TSTP Solution File: SEU158+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU158+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 : n031.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 16:17:58 EDT 2023
% Result : Theorem 0.22s 0.66s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 15:00:20 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.60 start to proof:theBenchmark
% 0.22/0.66 %-------------------------------------------
% 0.22/0.66 % File :CSE---1.6
% 0.22/0.66 % Problem :theBenchmark
% 0.22/0.66 % Transform :cnf
% 0.22/0.66 % Format :tptp:raw
% 0.22/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.66
% 0.22/0.66 % Result :Theorem 0.000000s
% 0.22/0.66 % Output :CNFRefutation 0.000000s
% 0.22/0.66 %-------------------------------------------
% 0.22/0.66 %------------------------------------------------------------------------------
% 0.22/0.66 % File : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% 0.22/0.66 % Domain : Set theory
% 0.22/0.66 % Problem : Basic properties of sets, theorem 37
% 0.22/0.66 % Version : [Urb06] axioms : Especial.
% 0.22/0.66 % English :
% 0.22/0.66
% 0.22/0.66 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.22/0.66 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.22/0.66 % Source : [Urb06]
% 0.22/0.66 % Names : zfmisc_1__t37_zfmisc_1 [Urb06]
% 0.22/0.66
% 0.22/0.66 % Status : Theorem
% 0.22/0.66 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v3.2.0
% 0.22/0.66 % Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% 0.22/0.66 % Number of atoms : 9 ( 0 equ)
% 0.22/0.66 % Maximal formula atoms : 2 ( 1 avg)
% 0.22/0.66 % Number of connectives : 5 ( 2 ~; 0 |; 0 &)
% 0.22/0.66 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.66 % Maximal formula depth : 5 ( 4 avg)
% 0.22/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.22/0.66 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.22/0.66 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.22/0.66 % Number of variables : 10 ( 8 !; 2 ?)
% 0.22/0.66 % SPC : FOF_THM_RFO_NEQ
% 0.22/0.66
% 0.22/0.66 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.22/0.66 % library, www.mizar.org
% 0.22/0.66 %------------------------------------------------------------------------------
% 0.22/0.66 fof(reflexivity_r1_tarski,axiom,
% 0.22/0.66 ! [A,B] : subset(A,A) ).
% 0.22/0.66
% 0.22/0.66 fof(antisymmetry_r2_hidden,axiom,
% 0.22/0.66 ! [A,B] :
% 0.22/0.66 ( in(A,B)
% 0.22/0.66 => ~ in(B,A) ) ).
% 0.22/0.66
% 0.22/0.66 fof(rc1_xboole_0,axiom,
% 0.22/0.66 ? [A] : empty(A) ).
% 0.22/0.66
% 0.22/0.66 fof(rc2_xboole_0,axiom,
% 0.22/0.66 ? [A] : ~ empty(A) ).
% 0.22/0.66
% 0.22/0.66 fof(t37_zfmisc_1,conjecture,
% 0.22/0.66 ! [A,B] :
% 0.22/0.66 ( subset(singleton(A),B)
% 0.22/0.66 <=> in(A,B) ) ).
% 0.22/0.66
% 0.22/0.66 fof(l2_zfmisc_1,axiom,
% 0.22/0.66 ! [A,B] :
% 0.22/0.66 ( subset(singleton(A),B)
% 0.22/0.66 <=> in(A,B) ) ).
% 0.22/0.66
% 0.22/0.66 %------------------------------------------------------------------------------
% 0.22/0.66 %-------------------------------------------
% 0.22/0.66 % Proof found
% 0.22/0.66 % SZS status Theorem for theBenchmark
% 0.22/0.66 % SZS output start Proof
% 0.22/0.66 %ClaNum:8(EqnAxiom:0)
% 0.22/0.66 %VarNum:14(SingletonVarNum:7)
% 0.22/0.66 %MaxLitNum:2
% 0.22/0.66 %MaxfuncDepth:1
% 0.22/0.66 %SharedTerms:11
% 0.22/0.66 %goalClause: 4 5
% 0.22/0.66 [1]P1(a1)
% 0.22/0.66 [3]~P1(a2)
% 0.22/0.66 [2]P2(x21,x21)
% 0.22/0.66 [4]P3(a3,a4)+P2(f5(a3),a4)
% 0.22/0.66 [5]~P3(a3,a4)+~P2(f5(a3),a4)
% 0.22/0.66 [7]~P3(x72,x71)+~P3(x71,x72)
% 0.22/0.66 [6]~P3(x61,x62)+P2(f5(x61),x62)
% 0.22/0.66 [8]P3(x81,x82)+~P2(f5(x81),x82)
% 0.22/0.66 %EqnAxiom
% 0.22/0.66
% 0.22/0.66 %-------------------------------------------
% 0.22/0.67 cnf(16,plain,
% 0.22/0.67 (P2(f5(a3),a4)),
% 0.22/0.67 inference(scs_inference,[],[6,4])).
% 0.22/0.67 cnf(17,plain,
% 0.22/0.67 (~P3(a3,a4)),
% 0.22/0.67 inference(scs_inference,[],[16,5])).
% 0.22/0.67 cnf(18,plain,
% 0.22/0.67 (P3(a3,a4)),
% 0.22/0.67 inference(scs_inference,[],[16,8])).
% 0.22/0.67 cnf(22,plain,
% 0.22/0.67 ($false),
% 0.22/0.67 inference(scs_inference,[],[18,17]),
% 0.22/0.67 ['proof']).
% 0.22/0.67 % SZS output end Proof
% 0.22/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------