%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO002-4 : TPTP v8.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 06:03:11 EDT 2024
% Result : Unsatisfiable 58.63s 58.95s
% Output : CNFRefutation 58.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO002-4 : TPTP v8.2.0. Released v1.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 09:03:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 58.63/58.93 %-------------------------------------------
% 58.63/58.93 % File :CSE---1.7
% 58.63/58.93 % Problem :theBenchmark
% 58.63/58.93 % Transform :cnf
% 58.63/58.93 % Format :tptp:raw
% 58.63/58.93 % Command :java -jar mcs_scs.jar %d %s
% 58.63/58.93
% 58.63/58.93 % Result :Theorem 58.060000s
% 58.63/58.93 % Output :CNFRefutation 58.060000s
% 58.63/58.93 %-------------------------------------------
% 58.63/58.94 %--------------------------------------------------------------------------
% 58.63/58.94 % File : GEO002-4 : TPTP v8.2.0. Released v1.1.0.
% 58.63/58.94 % Domain : Geometry
% 58.63/58.94 % Problem : For all points x and y, x is between x and y
% 58.63/58.94 % Version : [MOW76] axioms : Reduced > Incomplete.
% 58.63/58.94 % English :
% 58.63/58.94
% 58.63/58.94 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 58.63/58.94 % : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr
% 58.63/58.94 % Source : [ANL]
% 58.63/58.94 % Names : Simple Theorem on Betweenness [Wos88]
% 58.63/58.94
% 58.63/58.94 % Status : Unsatisfiable
% 58.63/58.94 % Rating : 0.00 v6.1.0, 0.14 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.22 v5.3.0, 0.25 v5.2.0, 0.08 v5.1.0, 0.19 v5.0.0, 0.20 v4.0.1, 0.14 v3.4.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.44 v2.2.0, 0.33 v2.1.0, 0.29 v2.0.0
% 58.63/58.94 % Syntax : Number of clauses : 8 ( 3 unt; 0 nHn; 6 RR)
% 58.63/58.94 % Number of literals : 17 ( 0 equ; 10 neg)
% 58.63/58.94 % Maximal clause size : 3 ( 2 avg)
% 58.63/58.94 % Maximal term depth : 2 ( 1 avg)
% 58.63/58.94 % Number of predicates : 3 ( 3 usr; 0 prp; 2-4 aty)
% 58.63/58.94 % Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% 58.63/58.94 % Number of variables : 29 ( 3 sgn)
% 58.63/58.94 % SPC : CNF_UNS_RFO_NEQ_HRN
% 58.63/58.94
% 58.63/58.94 % Comments :
% 58.63/58.94 %--------------------------------------------------------------------------
% 58.63/58.95 %----Include Tarski geometry axioms
% 58.63/58.95 % include('Axioms/GEO001-0.ax').
% 58.63/58.95 %--------------------------------------------------------------------------
% 58.63/58.95 cnf(transitivity_for_betweeness,axiom,
% 58.63/58.95 ( ~ between(X,Y,V)
% 58.63/58.95 | ~ between(Y,Z,V)
% 58.63/58.95 | between(X,Y,Z) ) ).
% 58.63/58.95
% 58.63/58.95 cnf(identity_for_equidistance,axiom,
% 58.63/58.95 ( ~ equidistant(X,Y,Z,Z)
% 58.63/58.95 | equalish(X,Y) ) ).
% 58.63/58.95
% 58.63/58.95 cnf(outer_pasch1,axiom,
% 58.63/58.95 ( ~ between(X,W,V)
% 58.63/58.95 | ~ between(Y,V,Z)
% 58.63/58.95 | between(X,outer_pasch(W,X,Y,Z,V),Y) ) ).
% 58.63/58.95
% 58.63/58.95 cnf(outer_pasch2,axiom,
% 58.63/58.95 ( ~ between(X,W,V)
% 58.63/58.95 | ~ between(Y,V,Z)
% 58.63/58.95 | between(Z,W,outer_pasch(W,X,Y,Z,V)) ) ).
% 58.63/58.95
% 58.63/58.95 cnf(segment_construction1,axiom,
% 58.63/58.95 between(X,Y,extension(X,Y,W,V)) ).
% 58.63/58.95
% 58.63/58.95 cnf(segment_construction2,axiom,
% 58.63/58.95 equidistant(Y,extension(X,Y,W,V),W,V) ).
% 58.63/58.95
% 58.63/58.95 %----Equality substitution axioms
% 58.63/58.95 cnf(between_substitution3,axiom,
% 58.63/58.95 ( ~ equalish(X,Y)
% 58.63/58.95 | ~ between(W,Z,X)
% 58.63/58.95 | between(W,Z,Y) ) ).
% 58.63/58.95
% 58.63/58.95 cnf(prove_a_between_a_and_b,negated_conjecture,
% 58.63/58.95 ~ between(a,a,b) ).
% 58.63/58.95
% 58.63/58.95 %--------------------------------------------------------------------------
% 58.63/58.95 %-------------------------------------------
% 58.63/58.95 % Proof found
% 58.63/58.95 % SZS status Theorem for theBenchmark
% 58.63/58.95 % SZS output start Proof
% 58.63/58.96 %ClaNum:8(EqnAxiom:0)
% 58.63/58.96 %VarNum:62(SingletonVarNum:29)
% 58.63/58.96 %MaxLitNum:3
% 58.63/58.96 %MaxfuncDepth:1
% 58.63/58.96 %SharedTerms:3
% 58.63/58.96 %goalClause: 3
% 58.63/58.96 %singleGoalClaCount:1
% 58.63/58.96 [3]~P1(a2,a2,a3)
% 58.63/58.96 [1]P1(x11,x12,f1(x11,x12,x13,x14))
% 58.63/58.96 [2]P2(x21,f1(x22,x21,x23,x24),x23,x24)
% 58.63/58.96 [6]~P2(x61,x62,x63,x63)+P3(x61,x62)
% 58.63/58.96 [4]~P1(x41,x42,x44)+P1(x41,x42,x43)+~P3(x44,x43)
% 58.63/58.96 [5]~P1(x51,x52,x54)+P1(x51,x52,x53)+~P1(x52,x53,x54)
% 58.63/58.96 [7]~P1(x74,x75,x71)+~P1(x73,x72,x75)+P1(x71,x72,f4(x72,x73,x74,x71,x75))
% 58.63/58.96 [8]~P1(x83,x85,x84)+~P1(x81,x82,x85)+P1(x81,f4(x82,x81,x83,x84,x85),x83)
% 58.63/58.96 %EqnAxiom
% 58.63/58.96
% 58.63/58.96 %-------------------------------------------
% 58.68/59.06 cnf(9,plain,
% 58.68/59.06 (P1(x91,x91,x91)),
% 58.68/59.06 inference(scs_inference,[],[1,5])).
% 58.68/59.06 cnf(15,plain,
% 58.68/59.06 (P1(x151,x151,f1(x152,x151,x153,x153))),
% 58.68/59.06 inference(scs_inference,[],[2,9,6,4])).
% 58.68/59.06 cnf(20,plain,
% 58.68/59.06 (P1(x201,x202,x202)),
% 58.68/59.06 inference(scs_inference,[],[1,15,5])).
% 58.68/59.06 cnf(24,plain,
% 58.68/59.06 (~P3(a2,a3)),
% 58.68/59.06 inference(scs_inference,[],[3,1,4,5])).
% 58.68/59.06 cnf(27,plain,
% 58.68/59.06 (~P1(a2,a2,f1(a2,a3,x271,x272))),
% 58.68/59.06 inference(scs_inference,[],[1,3,24,6,5])).
% 58.68/59.06 cnf(39,plain,
% 58.68/59.06 (~P3(f4(a2,x391,x391,a2,a2),a3)),
% 58.68/59.06 inference(scs_inference,[],[3,20,4,7])).
% 58.68/59.06 cnf(9992,plain,
% 58.68/59.06 (~P3(f1(x99921,a2,x99922,x99922),a3)),
% 58.68/59.06 inference(scs_inference,[],[3,15,39,6,4])).
% 58.68/59.06 cnf(154548,plain,
% 58.68/59.06 (~P3(x1545481,x1545482)+P1(x1545481,f4(x1545483,x1545481,x1545481,x1545483,x1545483),x1545482)),
% 58.68/59.06 inference(scs_inference,[],[20,4,8])).
% 58.68/59.06 cnf(154559,plain,
% 58.68/59.06 (P1(x1545591,f4(x1545592,x1545591,x1545591,x1545592,x1545592),f1(x1545593,x1545591,x1545594,x1545594))),
% 58.68/59.06 inference(scs_inference,[],[2,154548,6])).
% 58.68/59.06 cnf(154568,plain,
% 58.68/59.06 (P1(x1545681,f4(x1545682,x1545681,x1545681,x1545682,x1545682),x1545681)),
% 58.68/59.06 inference(scs_inference,[],[9992,154559,1,6,5])).
% 58.68/59.06 cnf(154574,plain,
% 58.68/59.06 (P1(x1545741,x1545742,f4(x1545743,x1545742,x1545742,x1545743,x1545743))),
% 58.68/59.06 inference(scs_inference,[],[9992,154568,20,6,5])).
% 58.68/59.06 cnf(155031,plain,
% 58.68/59.06 ($false),
% 58.68/59.06 inference(scs_inference,[],[20,27,154574,7,5]),
% 58.68/59.06 ['proof']).
% 58.89/59.15 % SZS output end Proof
% 58.89/59.15 % Total time :58.060000s
%------------------------------------------------------------------------------