TSTP Solution File: SEU160+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 16:18:00 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
% 0.11/0.12 % Problem : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 15:16:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.010000s
% 0.19/0.63 % Output :CNFRefutation 0.010000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 % File : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.63 % Domain : Set theory
% 0.19/0.63 % Problem : Basic properties of sets, theorem 39
% 0.19/0.63 % Version : [Urb06] axioms : Especial.
% 0.19/0.63 % English :
% 0.19/0.63
% 0.19/0.63 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.19/0.63 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.19/0.63 % Source : [Urb06]
% 0.19/0.63 % Names : zfmisc_1__t39_zfmisc_1 [Urb06]
% 0.19/0.63
% 0.19/0.63 % Status : Theorem
% 0.19/0.63 % Rating : 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0
% 0.19/0.63 % Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% 0.19/0.63 % Number of atoms : 10 ( 4 equ)
% 0.19/0.63 % Maximal formula atoms : 3 ( 1 avg)
% 0.19/0.63 % Number of connectives : 5 ( 1 ~; 2 |; 0 &)
% 0.19/0.63 % ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.63 % Maximal formula depth : 5 ( 3 avg)
% 0.19/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.63 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.19/0.63 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.19/0.63 % Number of variables : 8 ( 6 !; 2 ?)
% 0.19/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.63
% 0.19/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.63 % library, www.mizar.org
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.63 ! [A,B] : subset(A,A) ).
% 0.19/0.63
% 0.19/0.63 fof(fc1_xboole_0,axiom,
% 0.19/0.63 empty(empty_set) ).
% 0.19/0.63
% 0.19/0.63 fof(rc1_xboole_0,axiom,
% 0.19/0.63 ? [A] : empty(A) ).
% 0.19/0.63
% 0.19/0.63 fof(rc2_xboole_0,axiom,
% 0.19/0.63 ? [A] : ~ empty(A) ).
% 0.19/0.63
% 0.19/0.63 fof(t39_zfmisc_1,conjecture,
% 0.19/0.63 ! [A,B] :
% 0.19/0.63 ( subset(A,singleton(B))
% 0.19/0.63 <=> ( A = empty_set
% 0.19/0.63 | A = singleton(B) ) ) ).
% 0.19/0.63
% 0.19/0.63 fof(l4_zfmisc_1,axiom,
% 0.19/0.63 ! [A,B] :
% 0.19/0.63 ( subset(A,singleton(B))
% 0.19/0.63 <=> ( A = empty_set
% 0.19/0.63 | A = singleton(B) ) ) ).
% 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
% 0.19/0.64 %ClaNum:17(EqnAxiom:7)
% 0.19/0.64 %VarNum:14(SingletonVarNum:7)
% 0.19/0.64 %MaxLitNum:3
% 0.19/0.64 %MaxfuncDepth:1
% 0.19/0.64 %SharedTerms:15
% 0.19/0.64 %goalClause: 12 14 16
% 0.19/0.64 [8]P1(a1)
% 0.19/0.64 [9]P1(a2)
% 0.19/0.64 [11]~P1(a3)
% 0.19/0.64 [10]P2(x101,x101)
% 0.19/0.64 [14]~E(a1,a4)+~P2(a4,f6(a5))
% 0.19/0.64 [16]~P2(a4,f6(a5))+~E(f6(a5),a4)
% 0.19/0.64 [13]~E(x131,a1)+P2(x131,f6(x132))
% 0.19/0.64 [15]P2(x151,f6(x152))+~E(x151,f6(x152))
% 0.19/0.64 [12]E(a1,a4)+E(f6(a5),a4)+P2(a4,f6(a5))
% 0.19/0.64 [17]E(x171,a1)+E(x171,f6(x172))+~P2(x171,f6(x172))
% 0.19/0.64 %EqnAxiom
% 0.19/0.64 [1]E(x11,x11)
% 0.19/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.64 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.19/0.64 [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.19/0.64 [6]P2(x62,x63)+~E(x61,x62)+~P2(x61,x63)
% 0.19/0.64 [7]P2(x73,x72)+~E(x71,x72)+~P2(x73,x71)
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(36,plain,
% 0.19/0.64 (P2(x361,x362)+~E(x362,x361)),
% 0.19/0.64 inference(scs_inference,[],[9,10,11,5,6])).
% 0.19/0.64 cnf(45,plain,
% 0.19/0.64 (~E(a1,x451)+P2(x451,f6(x452))),
% 0.19/0.64 inference(scs_inference,[],[13,2])).
% 0.19/0.64 cnf(46,plain,
% 0.19/0.64 (P2(a1,f6(x461))),
% 0.19/0.64 inference(equality_inference,[],[45])).
% 0.19/0.64 cnf(47,plain,
% 0.19/0.64 (~E(a4,a1)+~P2(a4,f6(a5))),
% 0.19/0.64 inference(scs_inference,[],[14,2])).
% 0.19/0.64 cnf(48,plain,
% 0.19/0.64 (E(a4,f6(x481))+~P2(a4,f6(x481))+~P2(a4,f6(a5))),
% 0.19/0.64 inference(scs_inference,[],[47,17])).
% 0.19/0.64 cnf(49,plain,
% 0.19/0.64 (~E(f6(a5),a4)),
% 0.19/0.64 inference(scs_inference,[],[16,36])).
% 0.19/0.64 cnf(50,plain,
% 0.19/0.64 (E(a1,a4)+P2(a4,f6(a5))),
% 0.19/0.64 inference(scs_inference,[],[49,12])).
% 0.19/0.64 cnf(54,plain,
% 0.19/0.64 (~P2(a4,f6(a5))),
% 0.19/0.64 inference(scs_inference,[],[49,2,48])).
% 0.19/0.64 cnf(56,plain,
% 0.19/0.64 (E(f6(a1),f6(a4))),
% 0.19/0.64 inference(scs_inference,[],[54,50,4])).
% 0.19/0.64 cnf(57,plain,
% 0.19/0.64 (E(a1,a4)),
% 0.19/0.64 inference(scs_inference,[],[54,50])).
% 0.19/0.64 cnf(61,plain,
% 0.19/0.64 (~E(a1,a4)),
% 0.19/0.64 inference(scs_inference,[],[46,54,56,36,6])).
% 0.19/0.64 cnf(69,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[61,57]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------