TSTP Solution File: SEU160+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU160+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 : n031.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 16:17:59 EDT 2023
% Result : Theorem 0.20s 0.70s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 20:52:50 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 % File :CSE---1.6
% 0.20/0.69 % Problem :theBenchmark
% 0.20/0.69 % Transform :cnf
% 0.20/0.69 % Format :tptp:raw
% 0.20/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.69
% 0.20/0.69 % Result :Theorem 0.050000s
% 0.20/0.69 % Output :CNFRefutation 0.050000s
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 %------------------------------------------------------------------------------
% 0.20/0.69 % File : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.69 % Domain : Set theory
% 0.20/0.69 % Problem : MPTP bushy problem t39_zfmisc_1
% 0.20/0.69 % Version : [Urb07] axioms : Especial.
% 0.20/0.69 % English :
% 0.20/0.69
% 0.20/0.69 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.20/0.69 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.20/0.69 % Source : [Urb07]
% 0.20/0.69 % Names : bushy-t39_zfmisc_1 [Urb07]
% 0.20/0.69
% 0.20/0.69 % Status : Theorem
% 0.20/0.69 % 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, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.14 v5.3.0, 0.11 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0
% 0.20/0.69 % Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% 0.20/0.69 % Number of atoms : 12 ( 4 equ)
% 0.20/0.69 % Maximal formula atoms : 3 ( 1 avg)
% 0.20/0.69 % Number of connectives : 5 ( 1 ~; 2 |; 0 &)
% 0.20/0.69 % ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.69 % Maximal formula depth : 5 ( 3 avg)
% 0.20/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.69 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% 0.20/0.69 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.20/0.70 % Number of variables : 8 ( 6 !; 2 ?)
% 0.20/0.70 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.70
% 0.20/0.70 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.70 % library, www.mizar.org
% 0.20/0.70 %------------------------------------------------------------------------------
% 0.20/0.70 fof(rc1_xboole_0,axiom,
% 0.20/0.70 ? [A] : empty(A) ).
% 0.20/0.70
% 0.20/0.70 fof(rc2_xboole_0,axiom,
% 0.20/0.70 ? [A] : ~ empty(A) ).
% 0.20/0.70
% 0.20/0.70 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.70 ! [A,B] : subset(A,A) ).
% 0.20/0.70
% 0.20/0.70 fof(dt_k1_tarski,axiom,
% 0.20/0.70 $true ).
% 0.20/0.70
% 0.20/0.70 fof(dt_k1_xboole_0,axiom,
% 0.20/0.70 $true ).
% 0.20/0.70
% 0.20/0.70 fof(fc1_xboole_0,axiom,
% 0.20/0.70 empty(empty_set) ).
% 0.20/0.70
% 0.20/0.70 fof(t39_zfmisc_1,conjecture,
% 0.20/0.70 ! [A,B] :
% 0.20/0.70 ( subset(A,singleton(B))
% 0.20/0.70 <=> ( A = empty_set
% 0.20/0.70 | A = singleton(B) ) ) ).
% 0.20/0.70
% 0.20/0.70 fof(l4_zfmisc_1,axiom,
% 0.20/0.70 ! [A,B] :
% 0.20/0.70 ( subset(A,singleton(B))
% 0.20/0.70 <=> ( A = empty_set
% 0.20/0.70 | A = singleton(B) ) ) ).
% 0.20/0.70
% 0.20/0.70 %------------------------------------------------------------------------------
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % Proof found
% 0.20/0.70 % SZS status Theorem for theBenchmark
% 0.20/0.70 % SZS output start Proof
% 0.20/0.70 %ClaNum:17(EqnAxiom:7)
% 0.20/0.70 %VarNum:14(SingletonVarNum:7)
% 0.20/0.70 %MaxLitNum:3
% 0.20/0.70 %MaxfuncDepth:1
% 0.20/0.70 %SharedTerms:15
% 0.20/0.70 %goalClause: 12 14 16
% 0.20/0.70 [8]P1(a1)
% 0.20/0.70 [9]P1(a2)
% 0.20/0.70 [11]~P1(a3)
% 0.20/0.70 [10]P2(x101,x101)
% 0.20/0.70 [14]~E(a1,a4)+~P2(a4,f6(a5))
% 0.20/0.70 [16]~P2(a4,f6(a5))+~E(f6(a5),a4)
% 0.20/0.70 [13]~E(x131,a1)+P2(x131,f6(x132))
% 0.20/0.70 [15]P2(x151,f6(x152))+~E(x151,f6(x152))
% 0.20/0.70 [12]E(a1,a4)+E(f6(a5),a4)+P2(a4,f6(a5))
% 0.20/0.70 [17]E(x171,a1)+E(x171,f6(x172))+~P2(x171,f6(x172))
% 0.20/0.70 %EqnAxiom
% 0.20/0.70 [1]E(x11,x11)
% 0.20/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.70 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.20/0.70 [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.20/0.70 [6]P2(x62,x63)+~E(x61,x62)+~P2(x61,x63)
% 0.20/0.70 [7]P2(x73,x72)+~E(x71,x72)+~P2(x73,x71)
% 0.20/0.70
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 cnf(36,plain,
% 0.20/0.70 (P2(x361,x362)+~E(x361,x362)),
% 0.20/0.70 inference(scs_inference,[],[9,10,11,5,7])).
% 0.20/0.70 cnf(45,plain,
% 0.20/0.70 (~E(a1,x451)+P2(x451,f6(x452))),
% 0.20/0.70 inference(scs_inference,[],[13,2])).
% 0.20/0.70 cnf(46,plain,
% 0.20/0.70 (P2(a1,f6(x461))),
% 0.20/0.70 inference(equality_inference,[],[45])).
% 0.20/0.70 cnf(47,plain,
% 0.20/0.70 (~E(a4,a1)+~P2(a4,f6(a5))),
% 0.20/0.70 inference(scs_inference,[],[14,2])).
% 0.20/0.70 cnf(48,plain,
% 0.20/0.70 (E(a4,f6(x481))+~P2(a4,f6(x481))+~P2(a4,f6(a5))),
% 0.20/0.70 inference(scs_inference,[],[47,17])).
% 0.20/0.70 cnf(49,plain,
% 0.20/0.70 (~E(a4,f6(a5))+~E(f6(a5),a4)),
% 0.20/0.70 inference(scs_inference,[],[16,36])).
% 0.20/0.70 cnf(63,plain,
% 0.20/0.70 (~E(f6(a5),a4)),
% 0.20/0.70 inference(scs_inference,[],[49,2])).
% 0.20/0.70 cnf(64,plain,
% 0.20/0.70 (E(a1,a4)+P2(a4,f6(a5))),
% 0.20/0.70 inference(scs_inference,[],[63,12])).
% 0.20/0.70 cnf(67,plain,
% 0.20/0.70 (~E(a4,f6(a5))),
% 0.20/0.70 inference(scs_inference,[],[63,2])).
% 0.20/0.70 cnf(68,plain,
% 0.20/0.70 (E(f6(a1),f6(a4))+P2(a4,f6(a5))),
% 0.20/0.70 inference(scs_inference,[],[64,4])).
% 0.20/0.70 cnf(75,plain,
% 0.20/0.70 ($false),
% 0.20/0.70 inference(scs_inference,[],[46,67,48,6,68,64]),
% 0.20/0.70 ['proof']).
% 0.20/0.70 % SZS output end Proof
% 0.20/0.70 % Total time :0.050000s
%------------------------------------------------------------------------------