TSTP Solution File: SEU158+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU158+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU158+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n013.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Aug 23 15:38:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % File :CSE---1.6
% 0.21/0.63 % Problem :theBenchmark
% 0.21/0.63 % Transform :cnf
% 0.21/0.63 % Format :tptp:raw
% 0.21/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.63
% 0.21/0.63 % Result :Theorem 0.000000s
% 0.21/0.63 % Output :CNFRefutation 0.000000s
% 0.21/0.63 %-------------------------------------------
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 % File : SEU158+1 : TPTP v8.1.2. Released v3.3.0.
% 0.21/0.64 % Domain : Set theory
% 0.21/0.64 % Problem : MPTP bushy problem t37_zfmisc_1
% 0.21/0.64 % Version : [Urb07] axioms : Especial.
% 0.21/0.64 % English :
% 0.21/0.64
% 0.21/0.64 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.21/0.64 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.21/0.64 % Source : [Urb07]
% 0.21/0.64 % Names : bushy-t37_zfmisc_1 [Urb07]
% 0.21/0.64
% 0.21/0.64 % Status : Theorem
% 0.21/0.64 % 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 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 0.21/0.64 % Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% 0.21/0.64 % Number of atoms : 8 ( 0 equ)
% 0.21/0.64 % Maximal formula atoms : 2 ( 1 avg)
% 0.21/0.64 % Number of connectives : 4 ( 1 ~; 0 |; 0 &)
% 0.21/0.64 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.21/0.64 % Maximal formula depth : 5 ( 3 avg)
% 0.21/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.64 % Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% 0.21/0.64 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.21/0.64 % Number of variables : 8 ( 8 !; 0 ?)
% 0.21/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.64
% 0.21/0.64 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.21/0.64 % library, www.mizar.org
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 fof(reflexivity_r1_tarski,axiom,
% 0.21/0.64 ! [A,B] : subset(A,A) ).
% 0.21/0.64
% 0.21/0.64 fof(antisymmetry_r2_hidden,axiom,
% 0.21/0.64 ! [A,B] :
% 0.21/0.64 ( in(A,B)
% 0.21/0.64 => ~ in(B,A) ) ).
% 0.21/0.64
% 0.21/0.64 fof(dt_k1_tarski,axiom,
% 0.21/0.64 $true ).
% 0.21/0.64
% 0.21/0.64 fof(t37_zfmisc_1,conjecture,
% 0.21/0.64 ! [A,B] :
% 0.21/0.64 ( subset(singleton(A),B)
% 0.21/0.64 <=> in(A,B) ) ).
% 0.21/0.64
% 0.21/0.64 fof(l2_zfmisc_1,axiom,
% 0.21/0.64 ! [A,B] :
% 0.21/0.64 ( subset(singleton(A),B)
% 0.21/0.64 <=> in(A,B) ) ).
% 0.21/0.64
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.64 %ClaNum:6(EqnAxiom:0)
% 0.21/0.64 %VarNum:14(SingletonVarNum:7)
% 0.21/0.64 %MaxLitNum:2
% 0.21/0.64 %MaxfuncDepth:1
% 0.21/0.64 %SharedTerms:7
% 0.21/0.64 %goalClause: 2 3
% 0.21/0.64 [1]P1(x11,x11)
% 0.21/0.64 [2]P2(a1,a2)+P1(f3(a1),a2)
% 0.21/0.64 [3]~P2(a1,a2)+~P1(f3(a1),a2)
% 0.21/0.64 [5]~P2(x52,x51)+~P2(x51,x52)
% 0.21/0.64 [4]~P2(x41,x42)+P1(f3(x41),x42)
% 0.21/0.64 [6]P2(x61,x62)+~P1(f3(x61),x62)
% 0.21/0.64 %EqnAxiom
% 0.21/0.64
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 cnf(14,plain,
% 0.21/0.64 (P1(f3(a1),a2)),
% 0.21/0.64 inference(scs_inference,[],[4,2])).
% 0.21/0.64 cnf(15,plain,
% 0.21/0.64 (~P2(a1,a2)),
% 0.21/0.64 inference(scs_inference,[],[14,3])).
% 0.21/0.64 cnf(16,plain,
% 0.21/0.64 (P2(a1,a2)),
% 0.21/0.64 inference(scs_inference,[],[14,6])).
% 0.21/0.64 cnf(20,plain,
% 0.21/0.64 ($false),
% 0.21/0.64 inference(scs_inference,[],[16,15]),
% 0.21/0.64 ['proof']).
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time :0.000000s
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