(x71,x72)+P3(x71,x72)
% 0.55/0.81 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 0.55/0.81 [9]~P2(x91,x93)+P1(x91,x92)+P2(x92,x93)
% 0.55/0.81 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 0.55/0.81 [11]~P2(x113,x111)+P3(x111,x112)+P2(x113,x112)
% 0.55/0.81 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.55/0.81 [13]~P4(x132,x133)+~P2(x131,x133)+P1(x131,f5(x132,x133))
% 0.55/0.81 [14]~P4(x142,x143)+~P2(x141,x142)+P1(x141,f5(x142,x143))
% 0.55/0.81 [15]P1(x151,x152)+~P1(x153,x152)+~P2(x151,f4(x153,x152))
% 0.55/0.81 [16]P1(x161,x162)+~P1(x162,x163)+~P2(x161,f4(x162,x163))
% 0.55/0.81 [17]P2(x174,x173)+~P1(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.55/0.81 %EqnAxiom
% 0.55/0.81
% 0.55/0.81 %-------------------------------------------
% 0.55/0.81 cnf(18,plain,
% 0.55/0.81 (P1(a2,a1)),
% 0.55/0.81 inference(scs_inference,[],[1,3,8])).
% 0.55/0.81 cnf(20,plain,
% 0.55/0.81 (P1(a3,a1)),
% 0.55/0.81 inference(scs_inference,[],[1,3,2,8,16])).
% 0.55/0.81 cnf(22,plain,
% 0.55/0.81 (P1(a3,a2)),
% 0.55/0.81 inference(scs_inference,[],[1,3,2,8,16,15])).
% 0.55/0.81 cnf(28,plain,
% 0.55/0.81 (~P2(a1,f4(a1,a2))),
% 0.55/0.81 inference(scs_inference,[],[1,3,16])).
% 0.55/0.81 cnf(29,plain,
% 0.55/0.81 (~P1(x291,x291)),
% 0.55/0.81 inference(rename_variables,[],[3])).
% 0.55/0.81 cnf(31,plain,
% 0.55/0.81 (~P2(a2,f4(a1,a2))),
% 0.55/0.81 inference(scs_inference,[],[1,3,29,16,15])).
% 0.55/0.81 cnf(34,plain,
% 0.55/0.81 (P2(a1,f4(a1,a3))+~P3(f4(a1,a3),f4(a1,a2))),
% 0.55/0.81 inference(scs_inference,[],[1,6,3,29,16,15,17])).
% 0.55/0.81 cnf(36,plain,
% 0.55/0.81 (~P4(f4(a1,a3),f4(a1,a2))+P2(a1,f4(a1,a3))),
% 0.55/0.81 inference(scs_inference,[],[1,6,3,29,16,15,17,7])).
% 0.55/0.81 cnf(47,plain,
% 0.55/0.81 (~P2(a2,f4(a2,a1))),
% 0.55/0.81 inference(scs_inference,[],[18,3,16])).
% 0.55/0.81 cnf(48,plain,
% 0.55/0.81 (~P1(x481,x481)),
% 0.55/0.81 inference(rename_variables,[],[3])).
% 0.55/0.81 cnf(50,plain,
% 0.55/0.81 (~P2(a1,f4(a2,a1))),
% 0.55/0.81 inference(scs_inference,[],[18,3,48,16,15])).
% 0.55/0.81 cnf(53,plain,
% 0.55/0.81 (~P2(a3,f4(a3,a1))),
% 0.55/0.81 inference(scs_inference,[],[3,20,16])).
% 0.55/0.81 cnf(54,plain,
% 0.55/0.81 (~P1(x541,x541)),
% 0.55/0.81 inference(rename_variables,[],[3])).
% 0.55/0.81 cnf(56,plain,
% 0.55/0.81 (~P2(a1,f4(a3,a1))),
% 0.55/0.81 inference(scs_inference,[],[3,54,20,16,15])).
% 0.55/0.81 cnf(59,plain,
% 0.55/0.81 (P3(f4(a1,a2),f4(a3,a1))),
% 0.55/0.81 inference(scs_inference,[],[53,2,11])).
% 0.55/0.81 cnf(66,plain,
% 0.55/0.81 (P1(a2,a3)),
% 0.55/0.81 inference(scs_inference,[],[4,20,31,59,28,56,1,10,17,16])).
% 0.55/0.81 cnf(72,plain,
% 0.55/0.81 (~P2(a3,f4(a3,a2))),
% 0.55/0.81 inference(scs_inference,[],[3,22,16])).
% 0.55/0.81 cnf(73,plain,
% 0.55/0.81 (~P1(x731,x731)),
% 0.55/0.81 inference(rename_variables,[],[3])).
% 0.55/0.81 cnf(75,plain,
% 0.55/0.81 (~P2(a2,f4(a3,a2))),
% 0.55/0.81 inference(scs_inference,[],[3,73,22,16,15])).
% 0.55/0.81 cnf(94,plain,
% 0.55/0.81 (P1(a1,a3)),
% 0.55/0.81 inference(scs_inference,[],[20,3,8])).
% 0.55/0.81 cnf(100,plain,
% 0.55/0.81 (~P4(f4(a1,a3),f4(a1,a2))),
% 0.55/0.81 inference(scs_inference,[],[94,3,16,36])).
% 0.55/0.81 cnf(101,plain,
% 0.55/0.81 (~P3(f4(a1,a3),f4(a1,a2))),
% 0.55/0.81 inference(scs_inference,[],[94,3,16,36,34])).
% 0.55/0.81 cnf(104,plain,
% 0.55/0.81 (~P2(a3,f4(a1,a3))),
% 0.55/0.81 inference(scs_inference,[],[94,3,15])).
% 0.55/0.81 cnf(111,plain,
% 0.55/0.81 (~P3(f4(a1,a2),f4(a2,a1))),
% 0.55/0.81 inference(scs_inference,[],[28,50,47,31,18,100,5,12,17])).
% 0.55/0.81 cnf(113,plain,
% 0.55/0.81 (P3(f4(a1,a2),f4(a3,a2))),
% 0.55/0.81 inference(scs_inference,[],[28,50,47,31,72,18,100,5,2,12,17,11])).
% 0.55/0.81 cnf(116,plain,
% 0.55/0.81 (P2(a3,f4(a2,a1))),
% 0.55/0.81 inference(scs_inference,[],[111,2,11])).
% 0.55/0.81 cnf(173,plain,
% 0.55/0.81 (P3(f4(a2,a1),f4(a1,a3))),
% 0.55/0.81 inference(scs_inference,[],[104,113,116,4,10,11])).
% 0.55/0.81 cnf(175,plain,
% 0.55/0.81 (P3(f4(a2,a1),f4(a1,a2))),
% 0.55/0.81 inference(scs_inference,[],[101,173,10])).
% 0.55/0.81 cnf(181,plain,
% 0.55/0.81 ($false),
% 0.55/0.81 inference(scs_inference,[],[175,75,72,6,66,111,104,4,17,10]),
% 0.55/0.81 ['proof']).
% 0.55/0.81 % SZS output end Proof
% 0.55/0.81 % Total time :0.180000s
%------------------------------------------------------------------------------