%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO219^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 09:53:41 AM UTC 2026
% Result : Theorem 1.71s 1.95s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 30 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 148 ( 76 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 433 ( 35 ~; 14 |; 0 &; 330 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 88 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 7 usr; 5 con; 0-4 aty)
% ( 11 !!; 27 ??; 11 @@+; 0 @@-)
% Number of variables : 218 ( 151 ^; 63 !; 4 ?; 218 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cS: $i > $i ).
thf(func_def_13,type,
diff:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > X1 ) > X0 ) ).
thf(func_def_14,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_16,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: $i > $i > $i ).
thf(func_def_21,type,
sK3: ( $i > $i ) > $i ).
thf(func_def_22,type,
sK4:
!>[X0: $tType] : ( ( X0 > $i > $i > $i ) > $i ) ).
thf(f114,plain,
$false,
inference(equality_resolution,[status(thm)],[f101]) ).
thf(f101,plain,
! [X8: $i > $i] :
( ( ^ [Y0: $i,Y1: $i] : ( cS @ ( sK2 @ Y1 @ Y1 ) ) )
!= ( ^ [Y0: $i] : X8 ) ),
inference(beta_eta_normalization,[status(thm)],[f97]) ).
thf(f97,plain,
! [X9: $tType,X10: X9,X8: $i > $i] :
( ( ^ [Y0: $i,Y1: $i] :
( cS
@ ( ^ [Y2: X9,Y3: $i,Y4: $i] :
( sK2
@ ( ^ [Y5: X9,Y6: $i,Y7: $i] : Y7
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: X9,Y6: $i,Y7: $i] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ X10
@ Y0
@ Y1 ) ) )
!= ( ^ [Y0: $i] : X8 ) ),
inference(equality_resolution,[status(thm)],[f83]) ).
thf(f83,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i,X4: $i] :
( ( ( X2
@ ( @@+ @ X1
@ ^ [Y0: X1] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= ( ^ [Y2: $i] : ( cS @ ( X2 @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
@ ( sK4 @ X1
@ ^ [Y0: X1,Y1: $i,Y2: $i] : ( cS @ ( X2 @ Y0 @ Y1 @ Y2 ) ) )
@ X4 )
!= ( sK2
@ ( sK4 @ X1
@ ^ [Y0: X1,Y1: $i,Y2: $i] : ( cS @ ( X2 @ Y0 @ Y1 @ Y2 ) ) )
@ X4 ) )
| ( ( ^ [Y0: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : ( cS @ ( X2 @ X3 @ Y0 @ Y1 ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: $tType,X3: X2 > $i > $i > $i,X6: $i > $i,X7: X2,X4: $i,X5: $i] :
( ( ( sK2
@ ( sK4 @ X2
@ ^ [Y0: X2,Y1: $i,Y2: $i] : ( cS @ ( X3 @ Y0 @ Y1 @ Y2 ) ) )
@ X4 )
!= X5 )
| ( ( ^ [Y0: $i] : X6 )
!= ( ^ [Y0: $i,Y1: $i] : ( cS @ ( X3 @ X7 @ Y0 @ Y1 ) ) ) )
| ( ( X3
@ ( @@+ @ X2
@ ^ [Y0: X2] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= ( ^ [Y2: $i] : ( cS @ ( X3 @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
@ ( sK4 @ X2
@ ^ [Y0: X2,Y1: $i,Y2: $i] : ( cS @ ( X3 @ Y0 @ Y1 @ Y2 ) ) )
@ X4 )
!= X5 ) ),
inference(beta_eta_normalization,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: $tType,X3: X2 > $i > $i > $i,X6: $i > $i,X7: X2,X4: $i,X5: $i] :
( ( ( ^ [Y0: $i] : X6 )
!= ( ^ [Y0: X2,Y1: $i,Y2: $i] : ( cS @ ( X3 @ Y0 @ Y1 @ Y2 ) )
@ X7 ) )
| ( ( sK2
@ ( sK4 @ X2
@ ^ [Y0: X2,Y1: $i,Y2: $i] : ( cS @ ( X3 @ Y0 @ Y1 @ Y2 ) ) )
@ X4 )
!= X5 )
| ( ( X3
@ ( @@+ @ X2
@ ^ [Y0: X2] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= ( ^ [Y2: X2,Y3: $i,Y4: $i] : ( cS @ ( X3 @ Y2 @ Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) )
@ ( sK4 @ X2
@ ^ [Y0: X2,Y1: $i,Y2: $i] : ( cS @ ( X3 @ Y0 @ Y1 @ Y2 ) ) )
@ X4 )
!= X5 ) ),
inference(constrained_superposition,[status(thm)],[f15,f39]) ).
thf(f39,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i,X4: $i] :
( ( ( X2
@ ( @@+ @ X1
@ ^ [Y0: X1] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK4 @ X1 @ X2 )
@ X4 )
= ( sK2 @ ( sK4 @ X1 @ X2 ) @ X4 ) )
| ( ( ^ [Y0: $i] : X0 )
!= ( X2 @ X3 ) ) ),
inference(argument_congruence,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i] :
( ( ( X2
@ ( @@+ @ X1
@ ^ [Y0: X1] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK4 @ X1 @ X2 ) )
= ( sK2 @ ( sK4 @ X1 @ X2 ) ) )
| ( ( ^ [Y0: $i] : X0 )
!= ( X2 @ X3 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i] :
( ( ( ^ [Y0: $i] : X0 )
!= ( X2 @ X3 ) )
| ( $true
= ( ( sK2 @ ( sK4 @ X1 @ X2 ) )
= ( X2
@ ( @@+ @ X1
@ ^ [Y0: X1] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK4 @ X1 @ X2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i] :
( ( ( ^ [Y0: $i] : X0 )
!= ( X2 @ X3 ) )
| ( ( ^ [Y0: $i] :
( ( sK2 @ Y0 )
= ( X2
@ ( @@+ @ X1
@ ^ [Y1: X1] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y2 )
= ( X2 @ Y1 @ Y2 ) ) ) )
@ Y0 ) )
@ ( sK4 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i] :
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
= ( X2
@ ( @@+ @ X1
@ ^ [Y1: X1] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y2 )
= ( X2 @ Y1 @ Y2 ) ) ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: $i] : X0 )
!= ( X2 @ X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i] :
( ( ( ^ [Y0: $i] : X0 )
!= ( ^ [Y0: $i] : ( X2 @ X3 @ Y0 ) ) )
| ( $true
= ( ^ [Y0: X1] :
( ?? @ $i
@ ( ^ [Y1: X1,Y2: $i] :
( ( ^ [Y3: X1,Y4: $i,Y5: $i] :
( sK2
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y7
@ Y3
@ Y4
@ Y5 )
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y8
@ Y3
@ Y4
@ Y5 ) )
@ Y1
@ Y2 )
= ( X2 @ Y1 @ Y2 ) )
@ Y0 ) )
@ ( @@+ @ X1
@ ^ [Y0: X1] :
( ?? @ $i
@ ( ^ [Y1: X1,Y2: $i] :
( ( ^ [Y3: X1,Y4: $i,Y5: $i] :
( sK2
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y7
@ Y3
@ Y4
@ Y5 )
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y8
@ Y3
@ Y4
@ Y5 ) )
@ Y1
@ Y2 )
= ( X2 @ Y1 @ Y2 ) )
@ Y0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: $tType,X2: X1 > $i > $i > $i,X3: X1,X0: $i > $i] :
( ( $true
= ( ^ [Y0: X1] :
( ?? @ $i
@ ( ^ [Y1: X1,Y2: $i] :
( ( ^ [Y3: X1,Y4: $i,Y5: $i] :
( sK2
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y7
@ Y3
@ Y4
@ Y5 )
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y8
@ Y3
@ Y4
@ Y5 ) )
@ Y1
@ Y2 )
= ( X2 @ Y1 @ Y2 ) )
@ Y0 ) )
@ ( @@+ @ X1
@ ^ [Y0: X1] :
( ?? @ $i
@ ( ^ [Y1: X1,Y2: $i] :
( ( ^ [Y3: X1,Y4: $i,Y5: $i] :
( sK2
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y7
@ Y3
@ Y4
@ Y5 )
@ ( ^ [Y6: X1,Y7: $i,Y8: $i] : Y8
@ Y3
@ Y4
@ Y5 ) )
@ Y1
@ Y2 )
= ( X2 @ Y1 @ Y2 ) )
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: $i] : X0 )
!= ( ^ [Y0: $i] : ( X2 @ X3 @ Y0 ) ) )
| ( $true = $false ) ),
inference(constrained_superposition,[status(thm)],[f6,f19]) ).
thf(f19,plain,
! [X1: $i > $i] :
( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
= X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f18]) ).
thf(f18,plain,
! [X1: $i > $i] :
( $true
= ( ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( $true
= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y1 )
= Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f16]) ).
thf(f16,plain,
( $true
= ( ^ [Y0: $i > $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
( $true
= ( ?? @ ( $i > $i > $i )
@ ^ [Y0: $i > $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ~ ( ?? @ ( $i > $i > $i )
@ ^ [Y0: $i > $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cS @ Y0 )
!= Y0 ) )
=> ~ ( ?? @ ( $i > $i > $i )
@ ^ [Y0: $i > $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cS @ Y0 )
!= Y0 ) )
=> ~ ( ?? @ ( $i > $i > $i )
@ ^ [Y0: $i > $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cS @ Y0 )
!= Y0 ) )
=> ~ ( ?? @ ( $i > $i > $i )
@ ^ [Y0: $i > $i > $i] :
( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i] :
( ( cS @ X0 )
!= X0 )
=> ~ ? [X1: $i > $i > $i] :
! [X2: $i > $i] :
? [X3: $i] :
( ( X1 @ X3 )
= X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i] :
( ( cS @ X0 )
!= X0 )
=> ~ ? [X1: $i > $i > $i] :
! [X2: $i > $i] :
? [X3: $i] :
( ( X1 @ X3 )
= X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.j3B2jD0DgU/DTF2THF_31976.p',cTHM6) ).
thf(f6,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( $true
= ( X1 @ ( @@+ @ X0 @ X1 ) ) )
| ( $false
= ( X1 @ X2 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
! [X1: $i] :
( ( cS @ X1 )
!= X1 ),
inference(equality_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
! [X1: $i] :
( $false
= ( ( cS @ X1 )
= X1 ) ),
inference(not_proxy_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
! [X1: $i] :
( $true
= ( ( cS @ X1 )
!= X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( cS @ Y0 )
!= Y0 )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cS @ Y0 )
!= Y0 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO219^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n020.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 14:26:27 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.33/0.48 ---- Original DTF file ---
% 0.33/0.48 thf(spec,logic,$$dhol).
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 % File : SYO219^5 : TPTP v9.2.1. Released v4.0.0.
% 0.33/0.48 % Domain : Syntactic
% 0.33/0.48 % Problem : TPS problem THM6
% 0.33/0.48 % Version : Especial.
% 0.33/0.48 % English :
% 0.33/0.48
% 0.33/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.33/0.48 % Source : [Bro09]
% 0.33/0.48 % Names : tps_0193 [Bro09]
% 0.33/0.48 % : THM6 [TPS]
% 0.33/0.48
% 0.33/0.48 % Status : Theorem
% 0.33/0.48 % Rating : 0.44 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.69 v8.1.0, 0.45 v7.5.0, 0.14 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.43 v6.0.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.60 v5.0.0, 0.80 v4.1.0, 0.67 v4.0.0
% 0.33/0.48 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.33/0.48 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.33/0.48 % Maximal formula atoms : 2 ( 2 avg)
% 0.33/0.48 % Number of connectives : 5 ( 2 ~; 0 |; 0 &; 2 @)
% 0.33/0.48 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.33/0.48 % Maximal formula depth : 6 ( 6 avg)
% 0.33/0.48 % Number of types : 1 ( 0 usr)
% 0.33/0.48 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.33/0.48 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 0.33/0.48 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.33/0.48 % SPC : TH0_THM_EQU_NAR
% 0.33/0.48
% 0.33/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.33/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.33/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.33/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 thf(cS,type,
% 0.33/0.48 cS: $i > $i ).
% 0.33/0.48
% 0.33/0.48 thf(cTHM6,conjecture,
% 0.33/0.48 ( ! [M: $i] :
% 0.33/0.48 ( ( cS @ M )
% 0.33/0.48 != M )
% 0.33/0.48 => ~ ? [G: $i > $i > $i] :
% 0.33/0.48 ! [F: $i > $i] :
% 0.33/0.48 ? [J: $i] :
% 0.33/0.48 ( ( G @ J )
% 0.33/0.48 = F ) ) ).
% 0.33/0.48
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 ------------------------
% 1.67/1.41 ---- Embedded in THF ---
% 1.67/1.41 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.67/1.41 %%% Generated on Tue Feb 24 14:26:28 EST 2026
% 1.67/1.41 %%% using '$$dhol' embedding, version 1.3.0.
% 1.67/1.41 %%% Logic specification used:
% 1.67/1.41 %%% thf(spec, logic, $$dhol).
% 1.67/1.41
% 1.67/1.41 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.j3B2jD0DgU/DTF2DTF31976.p
% See solution above
% 1.67/1.41 ------------------------
% 1.67/1.42 ---- Cleaned THF ---
% 1.67/1.42 thf(cS,type,
% 1.67/1.42 cS: $i > $i ).
% 1.67/1.42
% 1.67/1.42 thf(cTHM6,conjecture,
% 1.67/1.42 ( ! [M: $i] :
% 1.67/1.42 ( ( cS @ M )
% 1.67/1.42 != M )
% 1.67/1.42 => ~ ? [G: $i > $i > $i] :
% 1.67/1.42 ! [F: $i > $i] :
% 1.67/1.42 ? [J: $i] :
% 1.67/1.42 ( ( G @ J )
% 1.67/1.42 = F ) ) ).
% 1.67/1.42 ------------------------
% 1.67/1.44 % (32125)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/27Mi)
% 1.67/1.44 % (32128)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/275Mi)
% 1.67/1.44 % (32127)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/2Mi)
% 1.67/1.44 % (32126)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/2Mi)
% 1.67/1.44 % (32129)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/18Mi)
% 1.67/1.44 % (32123)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/183Mi)
% 1.67/1.44 % (32124)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_31976 for (3000ds/4Mi)
% 1.67/1.44 % (32128)Refutation not found, incomplete strategy
% 1.67/1.44 % (32128)------------------------------
% 1.67/1.44 % (32128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (32128)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.44
% 1.67/1.44
% 1.67/1.44 % (32125)Refutation not found, incomplete strategy
% 1.67/1.44 % (32125)------------------------------
% 1.67/1.44 % (32125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (32125)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.44
% 1.67/1.44
% 1.67/1.44 % (32125)Memory used [KB]: 5500
% 1.67/1.44 % (32125)Time elapsed: 0.002 s
% 1.67/1.44 % (32125)Instructions burned: 1 (million)
% 1.67/1.44 % (32125)------------------------------
% 1.67/1.44 % (32125)------------------------------
% 1.67/1.44 % (32128)Memory used [KB]: 5500
% 1.67/1.44 % (32126)Refutation not found, incomplete strategy
% 1.67/1.44 % (32126)------------------------------
% 1.67/1.44 % (32126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (32126)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.44
% 1.67/1.44
% 1.67/1.44 % (32126)Memory used [KB]: 5500
% 1.67/1.44 % (32126)Time elapsed: 0.002 s
% 1.67/1.44 % (32126)Instructions burned: 1 (million)
% 1.67/1.44 % (32126)------------------------------
% 1.67/1.44 % (32126)------------------------------
% 1.67/1.44 % (32128)Time elapsed: 0.002 s
% 1.67/1.44 % (32128)Instructions burned: 1 (million)
% 1.67/1.44 % (32128)------------------------------
% 1.67/1.44 % (32128)------------------------------
% 1.67/1.44 % (32124)Refutation not found, incomplete strategy
% 1.67/1.44 % (32124)------------------------------
% 1.67/1.44 % (32124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (32124)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.44
% 1.67/1.44
% 1.67/1.44 % (32124)Memory used [KB]: 5500
% 1.67/1.44 % (32124)Time elapsed: 0.003 s
% 1.67/1.44 % (32127)Instruction limit reached!
% 1.67/1.44 % (32127)------------------------------
% 1.67/1.44 % (32127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (32127)Termination reason: Unknown
% 1.67/1.44 % (32127)Termination phase: Saturation
% 1.67/1.44
% 1.67/1.44 % (32127)Memory used [KB]: 5500
% 1.67/1.44 % (32127)Time elapsed: 0.003 s
% 1.67/1.44 % (32127)Instructions burned: 2 (million)
% 1.67/1.44 % (32127)------------------------------
% 1.67/1.44 % (32127)------------------------------
% 1.67/1.44 % (32124)Instructions burned: 2 (million)
% 1.67/1.44 % (32124)------------------------------
% 1.67/1.44 % (32124)------------------------------
% 1.67/1.45 % (32129)Instruction limit reached!
% 1.67/1.45 % (32129)------------------------------
% 1.67/1.45 % (32129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.45 % (32129)Termination reason: Unknown
% 1.67/1.45 % (32129)Termination phase: Saturation
% 1.67/1.45
% 1.67/1.45 % (32129)Memory used [KB]: 5500
% 1.67/1.45 % (32129)Time elapsed: 0.011 s
% 1.67/1.45 % (32129)Instructions burned: 18 (million)
% 1.67/1.45 % (32129)------------------------------
% 1.67/1.45 % (32129)------------------------------
% 1.67/1.46 % (32131)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/37Mi)
% 1.67/1.46 % (32133)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/3Mi)
% 1.67/1.46 % (32130)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/3Mi)
% 1.67/1.46 % (32132)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/15Mi)
% 1.67/1.46 % (32134)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/1041Mi)
% 1.67/1.46 % (32132)Refutation not found, incomplete strategy
% 1.67/1.46 % (32132)------------------------------
% 1.67/1.46 % (32132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (32132)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.46
% 1.67/1.46
% 1.67/1.46 % (32132)Memory used [KB]: 5500
% 1.67/1.46 % (32132)Time elapsed: 0.002 s
% 1.67/1.46 % (32132)Instructions burned: 1 (million)
% 1.67/1.46 % (32132)------------------------------
% 1.67/1.46 % (32132)------------------------------
% 1.67/1.46 % (32133)Instruction limit reached!
% 1.67/1.46 % (32133)------------------------------
% 1.67/1.46 % (32133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (32133)Termination reason: Unknown
% 1.67/1.46 % (32133)Termination phase: Saturation
% 1.67/1.46
% 1.67/1.46 % (32133)Memory used [KB]: 5500
% 1.67/1.46 % (32133)Time elapsed: 0.003 s
% 1.67/1.46 % (32133)Instructions burned: 3 (million)
% 1.67/1.46 % (32133)------------------------------
% 1.67/1.46 % (32133)------------------------------
% 1.67/1.46 % (32130)Instruction limit reached!
% 1.67/1.46 % (32130)------------------------------
% 1.67/1.46 % (32130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (32130)Termination reason: Unknown
% 1.67/1.46 % (32130)Termination phase: Saturation
% 1.67/1.46
% 1.67/1.46 % (32130)Memory used [KB]: 5500
% 1.67/1.46 % (32130)Time elapsed: 0.004 s
% 1.67/1.46 % (32130)Instructions burned: 4 (million)
% 1.67/1.46 % (32130)------------------------------
% 1.67/1.46 % (32130)------------------------------
% 1.67/1.46 % (32134)Refutation not found, incomplete strategy
% 1.67/1.46 % (32134)------------------------------
% 1.67/1.46 % (32134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (32134)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.46
% 1.67/1.46
% 1.67/1.46 % (32134)Memory used [KB]: 5500
% 1.67/1.46 % (32134)Time elapsed: 0.005 s
% 1.67/1.46 % (32134)Instructions burned: 6 (million)
% 1.67/1.46 % (32134)------------------------------
% 1.67/1.46 % (32134)------------------------------
% 1.67/1.47 % (32135)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/7Mi)
% 1.67/1.47 % (32135)Instruction limit reached!
% 1.67/1.47 % (32135)------------------------------
% 1.67/1.47 % (32135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.47 % (32135)Termination reason: Unknown
% 1.67/1.47 % (32135)Termination phase: Saturation
% 1.67/1.47
% 1.67/1.47 % (32135)Memory used [KB]: 1023
% 1.67/1.47 % (32135)Time elapsed: 0.006 s
% 1.67/1.47 % (32135)Instructions burned: 8 (million)
% 1.67/1.47 % (32135)------------------------------
% 1.67/1.47 % (32135)------------------------------
% 1.67/1.48 % (32136)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/16Mi)
% 1.67/1.48 % (32137)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/3Mi)
% 1.67/1.48 % (32138)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/3Mi)
% 1.67/1.48 % (32131)Instruction limit reached!
% 1.67/1.48 % (32131)------------------------------
% 1.67/1.48 % (32131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.48 % (32131)Termination reason: Unknown
% 1.67/1.48 % (32131)Termination phase: Saturation
% 1.67/1.48
% 1.67/1.48 % (32131)Memory used [KB]: 5628
% 1.67/1.48 % (32137)Refutation not found, incomplete strategy
% 1.67/1.48 % (32137)------------------------------
% 1.67/1.48 % (32137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.48 % (32137)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.48
% 1.67/1.48
% 1.67/1.48 % (32137)Memory used [KB]: 5500
% 1.67/1.48 % (32137)Time elapsed: 0.003 s
% 1.67/1.48 % (32137)Instructions burned: 2 (million)
% 1.67/1.48 % (32137)------------------------------
% 1.67/1.48 % (32137)------------------------------
% 1.67/1.48 % (32131)Time elapsed: 0.022 s
% 1.67/1.48 % (32131)Instructions burned: 38 (million)
% 1.67/1.48 % (32131)------------------------------
% 1.67/1.48 % (32131)------------------------------
% 1.67/1.48 % (32138)Instruction limit reached!
% 1.67/1.48 % (32138)------------------------------
% 1.67/1.48 % (32138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.48 % (32138)Termination reason: Unknown
% 1.67/1.48 % (32138)Termination phase: Saturation
% 1.67/1.48
% 1.67/1.48 % (32138)Memory used [KB]: 5500
% 1.67/1.48 % (32138)Time elapsed: 0.003 s
% 1.67/1.48 % (32138)Instructions burned: 3 (million)
% 1.67/1.48 % (32138)------------------------------
% 1.67/1.48 % (32138)------------------------------
% 1.67/1.48 % (32139)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/7Mi)
% 1.67/1.48 % (32139)Refutation not found, incomplete strategy
% 1.67/1.48 % (32139)------------------------------
% 1.67/1.48 % (32139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.48 % (32139)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.48
% 1.67/1.48
% 1.67/1.48 % (32139)Memory used [KB]: 5373
% 1.67/1.48 % (32139)Time elapsed: 0.002 s
% 1.67/1.48 % (32139)Instructions burned: 1 (million)
% 1.67/1.48 % (32139)------------------------------
% 1.67/1.48 % (32139)------------------------------
% 1.67/1.49 % (32136)Instruction limit reached!
% 1.67/1.49 % (32136)------------------------------
% 1.67/1.49 % (32136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.49 % (32136)Termination reason: Unknown
% 1.67/1.49 % (32136)Termination phase: Saturation
% 1.67/1.49
% 1.67/1.49 % (32136)Memory used [KB]: 5500
% 1.67/1.49 % (32136)Time elapsed: 0.011 s
% 1.67/1.49 % (32136)Instructions burned: 17 (million)
% 1.67/1.49 % (32136)------------------------------
% 1.67/1.49 % (32136)------------------------------
% 1.67/1.49 % (32140)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/3Mi)
% 1.67/1.49 % (32140)Instruction limit reached!
% 1.67/1.49 % (32140)------------------------------
% 1.67/1.49 % (32140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.49 % (32140)Termination reason: Unknown
% 1.67/1.49 % (32140)Termination phase: Saturation
% 1.67/1.49
% 1.67/1.49 % (32140)Memory used [KB]: 5500
% 1.67/1.49 % (32140)Time elapsed: 0.003 s
% 1.67/1.49 % (32140)Instructions burned: 3 (million)
% 1.67/1.49 % (32140)------------------------------
% 1.67/1.49 % (32140)------------------------------
% 1.67/1.49 % (32141)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/4Mi)
% 1.67/1.49 % (32142)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/18Mi)
% 1.67/1.49 % (32143)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/710Mi)
% 1.67/1.50 % (32142)Refutation not found, incomplete strategy
% 1.67/1.50 % (32142)------------------------------
% 1.67/1.50 % (32142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.50 % (32142)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.50
% 1.67/1.50
% 1.67/1.50 % (32142)Memory used [KB]: 5500
% 1.67/1.50 % (32142)Time elapsed: 0.002 s
% 1.67/1.50 % (32142)Instructions burned: 1 (million)
% 1.67/1.50 % (32142)------------------------------
% 1.67/1.50 % (32142)------------------------------
% 1.67/1.50 % (32144)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/6Mi)
% 1.71/1.50 % (32141)Instruction limit reached!
% 1.71/1.50 % (32141)------------------------------
% 1.71/1.50 % (32141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.50 % (32141)Termination reason: Unknown
% 1.71/1.50 % (32141)Termination phase: Saturation
% 1.71/1.50
% 1.71/1.50 % (32141)Memory used [KB]: 5500
% 1.71/1.50 % (32141)Time elapsed: 0.004 s
% 1.71/1.50 % (32141)Instructions burned: 4 (million)
% 1.71/1.50 % (32141)------------------------------
% 1.71/1.50 % (32141)------------------------------
% 1.71/1.50 % (32144)Instruction limit reached!
% 1.71/1.50 % (32144)------------------------------
% 1.71/1.50 % (32144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.50 % (32144)Termination reason: Unknown
% 1.71/1.50 % (32144)Termination phase: Saturation
% 1.71/1.50
% 1.71/1.50 % (32144)Memory used [KB]: 5500
% 1.71/1.50 % (32144)Time elapsed: 0.005 s
% 1.71/1.50 % (32144)Instructions burned: 6 (million)
% 1.71/1.50 % (32144)------------------------------
% 1.71/1.50 % (32144)------------------------------
% 1.71/1.50 % (32145)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/902Mi)
% 1.71/1.50 % (32145)Refutation not found, incomplete strategy
% 1.71/1.50 % (32145)------------------------------
% 1.71/1.50 % (32145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.50 % (32145)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.50
% 1.71/1.50
% 1.71/1.50 % (32145)Memory used [KB]: 5500
% 1.71/1.50 % (32145)Time elapsed: 0.002 s
% 1.71/1.50 % (32145)Instructions burned: 1 (million)
% 1.71/1.50 % (32145)------------------------------
% 1.71/1.50 % (32145)------------------------------
% 1.71/1.50 % (32146)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/21Mi)
% 1.71/1.51 % (32147)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/5Mi)
% 1.71/1.51 % (32148)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/6Mi)
% 1.71/1.52 % (32147)Instruction limit reached!
% 1.71/1.52 % (32147)------------------------------
% 1.71/1.52 % (32147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (32147)Termination reason: Unknown
% 1.71/1.52 % (32147)Termination phase: Saturation
% 1.71/1.52
% 1.71/1.52 % (32147)Memory used [KB]: 5500
% 1.71/1.52 % (32147)Time elapsed: 0.005 s
% 1.71/1.52 % (32147)Instructions burned: 6 (million)
% 1.71/1.52 % (32147)------------------------------
% 1.71/1.52 % (32147)------------------------------
% 1.71/1.52 % (32149)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/377Mi)
% 1.71/1.52 % (32146)Instruction limit reached!
% 1.71/1.52 % (32146)------------------------------
% 1.71/1.52 % (32146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (32146)Termination reason: Unknown
% 1.71/1.52 % (32146)Termination phase: Saturation
% 1.71/1.52
% 1.71/1.52 % (32146)Memory used [KB]: 5628
% 1.71/1.52 % (32146)Time elapsed: 0.013 s
% 1.71/1.52 % (32146)Instructions burned: 22 (million)
% 1.71/1.52 % (32146)------------------------------
% 1.71/1.52 % (32146)------------------------------
% 1.71/1.52 % (32148)Instruction limit reached!
% 1.71/1.52 % (32148)------------------------------
% 1.71/1.52 % (32148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (32148)Termination reason: Unknown
% 1.71/1.52 % (32148)Termination phase: Saturation
% 1.71/1.52
% 1.71/1.52 % (32148)Memory used [KB]: 5500
% 1.71/1.52 % (32148)Time elapsed: 0.005 s
% 1.71/1.52 % (32148)Instructions burned: 7 (million)
% 1.71/1.52 % (32148)------------------------------
% 1.71/1.52 % (32148)------------------------------
% 1.71/1.52 % (32149)Refutation not found, incomplete strategy
% 1.71/1.52 % (32149)------------------------------
% 1.71/1.52 % (32149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (32149)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.52
% 1.71/1.52
% 1.71/1.52 % (32149)Memory used [KB]: 5500
% 1.71/1.52 % (32149)Time elapsed: 0.002 s
% 1.71/1.52 % (32149)Instructions burned: 1 (million)
% 1.71/1.52 % (32149)------------------------------
% 1.71/1.52 % (32149)------------------------------
% 1.71/1.52 % (32150)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/779Mi)
% 1.71/1.52 % (32150)Refutation not found, incomplete strategy
% 1.71/1.52 % (32150)------------------------------
% 1.71/1.52 % (32150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (32150)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.52
% 1.71/1.52
% 1.71/1.52 % (32150)Memory used [KB]: 5500
% 1.71/1.52 % (32150)Time elapsed: 0.003 s
% 1.71/1.52 % (32150)Instructions burned: 3 (million)
% 1.71/1.52 % (32150)------------------------------
% 1.71/1.52 % (32150)------------------------------
% 1.71/1.53 % (32123)Instruction limit reached!
% 1.71/1.53 % (32123)------------------------------
% 1.71/1.53 % (32123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.53 % (32123)Termination reason: Unknown
% 1.71/1.53 % (32123)Termination phase: Saturation
% 1.71/1.53
% 1.71/1.53 % (32123)Memory used [KB]: 6012
% 1.71/1.53 % (32123)Time elapsed: 0.087 s
% 1.71/1.53 % (32123)Instructions burned: 185 (million)
% 1.71/1.53 % (32123)------------------------------
% 1.71/1.53 % (32123)------------------------------
% 1.71/1.53 % (32151)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/19Mi)
% 1.71/1.53 % (32152)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/879Mi)
% 1.71/1.53 % (32153)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/17Mi)
% 1.71/1.53 % (32154)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/3Mi)
% 1.71/1.53 % (32152)Refutation not found, incomplete strategy
% 1.71/1.53 % (32152)------------------------------
% 1.71/1.53 % (32152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.53 % (32152)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.53
% 1.71/1.53
% 1.71/1.53 % (32152)Memory used [KB]: 5500
% 1.71/1.53 % (32152)Time elapsed: 0.002 s
% 1.71/1.53 % (32152)Instructions burned: 1 (million)
% 1.71/1.53 % (32152)------------------------------
% 1.71/1.53 % (32152)------------------------------
% 1.71/1.53 % (32151)Refutation not found, incomplete strategy
% 1.71/1.53 % (32151)------------------------------
% 1.71/1.53 % (32151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.53 % (32151)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.53
% 1.71/1.53
% 1.71/1.53 % (32151)Memory used [KB]: 5500
% 1.71/1.53 % (32151)Time elapsed: 0.003 s
% 1.71/1.53 % (32151)Instructions burned: 3 (million)
% 1.71/1.53 % (32151)------------------------------
% 1.71/1.53 % (32151)------------------------------
% 1.71/1.53 % (32154)Instruction limit reached!
% 1.71/1.53 % (32154)------------------------------
% 1.71/1.53 % (32154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.53 % (32154)Termination reason: Unknown
% 1.71/1.53 % (32154)Termination phase: Saturation
% 1.71/1.53
% 1.71/1.53 % (32154)Memory used [KB]: 5500
% 1.71/1.53 % (32154)Time elapsed: 0.003 s
% 1.71/1.53 % (32154)Instructions burned: 3 (million)
% 1.71/1.53 % (32154)------------------------------
% 1.71/1.53 % (32154)------------------------------
% 1.71/1.54 % (32155)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_31976 for (2999ds/30Mi)
% 1.71/1.54 % (32153)Instruction limit reached!
% 1.71/1.54 % (32153)------------------------------
% 1.71/1.54 % (32153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.54 % (32153)Termination reason: Unknown
% 1.71/1.54 % (32153)Termination phase: Saturation
% 1.71/1.54
% 1.71/1.54 % (32153)Memory used [KB]: 5500
% 1.71/1.54 % (32153)Time elapsed: 0.034 s
% 1.71/1.54 % (32153)Instructions burned: 19 (million)
% 1.71/1.54 % (32153)------------------------------
% 1.71/1.54 % (32153)------------------------------
% 1.71/1.54 % (32156)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/127Mi)
% 1.71/1.55 % (32157)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/100Mi)
% 1.71/1.55 % (32158)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/3Mi)
% 1.71/1.55 % (32159)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/20Mi)
% 1.71/1.55 % (32157)Refutation not found, incomplete strategy
% 1.71/1.55 % (32157)------------------------------
% 1.71/1.55 % (32157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.55 % (32157)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.55
% 1.71/1.55
% 1.71/1.55 % (32157)Memory used [KB]: 5500
% 1.71/1.55 % (32157)Time elapsed: 0.002 s
% 1.71/1.55 % (32157)Instructions burned: 1 (million)
% 1.71/1.55 % (32157)------------------------------
% 1.71/1.55 % (32157)------------------------------
% 1.71/1.55 % (32159)Refutation not found, incomplete strategy
% 1.71/1.55 % (32159)------------------------------
% 1.71/1.55 % (32159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.55 % (32159)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.55
% 1.71/1.55
% 1.71/1.55 % (32159)Memory used [KB]: 5500
% 1.71/1.55 % (32159)Time elapsed: 0.002 s
% 1.71/1.55 % (32159)Instructions burned: 1 (million)
% 1.71/1.55 % (32159)------------------------------
% 1.71/1.55 % (32159)------------------------------
% 1.71/1.55 % (32158)Instruction limit reached!
% 1.71/1.55 % (32158)------------------------------
% 1.71/1.55 % (32158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.55 % (32158)Termination reason: Unknown
% 1.71/1.55 % (32158)Termination phase: Saturation
% 1.71/1.55
% 1.71/1.55 % (32158)Memory used [KB]: 5500
% 1.71/1.55 % (32158)Time elapsed: 0.004 s
% 1.71/1.55 % (32158)Instructions burned: 4 (million)
% 1.71/1.55 % (32158)------------------------------
% 1.71/1.55 % (32158)------------------------------
% 1.71/1.55 % (32155)Instruction limit reached!
% 1.71/1.55 % (32155)------------------------------
% 1.71/1.55 % (32155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.55 % (32155)Termination reason: Unknown
% 1.71/1.55 % (32155)Termination phase: Saturation
% 1.71/1.55
% 1.71/1.55 % (32155)Memory used [KB]: 5628
% 1.71/1.55 % (32155)Time elapsed: 0.038 s
% 1.71/1.55 % (32155)Instructions burned: 31 (million)
% 1.71/1.55 % (32155)------------------------------
% 1.71/1.55 % (32155)------------------------------
% 1.71/1.56 % (32160)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/86Mi)
% 1.71/1.57 % (32161)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/107Mi)
% 1.71/1.57 % (32162)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/39Mi)
% 1.71/1.57 % (32163)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/448Mi)
% 1.71/1.57 % (32161)Refutation not found, incomplete strategy
% 1.71/1.57 % (32161)------------------------------
% 1.71/1.57 % (32161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.57 % (32161)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.57
% 1.71/1.57
% 1.71/1.57 % (32161)Memory used [KB]: 5500
% 1.71/1.57 % (32161)Time elapsed: 0.002 s
% 1.71/1.57 % (32161)Instructions burned: 1 (million)
% 1.71/1.57 % (32161)------------------------------
% 1.71/1.57 % (32161)------------------------------
% 1.71/1.57 % (32164)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/46Mi)
% 1.71/1.57 % (32164)Refutation not found, incomplete strategy
% 1.71/1.57 % (32164)------------------------------
% 1.71/1.57 % (32164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.57 % (32164)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.57
% 1.71/1.57
% 1.71/1.57 % (32164)Memory used [KB]: 5500
% 1.71/1.57 % (32164)Time elapsed: 0.003 s
% 1.71/1.57 % (32164)Instructions burned: 2 (million)
% 1.71/1.57 % (32164)------------------------------
% 1.71/1.57 % (32164)------------------------------
% 1.71/1.57 % (32162)Refutation not found, incomplete strategy
% 1.71/1.57 % (32162)------------------------------
% 1.71/1.57 % (32162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.57 % (32162)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.57
% 1.71/1.57
% 1.71/1.57 % (32162)Memory used [KB]: 5500
% 1.71/1.57 % (32162)Time elapsed: 0.005 s
% 1.71/1.57 % (32162)Instructions burned: 6 (million)
% 1.71/1.57 % (32162)------------------------------
% 1.71/1.57 % (32162)------------------------------
% 1.71/1.58 % (32165)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/98Mi)
% 1.71/1.59 % (32166)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/507Mi)
% 1.71/1.59 % (32165)Refutation not found, incomplete strategy
% 1.71/1.59 % (32165)------------------------------
% 1.71/1.59 % (32165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.59 % (32165)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.59
% 1.71/1.59
% 1.71/1.59 % (32165)Memory used [KB]: 1023
% 1.71/1.59 % (32165)Time elapsed: 0.004 s
% 1.71/1.59 % (32165)Instructions burned: 2 (million)
% 1.71/1.59 % (32165)------------------------------
% 1.71/1.59 % (32165)------------------------------
% 1.71/1.59 % (32167)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/149Mi)
% 1.71/1.59 % (32166)Refutation not found, incomplete strategy
% 1.71/1.59 % (32166)------------------------------
% 1.71/1.59 % (32166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.59 % (32166)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.59
% 1.71/1.59
% 1.71/1.59 % (32166)Memory used [KB]: 5500
% 1.71/1.59 % (32166)Time elapsed: 0.003 s
% 1.71/1.59 % (32166)Instructions burned: 3 (million)
% 1.71/1.59 % (32166)------------------------------
% 1.71/1.59 % (32166)------------------------------
% 1.71/1.60 % (32160)Instruction limit reached!
% 1.71/1.60 % (32160)------------------------------
% 1.71/1.60 % (32160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.60 % (32160)Termination reason: Unknown
% 1.71/1.60 % (32160)Termination phase: Saturation
% 1.71/1.60
% 1.71/1.60 % (32160)Memory used [KB]: 5756
% 1.71/1.60 % (32160)Time elapsed: 0.045 s
% 1.71/1.60 % (32160)Instructions burned: 87 (million)
% 1.71/1.60 % (32160)------------------------------
% 1.71/1.60 % (32160)------------------------------
% 1.71/1.60 % (32156)Instruction limit reached!
% 1.71/1.60 % (32156)------------------------------
% 1.71/1.60 % (32156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.60 % (32156)Termination reason: Unknown
% 1.71/1.60 % (32156)Termination phase: Saturation
% 1.71/1.60
% 1.71/1.60 % (32156)Memory used [KB]: 5756
% 1.71/1.60 % (32156)Time elapsed: 0.063 s
% 1.71/1.60 % (32156)Instructions burned: 128 (million)
% 1.71/1.60 % (32156)------------------------------
% 1.71/1.60 % (32156)------------------------------
% 1.71/1.60 % (32168)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/39Mi)
% 1.71/1.60 % (32168)Refutation not found, incomplete strategy
% 1.71/1.60 % (32168)------------------------------
% 1.71/1.60 % (32168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.60 % (32168)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.60
% 1.71/1.60
% 1.71/1.60 % (32168)Memory used [KB]: 5500
% 1.71/1.60 % (32168)Time elapsed: 0.002 s
% 1.71/1.60 % (32168)Instructions burned: 1 (million)
% 1.71/1.60 % (32168)------------------------------
% 1.71/1.60 % (32168)------------------------------
% 1.71/1.61 % (32169)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/6Mi)
% 1.71/1.61 % (32169)Refutation not found, incomplete strategy
% 1.71/1.61 % (32169)------------------------------
% 1.71/1.61 % (32169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.61 % (32169)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.61
% 1.71/1.61
% 1.71/1.61 % (32169)Memory used [KB]: 9978
% 1.71/1.61 % (32169)Time elapsed: 0.004 s
% 1.71/1.61 % (32169)Instructions burned: 3 (million)
% 1.71/1.61 % (32169)------------------------------
% 1.71/1.61 % (32169)------------------------------
% 1.71/1.62 % (32170)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/1087Mi)
% 1.71/1.62 % (32170)Refutation not found, incomplete strategy
% 1.71/1.62 % (32170)------------------------------
% 1.71/1.62 % (32170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.62 % (32170)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.62
% 1.71/1.62
% 1.71/1.62 % (32170)Memory used [KB]: 5500
% 1.71/1.62 % (32170)Time elapsed: 0.003 s
% 1.71/1.62 % (32170)Instructions burned: 1 (million)
% 1.71/1.62 % (32170)------------------------------
% 1.71/1.62 % (32170)------------------------------
% 1.71/1.62 % (32171)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/47Mi)
% 1.71/1.62 % (32172)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/44Mi)
% 1.71/1.62 % (32173)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/432Mi)
% 1.71/1.63 % (32173)Refutation not found, incomplete strategy
% 1.71/1.63 % (32173)------------------------------
% 1.71/1.63 % (32173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.63 % (32173)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.63
% 1.71/1.63
% 1.71/1.63 % (32173)Memory used [KB]: 1023
% 1.71/1.63 % (32173)Time elapsed: 0.006 s
% 1.71/1.63 % (32173)Instructions burned: 8 (million)
% 1.71/1.63 % (32173)------------------------------
% 1.71/1.63 % (32173)------------------------------
% 1.71/1.64 % (32174)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_31976 for (2998ds/62Mi)
% 1.71/1.64 % (32174)Refutation not found, incomplete strategy
% 1.71/1.64 % (32174)------------------------------
% 1.71/1.64 % (32174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (32174)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.64
% 1.71/1.64
% 1.71/1.64 % (32174)Memory used [KB]: 5500
% 1.71/1.64 % (32174)Time elapsed: 0.006 s
% 1.71/1.64 % (32174)Instructions burned: 6 (million)
% 1.71/1.64 % (32174)------------------------------
% 1.71/1.64 % (32174)------------------------------
% 1.71/1.64 % (32172)Instruction limit reached!
% 1.71/1.64 % (32172)------------------------------
% 1.71/1.64 % (32172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (32172)Termination reason: Unknown
% 1.71/1.64 % (32172)Termination phase: Saturation
% 1.71/1.64
% 1.71/1.64 % (32172)Memory used [KB]: 1151
% 1.71/1.64 % (32172)Time elapsed: 0.023 s
% 1.71/1.64 % (32172)Instructions burned: 44 (million)
% 1.71/1.64 % (32172)------------------------------
% 1.71/1.64 % (32172)------------------------------
% 1.71/1.64 % (32171)Instruction limit reached!
% 1.71/1.64 % (32171)------------------------------
% 1.71/1.64 % (32171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (32171)Termination reason: Unknown
% 1.71/1.64 % (32171)Termination phase: Saturation
% 1.71/1.64
% 1.71/1.64 % (32171)Memory used [KB]: 5628
% 1.71/1.64 % (32171)Time elapsed: 0.025 s
% 1.71/1.64 % (32171)Instructions burned: 48 (million)
% 1.71/1.64 % (32171)------------------------------
% 1.71/1.64 % (32171)------------------------------
% 1.71/1.65 % (32175)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/31Mi)
% 1.71/1.66 % (32176)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/96Mi)
% 1.71/1.66 % (32177)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/453Mi)
% 1.71/1.66 % (32178)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/71Mi)
% 1.71/1.66 % (32167)Instruction limit reached!
% 1.71/1.66 % (32167)------------------------------
% 1.71/1.66 % (32167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.66 % (32167)Termination reason: Unknown
% 1.71/1.66 % (32167)Termination phase: Saturation
% 1.71/1.66
% 1.71/1.66 % (32167)Memory used [KB]: 5756
% 1.71/1.66 % (32167)Time elapsed: 0.074 s
% 1.71/1.66 % (32167)Instructions burned: 150 (million)
% 1.71/1.66 % (32167)------------------------------
% 1.71/1.66 % (32167)------------------------------
% 1.71/1.66 % (32177)Refutation not found, incomplete strategy
% 1.71/1.66 % (32177)------------------------------
% 1.71/1.66 % (32177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.66 % (32177)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.66
% 1.71/1.66
% 1.71/1.66 % (32177)Memory used [KB]: 5500
% 1.71/1.66 % (32177)Time elapsed: 0.004 s
% 1.71/1.66 % (32177)Instructions burned: 2 (million)
% 1.71/1.66 % (32177)------------------------------
% 1.71/1.66 % (32177)------------------------------
% 1.71/1.66 % (32175)Instruction limit reached!
% 1.71/1.66 % (32175)------------------------------
% 1.71/1.66 % (32175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.66 % (32175)Termination reason: Unknown
% 1.71/1.66 % (32175)Termination phase: Saturation
% 1.71/1.66
% 1.71/1.66 % (32175)Memory used [KB]: 5628
% 1.71/1.66 % (32175)Time elapsed: 0.017 s
% 1.71/1.66 % (32175)Instructions burned: 31 (million)
% 1.71/1.66 % (32175)------------------------------
% 1.71/1.66 % (32175)------------------------------
% 1.71/1.68 % (32180)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/11Mi)
% 1.71/1.68 % (32179)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/83Mi)
% 1.71/1.68 % (32181)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/41Mi)
% 1.71/1.68 % (32181)Refutation not found, incomplete strategy
% 1.71/1.68 % (32181)------------------------------
% 1.71/1.68 % (32181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.68 % (32181)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.68
% 1.71/1.68
% 1.71/1.68 % (32181)Memory used [KB]: 5500
% 1.71/1.68 % (32181)Time elapsed: 0.004 s
% 1.71/1.68 % (32181)Instructions burned: 3 (million)
% 1.71/1.68 % (32181)------------------------------
% 1.71/1.68 % (32181)------------------------------
% 1.71/1.68 % (32180)Instruction limit reached!
% 1.71/1.68 % (32180)------------------------------
% 1.71/1.68 % (32180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.68 % (32180)Termination reason: Unknown
% 1.71/1.68 % (32180)Termination phase: Saturation
% 1.71/1.68
% 1.71/1.68 % (32180)Memory used [KB]: 5500
% 1.71/1.68 % (32180)Time elapsed: 0.008 s
% 1.71/1.68 % (32180)Instructions burned: 12 (million)
% 1.71/1.68 % (32180)------------------------------
% 1.71/1.68 % (32180)------------------------------
% 1.71/1.69 % (32178)Instruction limit reached!
% 1.71/1.69 % (32178)------------------------------
% 1.71/1.69 % (32178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.69 % (32178)Termination reason: Unknown
% 1.71/1.69 % (32178)Termination phase: Saturation
% 1.71/1.69
% 1.71/1.69 % (32178)Memory used [KB]: 5756
% 1.71/1.69 % (32178)Time elapsed: 0.037 s
% 1.71/1.69 % (32178)Instructions burned: 72 (million)
% 1.71/1.69 % (32178)------------------------------
% 1.71/1.69 % (32178)------------------------------
% 1.71/1.70 % (32182)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/6Mi)
% 1.71/1.70 % (32182)Instruction limit reached!
% 1.71/1.70 % (32182)------------------------------
% 1.71/1.70 % (32182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.70 % (32182)Termination reason: Unknown
% 1.71/1.70 % (32182)Termination phase: Saturation
% 1.71/1.70
% 1.71/1.70 % (32182)Memory used [KB]: 5500
% 1.71/1.70 % (32182)Time elapsed: 0.005 s
% 1.71/1.70 % (32182)Instructions burned: 6 (million)
% 1.71/1.70 % (32182)------------------------------
% 1.71/1.70 % (32182)------------------------------
% 1.71/1.70 % (32183)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/150Mi)
% 1.71/1.70 % (32176)Instruction limit reached!
% 1.71/1.70 % (32176)------------------------------
% 1.71/1.70 % (32176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.70 % (32176)Termination reason: Unknown
% 1.71/1.70 % (32176)Termination phase: Saturation
% 1.71/1.70
% 1.71/1.70 % (32176)Memory used [KB]: 5756
% 1.71/1.70 % (32176)Time elapsed: 0.049 s
% 1.71/1.70 % (32176)Instructions burned: 97 (million)
% 1.71/1.70 % (32176)------------------------------
% 1.71/1.70 % (32176)------------------------------
% 1.71/1.71 % (32184)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/343Mi)
% 1.71/1.71 % (32184)Refutation not found, incomplete strategy
% 1.71/1.71 % (32184)------------------------------
% 1.71/1.71 % (32184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.71 % (32184)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.71
% 1.71/1.71
% 1.71/1.71 % (32184)Memory used [KB]: 5500
% 1.71/1.71 % (32184)Time elapsed: 0.002 s
% 1.71/1.71 % (32184)Instructions burned: 1 (million)
% 1.71/1.71 % (32184)------------------------------
% 1.71/1.71 % (32184)------------------------------
% 1.71/1.72 % (32185)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/109Mi)
% 1.71/1.72 % (32179)Instruction limit reached!
% 1.71/1.72 % (32179)------------------------------
% 1.71/1.72 % (32179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.72 % (32179)Termination reason: Unknown
% 1.71/1.72 % (32179)Termination phase: Saturation
% 1.71/1.72
% 1.71/1.72 % (32179)Memory used [KB]: 5756
% 1.71/1.72 % (32179)Time elapsed: 0.043 s
% 1.71/1.72 % (32179)Instructions burned: 84 (million)
% 1.71/1.72 % (32179)------------------------------
% 1.71/1.72 % (32179)------------------------------
% 1.71/1.72 % (32186)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/253Mi)
% 1.71/1.72 % (32186)Refutation not found, incomplete strategy
% 1.71/1.72 % (32186)------------------------------
% 1.71/1.72 % (32186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.72 % (32186)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.72
% 1.71/1.72
% 1.71/1.72 % (32186)Memory used [KB]: 5500
% 1.71/1.72 % (32186)Time elapsed: 0.002 s
% 1.71/1.72 % (32186)Instructions burned: 1 (million)
% 1.71/1.72 % (32186)------------------------------
% 1.71/1.72 % (32186)------------------------------
% 1.71/1.73 % (32187)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/140Mi)
% 1.71/1.73 % (32187)Refutation not found, incomplete strategy
% 1.71/1.73 % (32187)------------------------------
% 1.71/1.73 % (32187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.73 % (32187)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.73
% 1.71/1.73
% 1.71/1.73 % (32187)Memory used [KB]: 5500
% 1.71/1.73 % (32187)Time elapsed: 0.002 s
% 1.71/1.73 % (32187)Instructions burned: 1 (million)
% 1.71/1.73 % (32187)------------------------------
% 1.71/1.73 % (32187)------------------------------
% 1.71/1.73 % (32188)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/614Mi)
% 1.71/1.74 % (32188)Refutation not found, incomplete strategy
% 1.71/1.74 % (32188)------------------------------
% 1.71/1.74 % (32188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.74 % (32188)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.74
% 1.71/1.74
% 1.71/1.74 % (32188)Memory used [KB]: 5500
% 1.71/1.74 % (32188)Time elapsed: 0.003 s
% 1.71/1.74 % (32188)Instructions burned: 1 (million)
% 1.71/1.74 % (32188)------------------------------
% 1.71/1.74 % (32188)------------------------------
% 1.71/1.74 % (32189)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/202Mi)
% 1.71/1.74 % (32189)Refutation not found, incomplete strategy
% 1.71/1.74 % (32189)------------------------------
% 1.71/1.74 % (32189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.74 % (32189)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.74
% 1.71/1.74
% 1.71/1.74 % (32189)Memory used [KB]: 5500
% 1.71/1.74 % (32189)Time elapsed: 0.002 s
% 1.71/1.74 % (32189)Instructions burned: 1 (million)
% 1.71/1.74 % (32189)------------------------------
% 1.71/1.74 % (32189)------------------------------
% 1.71/1.75 % (32190)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_31976 for (2997ds/339Mi)
% 1.71/1.75 % (32190)Refutation not found, incomplete strategy
% 1.71/1.75 % (32190)------------------------------
% 1.71/1.75 % (32190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.75 % (32190)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.75
% 1.71/1.75
% 1.71/1.75 % (32190)Memory used [KB]: 5500
% 1.71/1.75 % (32190)Time elapsed: 0.002 s
% 1.71/1.75 % (32190)Instructions burned: 1 (million)
% 1.71/1.75 % (32190)------------------------------
% 1.71/1.75 % (32190)------------------------------
% 1.71/1.75 % (32191)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/283Mi)
% 1.71/1.75 % (32192)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/134Mi)
% 1.71/1.76 % (32191)Refutation not found, incomplete strategy
% 1.71/1.76 % (32191)------------------------------
% 1.71/1.76 % (32191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.76 % (32191)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.76
% 1.71/1.76
% 1.71/1.76 % (32191)Memory used [KB]: 5500
% 1.71/1.76 % (32191)Time elapsed: 0.027 s
% 1.71/1.76 % (32191)Instructions burned: 8 (million)
% 1.71/1.76 % (32191)------------------------------
% 1.71/1.76 % (32191)------------------------------
% 1.71/1.76 % (32193)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/298Mi)
% 1.71/1.77 % (32185)Instruction limit reached!
% 1.71/1.77 % (32185)------------------------------
% 1.71/1.77 % (32185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.77 % (32185)Termination reason: Unknown
% 1.71/1.77 % (32185)Termination phase: Saturation
% 1.71/1.77
% 1.71/1.77 % (32185)Memory used [KB]: 6140
% 1.71/1.77 % (32185)Time elapsed: 0.055 s
% 1.71/1.77 % (32185)Instructions burned: 109 (million)
% 1.71/1.77 % (32185)------------------------------
% 1.71/1.77 % (32185)------------------------------
% 1.71/1.77 % (32183)Instruction limit reached!
% 1.71/1.77 % (32183)------------------------------
% 1.71/1.77 % (32183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.77 % (32183)Termination reason: Unknown
% 1.71/1.77 % (32183)Termination phase: Saturation
% 1.71/1.77
% 1.71/1.77 % (32183)Memory used [KB]: 5884
% 1.71/1.77 % (32183)Time elapsed: 0.074 s
% 1.71/1.77 % (32183)Instructions burned: 150 (million)
% 1.71/1.77 % (32183)------------------------------
% 1.71/1.77 % (32183)------------------------------
% 1.71/1.77 % (32194)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/192Mi)
% 1.71/1.78 % (32163)Instruction limit reached!
% 1.71/1.78 % (32163)------------------------------
% 1.71/1.78 % (32163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.78 % (32163)Termination reason: Unknown
% 1.71/1.78 % (32163)Termination phase: Saturation
% 1.71/1.78
% 1.71/1.78 % (32163)Memory used [KB]: 6524
% 1.71/1.78 % (32163)Time elapsed: 0.217 s
% 1.71/1.78 % (32163)Instructions burned: 448 (million)
% 1.71/1.78 % (32163)------------------------------
% 1.71/1.78 % (32163)------------------------------
% 1.71/1.79 % (32195)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/258Mi)
% 1.71/1.79 % (32196)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/90Mi)
% 1.71/1.79 % (32196)Refutation not found, incomplete strategy
% 1.71/1.79 % (32196)------------------------------
% 1.71/1.79 % (32196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.79 % (32196)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.79
% 1.71/1.79
% 1.71/1.79 % (32196)Memory used [KB]: 5500
% 1.71/1.79 % (32196)Time elapsed: 0.002 s
% 1.71/1.79 % (32196)Instructions burned: 1 (million)
% 1.71/1.79 % (32196)------------------------------
% 1.71/1.79 % (32196)------------------------------
% 1.71/1.80 % (32197)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/231Mi)
% 1.71/1.81 % (32198)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/458Mi)
% 1.71/1.81 % (32198)Refutation not found, incomplete strategy
% 1.71/1.81 % (32198)------------------------------
% 1.71/1.81 % (32198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.81 % (32198)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.81
% 1.71/1.81
% 1.71/1.81 % (32198)Memory used [KB]: 5500
% 1.71/1.81 % (32198)Time elapsed: 0.003 s
% 1.71/1.81 % (32198)Instructions burned: 2 (million)
% 1.71/1.81 % (32198)------------------------------
% 1.71/1.81 % (32198)------------------------------
% 1.71/1.82 % (32192)Instruction limit reached!
% 1.71/1.82 % (32192)------------------------------
% 1.71/1.82 % (32192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.82 % (32192)Termination reason: Unknown
% 1.71/1.82 % (32192)Termination phase: Saturation
% 1.71/1.82
% 1.71/1.82 % (32192)Memory used [KB]: 6012
% 1.71/1.82 % (32192)Time elapsed: 0.090 s
% 1.71/1.82 % (32192)Instructions burned: 135 (million)
% 1.71/1.82 % (32192)------------------------------
% 1.71/1.82 % (32192)------------------------------
% 1.71/1.82 % (32199)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_31976 for (2996ds/31Mi)
% 1.71/1.83 % (32143)Instruction limit reached!
% 1.71/1.83 % (32143)------------------------------
% 1.71/1.83 % (32143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.83 % (32143)Termination reason: Unknown
% 1.71/1.83 % (32143)Termination phase: Saturation
% 1.71/1.83
% 1.71/1.83 % (32143)Memory used [KB]: 7164
% 1.71/1.83 % (32143)Time elapsed: 0.337 s
% 1.71/1.83 % (32143)Instructions burned: 711 (million)
% 1.71/1.83 % (32143)------------------------------
% 1.71/1.83 % (32143)------------------------------
% 1.71/1.84 % (32200)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/297Mi)
% 1.71/1.84 % (32199)Instruction limit reached!
% 1.71/1.84 % (32199)------------------------------
% 1.71/1.84 % (32199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.84 % (32199)Termination reason: Unknown
% 1.71/1.84 % (32199)Termination phase: Saturation
% 1.71/1.84
% 1.71/1.84 % (32199)Memory used [KB]: 5628
% 1.71/1.84 % (32199)Time elapsed: 0.017 s
% 1.71/1.84 % (32199)Instructions burned: 31 (million)
% 1.71/1.84 % (32199)------------------------------
% 1.71/1.84 % (32199)------------------------------
% 1.71/1.85 % (32201)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/987Mi)
% 1.71/1.85 % (32201)Refutation not found, incomplete strategy
% 1.71/1.85 % (32201)------------------------------
% 1.71/1.85 % (32201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.85 % (32201)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.85
% 1.71/1.85
% 1.71/1.85 % (32201)Memory used [KB]: 5500
% 1.71/1.85 % (32201)Time elapsed: 0.005 s
% 1.71/1.85 % (32201)Instructions burned: 6 (million)
% 1.71/1.85 % (32201)------------------------------
% 1.71/1.85 % (32201)------------------------------
% 1.71/1.86 % (32202)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/182Mi)
% 1.71/1.87 % (32194)Instruction limit reached!
% 1.71/1.87 % (32194)------------------------------
% 1.71/1.87 % (32194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.87 % (32194)Termination reason: Unknown
% 1.71/1.87 % (32194)Termination phase: Saturation
% 1.71/1.87
% 1.71/1.87 % (32194)Memory used [KB]: 6140
% 1.71/1.87 % (32194)Time elapsed: 0.118 s
% 1.71/1.87 % (32194)Instructions burned: 192 (million)
% 1.71/1.87 % (32194)------------------------------
% 1.71/1.87 % (32194)------------------------------
% 1.71/1.87 % (32203)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/182Mi)
% 1.71/1.87 % (32203)Refutation not found, incomplete strategy
% 1.71/1.87 % (32203)------------------------------
% 1.71/1.87 % (32203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.87 % (32203)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.87
% 1.71/1.87
% 1.71/1.87 % (32203)Memory used [KB]: 5500
% 1.71/1.87 % (32203)Time elapsed: 0.002 s
% 1.71/1.87 % (32203)Instructions burned: 1 (million)
% 1.71/1.87 % (32203)------------------------------
% 1.71/1.87 % (32203)------------------------------
% 1.71/1.88 % (32204)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/154Mi)
% 1.71/1.88 % (32205)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/79Mi)
% 1.71/1.89 % (32205)Refutation not found, incomplete strategy
% 1.71/1.89 % (32205)------------------------------
% 1.71/1.89 % (32205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.89 % (32205)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.89
% 1.71/1.89
% 1.71/1.89 % (32205)Memory used [KB]: 5500
% 1.71/1.89 % (32205)Time elapsed: 0.002 s
% 1.71/1.89 % (32205)Instructions burned: 1 (million)
% 1.71/1.89 % (32205)------------------------------
% 1.71/1.89 % (32205)------------------------------
% 1.71/1.90 % (32206)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/216Mi)
% 1.71/1.90 % (32193)Instruction limit reached!
% 1.71/1.90 % (32193)------------------------------
% 1.71/1.90 % (32193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (32193)Termination reason: Unknown
% 1.71/1.90 % (32193)Termination phase: Saturation
% 1.71/1.90
% 1.71/1.90 % (32193)Memory used [KB]: 6268
% 1.71/1.90 % (32193)Time elapsed: 0.165 s
% 1.71/1.90 % (32193)Instructions burned: 298 (million)
% 1.71/1.90 % (32193)------------------------------
% 1.71/1.90 % (32193)------------------------------
% 1.71/1.91 % (32195)Instruction limit reached!
% 1.71/1.91 % (32195)------------------------------
% 1.71/1.91 % (32195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.91 % (32195)Termination reason: Unknown
% 1.71/1.91 % (32195)Termination phase: Saturation
% 1.71/1.91
% 1.71/1.91 % (32195)Memory used [KB]: 5756
% 1.71/1.91 % (32195)Time elapsed: 0.143 s
% 1.71/1.91 % (32195)Instructions burned: 259 (million)
% 1.71/1.91 % (32195)------------------------------
% 1.71/1.91 % (32195)------------------------------
% 1.71/1.91 % (32206)Refutation not found, incomplete strategy
% 1.71/1.91 % (32206)------------------------------
% 1.71/1.91 % (32206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.91 % (32206)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.91
% 1.71/1.91
% 1.71/1.91 % (32206)Memory used [KB]: 5500
% 1.71/1.91 % (32206)Time elapsed: 0.007 s
% 1.71/1.91 % (32206)Instructions burned: 9 (million)
% 1.71/1.91 % (32206)------------------------------
% 1.71/1.91 % (32206)------------------------------
% 1.71/1.92 % (32197)Instruction limit reached!
% 1.71/1.92 % (32197)------------------------------
% 1.71/1.92 % (32197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.92 % (32197)Termination reason: Unknown
% 1.71/1.92 % (32197)Termination phase: Saturation
% 1.71/1.92
% 1.71/1.92 % (32197)Memory used [KB]: 6140
% 1.71/1.92 % (32197)Time elapsed: 0.122 s
% 1.71/1.92 % (32197)Instructions burned: 232 (million)
% 1.71/1.92 % (32197)------------------------------
% 1.71/1.92 % (32197)------------------------------
% 1.71/1.92 % (32207)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/114Mi)
% 1.71/1.92 % (32207)Refutation not found, incomplete strategy
% 1.71/1.92 % (32207)------------------------------
% 1.71/1.92 % (32207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.92 % (32207)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 % (32207)Memory used [KB]: 5500
% 1.71/1.92 % (32207)Time elapsed: 0.002 s
% 1.71/1.92 % (32208)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/922Mi)
% 1.71/1.92 % (32207)Instructions burned: 1 (million)
% 1.71/1.92 % (32207)------------------------------
% 1.71/1.92 % (32207)------------------------------
% 1.71/1.92 % (32208)Refutation not found, incomplete strategy
% 1.71/1.92 % (32208)------------------------------
% 1.71/1.92 % (32208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.92 % (32208)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 % (32208)Memory used [KB]: 5500
% 1.71/1.92 % (32208)Time elapsed: 0.002 s
% 1.71/1.92 % (32208)Instructions burned: 1 (million)
% 1.71/1.92 % (32208)------------------------------
% 1.71/1.92 % (32208)------------------------------
% 1.71/1.92 % (32209)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/182Mi)
% 1.71/1.93 % (32209)Refutation not found, incomplete strategy
% 1.71/1.93 % (32209)------------------------------
% 1.71/1.93 % (32209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.93 % (32209)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 % (32209)Memory used [KB]: 5500
% 1.71/1.93 % (32209)Time elapsed: 0.003 s
% 1.71/1.93 % (32209)Instructions burned: 3 (million)
% 1.71/1.93 % (32209)------------------------------
% 1.71/1.93 % (32209)------------------------------
% 1.71/1.94 % (32210)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_31976 for (2995ds/164Mi)
% 1.71/1.94 % (32210)Refutation not found, incomplete strategy
% 1.71/1.94 % (32210)------------------------------
% 1.71/1.94 % (32210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.94 % (32210)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.94
% 1.71/1.94
% 1.71/1.94 % (32210)Memory used [KB]: 1023
% 1.71/1.94 % (32210)Time elapsed: 0.002 s
% 1.71/1.94 % (32210)Instructions burned: 1 (million)
% 1.71/1.94 % (32210)------------------------------
% 1.71/1.94 % (32210)------------------------------
% 1.71/1.94 % (32211)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_31976 for (2994ds/50Mi)
% 1.71/1.94 % (32212)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_31976 for (2994ds/368Mi)
% 1.71/1.94 % (32202)Instruction limit reached!
% 1.71/1.94 % (32202)------------------------------
% 1.71/1.94 % (32202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.94 % (32202)Termination reason: Unknown
% 1.71/1.94 % (32202)Termination phase: Saturation
% 1.71/1.94
% 1.71/1.94 % (32202)Memory used [KB]: 6140
% 1.71/1.94 % (32202)Time elapsed: 0.087 s
% 1.71/1.94 % (32202)Instructions burned: 182 (million)
% 1.71/1.94 % (32202)------------------------------
% 1.71/1.94 % (32202)------------------------------
% 1.71/1.94 % (32211)Refutation not found, incomplete strategy
% 1.71/1.94 % (32211)------------------------------
% 1.71/1.94 % (32211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.94 % (32211)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.94
% 1.71/1.94
% 1.71/1.94 % (32211)Memory used [KB]: 9978
% 1.71/1.94 % (32211)Time elapsed: 0.004 s
% 1.71/1.94 % (32211)Instructions burned: 3 (million)
% 1.71/1.94 % (32211)------------------------------
% 1.71/1.94 % (32211)------------------------------
% 1.71/1.94 % (32213)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_31976 for (2994ds/1021Mi)
% 1.71/1.95 % (32204)First to succeed.
% 1.71/1.95 % (32214)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_31976 for (2994ds/267Mi)
% 1.71/1.95 % (32204)Refutation found. Thanks to Tanya!
% 1.71/1.95 % SZS status Theorem for DTF2THF_31976
% 1.71/1.95 % SZS output start Proof for DTF2THF_31976
% 1.71/1.95 thf(func_def_0, type, cS: $i > $i).
% 1.71/1.95 thf(func_def_13, type, diff: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1) > X0)).
% 1.71/1.95 thf(func_def_14, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.71/1.95 thf(func_def_16, type, ph1: !>[X0: $tType]:(X0)).
% 1.71/1.95 thf(func_def_17, type, sK2: $i > $i > $i).
% 1.71/1.95 thf(func_def_21, type, sK3: ($i > $i) > $i).
% 1.71/1.95 thf(func_def_22, type, sK4: !>[X0: $tType]:((X0 > $i > $i > $i) > $i)).
% 1.71/1.95 thf(f114,plain,(
% 1.71/1.95 $false),
% 1.71/1.95 inference(equality_resolution,[status(thm)],[f101])).
% 1.71/1.95 thf(f101,plain,(
% 1.71/1.95 ( ! [X8 : $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (cS @ (sK2 @ Y1 @ Y1))))) != (^[Y0 : $i]: (X8)))) )),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f97])).
% 1.71/1.95 thf(f97,plain,(
% 1.71/1.95 ( ! [X9 : $tType,X10 : X9,X8 : $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (cS @ ((^[Y2 : X9]: ((^[Y3 : $i]: ((^[Y4 : $i]: (sK2 @ ((^[Y5 : X9]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : X9]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ X10 @ Y0 @ Y1))))) != (^[Y0 : $i]: (X8)))) )),
% 1.71/1.95 inference(equality_resolution,[status(thm)],[f83])).
% 1.71/1.95 thf(f83,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i,X4 : $i] : (((X2 @ (@@+ @ X1 @ (^[Y0 : X1]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = (^[Y2 : $i]: (cS @ (X2 @ Y0 @ Y1 @ Y2)))))))) @ (sK4 @ X1 @ (^[Y0 : X1]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X2 @ Y0 @ Y1 @ Y2)))))))) @ X4) != (sK2 @ (sK4 @ X1 @ (^[Y0 : X1]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X2 @ Y0 @ Y1 @ Y2)))))))) @ X4)) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: ((^[Y1 : $i]: (cS @ (X2 @ X3 @ Y0 @ Y1))))))) )),
% 1.71/1.95 inference(equality_resolution,[status(thm)],[f64])).
% 1.71/1.95 thf(f64,plain,(
% 1.71/1.95 ( ! [X2 : $tType,X3 : X2 > $i > $i > $i,X6 : $i > $i,X7 : X2,X4 : $i,X5 : $i] : (((sK2 @ (sK4 @ X2 @ (^[Y0 : X2]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X3 @ Y0 @ Y1 @ Y2)))))))) @ X4) != X5) | ((^[Y0 : $i]: (X6)) != (^[Y0 : $i]: ((^[Y1 : $i]: (cS @ (X3 @ X7 @ Y0 @ Y1)))))) | ((X3 @ (@@+ @ X2 @ (^[Y0 : X2]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = (^[Y2 : $i]: (cS @ (X3 @ Y0 @ Y1 @ Y2)))))))) @ (sK4 @ X2 @ (^[Y0 : X2]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X3 @ Y0 @ Y1 @ Y2)))))))) @ X4) != X5)) )),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f56])).
% 1.71/1.95 thf(f56,plain,(
% 1.71/1.95 ( ! [X2 : $tType,X3 : X2 > $i > $i > $i,X6 : $i > $i,X7 : X2,X4 : $i,X5 : $i] : (((^[Y0 : $i]: (X6)) != ((^[Y0 : X2]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X3 @ Y0 @ Y1 @ Y2))))))) @ X7)) | ((sK2 @ (sK4 @ X2 @ (^[Y0 : X2]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X3 @ Y0 @ Y1 @ Y2)))))))) @ X4) != X5) | ((X3 @ (@@+ @ X2 @ (^[Y0 : X2]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = ((^[Y2 : X2]: ((^[Y3 : $i]: ((^[Y4 : $i]: (cS @ (X3 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1)))))) @ (sK4 @ X2 @ (^[Y0 : X2]: ((^[Y1 : $i]: ((^[Y2 : $i]: (cS @ (X3 @ Y0 @ Y1 @ Y2)))))))) @ X4) != X5)) )),
% 1.71/1.95 inference(constrained_superposition,[status(thm)],[f15,f39])).
% 1.71/1.95 thf(f39,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i,X4 : $i] : (((X2 @ (@@+ @ X1 @ (^[Y0 : X1]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = (X2 @ Y0 @ Y1)))))) @ (sK4 @ X1 @ X2) @ X4) = (sK2 @ (sK4 @ X1 @ X2) @ X4)) | ((^[Y0 : $i]: (X0)) != (X2 @ X3))) )),
% 1.71/1.95 inference(argument_congruence,[status(thm)],[f38])).
% 1.71/1.95 thf(f38,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i] : (((X2 @ (@@+ @ X1 @ (^[Y0 : X1]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = (X2 @ Y0 @ Y1)))))) @ (sK4 @ X1 @ X2)) = (sK2 @ (sK4 @ X1 @ X2))) | ((^[Y0 : $i]: (X0)) != (X2 @ X3))) )),
% 1.71/1.95 inference(equality_proxy_clausification,[status(thm)],[f35])).
% 1.71/1.95 thf(f35,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i] : (((^[Y0 : $i]: (X0)) != (X2 @ X3)) | ($true = ((sK2 @ (sK4 @ X1 @ X2)) = (X2 @ (@@+ @ X1 @ (^[Y0 : X1]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = (X2 @ Y0 @ Y1)))))) @ (sK4 @ X1 @ X2))))) )),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f30])).
% 1.71/1.95 thf(f30,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i] : (((^[Y0 : $i]: (X0)) != (X2 @ X3)) | (((^[Y0 : $i]: ((sK2 @ Y0) = (X2 @ (@@+ @ X1 @ (^[Y1 : X1]: (?? @ $i @ (^[Y2 : $i]: ((sK2 @ Y2) = (X2 @ Y1 @ Y2)))))) @ Y0))) @ (sK4 @ X1 @ X2)) = $true)) )),
% 1.71/1.95 inference(sigma_clausification,[status(thm)],[f25])).
% 1.71/1.95 thf(f25,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i] : (($true = (?? @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) = (X2 @ (@@+ @ X1 @ (^[Y1 : X1]: (?? @ $i @ (^[Y2 : $i]: ((sK2 @ Y2) = (X2 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (X0)) != (X2 @ X3))) )),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f24])).
% 1.71/1.95 thf(f24,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i] : (((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X2 @ X3 @ Y0))) | ($true = ((^[Y0 : X1]: (?? @ $i @ ((^[Y1 : X1]: ((^[Y2 : $i]: (((^[Y3 : X1]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sK2 @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))) @ Y3 @ Y4 @ Y5) @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2) = (X2 @ Y1 @ Y2))))) @ Y0))) @ (@@+ @ X1 @ (^[Y0 : X1]: (?? @ $i @ ((^[Y1 : X1]: ((^[Y2 : $i]: (((^[Y3 : X1]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sK2 @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))) @ Y3 @ Y4 @ Y5) @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2) = (X2 @ Y1 @ Y2))))) @ Y0))))))) )),
% 1.71/1.95 inference(trivial_inequality_removal,[status(thm)],[f22])).
% 1.71/1.95 thf(f22,plain,(
% 1.71/1.95 ( ! [X1 : $tType,X2 : X1 > $i > $i > $i,X3 : X1,X0 : $i > $i] : (($true = ((^[Y0 : X1]: (?? @ $i @ ((^[Y1 : X1]: ((^[Y2 : $i]: (((^[Y3 : X1]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sK2 @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))) @ Y3 @ Y4 @ Y5) @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2) = (X2 @ Y1 @ Y2))))) @ Y0))) @ (@@+ @ X1 @ (^[Y0 : X1]: (?? @ $i @ ((^[Y1 : X1]: ((^[Y2 : $i]: (((^[Y3 : X1]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sK2 @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))) @ Y3 @ Y4 @ Y5) @ ((^[Y6 : X1]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2) = (X2 @ Y1 @ Y2))))) @ Y0)))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X2 @ X3 @ Y0))) | ($true = $false)) )),
% 1.71/1.95 inference(constrained_superposition,[status(thm)],[f6,f19])).
% 1.71/1.95 thf(f19,plain,(
% 1.71/1.95 ( ! [X1 : $i > $i] : (($true = (?? @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) = X1))))) )),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f18])).
% 1.71/1.95 thf(f18,plain,(
% 1.71/1.95 ( ! [X1 : $i > $i] : (($true = ((^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = Y0)))) @ X1))) )),
% 1.71/1.95 inference(pi_clausification,[status(thm)],[f17])).
% 1.71/1.95 thf(f17,plain,(
% 1.71/1.95 ($true = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ Y1) = Y0))))))),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f16])).
% 1.71/1.95 thf(f16,plain,(
% 1.71/1.95 ($true = ((^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1)))))) @ sK2))),
% 1.71/1.95 inference(sigma_clausification,[status(thm)],[f11])).
% 1.71/1.95 thf(f11,plain,(
% 1.71/1.95 ($true = (?? @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1))))))))),
% 1.71/1.95 inference(not_proxy_clausification,[status(thm)],[f9])).
% 1.71/1.95 thf(f9,plain,(
% 1.71/1.95 ((~ (?? @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1)))))))) = $false)),
% 1.71/1.95 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 1.71/1.95 thf(f8,plain,(
% 1.71/1.95 (((!! @ $i @ (^[Y0 : $i]: (~ ((cS @ Y0) = Y0)))) => (~ (?? @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1))))))))) = $false)),
% 1.71/1.95 inference(not_proxy_clausification,[status(thm)],[f7])).
% 1.71/1.95 thf(f7,plain,(
% 1.71/1.95 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (~ ((cS @ Y0) = Y0)))) => (~ (?? @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1)))))))))))),
% 1.71/1.95 inference(cnf_transformation,[status(thm)],[f4])).
% 1.71/1.95 thf(f4,plain,(
% 1.71/1.95 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (~ ((cS @ Y0) = Y0)))) => (~ (?? @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1)))))))))))),
% 1.71/1.95 inference(fool_elimination,[status(thm)],[f2])).
% 1.71/1.95 thf(f2,negated_conjecture,(
% 1.71/1.95 ~(! [X0 : $i] : ((cS @ X0) != X0) => ~? [X1 : $i > $i > $i] : ! [X2 : $i > $i] : ? [X3 : $i] : ((X1 @ X3) = X2))),
% 1.71/1.95 inference(negated_conjecture,[status(cth)],[f1])).
% 1.71/1.95 thf(f1,conjecture,(
% 1.71/1.95 ! [X0 : $i] : ((cS @ X0) != X0) => ~? [X1 : $i > $i > $i] : ! [X2 : $i > $i] : ? [X3 : $i] : ((X1 @ X3) = X2)),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/tmp.j3B2jD0DgU/DTF2THF_31976.p',cTHM6)).
% 1.71/1.95 thf(f6,plain,(
% 1.71/1.95 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (($true = (X1 @ (@@+ @ X0 @ X1))) | ($false = (X1 @ X2))) )),
% 1.71/1.95 introduced(definition,[],[choice_axiom])).
% 1.71/1.95 thf(f15,plain,(
% 1.71/1.95 ( ! [X1 : $i] : (((cS @ X1) != X1)) )),
% 1.71/1.95 inference(equality_proxy_clausification,[status(thm)],[f14])).
% 1.71/1.95 thf(f14,plain,(
% 1.71/1.95 ( ! [X1 : $i] : (($false = ((cS @ X1) = X1))) )),
% 1.71/1.95 inference(not_proxy_clausification,[status(thm)],[f13])).
% 1.71/1.95 thf(f13,plain,(
% 1.71/1.95 ( ! [X1 : $i] : (($true = (~ ((cS @ X1) = X1)))) )),
% 1.71/1.95 inference(beta_eta_normalization,[status(thm)],[f12])).
% 1.71/1.95 thf(f12,plain,(
% 1.71/1.95 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ ((cS @ Y0) = Y0))) @ X1))) )),
% 1.71/1.95 inference(pi_clausification,[status(thm)],[f10])).
% 1.71/1.95 thf(f10,plain,(
% 1.71/1.95 ((!! @ $i @ (^[Y0 : $i]: (~ ((cS @ Y0) = Y0)))) = $true)),
% 1.71/1.95 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 1.71/1.95 % SZS output end Proof for DTF2THF_31976
% 1.71/1.95 % (32204)------------------------------
% 1.71/1.95 % (32204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.95 % (32204)Termination reason: Refutation
% 1.71/1.95
% 1.71/1.95 % (32204)Memory used [KB]: 6524
% 1.71/1.95 % (32204)Time elapsed: 0.071 s
% 1.71/1.95 % (32204)Instructions burned: 144 (million)
% 1.71/1.95 % (32204)------------------------------
% 1.71/1.95 % (32204)------------------------------
% 1.71/1.95 % (32122)Success in time 0.529 s
%------------------------------------------------------------------------------