TSTP Solution File: SET926+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET926+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 : n021.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 14:31:44 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:46:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.63 % Domain : Set theory
% 0.20/0.63 % Problem : difference(sgtn(A),B) = empty | difference(sgtn(A),B) = sgtn(A)
% 0.20/0.63 % Version : [Urb06] axioms : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.20/0.63 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.20/0.63 % Source : [Urb06]
% 0.20/0.63 % Names : zfmisc_1__t69_zfmisc_1 [Urb06]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % 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 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0
% 0.20/0.63 % Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% 0.20/0.63 % Number of atoms : 11 ( 4 equ)
% 0.20/0.63 % Maximal formula atoms : 2 ( 1 avg)
% 0.20/0.63 % Number of connectives : 7 ( 3 ~; 1 |; 0 &)
% 0.20/0.63 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 5 ( 3 avg)
% 0.20/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.63 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.20/0.63 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.20/0.63 % Number of variables : 10 ( 8 !; 2 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.63
% 0.20/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.63 % library, www.mizar.org
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( in(A,B)
% 0.20/0.63 => ~ in(B,A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc1_xboole_0,axiom,
% 0.20/0.63 empty(empty_set) ).
% 0.20/0.63
% 0.20/0.63 fof(l34_zfmisc_1,axiom,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( set_difference(singleton(A),B) = singleton(A)
% 0.20/0.63 <=> ~ in(A,B) ) ).
% 0.20/0.63
% 0.20/0.63 fof(l36_zfmisc_1,axiom,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( set_difference(singleton(A),B) = empty_set
% 0.20/0.63 <=> in(A,B) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_xboole_0,axiom,
% 0.20/0.63 ? [A] : empty(A) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_xboole_0,axiom,
% 0.20/0.63 ? [A] : ~ empty(A) ).
% 0.20/0.63
% 0.20/0.63 fof(t69_zfmisc_1,conjecture,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( set_difference(singleton(A),B) = empty_set
% 0.20/0.63 | set_difference(singleton(A),B) = singleton(A) ) ).
% 0.20/0.63
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:19(EqnAxiom:9)
% 0.20/0.63 %VarNum:22(SingletonVarNum:10)
% 0.20/0.63 %MaxLitNum:2
% 0.20/0.63 %MaxfuncDepth:2
% 0.20/0.63 %SharedTerms:12
% 0.20/0.63 %goalClause: 13 14
% 0.20/0.63 %singleGoalClaCount:2
% 0.20/0.63 [10]P1(a1)
% 0.20/0.63 [11]P1(a2)
% 0.20/0.63 [12]~P1(a3)
% 0.20/0.63 [13]~E(f7(f5(a4),a6),a1)
% 0.20/0.63 [14]~E(f7(f5(a4),a6),f5(a4))
% 0.20/0.63 [17]~P2(x172,x171)+~P2(x171,x172)
% 0.20/0.63 [15]P2(x151,x152)+E(f7(f5(x151),x152),f5(x151))
% 0.20/0.63 [16]~P2(x161,x162)+E(f7(f5(x161),x162),a1)
% 0.20/0.63 [18]P2(x181,x182)+~E(f7(f5(x181),x182),a1)
% 0.20/0.63 [19]~P2(x191,x192)+~E(f7(f5(x191),x192),f5(x191))
% 0.20/0.63 %EqnAxiom
% 0.20/0.63 [1]E(x11,x11)
% 0.20/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.63 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.20/0.63 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 0.20/0.63 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 0.20/0.63 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.20/0.63 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.20/0.63 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(21,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[13,14,16,15]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
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