%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU808^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Wed Feb 25 09:37:23 AM UTC 2026
% Result : Theorem 1.32s 1.14s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 34 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 157 ( 11 ~; 2 |; 6 &; 119 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 6 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 19 ( 8 ^; 9 !; 2 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
setadjoin: $i > $i > $i ).
thf(func_def_5,type,
omegaS: $i > $i ).
thf(f29,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f28]) ).
thf(f28,plain,
$false = $true,
inference(superposition,[status(thm)],[f18,f26]) ).
thf(f26,plain,
( $false
= ( in @ sK0 @ omega ) ),
inference(trivial_inequality_removal,[status(thm)],[f25]) ).
thf(f25,plain,
( ( $true != $true )
| ( $false
= ( in @ sK0 @ omega ) ) ),
inference(superposition,[status(thm)],[f24,f23]) ).
thf(f23,plain,
! [X1: $i] :
( ( ( in @ ( setadjoin @ X1 @ X1 ) @ omega )
= $true )
| ( $false
= ( in @ X1 @ omega ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: $i] :
( ( ( in @ X1 @ omega )
=> ( in @ ( setadjoin @ X1 @ X1 ) @ omega ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f16,f15]) ).
thf(f15,plain,
( omegaSAx
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) ) ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
( omegaSAx
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) ) ) ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: $i] :
( ( ( in @ X0 @ omega )
=> ( in @ ( setadjoin @ X0 @ X0 ) @ omega ) )
= omegaSAx ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i] :
( ( ( in @ X0 @ omega )
=> ( in @ ( setadjoin @ X0 @ X0 ) @ omega ) )
= omegaSAx ),
file('/export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2THF_6215.p',omegaSAx) ).
thf(f16,plain,
omegaSAx = $true,
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
( ( ( in @ sK0 @ omega )
= $true )
& ( ( in @ ( omegaS @ sK0 ) @ omega )
!= $true )
& ( omegaSAx = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f12]) ).
thf(f12,plain,
( ? [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
& ( ( in @ ( omegaS @ X0 ) @ omega )
!= $true ) )
=> ( ( ( in @ sK0 @ omega )
= $true )
& ( ( in @ ( omegaS @ sK0 ) @ omega )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
( ? [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
& ( ( in @ ( omegaS @ X0 ) @ omega )
!= $true ) )
& ( omegaSAx = $true ) ),
inference(ennf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
~ ( ( omegaSAx = $true )
=> ! [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
=> ( ( in @ ( omegaS @ X0 ) @ omega )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,plain,
~ ( omegaSAx
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ( in @ ( omegaS @ X0 ) @ omega ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,negated_conjecture,
~ ( omegaSAx
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ( in @ ( omegaS @ X0 ) @ omega ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f3,conjecture,
( omegaSAx
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ( in @ ( omegaS @ X0 ) @ omega ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2THF_6215.p',omegaSp) ).
thf(f24,plain,
( $true
!= ( in @ ( setadjoin @ sK0 @ sK0 ) @ omega ) ),
inference(beta_eta_normalization,[status(thm)],[f19]) ).
thf(f19,plain,
( $true
!= ( in
@ ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 )
@ sK0 )
@ omega ) ),
inference(definition_unfolding,[status(thm)],[f17,f14]) ).
thf(f14,plain,
( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[status(thm)],[f2]) ).
thf(f2,axiom,
( ( ^ [X0: $i] : ( setadjoin @ X0 @ X0 ) )
= omegaS ),
file('/export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2THF_6215.p',omegaS) ).
thf(f17,plain,
( ( in @ ( omegaS @ sK0 ) @ omega )
!= $true ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f18,plain,
( ( in @ sK0 @ omega )
= $true ),
inference(cnf_transformation,[status(thm)],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU808^2 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.32 % Computer : n016.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Feb 24 12:35:06 EST 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.42 ---- Original DTF file ---
% 0.16/0.42 thf(spec,logic,$$dhol).
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 % File : SEU808^2 : TPTP v9.2.1. Released v3.7.0.
% 0.16/0.42 % Domain : Set Theory
% 0.16/0.42 % Problem : Omega and Peano
% 0.16/0.42 % Version : Especial > Reduced > Especial.
% 0.16/0.42 % English : (! x:i.in x omega -> in (omegaS x) omega)
% 0.16/0.42
% 0.16/0.42 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.16/0.42 % Source : [Bro08]
% 0.16/0.42 % Names : ZFC310l [Bro08]
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.00 v8.2.0, 0.08 v8.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v3.7.0
% 0.16/0.42 % Syntax : Number of formulae : 8 ( 2 unt; 5 typ; 2 def)
% 0.16/0.42 % Number of atoms : 8 ( 2 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 3 ( 2 avg)
% 0.16/0.42 % Number of connectives : 16 ( 0 ~; 0 |; 0 &; 13 @)
% 0.16/0.42 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 7 ( 3 avg)
% 0.16/0.42 % Number of types : 2 ( 0 usr)
% 0.16/0.42 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 6 ( 5 usr; 2 con; 0-2 aty)
% 0.16/0.42 % Number of variables : 3 ( 1 ^; 2 !; 0 ?; 3 :)
% 0.16/0.42 % SPC : TH0_THM_EQU_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : http://mathgate.info/detsetitem.php?id=441
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 thf(in_type,type,
% 0.16/0.42 in: $i > $i > $o ).
% 0.16/0.42
% 0.16/0.42 thf(setadjoin_type,type,
% 0.16/0.42 setadjoin: $i > $i > $i ).
% 0.16/0.42
% 0.16/0.42 thf(omega_type,type,
% 0.16/0.42 omega: $i ).
% 0.16/0.42
% 0.16/0.42 thf(omegaSAx_type,type,
% 0.16/0.42 omegaSAx: $o ).
% 0.16/0.42
% 0.16/0.42 thf(omegaSAx,definition,
% 0.16/0.42 ( omegaSAx
% 0.16/0.42 = ( ! [Xx: $i] :
% 0.16/0.42 ( ( in @ Xx @ omega )
% 0.16/0.42 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.16/0.42
% 0.16/0.42 thf(omegaS_type,type,
% 0.16/0.42 omegaS: $i > $i ).
% 0.16/0.42
% 0.16/0.42 thf(omegaS,definition,
% 0.16/0.42 ( omegaS
% 0.16/0.42 = ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ) ).
% 0.16/0.42
% 0.16/0.42 thf(omegaSp,conjecture,
% 0.16/0.42 ( omegaSAx
% 0.16/0.42 => ! [Xx: $i] :
% 0.16/0.42 ( ( in @ Xx @ omega )
% 0.16/0.42 => ( in @ ( omegaS @ Xx ) @ omega ) ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.12/1.11 ---- Embedded in THF ---
% 1.12/1.11 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.12/1.11 %%% Generated on Tue Feb 24 12:35:06 EST 2026
% 1.12/1.11 %%% using '$$dhol' embedding, version 1.3.0.
% 1.12/1.11 %%% Logic specification used:
% 1.12/1.11 %%% thf(spec, logic, $$dhol).
% 1.12/1.11
% 1.12/1.11 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2DTF6215.p
% See solution above
% 1.12/1.11 ------------------------
% 1.12/1.12 ---- Cleaned THF ---
% 1.12/1.12 thf(in_type,type,
% 1.12/1.12 in: $i > $i > $o ).
% 1.12/1.12
% 1.12/1.12 thf(setadjoin_type,type,
% 1.12/1.12 setadjoin: $i > $i > $i ).
% 1.12/1.12
% 1.12/1.12 thf(omega_type,type,
% 1.12/1.12 omega: $i ).
% 1.12/1.12
% 1.12/1.12 thf(omegaSAx_type,type,
% 1.12/1.12 omegaSAx: $o ).
% 1.12/1.12
% 1.12/1.12 thf(omegaSAx,definition,
% 1.12/1.12 ( omegaSAx
% 1.12/1.12 = ( ! [Xx: $i] :
% 1.12/1.12 ( ( in @ Xx @ omega )
% 1.12/1.12 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 1.12/1.12
% 1.12/1.12 thf(omegaS_type,type,
% 1.12/1.12 omegaS: $i > $i ).
% 1.12/1.12
% 1.12/1.12 thf(omegaS,definition,
% 1.12/1.12 ( omegaS
% 1.12/1.12 = ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ) ).
% 1.12/1.12
% 1.12/1.12 thf(omegaSp,conjecture,
% 1.12/1.12 ( omegaSAx
% 1.12/1.12 => ! [Xx: $i] :
% 1.12/1.12 ( ( in @ Xx @ omega )
% 1.12/1.12 => ( in @ ( omegaS @ Xx ) @ omega ) ) ) ).
% 1.12/1.12 ------------------------
% 1.32/1.13 % (6312)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6215 for (2999ds/183Mi)
% 1.32/1.13 % (6312)First to succeed.
% 1.32/1.14 % (6312)Refutation found. Thanks to Tanya!
% 1.32/1.14 % SZS status Theorem for DTF2THF_6215
% 1.32/1.14 % SZS output start Proof for DTF2THF_6215
% 1.32/1.14 thf(func_def_0, type, in: $i > $i > $o).
% 1.32/1.14 thf(func_def_1, type, setadjoin: $i > $i > $i).
% 1.32/1.14 thf(func_def_5, type, omegaS: $i > $i).
% 1.32/1.14 thf(f29,plain,(
% 1.32/1.14 $false),
% 1.32/1.14 inference(trivial_inequality_removal,[status(thm)],[f28])).
% 1.32/1.14 thf(f28,plain,(
% 1.32/1.14 ($false = $true)),
% 1.32/1.14 inference(superposition,[status(thm)],[f18,f26])).
% 1.32/1.14 thf(f26,plain,(
% 1.32/1.14 ($false = (in @ sK0 @ omega))),
% 1.32/1.14 inference(trivial_inequality_removal,[status(thm)],[f25])).
% 1.32/1.14 thf(f25,plain,(
% 1.32/1.14 ($true != $true) | ($false = (in @ sK0 @ omega))),
% 1.32/1.14 inference(superposition,[status(thm)],[f24,f23])).
% 1.32/1.14 thf(f23,plain,(
% 1.32/1.14 ( ! [X1 : $i] : (((in @ (setadjoin @ X1 @ X1) @ omega) = $true) | ($false = (in @ X1 @ omega))) )),
% 1.32/1.14 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 1.32/1.14 thf(f22,plain,(
% 1.32/1.14 ( ! [X1 : $i] : ((((in @ X1 @ omega) => (in @ (setadjoin @ X1 @ X1) @ omega)) = $true)) )),
% 1.32/1.14 inference(beta_eta_normalization,[status(thm)],[f21])).
% 1.32/1.14 thf(f21,plain,(
% 1.32/1.14 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ omega))) @ X1) = $true)) )),
% 1.32/1.14 inference(pi_clausification,[status(thm)],[f20])).
% 1.32/1.14 thf(f20,plain,(
% 1.32/1.14 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ omega)))) = $true)),
% 1.32/1.14 inference(definition_unfolding,[status(thm)],[f16,f15])).
% 1.32/1.14 thf(f15,plain,(
% 1.32/1.14 (omegaSAx = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ omega)))))),
% 1.32/1.14 inference(cnf_transformation,[status(thm)],[f10])).
% 1.32/1.14 thf(f10,plain,(
% 1.32/1.14 (omegaSAx = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ omega)))))),
% 1.32/1.14 inference(fool_elimination,[status(thm)],[f9])).
% 1.32/1.14 thf(f9,plain,(
% 1.32/1.14 (! [X0 : $i] : ((in @ X0 @ omega) => (in @ (setadjoin @ X0 @ X0) @ omega)) = omegaSAx)),
% 1.32/1.14 inference(rectify,[status(thm)],[f1])).
% 1.32/1.14 thf(f1,axiom,(
% 1.32/1.14 (! [X0 : $i] : ((in @ X0 @ omega) => (in @ (setadjoin @ X0 @ X0) @ omega)) = omegaSAx)),
% 1.32/1.14 file('/export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2THF_6215.p',omegaSAx)).
% 1.32/1.14 thf(f16,plain,(
% 1.32/1.14 (omegaSAx = $true)),
% 1.32/1.14 inference(cnf_transformation,[status(thm)],[f13])).
% 1.32/1.14 thf(f13,plain,(
% 1.32/1.14 (((in @ sK0 @ omega) = $true) & ((in @ (omegaS @ sK0) @ omega) != $true)) & (omegaSAx = $true)),
% 1.32/1.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f12])).
% 1.32/1.14 thf(f12,plain,(
% 1.32/1.14 ? [X0 : $i] : (((in @ X0 @ omega) = $true) & ((in @ (omegaS @ X0) @ omega) != $true)) => (((in @ sK0 @ omega) = $true) & ((in @ (omegaS @ sK0) @ omega) != $true))),
% 1.32/1.14 introduced(definition,[],[choice_axiom])).
% 1.32/1.14 thf(f11,plain,(
% 1.32/1.14 ? [X0 : $i] : (((in @ X0 @ omega) = $true) & ((in @ (omegaS @ X0) @ omega) != $true)) & (omegaSAx = $true)),
% 1.32/1.14 inference(ennf_transformation,[status(thm)],[f8])).
% 1.32/1.14 thf(f8,plain,(
% 1.32/1.14 ~((omegaSAx = $true) => ! [X0 : $i] : (((in @ X0 @ omega) = $true) => ((in @ (omegaS @ X0) @ omega) = $true)))),
% 1.32/1.14 inference(fool_elimination,[status(thm)],[f7])).
% 1.32/1.14 thf(f7,plain,(
% 1.32/1.14 ~(omegaSAx => ! [X0 : $i] : ((in @ X0 @ omega) => (in @ (omegaS @ X0) @ omega)))),
% 1.32/1.14 inference(rectify,[status(thm)],[f4])).
% 1.32/1.14 thf(f4,negated_conjecture,(
% 1.32/1.14 ~(omegaSAx => ! [X0 : $i] : ((in @ X0 @ omega) => (in @ (omegaS @ X0) @ omega)))),
% 1.32/1.14 inference(negated_conjecture,[status(cth)],[f3])).
% 1.32/1.14 thf(f3,conjecture,(
% 1.32/1.14 omegaSAx => ! [X0 : $i] : ((in @ X0 @ omega) => (in @ (omegaS @ X0) @ omega))),
% 1.32/1.14 file('/export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2THF_6215.p',omegaSp)).
% 1.32/1.14 thf(f24,plain,(
% 1.32/1.14 ($true != (in @ (setadjoin @ sK0 @ sK0) @ omega))),
% 1.32/1.14 inference(beta_eta_normalization,[status(thm)],[f19])).
% 1.32/1.14 thf(f19,plain,(
% 1.32/1.14 ($true != (in @ ((^[Y0 : $i]: (setadjoin @ Y0 @ Y0)) @ sK0) @ omega))),
% 1.32/1.14 inference(definition_unfolding,[status(thm)],[f17,f14])).
% 1.32/1.14 thf(f14,plain,(
% 1.32/1.14 (omegaS = (^[Y0 : $i]: (setadjoin @ Y0 @ Y0)))),
% 1.32/1.14 inference(cnf_transformation,[status(thm)],[f6])).
% 1.32/1.14 thf(f6,plain,(
% 1.32/1.14 (omegaS = (^[Y0 : $i]: (setadjoin @ Y0 @ Y0)))),
% 1.32/1.14 inference(fool_elimination,[status(thm)],[f2])).
% 1.32/1.14 thf(f2,axiom,(
% 1.32/1.14 ((^[X0 : $i] : (setadjoin @ X0 @ X0)) = omegaS)),
% 1.32/1.14 file('/export/starexec/sandbox2/tmp/tmp.OTEvIxdub6/DTF2THF_6215.p',omegaS)).
% 1.32/1.14 thf(f17,plain,(
% 1.32/1.14 ((in @ (omegaS @ sK0) @ omega) != $true)),
% 1.32/1.14 inference(cnf_transformation,[status(thm)],[f13])).
% 1.32/1.14 thf(f18,plain,(
% 1.32/1.14 ((in @ sK0 @ omega) = $true)),
% 1.32/1.14 inference(cnf_transformation,[status(thm)],[f13])).
% 1.32/1.14 % SZS output end Proof for DTF2THF_6215
% 1.32/1.14 % (6312)------------------------------
% 1.32/1.14 % (6312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.14 % (6312)Termination reason: Refutation
% 1.32/1.14
% 1.32/1.14 % (6312)Memory used [KB]: 5500
% 1.32/1.14 % (6312)Time elapsed: 0.003 s
% 1.32/1.14 % (6312)Instructions burned: 1 (million)
% 1.32/1.14 % (6312)------------------------------
% 1.32/1.14 % (6312)------------------------------
% 1.32/1.14 % (6311)Success in time 0.007 s
%------------------------------------------------------------------------------