TSTP Solution File: SEU163+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU163+3 : 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 : n006.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 16:18:02 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU163+3 : 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 : n006.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 : Wed Aug 23 18:54:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : SEU163+3 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.63 % Domain : Set theory
% 0.20/0.63 % Problem : Basic properties of sets, theorem 92
% 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__t92_zfmisc_1 [Urb06]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.00 v3.2.0
% 0.20/0.63 % Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% 0.20/0.63 % Number of atoms : 9 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 2 ( 1 avg)
% 0.20/0.63 % Number of connectives : 5 ( 2 ~; 0 |; 0 &)
% 0.20/0.63 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 5 ( 4 avg)
% 0.20/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.20/0.63 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.20/0.63 % Number of variables : 10 ( 8 !; 2 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_NEQ
% 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(reflexivity_r1_tarski,axiom,
% 0.20/0.63 ! [A,B] : subset(A,A) ).
% 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(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(t92_zfmisc_1,conjecture,
% 0.20/0.63 ! [A,B] :
% 0.20/0.64 ( in(A,B)
% 0.20/0.64 => subset(A,union(B)) ) ).
% 0.20/0.64
% 0.20/0.64 fof(l50_zfmisc_1,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( in(A,B)
% 0.20/0.64 => subset(A,union(B)) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:7(EqnAxiom:0)
% 0.20/0.64 %VarNum:10(SingletonVarNum:5)
% 0.20/0.64 %MaxLitNum:2
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:9
% 0.20/0.64 %goalClause: 2 5
% 0.20/0.64 %singleGoalClaCount:2
% 0.20/0.64 [1]P1(a1)
% 0.20/0.64 [2]P2(a2,a4)
% 0.20/0.64 [4]~P1(a3)
% 0.20/0.64 [5]~P3(a2,f5(a4))
% 0.20/0.64 [3]P3(x31,x31)
% 0.20/0.64 [7]~P2(x72,x71)+~P2(x71,x72)
% 0.20/0.64 [6]~P2(x61,x62)+P3(x61,f5(x62))
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(8,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[2,5,6]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
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