TSTP Solution File: SET923+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET923+1 : 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 : 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 14:31:42 EDT 2023
% Result : Theorem 0.20s 0.65s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET923+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 16:22:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.65
% 0.20/0.65 % Result :Theorem 0.010000s
% 0.20/0.65 % Output :CNFRefutation 0.010000s
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 % File : SET923+1 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.65 % Domain : Set theory
% 0.20/0.65 % Problem : ~ ( difference(A,sgtn(B)) = empty & A != empty & A != sgtn(B) )
% 0.20/0.65 % Version : [Urb06] axioms : Especial.
% 0.20/0.65 % English :
% 0.20/0.65
% 0.20/0.65 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.20/0.65 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.20/0.65 % Source : [Urb06]
% 0.20/0.65 % Names : zfmisc_1__t66_zfmisc_1 [Urb06]
% 0.20/0.65
% 0.20/0.65 % Status : Theorem
% 0.20/0.65 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 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, 0.00 v6.2.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.00 v5.3.0, 0.04 v5.2.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0
% 0.20/0.65 % Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% 0.20/0.65 % Number of atoms : 12 ( 6 equ)
% 0.20/0.65 % Maximal formula atoms : 3 ( 1 avg)
% 0.20/0.65 % Number of connectives : 9 ( 4 ~; 1 |; 2 &)
% 0.20/0.65 % ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.65 % Maximal formula depth : 7 ( 4 avg)
% 0.20/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.65 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.20/0.65 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.20/0.65 % Number of variables : 10 ( 8 !; 2 ?)
% 0.20/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.65
% 0.20/0.65 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.65 % library, www.mizar.org
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 fof(fc1_xboole_0,axiom,
% 0.20/0.65 empty(empty_set) ).
% 0.20/0.65
% 0.20/0.65 fof(l4_zfmisc_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( subset(A,singleton(B))
% 0.20/0.65 <=> ( A = empty_set
% 0.20/0.65 | A = singleton(B) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc1_xboole_0,axiom,
% 0.20/0.65 ? [A] : empty(A) ).
% 0.20/0.65
% 0.20/0.65 fof(rc2_xboole_0,axiom,
% 0.20/0.65 ? [A] : ~ empty(A) ).
% 0.20/0.65
% 0.20/0.65 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.65 ! [A,B] : subset(A,A) ).
% 0.20/0.65
% 0.20/0.65 fof(t37_xboole_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( set_difference(A,B) = empty_set
% 0.20/0.65 <=> subset(A,B) ) ).
% 0.20/0.65
% 0.20/0.65 fof(t66_zfmisc_1,conjecture,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ~ ( set_difference(A,singleton(B)) = empty_set
% 0.20/0.65 & A != empty_set
% 0.20/0.65 & A != singleton(B) ) ).
% 0.20/0.65
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 % Proof found
% 0.20/0.65 % SZS status Theorem for theBenchmark
% 0.20/0.65 % SZS output start Proof
% 0.20/0.65 %ClaNum:21(EqnAxiom:9)
% 0.20/0.65 %VarNum:22(SingletonVarNum:11)
% 0.20/0.65 %MaxLitNum:3
% 0.20/0.65 %MaxfuncDepth:2
% 0.20/0.65 %SharedTerms:13
% 0.20/0.65 %goalClause: 13 14 15
% 0.20/0.65 %singleGoalClaCount:3
% 0.20/0.65 [10]P1(a1)
% 0.20/0.65 [11]P1(a2)
% 0.20/0.65 [14]~E(a1,a3)
% 0.20/0.65 [16]~P1(a4)
% 0.20/0.65 [15]~E(f6(a5),a3)
% 0.20/0.65 [13]E(f7(a3,f6(a5)),a1)
% 0.20/0.65 [12]P2(x121,x121)
% 0.20/0.65 [17]~E(x171,a1)+P2(x171,f6(x172))
% 0.20/0.65 [18]P2(x181,f6(x182))+~E(x181,f6(x182))
% 0.20/0.65 [19]~P2(x191,x192)+E(f7(x191,x192),a1)
% 0.20/0.65 [20]P2(x201,x202)+~E(f7(x201,x202),a1)
% 0.20/0.65 [21]E(x211,a1)+E(x211,f6(x212))+~P2(x211,f6(x212))
% 0.20/0.65 %EqnAxiom
% 0.20/0.65 [1]E(x11,x11)
% 0.20/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.65 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.20/0.65 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 0.20/0.65 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 0.20/0.65 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.20/0.65 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.20/0.65 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.20/0.65
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 cnf(28,plain,
% 0.20/0.65 (P2(x281,x281)),
% 0.20/0.65 inference(rename_variables,[],[12])).
% 0.20/0.65 cnf(34,plain,
% 0.20/0.65 (E(a3,f6(a5))+E(a3,a1)),
% 0.20/0.65 inference(scs_inference,[],[13,12,28,14,10,2,17,20,9,8,7,19,3,21])).
% 0.20/0.65 cnf(39,plain,
% 0.20/0.65 (E(a3,a1)),
% 0.20/0.65 inference(scs_inference,[],[11,16,15,2,7,34])).
% 0.20/0.65 cnf(56,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[14,39,2]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.010000s
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