%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT019-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 04:40:18 EDT 2024
% Result : Unsatisfiable 0.15s 0.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CAT019-2 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n015.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 : Tue Jun 18 12:29:24 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.47 start to proof:theBenchmark
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 % File :CSE---1.7
% 0.15/0.52 % Problem :theBenchmark
% 0.15/0.52 % Transform :cnf
% 0.15/0.52 % Format :tptp:raw
% 0.15/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.52
% 0.15/0.52 % Result :Theorem 0.000000s
% 0.15/0.52 % Output :CNFRefutation 0.000000s
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 %--------------------------------------------------------------------------
% 0.15/0.52 % File : CAT019-2 : TPTP v8.2.0. Released v1.0.0.
% 0.15/0.52 % Domain : Category Theory
% 0.15/0.52 % Problem : Axiom of Indiscernibles
% 0.15/0.52 % Version : [Qua89] (equality) axioms.
% 0.15/0.52 % English : [all z (x=z <-> y=z)] -> x=y.
% 0.15/0.52
% 0.15/0.52 % Refs : [Qua89] Quaife (1989), Email to L. Wos
% 0.15/0.52 % Source : [ANL]
% 0.15/0.52 % Names : p15.ver2.in [ANL]
% 0.15/0.52
% 0.15/0.52 % Status : Unsatisfiable
% 0.15/0.52 % Rating : 0.00 v6.3.0, 0.10 v6.2.0, 0.20 v6.1.0, 0.09 v6.0.0, 0.00 v2.0.0
% 0.15/0.52 % Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 6 RR)
% 0.15/0.52 % Number of literals : 16 ( 16 equ; 7 neg)
% 0.15/0.52 % Maximal clause size : 3 ( 1 avg)
% 0.15/0.52 % Maximal term depth : 3 ( 2 avg)
% 0.15/0.52 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.15/0.52 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.15/0.52 % Number of variables : 13 ( 0 sgn)
% 0.15/0.52 % SPC : CNF_UNS_RFO_PEQ_NUE
% 0.15/0.52
% 0.15/0.52 % Comments :
% 0.15/0.52 %--------------------------------------------------------------------------
% 0.15/0.52 %----Include Quaife's axioms for category theory
% 0.15/0.52 include('Axioms/CAT002-0.ax').
% 0.15/0.52 %--------------------------------------------------------------------------
% 0.15/0.52 %----c1 and c2 are Skolem functors
% 0.15/0.52 cnf(equality_to_c1_and_c2_1,hypothesis,
% 0.15/0.52 ( c2 != Z
% 0.15/0.52 | c1 = Z ) ).
% 0.15/0.52
% 0.15/0.52 cnf(equality_to_c1_and_c2_2,hypothesis,
% 0.15/0.52 ( c2 = Z
% 0.15/0.52 | c1 != Z ) ).
% 0.15/0.52
% 0.15/0.52 cnf(prove_c1_equals_c2,negated_conjecture,
% 0.15/0.52 c2 != c1 ).
% 0.15/0.52
% 0.15/0.52 %--------------------------------------------------------------------------
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 % Proof found
% 0.15/0.52 % SZS status Theorem for theBenchmark
% 0.15/0.52 % SZS output start Proof
% 0.15/0.52 %ClaNum:17(EqnAxiom:7)
% 0.15/0.52 %VarNum:34(SingletonVarNum:13)
% 0.15/0.52 %MaxLitNum:3
% 0.15/0.52 %MaxfuncDepth:2
% 0.15/0.52 %SharedTerms:3
% 0.15/0.52 %goalClause: 12
% 0.15/0.52 %singleGoalClaCount:1
% 0.15/0.52 [12]~E(a2,a3)
% 0.15/0.52 [8]E(f4(f1(x81)),f1(x81))
% 0.15/0.52 [9]E(f1(f4(x91)),f4(x91))
% 0.15/0.52 [10]E(f5(x101,f1(x101)),x101)
% 0.15/0.52 [11]E(f5(f4(x111),x111),x111)
% 0.15/0.52 [13]~E(a2,x131)+E(a3,x131)
% 0.15/0.52 [14]~E(a3,x141)+E(a2,x141)
% 0.15/0.52 [15]~E(f1(x151),f4(x152))+E(f4(f5(x151,x152)),f4(x151))
% 0.15/0.52 [16]~E(f1(x161),f4(x162))+E(f1(f5(x161,x162)),f1(x162))
% 0.15/0.52 [17]~E(f1(x172),f4(x173))+~E(f1(x171),f4(x172))+E(f5(f5(x171,x172),x173),f5(x171,f5(x172,x173)))
% 0.15/0.52 %EqnAxiom
% 0.15/0.52 [1]E(x11,x11)
% 0.15/0.52 [2]E(x22,x21)+~E(x21,x22)
% 0.15/0.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.15/0.52 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.15/0.52 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.15/0.52 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.15/0.52 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.15/0.52
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 cnf(19,plain,
% 0.15/0.52 (E(a2,a3)),
% 0.15/0.52 inference(equality_inference,[],[14])).
% 0.15/0.52 cnf(20,plain,
% 0.15/0.52 ($false),
% 0.15/0.52 inference(scs_inference,[],[12,19]),
% 0.15/0.52 ['proof']).
% 0.15/0.52 % SZS output end Proof
% 0.15/0.52 % Total time :0.000000s
%------------------------------------------------------------------------------