%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO239^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 09:53:44 AM UTC 2026
% Result : Theorem 1.55s 1.84s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 73 equ; 0 cnn)
% Maximal formula atoms : 2 ( 7 avg)
% Number of connectives : 413 ( 37 ~; 4 |; 0 &; 316 @)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 6 usr; 5 con; 0-2 aty)
% ( 10 !!; 34 ??; 0 @@+; 0 @@-)
% Number of variables : 144 ( 113 ^; 22 !; 9 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
s: $i > $i ).
thf(func_def_2,type,
c_star: $i > $i > $i ).
thf(func_def_15,type,
ph0:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_18,type,
sK2: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(f319,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f318]) ).
thf(f318,plain,
( ( ^ [Y0: $i] :
( sK1
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( c_star @ c2 @ Y2 )
= ( s @ Y1 ) ) ) ) )
!= ( ^ [Y0: $i] :
( sK1
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( c_star @ c2 @ Y2 )
= ( s @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f317]) ).
thf(f317,plain,
( ( ^ [Y0: $i] :
( sK1
@ ^ [Y1: $i] :
( ?? @ $i
@ ( ^ [Y2: $i,Y3: $i] :
( ( ^ [Y4: $i,Y5: $i] :
( c_star
@ ( ^ [Y6: $i,Y7: $i] : c2
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
= ( ^ [Y4: $i,Y5: $i] :
( s
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) ) ) )
!= ( ^ [Y0: $i,Y1: $i] : Y0
@ ( sK1
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: $i,X1: $i > $i > $i] :
( ( ( X1
@ ( s
@ ( sK1
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ ( X1 @ Y0 @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: $i] : ( s @ X0 ) ) )
| ( ( X1
@ ( sK1
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ ( X1 @ Y0 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: $i] : X0 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f109]) ).
thf(f109,plain,
! [X0: $i,X1: $i > $i > $i] :
( ( ( X1
@ ( s
@ ( sK1
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ ( X1 @ Y0 @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: $i] : ( s @ X0 ) ) )
| ( ( ^ [Y0: $i] :
( X1
@ ( sK1
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( c_star @ c2 @ Y2 )
= ( s @ ( X1 @ Y1 @ Y2 ) ) ) ) )
@ Y0 ) )
!= ( ^ [Y0: $i] : X0 ) ) ),
inference(equality_resolution,[status(thm)],[f77]) ).
thf(f77,plain,
! [X0: $i,X1: $i > $i > $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= X0 ) )
!= ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= ( s
@ ( X1
@ ( sK1
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( c_star @ c2 @ Y2 )
= ( s @ ( X1 @ Y1 @ Y2 ) ) ) ) )
@ Y0 ) ) ) ) )
| ( ( X1
@ ( s
@ ( sK1
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ ( X1 @ Y0 @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: $i] : X0 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f73]) ).
thf(f73,plain,
! [X0: $i,X1: $i > $i > $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= X0 ) )
!= ( ^ [Y0: $i] :
( ?? @ $i
@ ( ^ [Y1: $i,Y2: $i] :
( ( ^ [Y3: $i,Y4: $i] :
( c_star
@ ( ^ [Y5: $i,Y6: $i] : c2
@ Y3
@ Y4 )
@ ( ^ [Y5: $i,Y6: $i] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 )
= ( ^ [Y3: $i,Y4: $i] : ( s @ ( X1 @ Y3 @ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] :
( ?? @ $i
@ ( ^ [Y1: $i,Y2: $i] :
( ( ^ [Y3: $i,Y4: $i] :
( c_star
@ ( ^ [Y5: $i,Y6: $i] : c2
@ Y3
@ Y4 )
@ ( ^ [Y5: $i,Y6: $i] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 )
= ( ^ [Y3: $i,Y4: $i] : ( s @ ( X1 @ Y3 @ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: $i] :
( X1
@ ( s
@ ( sK1
@ ^ [Y1: $i] :
( ?? @ $i
@ ( ^ [Y2: $i,Y3: $i] :
( ( ^ [Y4: $i,Y5: $i] :
( c_star
@ ( ^ [Y6: $i,Y7: $i] : c2
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
= ( ^ [Y4: $i,Y5: $i] : ( s @ ( X1 @ Y4 @ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) ) ) )
@ Y0 ) )
!= ( ^ [Y0: $i] : X0 ) ) ),
inference(constrained_superposition,[status(thm)],[f21,f66]) ).
thf(f66,plain,
! [X1: $i] :
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= X1 ) )
= ( ~ ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= ( s @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
! [X1: $i] :
( $true
= ( ( ~ ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= ( s @ X1 ) ) ) )
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( c_star @ c2 @ Y0 )
= X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f60]) ).
thf(f60,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ~ ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ Y0 ) ) ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ Y0 ) ) ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ Y0 ) ) ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= Y0 ) ) ) )
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
= ( ~ ( Y0 @ ( s @ Y1 ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ Y0 ) ) ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= Y0 ) ) ) )
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
= ( ~ ( Y0 @ ( s @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= ( s @ Y0 ) ) ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( c_star @ c2 @ Y1 )
= Y0 ) ) ) )
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
= ( ~ ( Y0 @ ( s @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: $i] :
( ~ ? [X1: $i] :
( ( c_star @ c2 @ X1 )
= ( s @ X0 ) )
<=> ? [X2: $i] :
( ( c_star @ c2 @ X2 )
= X0 ) )
=> ? [X3: $i > $o] :
! [X4: $i] :
( ( X3 @ X4 )
<=> ~ ( X3 @ ( s @ X4 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i] :
( ~ ? [X2: $i] :
( ( s @ X0 )
= ( c_star @ c2 @ X2 ) )
<=> ? [X1: $i] :
( ( c_star @ c2 @ X1 )
= X0 ) )
=> ? [X3: $i > $o] :
! [X0: $i] :
( ( X3 @ X0 )
<=> ~ ( X3 @ ( s @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i] :
( ~ ? [X2: $i] :
( ( s @ X0 )
= ( c_star @ c2 @ X2 ) )
<=> ? [X1: $i] :
( ( c_star @ c2 @ X1 )
= X0 ) )
=> ? [X3: $i > $o] :
! [X0: $i] :
( ( X3 @ X0 )
<=> ~ ( X3 @ ( s @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yRPLYuf0b9/DTF2THF_3600.p',cBLEDSOE_FENG_SV_EO1_W_LEM) ).
thf(f21,plain,
! [X1: $i > $o] :
( ( X1 @ ( sK1 @ X1 ) )
!= ( ~ ( X1 @ ( s @ ( sK1 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
! [X1: $i > $o] :
( $false
= ( ( X1 @ ( sK1 @ X1 ) )
= ( ~ ( X1 @ ( s @ ( sK1 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f19]) ).
thf(f19,plain,
! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
= ( ~ ( X1 @ ( s @ Y0 ) ) ) )
@ ( sK1 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
! [X1: $i > $o] :
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
= ( ~ ( X1 @ ( s @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
= ( ~ ( Y0 @ ( s @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
= ( ~ ( Y0 @ ( s @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO239^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.29 % Computer : n018.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Tue Feb 24 14:26:31 EST 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.39 ---- Original DTF file ---
% 0.16/0.39 thf(spec,logic,$$dhol).
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 % File : SYO239^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.39 % Domain : Syntactic
% 0.16/0.39 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.16/0.39 % Version : Especial.
% 0.16/0.39 % English :
% 0.16/0.39
% 0.16/0.39 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.39 % Source : [Bro09]
% 0.16/0.39 % Names : tps_0856 [Bro09]
% 0.16/0.39
% 0.16/0.39 % Status : Theorem
% 0.16/0.39 % Rating : 0.78 v9.1.0, 0.62 v9.0.0, 0.80 v8.2.0, 0.85 v8.1.0, 0.73 v7.5.0, 0.71 v7.4.0, 0.67 v7.2.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.86 v6.1.0, 0.71 v6.0.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.80 v5.3.0, 1.00 v5.2.0, 0.80 v4.1.0, 1.00 v4.0.0
% 0.16/0.39 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.16/0.39 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.16/0.39 % Maximal formula atoms : 2 ( 2 avg)
% 0.16/0.39 % Number of connectives : 13 ( 2 ~; 0 |; 0 &; 8 @)
% 0.16/0.39 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.16/0.39 % Maximal formula depth : 8 ( 8 avg)
% 0.16/0.39 % Number of types : 2 ( 0 usr)
% 0.16/0.39 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.16/0.39 % Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% 0.16/0.39 % Number of variables : 5 ( 0 ^; 2 !; 3 ?; 5 :)
% 0.16/0.39 % SPC : TH0_THM_EQU_NAR
% 0.16/0.39
% 0.16/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.39 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.39 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 thf(s,type,
% 0.16/0.39 s: $i > $i ).
% 0.16/0.39
% 0.16/0.39 thf(c2,type,
% 0.16/0.39 c2: $i ).
% 0.16/0.39
% 0.16/0.39 thf(c_star,type,
% 0.16/0.39 c_star: $i > $i > $i ).
% 0.16/0.39
% 0.16/0.39 thf(cBLEDSOE_FENG_SV_EO1_W_LEM,conjecture,
% 0.16/0.39 ( ! [Xx: $i] :
% 0.16/0.39 ( ? [Xu: $i] :
% 0.16/0.39 ( Xx
% 0.16/0.39 = ( c_star @ c2 @ Xu ) )
% 0.16/0.39 <=> ~ ? [Xv: $i] :
% 0.16/0.39 ( ( s @ Xx )
% 0.16/0.39 = ( c_star @ c2 @ Xv ) ) )
% 0.16/0.39 => ? [A: $i > $o] :
% 0.16/0.39 ! [Xx: $i] :
% 0.16/0.39 ( ( A @ Xx )
% 0.16/0.39 <=> ~ ( A @ ( s @ Xx ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 ------------------------
% 1.35/1.28 ---- Embedded in THF ---
% 1.35/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.35/1.28 %%% Generated on Tue Feb 24 14:26:32 EST 2026
% 1.35/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.35/1.28 %%% Logic specification used:
% 1.35/1.28 %%% thf(spec, logic, $$dhol).
% 1.35/1.28
% 1.35/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.yRPLYuf0b9/DTF2DTF3600.p
% See solution above
% 1.35/1.28 ------------------------
% 1.35/1.29 ---- Cleaned THF ---
% 1.35/1.29 thf(s,type,
% 1.35/1.29 s: $i > $i ).
% 1.35/1.29
% 1.35/1.29 thf(c2,type,
% 1.35/1.29 c2: $i ).
% 1.35/1.29
% 1.35/1.29 thf(c_star,type,
% 1.35/1.29 c_star: $i > $i > $i ).
% 1.35/1.29
% 1.35/1.29 thf(cBLEDSOE_FENG_SV_EO1_W_LEM,conjecture,
% 1.35/1.29 ( ! [Xx: $i] :
% 1.35/1.29 ( ? [Xu: $i] :
% 1.35/1.29 ( Xx
% 1.35/1.29 = ( c_star @ c2 @ Xu ) )
% 1.35/1.29 <=> ~ ? [Xv: $i] :
% 1.35/1.29 ( ( s @ Xx )
% 1.35/1.29 = ( c_star @ c2 @ Xv ) ) )
% 1.35/1.29 => ? [A: $i > $o] :
% 1.35/1.29 ! [Xx: $i] :
% 1.35/1.29 ( ( A @ Xx )
% 1.35/1.29 <=> ~ ( A @ ( s @ Xx ) ) ) ) ).
% 1.35/1.29 ------------------------
% 1.55/1.31 % (3701)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_3600 for (2999ds/2Mi)
% 1.55/1.31 % (3703)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/18Mi)
% 1.55/1.31 % (3698)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_3600 for (2999ds/4Mi)
% 1.55/1.31 % (3697)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/183Mi)
% 1.55/1.31 % (3700)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/2Mi)
% 1.55/1.31 % (3699)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_3600 for (2999ds/27Mi)
% 1.55/1.31 % (3702)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_3600 for (2999ds/275Mi)
% 1.55/1.31 % (3700)Instruction limit reached!
% 1.55/1.31 % (3700)------------------------------
% 1.55/1.31 % (3700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (3700)Termination reason: Unknown
% 1.55/1.31 % (3701)Instruction limit reached!
% 1.55/1.31 % (3701)------------------------------
% 1.55/1.31 % (3701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (3700)Termination phase: Saturation
% 1.55/1.31
% 1.55/1.31 % (3700)Memory used [KB]: 5500
% 1.55/1.31 % (3700)Time elapsed: 0.003 s
% 1.55/1.31 % (3700)Instructions burned: 2 (million)
% 1.55/1.31 % (3700)------------------------------
% 1.55/1.31 % (3700)------------------------------
% 1.55/1.31 % (3701)Termination reason: Unknown
% 1.55/1.31 % (3701)Termination phase: Saturation
% 1.55/1.31
% 1.55/1.31 % (3701)Memory used [KB]: 5500
% 1.55/1.31 % (3701)Time elapsed: 0.003 s
% 1.55/1.32 % (3701)Instructions burned: 2 (million)
% 1.55/1.32 % (3701)------------------------------
% 1.55/1.32 % (3701)------------------------------
% 1.55/1.32 % (3698)Instruction limit reached!
% 1.55/1.32 % (3698)------------------------------
% 1.55/1.32 % (3698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.32 % (3698)Termination reason: Unknown
% 1.55/1.32 % (3698)Termination phase: Saturation
% 1.55/1.32
% 1.55/1.32 % (3698)Memory used [KB]: 5500
% 1.55/1.32 % (3698)Time elapsed: 0.005 s
% 1.55/1.32 % (3698)Instructions burned: 5 (million)
% 1.55/1.32 % (3698)------------------------------
% 1.55/1.32 % (3698)------------------------------
% 1.55/1.32 % (3699)Refutation not found, incomplete strategy
% 1.55/1.32 % (3699)------------------------------
% 1.55/1.32 % (3699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.32 % (3699)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.32
% 1.55/1.32
% 1.55/1.32 % (3699)Memory used [KB]: 5500
% 1.55/1.32 % (3699)Time elapsed: 0.006 s
% 1.55/1.32 % (3699)Instructions burned: 7 (million)
% 1.55/1.32 % (3699)------------------------------
% 1.55/1.32 % (3699)------------------------------
% 1.55/1.32 % (3703)Instruction limit reached!
% 1.55/1.32 % (3703)------------------------------
% 1.55/1.32 % (3703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.32 % (3703)Termination reason: Unknown
% 1.55/1.32 % (3703)Termination phase: Saturation
% 1.55/1.32
% 1.55/1.32 % (3703)Memory used [KB]: 5628
% 1.55/1.32 % (3703)Time elapsed: 0.012 s
% 1.55/1.32 % (3703)Instructions burned: 19 (million)
% 1.55/1.32 % (3703)------------------------------
% 1.55/1.32 % (3703)------------------------------
% 1.55/1.33 % (3705)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_3600 for (2999ds/37Mi)
% 1.55/1.33 % (3704)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/3Mi)
% 1.55/1.33 % (3706)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_3600 for (2999ds/15Mi)
% 1.55/1.33 % (3704)Instruction limit reached!
% 1.55/1.33 % (3704)------------------------------
% 1.55/1.33 % (3704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.33 % (3704)Termination reason: Unknown
% 1.55/1.33 % (3704)Termination phase: Saturation
% 1.55/1.33
% 1.55/1.33 % (3704)Memory used [KB]: 5500
% 1.55/1.33 % (3704)Time elapsed: 0.004 s
% 1.55/1.33 % (3704)Instructions burned: 4 (million)
% 1.55/1.33 % (3704)------------------------------
% 1.55/1.33 % (3704)------------------------------
% 1.55/1.33 % (3707)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_3600 for (2999ds/3Mi)
% 1.55/1.34 % (3707)Instruction limit reached!
% 1.55/1.34 % (3707)------------------------------
% 1.55/1.34 % (3707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.34 % (3707)Termination reason: Unknown
% 1.55/1.34 % (3707)Termination phase: Saturation
% 1.55/1.34
% 1.55/1.34 % (3707)Memory used [KB]: 5500
% 1.55/1.34 % (3707)Time elapsed: 0.003 s
% 1.55/1.34 % (3707)Instructions burned: 3 (million)
% 1.55/1.34 % (3707)------------------------------
% 1.55/1.34 % (3707)------------------------------
% 1.55/1.34 % (3708)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_3600 for (2999ds/1041Mi)
% 1.55/1.34 % (3706)Refutation not found, incomplete strategy
% 1.55/1.34 % (3706)------------------------------
% 1.55/1.34 % (3706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.34 % (3706)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.34
% 1.55/1.34
% 1.55/1.34 % (3706)Memory used [KB]: 5500
% 1.55/1.34 % (3706)Time elapsed: 0.009 s
% 1.55/1.34 % (3706)Instructions burned: 14 (million)
% 1.55/1.34 % (3706)------------------------------
% 1.55/1.34 % (3706)------------------------------
% 1.55/1.35 % (3705)Instruction limit reached!
% 1.55/1.35 % (3705)------------------------------
% 1.55/1.35 % (3705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.35 % (3705)Termination reason: Unknown
% 1.55/1.35 % (3705)Termination phase: Saturation
% 1.55/1.35
% 1.55/1.35 % (3705)Memory used [KB]: 5756
% 1.55/1.35 % (3705)Time elapsed: 0.020 s
% 1.55/1.35 % (3705)Instructions burned: 38 (million)
% 1.55/1.35 % (3705)------------------------------
% 1.55/1.35 % (3705)------------------------------
% 1.55/1.35 % (3709)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/7Mi)
% 1.55/1.35 % (3710)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/16Mi)
% 1.55/1.35 % (3709)Instruction limit reached!
% 1.55/1.35 % (3709)------------------------------
% 1.55/1.35 % (3709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.35 % (3709)Termination reason: Unknown
% 1.55/1.35 % (3709)Termination phase: Saturation
% 1.55/1.35
% 1.55/1.35 % (3709)Memory used [KB]: 1023
% 1.55/1.35 % (3709)Time elapsed: 0.006 s
% 1.55/1.35 % (3709)Instructions burned: 7 (million)
% 1.55/1.35 % (3709)------------------------------
% 1.55/1.35 % (3709)------------------------------
% 1.55/1.36 % (3711)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_3600 for (2999ds/3Mi)
% 1.55/1.36 % (3711)Instruction limit reached!
% 1.55/1.36 % (3711)------------------------------
% 1.55/1.36 % (3711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.36 % (3711)Termination reason: Unknown
% 1.55/1.36 % (3711)Termination phase: Saturation
% 1.55/1.36
% 1.55/1.36 % (3711)Memory used [KB]: 5500
% 1.55/1.36 % (3711)Time elapsed: 0.003 s
% 1.55/1.36 % (3711)Instructions burned: 3 (million)
% 1.55/1.36 % (3711)------------------------------
% 1.55/1.36 % (3711)------------------------------
% 1.55/1.36 % (3710)Instruction limit reached!
% 1.55/1.36 % (3710)------------------------------
% 1.55/1.36 % (3710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.36 % (3710)Termination reason: Unknown
% 1.55/1.36 % (3710)Termination phase: Saturation
% 1.55/1.36
% 1.55/1.36 % (3710)Memory used [KB]: 5628
% 1.55/1.36 % (3710)Time elapsed: 0.011 s
% 1.55/1.36 % (3710)Instructions burned: 17 (million)
% 1.55/1.36 % (3710)------------------------------
% 1.55/1.36 % (3710)------------------------------
% 1.55/1.37 % (3712)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_3600 for (2999ds/3Mi)
% 1.55/1.37 % (3712)Instruction limit reached!
% 1.55/1.37 % (3712)------------------------------
% 1.55/1.37 % (3712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.37 % (3712)Termination reason: Unknown
% 1.55/1.37 % (3712)Termination phase: Saturation
% 1.55/1.37
% 1.55/1.37 % (3712)Memory used [KB]: 1023
% 1.55/1.37 % (3712)Time elapsed: 0.003 s
% 1.55/1.37 % (3712)Instructions burned: 3 (million)
% 1.55/1.37 % (3712)------------------------------
% 1.55/1.37 % (3712)------------------------------
% 1.55/1.37 % (3713)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/7Mi)
% 1.55/1.37 % (3714)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/3Mi)
% 1.55/1.37 % (3713)Instruction limit reached!
% 1.55/1.37 % (3713)------------------------------
% 1.55/1.37 % (3713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.37 % (3713)Termination reason: Unknown
% 1.55/1.37 % (3713)Termination phase: Saturation
% 1.55/1.37
% 1.55/1.37 % (3713)Memory used [KB]: 5500
% 1.55/1.37 % (3713)Time elapsed: 0.006 s
% 1.55/1.37 % (3713)Instructions burned: 8 (million)
% 1.55/1.37 % (3713)------------------------------
% 1.55/1.37 % (3713)------------------------------
% 1.55/1.38 % (3714)Instruction limit reached!
% 1.55/1.38 % (3714)------------------------------
% 1.55/1.38 % (3714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.38 % (3714)Termination reason: Unknown
% 1.55/1.38 % (3714)Termination phase: Saturation
% 1.55/1.38
% 1.55/1.38 % (3714)Memory used [KB]: 5500
% 1.55/1.38 % (3714)Time elapsed: 0.003 s
% 1.55/1.38 % (3714)Instructions burned: 3 (million)
% 1.55/1.38 % (3714)------------------------------
% 1.55/1.38 % (3714)------------------------------
% 1.55/1.38 % (3715)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/4Mi)
% 1.55/1.38 % (3715)Instruction limit reached!
% 1.55/1.38 % (3715)------------------------------
% 1.55/1.38 % (3715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.38 % (3715)Termination reason: Unknown
% 1.55/1.38 % (3715)Termination phase: Saturation
% 1.55/1.38
% 1.55/1.38 % (3715)Memory used [KB]: 5500
% 1.55/1.38 % (3715)Time elapsed: 0.004 s
% 1.55/1.38 % (3715)Instructions burned: 4 (million)
% 1.55/1.38 % (3715)------------------------------
% 1.55/1.38 % (3715)------------------------------
% 1.55/1.38 % (3716)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/18Mi)
% 1.55/1.39 % (3717)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/710Mi)
% 1.55/1.39 % (3718)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/6Mi)
% 1.55/1.39 % (3716)Instruction limit reached!
% 1.55/1.39 % (3716)------------------------------
% 1.55/1.39 % (3716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.39 % (3716)Termination reason: Unknown
% 1.55/1.39 % (3716)Termination phase: Saturation
% 1.55/1.39
% 1.55/1.39 % (3716)Memory used [KB]: 5500
% 1.55/1.39 % (3716)Time elapsed: 0.011 s
% 1.55/1.39 % (3716)Instructions burned: 19 (million)
% 1.55/1.39 % (3716)------------------------------
% 1.55/1.39 % (3716)------------------------------
% 1.55/1.40 % (3718)Instruction limit reached!
% 1.55/1.40 % (3718)------------------------------
% 1.55/1.40 % (3718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.40 % (3718)Termination reason: Unknown
% 1.55/1.40 % (3718)Termination phase: Saturation
% 1.55/1.40
% 1.55/1.40 % (3718)Memory used [KB]: 5500
% 1.55/1.40 % (3718)Time elapsed: 0.005 s
% 1.55/1.40 % (3718)Instructions burned: 6 (million)
% 1.55/1.40 % (3718)------------------------------
% 1.55/1.40 % (3718)------------------------------
% 1.55/1.40 % (3719)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_3600 for (2999ds/902Mi)
% 1.55/1.40 % (3697)Instruction limit reached!
% 1.55/1.40 % (3697)------------------------------
% 1.55/1.40 % (3697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.40 % (3697)Termination reason: Unknown
% 1.55/1.40 % (3697)Termination phase: Saturation
% 1.55/1.40
% 1.55/1.40 % (3697)Memory used [KB]: 5756
% 1.55/1.40 % (3697)Time elapsed: 0.090 s
% 1.55/1.40 % (3697)Instructions burned: 184 (million)
% 1.55/1.40 % (3697)------------------------------
% 1.55/1.40 % (3697)------------------------------
% 1.55/1.40 % (3717)Refutation not found, incomplete strategy
% 1.55/1.40 % (3717)------------------------------
% 1.55/1.40 % (3717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.40 % (3717)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.40
% 1.55/1.40
% 1.55/1.40 % (3717)Memory used [KB]: 5628
% 1.55/1.40 % (3717)Time elapsed: 0.012 s
% 1.55/1.40 % (3717)Instructions burned: 20 (million)
% 1.55/1.40 % (3717)------------------------------
% 1.55/1.40 % (3717)------------------------------
% 1.55/1.41 % (3720)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_3600 for (2999ds/21Mi)
% 1.55/1.41 % (3721)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/5Mi)
% 1.55/1.41 % (3721)Instruction limit reached!
% 1.55/1.41 % (3721)------------------------------
% 1.55/1.41 % (3721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.41 % (3721)Termination reason: Unknown
% 1.55/1.41 % (3721)Termination phase: Saturation
% 1.55/1.41
% 1.55/1.41 % (3721)Memory used [KB]: 5500
% 1.55/1.41 % (3721)Time elapsed: 0.004 s
% 1.55/1.41 % (3721)Instructions burned: 5 (million)
% 1.55/1.41 % (3721)------------------------------
% 1.55/1.41 % (3721)------------------------------
% 1.55/1.42 % (3722)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_3600 for (2999ds/6Mi)
% 1.55/1.42 % (3723)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_3600 for (2999ds/377Mi)
% 1.55/1.42 % (3720)Instruction limit reached!
% 1.55/1.42 % (3720)------------------------------
% 1.55/1.42 % (3720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.42 % (3720)Termination reason: Unknown
% 1.55/1.42 % (3720)Termination phase: Saturation
% 1.55/1.42
% 1.55/1.42 % (3720)Memory used [KB]: 5628
% 1.55/1.42 % (3720)Time elapsed: 0.013 s
% 1.55/1.42 % (3720)Instructions burned: 21 (million)
% 1.55/1.42 % (3720)------------------------------
% 1.55/1.42 % (3720)------------------------------
% 1.55/1.42 % (3722)Instruction limit reached!
% 1.55/1.42 % (3722)------------------------------
% 1.55/1.42 % (3722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.42 % (3722)Termination reason: Unknown
% 1.55/1.42 % (3722)Termination phase: Saturation
% 1.55/1.42
% 1.55/1.42 % (3722)Memory used [KB]: 5500
% 1.55/1.42 % (3722)Time elapsed: 0.005 s
% 1.55/1.42 % (3722)Instructions burned: 6 (million)
% 1.55/1.42 % (3722)------------------------------
% 1.55/1.42 % (3722)------------------------------
% 1.55/1.43 % (3724)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_3600 for (2998ds/779Mi)
% 1.55/1.44 % (3724)Refutation not found, incomplete strategy
% 1.55/1.44 % (3724)------------------------------
% 1.55/1.44 % (3724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.44 % (3724)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.44
% 1.55/1.44
% 1.55/1.44 % (3724)Memory used [KB]: 5500
% 1.55/1.44 % (3724)Time elapsed: 0.008 s
% 1.55/1.44 % (3724)Instructions burned: 12 (million)
% 1.55/1.44 % (3724)------------------------------
% 1.55/1.44 % (3724)------------------------------
% 1.55/1.44 % (3725)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_3600 for (2998ds/19Mi)
% 1.55/1.44 % (3726)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_3600 for (2998ds/879Mi)
% 1.55/1.44 % (3702)Instruction limit reached!
% 1.55/1.44 % (3702)------------------------------
% 1.55/1.44 % (3702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.44 % (3702)Termination reason: Unknown
% 1.55/1.44 % (3702)Termination phase: Saturation
% 1.55/1.44
% 1.55/1.44 % (3702)Memory used [KB]: 5628
% 1.55/1.44 % (3702)Time elapsed: 0.130 s
% 1.55/1.44 % (3702)Instructions burned: 275 (million)
% 1.55/1.44 % (3702)------------------------------
% 1.55/1.44 % (3702)------------------------------
% 1.55/1.45 % (3726)Refutation not found, incomplete strategy
% 1.55/1.45 % (3726)------------------------------
% 1.55/1.45 % (3726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.45 % (3726)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.45
% 1.55/1.45
% 1.55/1.45 % (3726)Memory used [KB]: 5500
% 1.55/1.45 % (3726)Time elapsed: 0.009 s
% 1.55/1.45 % (3726)Instructions burned: 13 (million)
% 1.55/1.45 % (3726)------------------------------
% 1.55/1.45 % (3726)------------------------------
% 1.55/1.45 % (3725)Instruction limit reached!
% 1.55/1.45 % (3725)------------------------------
% 1.55/1.45 % (3725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.45 % (3725)Termination reason: Unknown
% 1.55/1.45 % (3725)Termination phase: Saturation
% 1.55/1.45
% 1.55/1.45 % (3725)Memory used [KB]: 5628
% 1.55/1.45 % (3725)Time elapsed: 0.012 s
% 1.55/1.45 % (3725)Instructions burned: 20 (million)
% 1.55/1.45 % (3725)------------------------------
% 1.55/1.45 % (3725)------------------------------
% 1.55/1.45 % (3727)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_3600 for (2998ds/17Mi)
% 1.55/1.46 % (3728)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_3600 for (2998ds/3Mi)
% 1.55/1.46 % (3728)Instruction limit reached!
% 1.55/1.46 % (3728)------------------------------
% 1.55/1.46 % (3728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.46 % (3728)Termination reason: Unknown
% 1.55/1.46 % (3728)Termination phase: Saturation
% 1.55/1.46
% 1.55/1.46 % (3728)Memory used [KB]: 5500
% 1.55/1.46 % (3728)Time elapsed: 0.004 s
% 1.55/1.46 % (3728)Instructions burned: 4 (million)
% 1.55/1.46 % (3728)------------------------------
% 1.55/1.46 % (3728)------------------------------
% 1.55/1.46 % (3729)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_3600 for (2998ds/30Mi)
% 1.55/1.46 % (3727)Instruction limit reached!
% 1.55/1.46 % (3727)------------------------------
% 1.55/1.46 % (3727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.46 % (3727)Termination reason: Unknown
% 1.55/1.46 % (3727)Termination phase: Saturation
% 1.55/1.46
% 1.55/1.46 % (3727)Memory used [KB]: 5628
% 1.55/1.46 % (3727)Time elapsed: 0.011 s
% 1.55/1.46 % (3727)Instructions burned: 17 (million)
% 1.55/1.46 % (3727)------------------------------
% 1.55/1.46 % (3727)------------------------------
% 1.55/1.46 % (3730)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_3600 for (2998ds/127Mi)
% 1.55/1.47 % (3729)Refutation not found, incomplete strategy
% 1.55/1.47 % (3729)------------------------------
% 1.55/1.47 % (3729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.47 % (3729)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.47
% 1.55/1.47
% 1.55/1.47 % (3729)Memory used [KB]: 5500
% 1.55/1.47 % (3729)Time elapsed: 0.006 s
% 1.55/1.47 % (3729)Instructions burned: 8 (million)
% 1.55/1.47 % (3729)------------------------------
% 1.55/1.47 % (3729)------------------------------
% 1.55/1.48 % (3730)Refutation not found, incomplete strategy
% 1.55/1.48 % (3730)------------------------------
% 1.55/1.48 % (3730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.48 % (3730)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.48
% 1.55/1.48
% 1.55/1.48 % (3730)Memory used [KB]: 5628
% 1.55/1.48 % (3730)Time elapsed: 0.014 s
% 1.55/1.48 % (3730)Instructions burned: 21 (million)
% 1.55/1.48 % (3730)------------------------------
% 1.55/1.48 % (3730)------------------------------
% 1.55/1.48 % (3731)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_3600 for (2998ds/100Mi)
% 1.55/1.48 % (3732)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_3600 for (2998ds/3Mi)
% 1.55/1.48 % (3732)Instruction limit reached!
% 1.55/1.48 % (3732)------------------------------
% 1.55/1.48 % (3732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.48 % (3732)Termination reason: Unknown
% 1.55/1.48 % (3732)Termination phase: Saturation
% 1.55/1.48
% 1.55/1.48 % (3732)Memory used [KB]: 5500
% 1.55/1.48 % (3732)Time elapsed: 0.003 s
% 1.55/1.48 % (3732)Instructions burned: 3 (million)
% 1.55/1.48 % (3732)------------------------------
% 1.55/1.48 % (3732)------------------------------
% 1.55/1.48 % (3733)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_3600 for (2998ds/20Mi)
% 1.55/1.49 % (3733)Refutation not found, incomplete strategy
% 1.55/1.49 % (3733)------------------------------
% 1.55/1.49 % (3733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.49 % (3733)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.49
% 1.55/1.49
% 1.55/1.49 % (3733)Memory used [KB]: 5500
% 1.55/1.49 % (3733)Time elapsed: 0.031 s
% 1.55/1.49 % (3733)Instructions burned: 13 (million)
% 1.55/1.49 % (3733)------------------------------
% 1.55/1.49 % (3733)------------------------------
% 1.55/1.49 % (3734)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_3600 for (2998ds/86Mi)
% 1.55/1.50 % (3735)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_3600 for (2998ds/107Mi)
% 1.55/1.50 % (3735)Refutation not found, incomplete strategy
% 1.55/1.50 % (3735)------------------------------
% 1.55/1.50 % (3735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.50 % (3735)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.50
% 1.55/1.50
% 1.55/1.50 % (3735)Memory used [KB]: 5500
% 1.55/1.50 % (3735)Time elapsed: 0.028 s
% 1.55/1.50 % (3735)Instructions burned: 6 (million)
% 1.55/1.50 % (3735)------------------------------
% 1.55/1.50 % (3735)------------------------------
% 1.55/1.51 % (3736)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_3600 for (2998ds/39Mi)
% 1.55/1.52 % (3737)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_3600 for (2998ds/448Mi)
% 1.55/1.53 % (3731)Instruction limit reached!
% 1.55/1.53 % (3731)------------------------------
% 1.55/1.53 % (3731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.53 % (3731)Termination reason: Unknown
% 1.55/1.53 % (3731)Termination phase: Saturation
% 1.55/1.53
% 1.55/1.53 % (3731)Memory used [KB]: 5628
% 1.55/1.53 % (3731)Time elapsed: 0.050 s
% 1.55/1.53 % (3731)Instructions burned: 101 (million)
% 1.55/1.53 % (3731)------------------------------
% 1.55/1.53 % (3731)------------------------------
% 1.55/1.53 % (3736)Instruction limit reached!
% 1.55/1.53 % (3736)------------------------------
% 1.55/1.53 % (3736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.53 % (3736)Termination reason: Unknown
% 1.55/1.53 % (3736)Termination phase: Saturation
% 1.55/1.53
% 1.55/1.53 % (3736)Memory used [KB]: 5756
% 1.55/1.53 % (3736)Time elapsed: 0.042 s
% 1.55/1.53 % (3736)Instructions burned: 39 (million)
% 1.55/1.53 % (3736)------------------------------
% 1.55/1.53 % (3736)------------------------------
% 1.55/1.54 % (3734)Instruction limit reached!
% 1.55/1.54 % (3734)------------------------------
% 1.55/1.54 % (3734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.54 % (3734)Termination reason: Unknown
% 1.55/1.54 % (3734)Termination phase: Saturation
% 1.55/1.54
% 1.55/1.54 % (3734)Memory used [KB]: 5756
% 1.55/1.54 % (3734)Time elapsed: 0.067 s
% 1.55/1.54 % (3734)Instructions burned: 87 (million)
% 1.55/1.54 % (3734)------------------------------
% 1.55/1.54 % (3734)------------------------------
% 1.55/1.54 % (3738)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_3600 for (2997ds/46Mi)
% 1.55/1.54 % (3739)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_3600 for (2997ds/98Mi)
% 1.55/1.55 % (3740)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_3600 for (2997ds/507Mi)
% 1.55/1.57 % (3738)Instruction limit reached!
% 1.55/1.57 % (3738)------------------------------
% 1.55/1.57 % (3738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.57 % (3738)Termination reason: Unknown
% 1.55/1.57 % (3738)Termination phase: Saturation
% 1.55/1.57
% 1.55/1.57 % (3738)Memory used [KB]: 5756
% 1.55/1.57 % (3738)Time elapsed: 0.052 s
% 1.55/1.57 % (3738)Instructions burned: 47 (million)
% 1.55/1.57 % (3738)------------------------------
% 1.55/1.57 % (3738)------------------------------
% 1.55/1.58 % (3741)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_3600 for (2997ds/149Mi)
% 1.55/1.59 % (3739)Instruction limit reached!
% 1.55/1.59 % (3739)------------------------------
% 1.55/1.59 % (3739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.59 % (3739)Termination reason: Unknown
% 1.55/1.59 % (3739)Termination phase: Saturation
% 1.55/1.59
% 1.55/1.59 % (3739)Memory used [KB]: 1279
% 1.55/1.59 % (3739)Time elapsed: 0.075 s
% 1.55/1.59 % (3739)Instructions burned: 98 (million)
% 1.55/1.59 % (3739)------------------------------
% 1.55/1.59 % (3739)------------------------------
% 1.55/1.59 % (3723)Instruction limit reached!
% 1.55/1.59 % (3723)------------------------------
% 1.55/1.59 % (3723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.59 % (3723)Termination reason: Unknown
% 1.55/1.59 % (3723)Termination phase: Saturation
% 1.55/1.59
% 1.55/1.59 % (3723)Memory used [KB]: 5756
% 1.55/1.59 % (3723)Time elapsed: 0.174 s
% 1.55/1.59 % (3723)Instructions burned: 378 (million)
% 1.55/1.59 % (3723)------------------------------
% 1.55/1.59 % (3723)------------------------------
% 1.55/1.61 % (3743)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_3600 for (2997ds/6Mi)
% 1.55/1.61 % (3742)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_3600 for (2997ds/39Mi)
% 1.55/1.61 % (3743)Instruction limit reached!
% 1.55/1.61 % (3743)------------------------------
% 1.55/1.61 % (3743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.61 % (3743)Termination reason: Unknown
% 1.55/1.61 % (3743)Termination phase: Saturation
% 1.55/1.61
% 1.55/1.61 % (3743)Memory used [KB]: 9978
% 1.55/1.61 % (3743)Time elapsed: 0.006 s
% 1.55/1.61 % (3743)Instructions burned: 7 (million)
% 1.55/1.61 % (3743)------------------------------
% 1.55/1.61 % (3743)------------------------------
% 1.55/1.63 % (3742)Instruction limit reached!
% 1.55/1.63 % (3742)------------------------------
% 1.55/1.63 % (3742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.63 % (3742)Termination reason: Unknown
% 1.55/1.63 % (3742)Termination phase: Saturation
% 1.55/1.63
% 1.55/1.63 % (3742)Memory used [KB]: 5628
% 1.55/1.63 % (3742)Time elapsed: 0.022 s
% 1.55/1.63 % (3742)Instructions burned: 41 (million)
% 1.55/1.63 % (3742)------------------------------
% 1.55/1.63 % (3742)------------------------------
% 1.55/1.63 % (3744)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_3600 for (2996ds/1087Mi)
% 1.55/1.64 % (3745)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_3600 for (2996ds/47Mi)
% 1.55/1.65 % (3741)Instruction limit reached!
% 1.55/1.65 % (3741)------------------------------
% 1.55/1.65 % (3741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.65 % (3741)Termination reason: Unknown
% 1.55/1.65 % (3741)Termination phase: Saturation
% 1.55/1.65
% 1.55/1.65 % (3741)Memory used [KB]: 5884
% 1.55/1.65 % (3741)Time elapsed: 0.072 s
% 1.55/1.65 % (3741)Instructions burned: 150 (million)
% 1.55/1.65 % (3741)------------------------------
% 1.55/1.65 % (3741)------------------------------
% 1.55/1.66 % (3745)Refutation not found, incomplete strategy
% 1.55/1.66 % (3745)------------------------------
% 1.55/1.66 % (3745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.66 % (3745)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.66
% 1.55/1.66
% 1.55/1.66 % (3745)Memory used [KB]: 5628
% 1.55/1.66 % (3745)Time elapsed: 0.015 s
% 1.55/1.66 % (3745)Instructions burned: 25 (million)
% 1.55/1.66 % (3745)------------------------------
% 1.55/1.66 % (3745)------------------------------
% 1.55/1.67 % (3746)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_3600 for (2996ds/44Mi)
% 1.55/1.67 % (3747)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_3600 for (2996ds/432Mi)
% 1.55/1.67 % (3746)Refutation not found, incomplete strategy
% 1.55/1.67 % (3746)------------------------------
% 1.55/1.67 % (3746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.67 % (3746)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.67
% 1.55/1.67
% 1.55/1.67 % (3746)Memory used [KB]: 1023
% 1.55/1.67 % (3746)Time elapsed: 0.006 s
% 1.55/1.67 % (3746)Instructions burned: 8 (million)
% 1.55/1.67 % (3746)------------------------------
% 1.55/1.67 % (3746)------------------------------
% 1.55/1.69 % (3748)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_3600 for (2996ds/62Mi)
% 1.55/1.72 % (3748)Instruction limit reached!
% 1.55/1.72 % (3748)------------------------------
% 1.55/1.72 % (3748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.72 % (3748)Termination reason: Unknown
% 1.55/1.72 % (3748)Termination phase: Saturation
% 1.55/1.72
% 1.55/1.72 % (3748)Memory used [KB]: 5756
% 1.55/1.72 % (3748)Time elapsed: 0.032 s
% 1.55/1.72 % (3748)Instructions burned: 62 (million)
% 1.55/1.72 % (3748)------------------------------
% 1.55/1.72 % (3748)------------------------------
% 1.55/1.73 % (3737)Instruction limit reached!
% 1.55/1.73 % (3737)------------------------------
% 1.55/1.73 % (3737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.73 % (3737)Termination reason: Unknown
% 1.55/1.73 % (3737)Termination phase: Saturation
% 1.55/1.73
% 1.55/1.73 % (3737)Memory used [KB]: 6012
% 1.55/1.73 % (3737)Time elapsed: 0.242 s
% 1.55/1.73 % (3737)Instructions burned: 449 (million)
% 1.55/1.73 % (3737)------------------------------
% 1.55/1.73 % (3737)------------------------------
% 1.55/1.74 % (3749)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_3600 for (2995ds/31Mi)
% 1.55/1.75 % (3749)Refutation not found, incomplete strategy
% 1.55/1.75 % (3749)------------------------------
% 1.55/1.75 % (3749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.75 % (3749)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.75
% 1.55/1.75
% 1.55/1.75 % (3749)Memory used [KB]: 5628
% 1.55/1.75 % (3749)Time elapsed: 0.013 s
% 1.55/1.75 % (3749)Instructions burned: 20 (million)
% 1.55/1.75 % (3749)------------------------------
% 1.55/1.75 % (3749)------------------------------
% 1.55/1.75 % (3750)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_3600 for (2995ds/96Mi)
% 1.55/1.76 % (3750)Refutation not found, incomplete strategy
% 1.55/1.76 % (3750)------------------------------
% 1.55/1.76 % (3750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.76 % (3750)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.76
% 1.55/1.76
% 1.55/1.76 % (3750)Memory used [KB]: 5628
% 1.55/1.76 % (3750)Time elapsed: 0.013 s
% 1.55/1.76 % (3750)Instructions burned: 21 (million)
% 1.55/1.76 % (3750)------------------------------
% 1.55/1.76 % (3750)------------------------------
% 1.55/1.77 % (3751)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_3600 for (2995ds/453Mi)
% 1.55/1.78 % (3752)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_3600 for (2995ds/71Mi)
% 1.55/1.78 % (3740)Instruction limit reached!
% 1.55/1.78 % (3740)------------------------------
% 1.55/1.78 % (3740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.78 % (3740)Termination reason: Unknown
% 1.55/1.78 % (3740)Termination phase: Saturation
% 1.55/1.78
% 1.55/1.78 % (3740)Memory used [KB]: 5884
% 1.55/1.78 % (3740)Time elapsed: 0.257 s
% 1.55/1.78 % (3740)Instructions burned: 509 (million)
% 1.55/1.78 % (3740)------------------------------
% 1.55/1.78 % (3740)------------------------------
% 1.55/1.80 % (3753)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_3600 for (2995ds/83Mi)
% 1.55/1.81 % (3719)Instruction limit reached!
% 1.55/1.81 % (3719)------------------------------
% 1.55/1.81 % (3719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.81 % (3719)Termination reason: Unknown
% 1.55/1.81 % (3719)Termination phase: Saturation
% 1.55/1.81
% 1.55/1.81 % (3719)Memory used [KB]: 6524
% 1.55/1.81 % (3719)Time elapsed: 0.419 s
% 1.55/1.81 % (3719)Instructions burned: 903 (million)
% 1.55/1.81 % (3719)------------------------------
% 1.55/1.81 % (3719)------------------------------
% 1.55/1.82 % (3752)Instruction limit reached!
% 1.55/1.82 % (3752)------------------------------
% 1.55/1.82 % (3752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.82 % (3752)Termination reason: Unknown
% 1.55/1.82 % (3752)Termination phase: Saturation
% 1.55/1.82
% 1.55/1.82 % (3752)Memory used [KB]: 5756
% 1.55/1.82 % (3752)Time elapsed: 0.038 s
% 1.55/1.82 % (3752)Instructions burned: 72 (million)
% 1.55/1.82 % (3752)------------------------------
% 1.55/1.82 % (3752)------------------------------
% 1.55/1.82 % (3708)Instruction limit reached!
% 1.55/1.82 % (3708)------------------------------
% 1.55/1.82 % (3708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.82 % (3708)Termination reason: Unknown
% 1.55/1.82 % (3708)Termination phase: Saturation
% 1.55/1.82
% 1.55/1.82 % (3708)Memory used [KB]: 6268
% 1.55/1.82 % (3708)Time elapsed: 0.480 s
% 1.55/1.82 % (3708)Instructions burned: 1041 (million)
% 1.55/1.82 % (3708)------------------------------
% 1.55/1.82 % (3708)------------------------------
% 1.55/1.83 % (3754)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_3600 for (2994ds/11Mi)
% 1.55/1.83 % (3755)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_3600 for (2994ds/41Mi)
% 1.55/1.83 % (3755)Refutation not found, incomplete strategy
% 1.55/1.83 % (3755)------------------------------
% 1.55/1.83 % (3755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.83 % (3755)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.83
% 1.55/1.83
% 1.55/1.83 % (3755)Memory used [KB]: 5500
% 1.55/1.83 % (3755)Time elapsed: 0.003 s
% 1.55/1.83 % (3755)Instructions burned: 3 (million)
% 1.55/1.83 % (3755)------------------------------
% 1.55/1.83 % (3755)------------------------------
% 1.55/1.83 % (3756)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3600 for (2994ds/6Mi)
% 1.55/1.84 % (3754)Instruction limit reached!
% 1.55/1.84 % (3754)------------------------------
% 1.55/1.84 % (3754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.84 % (3754)Termination reason: Unknown
% 1.55/1.84 % (3754)Termination phase: Saturation
% 1.55/1.84
% 1.55/1.84 % (3754)Memory used [KB]: 5500
% 1.55/1.84 % (3754)Time elapsed: 0.008 s
% 1.55/1.84 % (3754)Instructions burned: 12 (million)
% 1.55/1.84 % (3754)------------------------------
% 1.55/1.84 % (3754)------------------------------
% 1.55/1.84 % (3747)First to succeed.
% 1.55/1.84 % (3756)Instruction limit reached!
% 1.55/1.84 % (3756)------------------------------
% 1.55/1.84 % (3756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.84 % (3756)Termination reason: Unknown
% 1.55/1.84 % (3756)Termination phase: Saturation
% 1.55/1.84
% 1.55/1.84 % (3756)Memory used [KB]: 5500
% 1.55/1.84 % (3756)Time elapsed: 0.005 s
% 1.55/1.84 % (3756)Instructions burned: 6 (million)
% 1.55/1.84 % (3756)------------------------------
% 1.55/1.84 % (3756)------------------------------
% 1.55/1.84 % (3753)Instruction limit reached!
% 1.55/1.84 % (3753)------------------------------
% 1.55/1.84 % (3753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.84 % (3747)Refutation found. Thanks to Tanya!
% 1.55/1.84 % SZS status Theorem for DTF2THF_3600
% 1.55/1.84 % SZS output start Proof for DTF2THF_3600
% 1.55/1.84 thf(func_def_0, type, s: $i > $i).
% 1.55/1.84 thf(func_def_2, type, c_star: $i > $i > $i).
% 1.55/1.84 thf(func_def_15, type, ph0: !>[X0: $tType]:(X0)).
% 1.55/1.84 thf(func_def_16, type, sK1: ($i > $o) > $i).
% 1.55/1.84 thf(func_def_18, type, sK2: ($i > $i > $o) > ($i > $i > $o) > $i).
% 1.55/1.84 thf(f319,plain,(
% 1.55/1.84 $false),
% 1.55/1.84 inference(trivial_inequality_removal,[status(thm)],[f318])).
% 1.55/1.84 thf(f318,plain,(
% 1.55/1.84 ((^[Y0 : $i]: (sK1 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_star @ c2 @ Y2) = (s @ Y1))))))) != (^[Y0 : $i]: (sK1 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_star @ c2 @ Y2) = (s @ Y1))))))))),
% 1.55/1.84 inference(beta_eta_normalization,[status(thm)],[f317])).
% 1.55/1.84 thf(f317,plain,(
% 1.55/1.84 ((^[Y0 : $i]: (sK1 @ (^[Y1 : $i]: (?? @ $i @ ((^[Y2 : $i]: ((^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (c_star @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c2)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3) = ((^[Y4 : $i]: ((^[Y5 : $i]: (s @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))))) != ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) @ (sK1 @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))))),
% 1.55/1.84 inference(equality_resolution,[status(thm)],[f111])).
% 1.55/1.84 thf(f111,plain,(
% 1.55/1.84 ( ! [X0 : $i,X1 : $i > $i > $i] : (((X1 @ (s @ (sK1 @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ (X1 @ Y0 @ Y1))))))))) != (^[Y0 : $i]: (s @ X0))) | ((X1 @ (sK1 @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ (X1 @ Y0 @ Y1)))))))) != (^[Y0 : $i]: (X0)))) )),
% 1.55/1.84 inference(beta_eta_normalization,[status(thm)],[f109])).
% 1.55/1.84 thf(f109,plain,(
% 1.55/1.84 ( ! [X0 : $i,X1 : $i > $i > $i] : (((X1 @ (s @ (sK1 @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ (X1 @ Y0 @ Y1))))))))) != (^[Y0 : $i]: (s @ X0))) | ((^[Y0 : $i]: (X1 @ (sK1 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_star @ c2 @ Y2) = (s @ (X1 @ Y1 @ Y2))))))) @ Y0)) != (^[Y0 : $i]: (X0)))) )),
% 1.55/1.84 inference(equality_resolution,[status(thm)],[f77])).
% 1.55/1.84 thf(f77,plain,(
% 1.55/1.84 ( ! [X0 : $i,X1 : $i > $i > $i] : (((?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = X0))) != (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (s @ (X1 @ (sK1 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_star @ c2 @ Y2) = (s @ (X1 @ Y1 @ Y2))))))) @ Y0)))))) | ((X1 @ (s @ (sK1 @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ (X1 @ Y0 @ Y1))))))))) != (^[Y0 : $i]: (X0)))) )),
% 1.55/1.84 inference(beta_eta_normalization,[status(thm)],[f73])).
% 1.55/1.84 thf(f73,plain,(
% 1.55/1.84 ( ! [X0 : $i,X1 : $i > $i > $i] : (((?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = X0))) != ((^[Y0 : $i]: (?? @ $i @ ((^[Y1 : $i]: ((^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: (c_star @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c2)))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2) = ((^[Y3 : $i]: ((^[Y4 : $i]: (s @ (X1 @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ (sK1 @ (^[Y0 : $i]: (?? @ $i @ ((^[Y1 : $i]: ((^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: (c_star @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c2)))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2) = ((^[Y3 : $i]: ((^[Y4 : $i]: (s @ (X1 @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0)))))) | ((^[Y0 : $i]: (X1 @ (s @ (sK1 @ (^[Y1 : $i]: (?? @ $i @ ((^[Y2 : $i]: ((^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (c_star @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c2)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3) = ((^[Y4 : $i]: ((^[Y5 : $i]: (s @ (X1 @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))))) @ Y0)) != (^[Y0 : $i]: (X0)))) )),
% 1.55/1.84 inference(constrained_superposition,[status(thm)],[f21,f66])).
% 1.55/1.84 thf(f66,plain,(
% 1.55/1.84 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = X1))) = (~ (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (s @ X1))))))) )),
% 1.55/1.84 inference(binary_proxy_clausification,[status(thm)],[f65])).
% 1.55/1.84 thf(f65,plain,(
% 1.55/1.84 ( ! [X1 : $i] : (($true = ((~ (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = (s @ X1))))) = (?? @ $i @ (^[Y0 : $i]: ((c_star @ c2 @ Y0) = X1)))))) )),
% 1.55/1.84 inference(beta_eta_normalization,[status(thm)],[f60])).
% 1.55/1.84 thf(f60,plain,(
% 1.55/1.84 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0))))) @ X1))) )),
% 1.55/1.84 inference(pi_clausification,[status(thm)],[f9])).
% 1.55/1.84 thf(f9,plain,(
% 1.55/1.84 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))))),
% 1.55/1.84 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 1.55/1.84 thf(f7,plain,(
% 1.55/1.84 (((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1))))))))) = $false)),
% 1.55/1.84 inference(not_proxy_clausification,[status(thm)],[f6])).
% 1.55/1.84 thf(f6,plain,(
% 1.55/1.84 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1)))))))))))),
% 1.55/1.84 inference(cnf_transformation,[status(thm)],[f5])).
% 1.55/1.84 thf(f5,plain,(
% 1.55/1.84 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = (s @ Y0))))) = (?? @ $i @ (^[Y1 : $i]: ((c_star @ c2 @ Y1) = Y0)))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1)))))))))))),
% 1.55/1.84 inference(fool_elimination,[status(thm)],[f4])).
% 1.55/1.84 thf(f4,plain,(
% 1.55/1.84 ~(! [X0 : $i] : (~? [X1 : $i] : ((c_star @ c2 @ X1) = (s @ X0)) <=> ? [X2 : $i] : ((c_star @ c2 @ X2) = X0)) => ? [X3 : $i > $o] : ! [X4 : $i] : ((X3 @ X4) <=> ~(X3 @ (s @ X4))))),
% 1.55/1.84 inference(rectify,[status(thm)],[f2])).
% 1.55/1.84 thf(f2,negated_conjecture,(
% 1.55/1.84 ~(! [X0 : $i] : (~? [X2 : $i] : ((s @ X0) = (c_star @ c2 @ X2)) <=> ? [X1 : $i] : ((c_star @ c2 @ X1) = X0)) => ? [X3 : $i > $o] : ! [X0 : $i] : ((X3 @ X0) <=> ~(X3 @ (s @ X0))))),
% 1.55/1.84 inference(negated_conjecture,[status(cth)],[f1])).
% 1.55/1.84 thf(f1,conjecture,(
% 1.55/1.84 ! [X0 : $i] : (~? [X2 : $i] : ((s @ X0) = (c_star @ c2 @ X2)) <=> ? [X1 : $i] : ((c_star @ c2 @ X1) = X0)) => ? [X3 : $i > $o] : ! [X0 : $i] : ((X3 @ X0) <=> ~(X3 @ (s @ X0)))),
% 1.55/1.84 file('/export/starexec/sandbox2/tmp/tmp.yRPLYuf0b9/DTF2THF_3600.p',cBLEDSOE_FENG_SV_EO1_W_LEM)).
% 1.55/1.84 thf(f21,plain,(
% 1.55/1.84 ( ! [X1 : $i > $o] : (((X1 @ (sK1 @ X1)) != (~ (X1 @ (s @ (sK1 @ X1)))))) )),
% 1.55/1.84 inference(binary_proxy_clausification,[status(thm)],[f20])).
% 1.55/1.84 thf(f20,plain,(
% 1.55/1.84 ( ! [X1 : $i > $o] : (($false = ((X1 @ (sK1 @ X1)) = (~ (X1 @ (s @ (sK1 @ X1))))))) )),
% 1.55/1.84 inference(beta_eta_normalization,[status(thm)],[f19])).
% 1.55/1.84 thf(f19,plain,(
% 1.55/1.84 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((X1 @ Y0) = (~ (X1 @ (s @ Y0))))) @ (sK1 @ X1)))) )),
% 1.55/1.84 inference(sigma_clausification,[status(thm)],[f18])).
% 1.55/1.84 thf(f18,plain,(
% 1.55/1.84 ( ! [X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) = (~ (X1 @ (s @ Y0)))))))) )),
% 1.55/1.84 inference(beta_eta_normalization,[status(thm)],[f12])).
% 1.55/1.84 thf(f12,plain,(
% 1.55/1.84 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1))))))) @ X1))) )),
% 1.55/1.84 inference(pi_clausification,[status(thm)],[f8])).
% 1.55/1.84 thf(f8,plain,(
% 1.55/1.84 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) = (~ (Y0 @ (s @ Y1)))))))))),
% 1.55/1.84 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 1.55/1.84 % SZS output end Proof for DTF2THF_3600
% 1.55/1.84 % (3747)------------------------------
% 1.55/1.84 % (3747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.84 % (3747)Termination reason: Refutation
% 1.55/1.84
% 1.55/1.84 % (3747)Memory used [KB]: 2302
% 1.55/1.84 % (3747)Time elapsed: 0.166 s
% 1.55/1.84 % (3747)Instructions burned: 359 (million)
% 1.55/1.84 % (3747)------------------------------
% 1.55/1.84 % (3747)------------------------------
% 1.55/1.84 % (3696)Success in time 0.532 s
%------------------------------------------------------------------------------