TSTP Solution File: SEU275+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU275+1 : 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 : 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 : Thu Aug 31 16:18:54 EDT 2023
% Result : Theorem 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n024.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 : Wed Aug 23 14:08:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % File :CSE---1.6
% 0.19/0.62 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.000000s
% 0.19/0.62 % Output :CNFRefutation 0.000000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.62 % Domain : Set theory
% 0.19/0.62 % Problem : MPTP bushy problem t7_wellord2
% 0.19/0.62 % Version : [Urb07] axioms : Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.62 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.62 % Source : [Urb07]
% 0.19/0.62 % Names : bushy-t7_wellord2 [Urb07]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.00 v3.3.0
% 0.19/0.62 % Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% 0.19/0.62 % Number of atoms : 26 ( 0 equ)
% 0.19/0.62 % Maximal formula atoms : 7 ( 2 avg)
% 0.19/0.62 % Number of connectives : 15 ( 0 ~; 0 |; 8 &)
% 0.19/0.62 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 8 ( 3 avg)
% 0.19/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.62 % Number of predicates : 10 ( 10 usr; 0 prp; 1-1 aty)
% 0.19/0.62 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.19/0.62 % Number of variables : 11 ( 10 !; 1 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.62
% 0.19/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.62 % library, www.mizar.org
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 fof(cc1_ordinal1,axiom,
% 0.19/0.62 ! [A] :
% 0.19/0.62 ( ordinal(A)
% 0.19/0.62 => ( epsilon_transitive(A)
% 0.19/0.62 & epsilon_connected(A) ) ) ).
% 0.19/0.62
% 0.19/0.62 fof(cc2_ordinal1,axiom,
% 0.19/0.62 ! [A] :
% 0.19/0.62 ( ( epsilon_transitive(A)
% 0.19/0.62 & epsilon_connected(A) )
% 0.19/0.62 => ordinal(A) ) ).
% 0.19/0.62
% 0.19/0.62 fof(d4_wellord1,axiom,
% 0.19/0.62 ! [A] :
% 0.19/0.62 ( relation(A)
% 0.19/0.62 => ( well_ordering(A)
% 0.19/0.62 <=> ( reflexive(A)
% 0.19/0.62 & transitive(A)
% 0.19/0.62 & antisymmetric(A)
% 0.19/0.62 & connected(A)
% 0.19/0.62 & well_founded_relation(A) ) ) ) ).
% 0.19/0.63
% 0.19/0.63 fof(dt_k1_wellord2,axiom,
% 0.19/0.63 ! [A] : relation(inclusion_relation(A)) ).
% 0.19/0.63
% 0.19/0.63 fof(rc1_ordinal1,axiom,
% 0.19/0.63 ? [A] :
% 0.19/0.63 ( epsilon_transitive(A)
% 0.19/0.63 & epsilon_connected(A)
% 0.19/0.63 & ordinal(A) ) ).
% 0.19/0.63
% 0.19/0.63 fof(t2_wellord2,axiom,
% 0.19/0.63 ! [A] : reflexive(inclusion_relation(A)) ).
% 0.19/0.63
% 0.19/0.63 fof(t3_wellord2,axiom,
% 0.19/0.63 ! [A] : transitive(inclusion_relation(A)) ).
% 0.19/0.63
% 0.19/0.63 fof(t4_wellord2,axiom,
% 0.19/0.63 ! [A] :
% 0.19/0.63 ( ordinal(A)
% 0.19/0.63 => connected(inclusion_relation(A)) ) ).
% 0.19/0.63
% 0.19/0.63 fof(t5_wellord2,axiom,
% 0.19/0.63 ! [A] : antisymmetric(inclusion_relation(A)) ).
% 0.19/0.63
% 0.19/0.63 fof(t6_wellord2,axiom,
% 0.19/0.63 ! [A] :
% 0.19/0.63 ( ordinal(A)
% 0.19/0.63 => well_founded_relation(inclusion_relation(A)) ) ).
% 0.19/0.63
% 0.19/0.63 fof(t7_wellord2,conjecture,
% 0.19/0.63 ! [A] :
% 0.19/0.63 ( ordinal(A)
% 0.19/0.63 => well_ordering(inclusion_relation(A)) ) ).
% 0.19/0.63
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark
% 0.19/0.63 % SZS output start Proof
% 0.19/0.63 %ClaNum:20(EqnAxiom:0)
% 0.19/0.63 %VarNum:37(SingletonVarNum:15)
% 0.19/0.63 %MaxLitNum:7
% 0.19/0.63 %MaxfuncDepth:1
% 0.19/0.63 %SharedTerms:8
% 0.19/0.63 %goalClause: 2 9
% 0.19/0.63 %singleGoalClaCount:2
% 0.19/0.63 [1]P1(a1)
% 0.19/0.63 [2]P1(a2)
% 0.19/0.63 [3]P2(a1)
% 0.19/0.63 [4]P3(a1)
% 0.19/0.63 [9]~P9(f3(a2))
% 0.19/0.63 [5]P6(f3(x51))
% 0.19/0.63 [6]P7(f3(x61))
% 0.19/0.63 [7]P8(f3(x71))
% 0.19/0.63 [8]P4(f3(x81))
% 0.19/0.63 [10]~P1(x101)+P2(x101)
% 0.19/0.63 [11]~P1(x111)+P3(x111)
% 0.19/0.63 [12]~P1(x121)+P5(f3(x121))
% 0.19/0.63 [13]~P1(x131)+P10(f3(x131))
% 0.19/0.63 [14]~P2(x141)+~P3(x141)+P1(x141)
% 0.19/0.63 [15]~P6(x151)+~P9(x151)+P7(x151)
% 0.19/0.63 [16]~P6(x161)+~P9(x161)+P8(x161)
% 0.19/0.63 [17]~P6(x171)+~P9(x171)+P4(x171)
% 0.19/0.63 [18]~P6(x181)+~P9(x181)+P5(x181)
% 0.19/0.63 [19]~P6(x191)+~P9(x191)+P10(x191)
% 0.19/0.63 [20]~P6(x201)+~P7(x201)+~P8(x201)+~P4(x201)+~P5(x201)+~P10(x201)+P9(x201)
% 0.19/0.63 %EqnAxiom
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 cnf(27,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[2,9,5,6,7,8,11,10,13,12,20]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------