TSTP Solution File: SEU148+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 : Thu Aug 31 16:17:52 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/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 : Wed Aug 23 16:39:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.010000s
% 0.19/0.61 % Output :CNFRefutation 0.010000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.62 % Domain : Set theory
% 0.19/0.62 % Problem : Basic properties of sets, theorem 6
% 0.19/0.62 % Version : [Urb06] axioms : Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.19/0.62 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.19/0.62 % Source : [Urb06]
% 0.19/0.62 % Names : zfmisc_1__t6_zfmisc_1 [Urb06]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % Rating : 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.30 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.14 v3.2.0
% 0.19/0.62 % Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% 0.19/0.62 % Number of atoms : 15 ( 6 equ)
% 0.19/0.62 % Maximal formula atoms : 3 ( 1 avg)
% 0.19/0.62 % Number of connectives : 9 ( 3 ~; 1 |; 0 &)
% 0.19/0.62 % ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 6 ( 4 avg)
% 0.19/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.62 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 0.19/0.62 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.19/0.62 % Number of variables : 14 ( 12 !; 2 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_SEQ
% 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(antisymmetry_r2_hidden,axiom,
% 0.19/0.62 ! [A,B] :
% 0.19/0.62 ( in(A,B)
% 0.19/0.62 => ~ in(B,A) ) ).
% 0.19/0.62
% 0.19/0.62 fof(d1_tarski,axiom,
% 0.19/0.62 ! [A,B] :
% 0.19/0.62 ( B = singleton(A)
% 0.19/0.62 <=> ! [C] :
% 0.19/0.62 ( in(C,B)
% 0.19/0.62 <=> C = A ) ) ).
% 0.19/0.62
% 0.19/0.62 fof(fc1_xboole_0,axiom,
% 0.19/0.62 empty(empty_set) ).
% 0.19/0.62
% 0.19/0.62 fof(l1_zfmisc_1,axiom,
% 0.19/0.62 ! [A] : singleton(A) != empty_set ).
% 0.19/0.62
% 0.19/0.62 fof(l4_zfmisc_1,axiom,
% 0.19/0.62 ! [A,B] :
% 0.19/0.62 ( subset(A,singleton(B))
% 0.19/0.62 <=> ( A = empty_set
% 0.19/0.62 | A = singleton(B) ) ) ).
% 0.19/0.62
% 0.19/0.62 fof(rc1_xboole_0,axiom,
% 0.19/0.62 ? [A] : empty(A) ).
% 0.19/0.62
% 0.19/0.62 fof(rc2_xboole_0,axiom,
% 0.19/0.62 ? [A] : ~ empty(A) ).
% 0.19/0.62
% 0.19/0.62 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.62 ! [A,B] : subset(A,A) ).
% 0.19/0.62
% 0.19/0.62 fof(t6_zfmisc_1,conjecture,
% 0.19/0.62 ! [A,B] :
% 0.19/0.62 ( subset(singleton(A),singleton(B))
% 0.19/0.62 => A = B ) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:26(EqnAxiom:11)
% 0.19/0.62 %VarNum:47(SingletonVarNum:20)
% 0.19/0.62 %MaxLitNum:3
% 0.19/0.62 %MaxfuncDepth:1
% 0.19/0.62 %SharedTerms:12
% 0.19/0.62 %goalClause: 15 16
% 0.19/0.62 %singleGoalClaCount:2
% 0.19/0.62 [12]P1(a1)
% 0.19/0.62 [13]P1(a2)
% 0.19/0.62 [16]~E(a7,a4)
% 0.19/0.62 [17]~P1(a5)
% 0.19/0.62 [15]P2(f6(a4),f6(a7))
% 0.19/0.62 [14]P2(x141,x141)
% 0.19/0.62 [18]~E(f6(x181),a1)
% 0.19/0.62 [24]~P3(x242,x241)+~P3(x241,x242)
% 0.19/0.62 [19]~E(x191,a1)+P2(x191,f6(x192))
% 0.19/0.62 [21]P2(x211,f6(x212))+~E(x211,f6(x212))
% 0.19/0.62 [23]E(x231,a1)+E(x231,f6(x232))+~P2(x231,f6(x232))
% 0.19/0.62 [25]E(f3(x252,x251),x252)+P3(f3(x252,x251),x251)+E(x251,f6(x252))
% 0.19/0.62 [26]~E(f3(x262,x261),x262)+~P3(f3(x262,x261),x261)+E(x261,f6(x262))
% 0.19/0.62 [20]P3(x201,x202)+~E(x201,x203)+~E(x202,f6(x203))
% 0.19/0.62 [22]~P3(x221,x223)+E(x221,x222)+~E(x223,f6(x222))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62 [1]E(x11,x11)
% 0.19/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.62 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.19/0.62 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.19/0.62 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.19/0.62 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.19/0.62 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83)
% 0.19/0.62 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91)
% 0.19/0.62 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103)
% 0.19/0.62 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111)
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(27,plain,
% 0.19/0.62 (E(f6(a4),f6(a7))),
% 0.19/0.62 inference(scs_inference,[],[15,18,23])).
% 0.19/0.62 cnf(29,plain,
% 0.19/0.62 (~E(a4,a7)),
% 0.19/0.62 inference(scs_inference,[],[15,16,18,23,2])).
% 0.19/0.62 cnf(33,plain,
% 0.19/0.62 (~P3(a7,x331)+~E(x331,f6(a4))),
% 0.19/0.62 inference(scs_inference,[],[15,16,12,17,18,23,2,7,3,9,22])).
% 0.19/0.62 cnf(37,plain,
% 0.19/0.62 (~P3(a7,f6(a4))),
% 0.19/0.62 inference(equality_inference,[],[33])).
% 0.19/0.62 cnf(43,plain,
% 0.19/0.62 (E(f6(a7),f6(a4))),
% 0.19/0.62 inference(scs_inference,[],[14,27,37,29,10,22,20,2])).
% 0.19/0.62 cnf(48,plain,
% 0.19/0.62 (~P3(a4,f6(a7))),
% 0.19/0.62 inference(scs_inference,[],[14,13,17,27,37,29,10,22,20,2,7,33,8,9])).
% 0.19/0.62 cnf(69,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[48,43,20]),
% 0.19/0.62 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.010000s
%------------------------------------------------------------------------------