TSTP Solution File: SET899+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET899+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 : n012.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 14:31:36 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n012.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 09:39:10 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % File :CSE---1.6
% 0.19/0.59 % Problem :theBenchmark
% 0.19/0.59 % Transform :cnf
% 0.19/0.59 % Format :tptp:raw
% 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.59
% 0.19/0.59 % Result :Theorem 0.000000s
% 0.19/0.59 % Output :CNFRefutation 0.000000s
% 0.19/0.59 %-------------------------------------------
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 % File : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.60 % Domain : Set theory
% 0.19/0.60 % Problem : subset(A,B) => ( in(C,A) | subset(A,difference(B,singleton(C))) )
% 0.19/0.60 % Version : [Urb06] axioms : Especial.
% 0.19/0.60 % English :
% 0.19/0.60
% 0.19/0.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.19/0.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.19/0.60 % Source : [Urb06]
% 0.19/0.60 % Names : zfmisc_1__t40_zfmisc_1 [Urb06]
% 0.19/0.60
% 0.19/0.60 % Status : Theorem
% 0.19/0.60 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.2.0
% 0.19/0.60 % Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% 0.19/0.60 % Number of atoms : 11 ( 0 equ)
% 0.19/0.60 % Maximal formula atoms : 3 ( 1 avg)
% 0.19/0.60 % Number of connectives : 7 ( 2 ~; 2 |; 0 &)
% 0.19/0.60 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.60 % Maximal formula depth : 6 ( 4 avg)
% 0.19/0.60 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.60 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.19/0.60 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.19/0.60 % Number of variables : 12 ( 10 !; 2 ?)
% 0.19/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.60
% 0.19/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.60 % library, www.mizar.org
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.60 ! [A,B] : subset(A,A) ).
% 0.19/0.60
% 0.19/0.60 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( in(A,B)
% 0.19/0.60 => ~ in(B,A) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rc1_xboole_0,axiom,
% 0.19/0.60 ? [A] : empty(A) ).
% 0.19/0.60
% 0.19/0.60 fof(rc2_xboole_0,axiom,
% 0.19/0.60 ? [A] : ~ empty(A) ).
% 0.19/0.60
% 0.19/0.60 fof(t40_zfmisc_1,conjecture,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( subset(A,B)
% 0.19/0.60 => ( in(C,A)
% 0.19/0.60 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 0.19/0.60
% 0.19/0.60 fof(l3_zfmisc_1,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( subset(A,B)
% 0.19/0.60 => ( in(C,A)
% 0.19/0.60 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 0.19/0.60
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof
% 0.19/0.60 %ClaNum:8(EqnAxiom:0)
% 0.19/0.60 %VarNum:13(SingletonVarNum:6)
% 0.19/0.60 %MaxLitNum:3
% 0.19/0.60 %MaxfuncDepth:2
% 0.19/0.60 %SharedTerms:12
% 0.19/0.60 %goalClause: 2 5 6
% 0.19/0.60 %singleGoalClaCount:3
% 0.19/0.60 [1]P1(a1)
% 0.19/0.60 [2]P2(a2,a4)
% 0.19/0.60 [4]~P1(a3)
% 0.19/0.60 [5]~P3(a5,a2)
% 0.19/0.60 [6]~P2(a2,f7(a4,f6(a5)))
% 0.19/0.60 [3]P2(x31,x31)
% 0.19/0.60 [7]~P3(x72,x71)+~P3(x71,x72)
% 0.19/0.60 [8]~P2(x82,x83)+P3(x81,x82)+P2(x82,f7(x83,f6(x81)))
% 0.19/0.60 %EqnAxiom
% 0.19/0.60
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 cnf(9,plain,
% 0.19/0.60 ($false),
% 0.19/0.60 inference(scs_inference,[],[2,5,6,8]),
% 0.19/0.60 ['proof']).
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------