TSTP Solution File: SET900+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET900+1 : 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 : n016.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 14:31:37 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET900+1 : 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 : n016.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 : Sat Aug 26 10:29:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.53 start to proof:theBenchmark
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 % File :CSE---1.6
% 0.19/0.58 % Problem :theBenchmark
% 0.19/0.58 % Transform :cnf
% 0.19/0.58 % Format :tptp:raw
% 0.19/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.58
% 0.19/0.58 % Result :Theorem 0.000000s
% 0.19/0.58 % Output :CNFRefutation 0.000000s
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 % File : SET900+1 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.58 % Domain : Set theory
% 0.19/0.58 % Problem : ~ ( A != singleton(B) & A != empty_set & ~ ( in(C,A) & C != B ) )
% 0.19/0.58 % Version : [Urb06] axioms : Especial.
% 0.19/0.58 % English :
% 0.19/0.58
% 0.19/0.58 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.19/0.58 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.19/0.58 % Source : [Urb06]
% 0.19/0.58 % Names : zfmisc_1__t41_zfmisc_1 [Urb06]
% 0.19/0.58
% 0.19/0.58 % Status : Theorem
% 0.19/0.58 % Rating : 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.1.0, 0.13 v5.5.0, 0.07 v5.3.0, 0.15 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
% 0.19/0.58 % Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% 0.19/0.58 % Number of atoms : 13 ( 6 equ)
% 0.19/0.58 % Maximal formula atoms : 4 ( 2 avg)
% 0.19/0.58 % Number of connectives : 19 ( 12 ~; 0 |; 6 &)
% 0.19/0.58 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.58 % Maximal formula depth : 10 ( 5 avg)
% 0.19/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.58 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.19/0.58 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.19/0.58 % Number of variables : 10 ( 8 !; 2 ?)
% 0.19/0.58 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.58
% 0.19/0.58 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.58 % library, www.mizar.org
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.58 ! [A,B] :
% 0.19/0.58 ( in(A,B)
% 0.19/0.58 => ~ in(B,A) ) ).
% 0.19/0.58
% 0.19/0.58 fof(fc1_xboole_0,axiom,
% 0.19/0.58 empty(empty_set) ).
% 0.19/0.58
% 0.19/0.58 fof(rc1_xboole_0,axiom,
% 0.19/0.58 ? [A] : empty(A) ).
% 0.19/0.58
% 0.19/0.58 fof(rc2_xboole_0,axiom,
% 0.19/0.58 ? [A] : ~ empty(A) ).
% 0.19/0.58
% 0.19/0.58 fof(t41_zfmisc_1,conjecture,
% 0.19/0.58 ! [A,B] :
% 0.19/0.58 ~ ( A != singleton(B)
% 0.19/0.58 & A != empty_set
% 0.19/0.58 & ! [C] :
% 0.19/0.58 ~ ( in(C,A)
% 0.19/0.58 & C != B ) ) ).
% 0.19/0.58
% 0.19/0.58 fof(l45_zfmisc_1,axiom,
% 0.19/0.58 ! [A,B] :
% 0.19/0.58 ~ ( A != singleton(B)
% 0.19/0.58 & A != empty_set
% 0.19/0.58 & ! [C] :
% 0.19/0.58 ~ ( in(C,A)
% 0.19/0.58 & C != B ) ) ).
% 0.19/0.58
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof
% 0.19/0.59 %ClaNum:18(EqnAxiom:9)
% 0.19/0.59 %VarNum:18(SingletonVarNum:7)
% 0.19/0.59 %MaxLitNum:3
% 0.19/0.59 %MaxfuncDepth:1
% 0.19/0.59 %SharedTerms:11
% 0.19/0.59 %goalClause: 12 13 15
% 0.19/0.59 %singleGoalClaCount:2
% 0.19/0.59 [10]P1(a1)
% 0.19/0.59 [11]P1(a2)
% 0.19/0.59 [12]~E(a3,a1)
% 0.19/0.59 [14]~P1(a4)
% 0.19/0.59 [13]~E(f6(a5),a3)
% 0.19/0.59 [15]~P2(x151,a3)+E(x151,a5)
% 0.19/0.59 [17]~P2(x172,x171)+~P2(x171,x172)
% 0.19/0.59 [16]~E(f7(x161,x162),x162)+E(x161,a1)+E(x161,f6(x162))
% 0.19/0.59 [18]P2(f7(x181,x182),x181)+E(x181,a1)+E(x181,f6(x182))
% 0.19/0.59 %EqnAxiom
% 0.19/0.59 [1]E(x11,x11)
% 0.19/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.59 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.19/0.59 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 0.19/0.59 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 0.19/0.59 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.19/0.59 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.19/0.59 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.19/0.59
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 cnf(36,plain,
% 0.19/0.59 (E(a3,f6(a5))),
% 0.19/0.59 inference(scs_inference,[],[12,11,14,7,18,17,15,16])).
% 0.19/0.59 cnf(38,plain,
% 0.19/0.59 ($false),
% 0.19/0.59 inference(scs_inference,[],[13,36,2]),
% 0.19/0.59 ['proof']).
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time :0.000000s
%------------------------------------------------------------------------------