%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO882^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 09:54:59 AM UTC 2026
% Result : Unsatisfiable 1.31s 1.16s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 68 ( 15 ~; 8 |; 0 &; 45 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 1 ^; 7 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
h: $i > $i ).
thf(func_def_1,type,
g: $o > $i ).
thf(func_def_7,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_10,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f95,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f58,f6]) ).
thf(f6,plain,
b != a,
inference(cnf_transformation,[status(thm)],[f2]) ).
thf(f2,axiom,
b != a,
file('/export/starexec/sandbox2/tmp/tmp.I9aZ1I4UCp/DTF2THF_3766.p',a2) ).
thf(f58,plain,
b = a,
inference(leibniz_equality_elimination,[status(thm)],[f48]) ).
thf(f48,plain,
! [X0: $i > $o] :
( ( ( X0 @ b )
!= $false )
| ( $false
= ( X0 @ a ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f46]) ).
thf(f46,plain,
! [X0: $i > $o] :
( ( ( h @ ( g @ $true ) )
!= ( h @ ( g @ $true ) ) )
| ( ( X0 @ b )
!= $false )
| ( $false
= ( X0 @ a ) ) ),
inference(cases_simplifying,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: $i > $o] :
( ( ( X0 @ b )
!= $false )
| ( ( h @ ( g @ ( X0 @ a ) ) )
!= ( h @ ( g @ $true ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f44]) ).
thf(f44,plain,
! [X0: $i > $o] :
( ( ( X0 @ b )
!= $false )
| ( ( h
@ ( ^ [Y0: $i] : ( g @ ( X0 @ Y0 ) )
@ a ) )
!= ( h @ ( g @ $true ) ) ) ),
inference(equality_resolution,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: $i > $i] :
( ( ( h @ ( X0 @ b ) )
!= ( h @ ( g @ $false ) ) )
| ( ( h @ ( X0 @ a ) )
!= ( h @ ( g @ $true ) ) ) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
! [X0: $i > $i] :
( ( ( h @ ( X0 @ b ) )
!= ( h @ ( g @ $false ) ) )
| ( ( h @ ( X0 @ a ) )
!= ( h @ ( g @ $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i > $i] :
( ( ( h @ ( X0 @ b ) )
!= ( h @ ( g @ $false ) ) )
| ( ( h @ ( g @ $true ) )
!= ( h @ ( X0 @ a ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.I9aZ1I4UCp/DTF2THF_3766.p',a1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO882^1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.32 % Computer : n005.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Feb 24 14:49:59 EST 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.43 ---- Original DTF file ---
% 0.17/0.43 thf(spec,logic,$$dhol).
% 0.17/0.43 %------------------------------------------------------------------------------
% 0.17/0.43 % File : SYO882^1 : TPTP v9.2.1. Released v7.5.0.
% 0.17/0.43 % Domain : Syntactic
% 0.17/0.43 % Problem : Synthesize a simple lambda-expression containing an equality
% 0.17/0.43 % Version : Biased.
% 0.17/0.43 % English :
% 0.17/0.43
% 0.17/0.43 % Refs : [Ben21] Bentkamp (2021) Email to Geoff Sutcliffe
% 0.17/0.43 % Source : [Ben21]
% 0.17/0.43 % Names : fluidbool.p [Ben21]
% 0.17/0.43
% 0.17/0.43 % Status : Unsatisfiable
% 0.17/0.43 % Rating : 0.33 v9.1.0, 0.67 v9.0.0, 0.85 v8.1.0, 0.91 v7.5.0
% 0.17/0.43 % Syntax : Number of formulae : 6 ( 1 unt; 4 typ; 0 def)
% 0.17/0.43 % Number of atoms : 5 ( 3 equ; 0 cnn)
% 0.17/0.43 % Maximal formula atoms : 2 ( 2 avg)
% 0.17/0.43 % Number of connectives : 12 ( 3 ~; 1 |; 0 &; 8 @)
% 0.17/0.43 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.17/0.43 % Maximal formula depth : 4 ( 3 avg)
% 0.17/0.43 % Number of types : 2 ( 0 usr)
% 0.17/0.43 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.17/0.43 % Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% 0.17/0.43 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.17/0.43 % SPC : TH0_UNS_EQU_NAR
% 0.17/0.43
% 0.17/0.43 % Comments : The substitution Y -> ^[X : $i]: g (X = a) solves the problem.
% 0.17/0.43 % : Biased because it was desiged for testing features in
% 0.17/0.43 % Zipperposition.
% 0.17/0.43 %------------------------------------------------------------------------------
% 0.17/0.43 thf(h,type,
% 0.17/0.43 h: $i > $i ).
% 0.17/0.43
% 0.17/0.43 thf(g,type,
% 0.17/0.43 g: $o > $i ).
% 0.17/0.43
% 0.17/0.43 thf(a,type,
% 0.17/0.43 a: $i ).
% 0.17/0.43
% 0.17/0.43 thf(b,type,
% 0.17/0.43 b: $i ).
% 0.17/0.43
% 0.17/0.43 thf(a1,axiom,
% 0.17/0.43 ! [Y: $i > $i] :
% 0.17/0.43 ( ( ( h @ ( Y @ b ) )
% 0.17/0.43 != ( h @ ( g @ $false ) ) )
% 0.17/0.43 | ( ( h @ ( Y @ a ) )
% 0.17/0.43 != ( h @ ( g @ $true ) ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(a2,axiom,
% 0.17/0.43 a != b ).
% 0.17/0.43
% 0.17/0.43 %------------------------------------------------------------------------------
% 0.17/0.43 ------------------------
% 1.16/1.09 ---- Embedded in THF ---
% 1.16/1.09 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.16/1.09 %%% Generated on Tue Feb 24 14:50:00 EST 2026
% 1.16/1.09 %%% using '$$dhol' embedding, version 1.3.0.
% 1.16/1.09 %%% Logic specification used:
% 1.16/1.09 %%% thf(spec, logic, $$dhol).
% 1.16/1.09
% 1.16/1.09 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.I9aZ1I4UCp/DTF2DTF3766.p
% See solution above
% 1.16/1.09 ------------------------
% 1.16/1.10 ---- Cleaned THF ---
% 1.16/1.10 thf(h,type,
% 1.16/1.10 h: $i > $i ).
% 1.16/1.10
% 1.16/1.10 thf(g,type,
% 1.16/1.10 g: $o > $i ).
% 1.16/1.10
% 1.16/1.10 thf(a,type,
% 1.16/1.10 a: $i ).
% 1.16/1.10
% 1.16/1.10 thf(b,type,
% 1.16/1.10 b: $i ).
% 1.16/1.10
% 1.16/1.10 thf(a1,axiom,
% 1.16/1.10 ! [Y: $i > $i] :
% 1.16/1.10 ( ( ( h @ ( Y @ b ) )
% 1.16/1.10 != ( h @ ( g @ $false ) ) )
% 1.16/1.10 | ( ( h @ ( Y @ a ) )
% 1.16/1.10 != ( h @ ( g @ $true ) ) ) ) ).
% 1.16/1.10
% 1.16/1.10 thf(a2,axiom,
% 1.16/1.10 a != b ).
% 1.16/1.10 ------------------------
% 1.16/1.11 % (3864)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3766 for (3000ds/183Mi)
% 1.16/1.12 % (3864)Refutation not found, incomplete strategy
% 1.16/1.12 % (3864)------------------------------
% 1.16/1.12 % (3864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.12 % (3864)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.12
% 1.16/1.12
% 1.16/1.12 % (3864)Memory used [KB]: 5500
% 1.16/1.12 % (3864)Time elapsed: 0.002 s
% 1.16/1.12 % (3864)Instructions burned: 1 (million)
% 1.16/1.12 % (3864)------------------------------
% 1.16/1.12 % (3864)------------------------------
% 1.16/1.12 % (3867)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3766 for (3000ds/2Mi)
% 1.16/1.12 % (3866)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_3766 for (3000ds/27Mi)
% 1.16/1.12 % (3868)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_3766 for (3000ds/2Mi)
% 1.16/1.12 % (3870)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3766 for (3000ds/18Mi)
% 1.16/1.12 % (3869)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_3766 for (3000ds/275Mi)
% 1.16/1.12 % (3869)Refutation not found, incomplete strategy
% 1.16/1.12 % (3869)------------------------------
% 1.16/1.12 % (3869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.12 % (3869)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.12
% 1.16/1.12 % (3867)Refutation not found, incomplete strategy
% 1.16/1.12 % (3867)------------------------------
% 1.16/1.12 % (3867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.12 % (3867)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.12
% 1.16/1.12
% 1.16/1.12 % (3867)Memory used [KB]: 5500
% 1.16/1.12 % (3867)Time elapsed: 0.002 s
% 1.16/1.12 % (3867)Instructions burned: 1 (million)
% 1.16/1.12 % (3867)------------------------------
% 1.16/1.12 % (3867)------------------------------
% 1.16/1.12
% 1.16/1.12 % (3869)Memory used [KB]: 5373
% 1.16/1.12 % (3869)Time elapsed: 0.002 s
% 1.16/1.12 % (3868)Refutation not found, incomplete strategy
% 1.16/1.12 % (3868)------------------------------
% 1.16/1.12 % (3868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.12 % (3868)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.12
% 1.16/1.12
% 1.16/1.12 % (3868)Memory used [KB]: 5373
% 1.16/1.12 % (3868)Time elapsed: 0.002 s
% 1.16/1.12 % (3868)Instructions burned: 1 (million)
% 1.16/1.12 % (3868)------------------------------
% 1.16/1.12 % (3868)------------------------------
% 1.16/1.12 % (3869)------------------------------
% 1.16/1.12 % (3869)------------------------------
% 1.16/1.12 % (3866)Refutation not found, incomplete strategy
% 1.16/1.12 % (3866)------------------------------
% 1.16/1.12 % (3866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.12 % (3866)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.12
% 1.16/1.12
% 1.16/1.12 % (3866)Memory used [KB]: 5500
% 1.16/1.12 % (3866)Time elapsed: 0.002 s
% 1.16/1.12 % (3866)Instructions burned: 1 (million)
% 1.16/1.12 % (3866)------------------------------
% 1.16/1.12 % (3866)------------------------------
% 1.16/1.12 % (3870)Refutation not found, incomplete strategy
% 1.16/1.12 % (3870)------------------------------
% 1.16/1.12 % (3870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.12 % (3870)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.12
% 1.16/1.12
% 1.16/1.12 % (3870)Memory used [KB]: 5500
% 1.16/1.12 % (3870)Time elapsed: 0.002 s
% 1.16/1.12 % (3870)Instructions burned: 1 (million)
% 1.16/1.12 % (3870)------------------------------
% 1.16/1.12 % (3870)------------------------------
% 1.16/1.12 % (3865)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_3766 for (3000ds/4Mi)
% 1.16/1.12 % (3871)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/3Mi)
% 1.16/1.13 % (3865)Refutation not found, incomplete strategy
% 1.16/1.13 % (3865)------------------------------
% 1.16/1.13 % (3865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.13 % (3865)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.13
% 1.16/1.13
% 1.16/1.13 % (3865)Memory used [KB]: 5500
% 1.16/1.13 % (3865)Time elapsed: 0.002 s
% 1.16/1.13 % (3865)Instructions burned: 1 (million)
% 1.16/1.13 % (3865)------------------------------
% 1.16/1.13 % (3865)------------------------------
% 1.16/1.13 % (3871)Refutation not found, incomplete strategy
% 1.16/1.13 % (3871)------------------------------
% 1.16/1.13 % (3871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.16/1.13 % (3871)Termination reason: Refutation not found, incomplete strategy
% 1.16/1.13
% 1.16/1.13
% 1.16/1.13 % (3871)Memory used [KB]: 5500
% 1.16/1.13 % (3871)Time elapsed: 0.001 s
% 1.16/1.13 % (3871)Instructions burned: 1 (million)
% 1.16/1.13 % (3871)------------------------------
% 1.16/1.13 % (3871)------------------------------
% 1.31/1.14 % (3878)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_3766 for (2999ds/3Mi)
% 1.31/1.14 % (3878)Refutation not found, incomplete strategy
% 1.31/1.14 % (3878)------------------------------
% 1.31/1.14 % (3878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3878)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3878)Memory used [KB]: 5373
% 1.31/1.14 % (3878)Time elapsed: 0.001 s
% 1.31/1.14 % (3878)Instructions burned: 1 (million)
% 1.31/1.14 % (3878)------------------------------
% 1.31/1.14 % (3878)------------------------------
% 1.31/1.14 % (3874)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_3766 for (2999ds/3Mi)
% 1.31/1.14 % (3873)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_3766 for (2999ds/15Mi)
% 1.31/1.14 % (3875)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_3766 for (2999ds/1041Mi)
% 1.31/1.14 % (3872)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_3766 for (2999ds/37Mi)
% 1.31/1.14 % (3876)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/7Mi)
% 1.31/1.14 % (3874)Refutation not found, incomplete strategy
% 1.31/1.14 % (3874)------------------------------
% 1.31/1.14 % (3874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3874)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3874)Memory used [KB]: 5500
% 1.31/1.14 % (3874)Time elapsed: 0.002 s
% 1.31/1.14 % (3874)Instructions burned: 1 (million)
% 1.31/1.14 % (3874)------------------------------
% 1.31/1.14 % (3874)------------------------------
% 1.31/1.14 % (3873)Refutation not found, incomplete strategy
% 1.31/1.14 % (3873)------------------------------
% 1.31/1.14 % (3873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3873)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3873)Memory used [KB]: 5373
% 1.31/1.14 % (3873)Time elapsed: 0.002 s
% 1.31/1.14 % (3873)Instructions burned: 1 (million)
% 1.31/1.14 % (3873)------------------------------
% 1.31/1.14 % (3873)------------------------------
% 1.31/1.14 % (3876)Refutation not found, incomplete strategy
% 1.31/1.14 % (3876)------------------------------
% 1.31/1.14 % (3876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3876)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3876)Memory used [KB]: 1023
% 1.31/1.14 % (3876)Time elapsed: 0.002 s
% 1.31/1.14 % (3876)Instructions burned: 2 (million)
% 1.31/1.14 % (3876)------------------------------
% 1.31/1.14 % (3876)------------------------------
% 1.31/1.14 % (3877)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/16Mi)
% 1.31/1.14 % (3875)Refutation not found, incomplete strategy
% 1.31/1.14 % (3875)------------------------------
% 1.31/1.14 % (3875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3875)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3875)Memory used [KB]: 5500
% 1.31/1.14 % (3875)Time elapsed: 0.005 s
% 1.31/1.14 % (3875)Instructions burned: 7 (million)
% 1.31/1.14 % (3875)------------------------------
% 1.31/1.14 % (3875)------------------------------
% 1.31/1.14 % (3872)Refutation not found, incomplete strategy
% 1.31/1.14 % (3872)------------------------------
% 1.31/1.14 % (3872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3872)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3872)Memory used [KB]: 5500
% 1.31/1.14 % (3872)Time elapsed: 0.005 s
% 1.31/1.14 % (3872)Instructions burned: 6 (million)
% 1.31/1.14 % (3872)------------------------------
% 1.31/1.14 % (3872)------------------------------
% 1.31/1.14 % (3877)Refutation not found, incomplete strategy
% 1.31/1.14 % (3877)------------------------------
% 1.31/1.14 % (3877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (3877)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.14
% 1.31/1.14
% 1.31/1.14 % (3877)Memory used [KB]: 5500
% 1.31/1.14 % (3877)Time elapsed: 0.002 s
% 1.31/1.14 % (3877)Instructions burned: 1 (million)
% 1.31/1.14 % (3877)------------------------------
% 1.31/1.14 % (3877)------------------------------
% 1.31/1.15 % (3881)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/7Mi)
% 1.31/1.15 % (3881)Refutation not found, incomplete strategy
% 1.31/1.15 % (3881)------------------------------
% 1.31/1.15 % (3881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.15 % (3881)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.15
% 1.31/1.15
% 1.31/1.15 % (3881)Memory used [KB]: 5500
% 1.31/1.15 % (3881)Time elapsed: 0.001 s
% 1.31/1.15 % (3881)Instructions burned: 1 (million)
% 1.31/1.15 % (3881)------------------------------
% 1.31/1.15 % (3881)------------------------------
% 1.31/1.15 % (3879)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_3766 for (2999ds/3Mi)
% 1.31/1.15 % (3879)Refutation not found, incomplete strategy
% 1.31/1.15 % (3879)------------------------------
% 1.31/1.15 % (3879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.15 % (3879)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.15
% 1.31/1.15
% 1.31/1.15 % (3879)Memory used [KB]: 5500
% 1.31/1.15 % (3879)Time elapsed: 0.003 s
% 1.31/1.15 % (3879)Instructions burned: 2 (million)
% 1.31/1.15 % (3879)------------------------------
% 1.31/1.15 % (3879)------------------------------
% 1.31/1.15 % (3882)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/3Mi)
% 1.31/1.15 % (3883)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/4Mi)
% 1.31/1.16 % (3882)Instruction limit reached!
% 1.31/1.16 % (3882)------------------------------
% 1.31/1.16 % (3882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.16 % (3882)Termination reason: Unknown
% 1.31/1.16 % (3882)Termination phase: Saturation
% 1.31/1.16
% 1.31/1.16 % (3882)Memory used [KB]: 5500
% 1.31/1.16 % (3882)Time elapsed: 0.003 s
% 1.31/1.16 % (3882)Instructions burned: 3 (million)
% 1.31/1.16 % (3882)------------------------------
% 1.31/1.16 % (3882)------------------------------
% 1.31/1.16 % (3884)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/18Mi)
% 1.31/1.16 % (3883)First to succeed.
% 1.31/1.16 % (3885)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/710Mi)
% 1.31/1.16 % (3884)Refutation not found, incomplete strategy
% 1.31/1.16 % (3884)------------------------------
% 1.31/1.16 % (3884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.16 % (3884)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.16
% 1.31/1.16
% 1.31/1.16 % (3884)Memory used [KB]: 5500
% 1.31/1.16 % (3884)Time elapsed: 0.001 s
% 1.31/1.16 % (3884)Instructions burned: 1 (million)
% 1.31/1.16 % (3884)------------------------------
% 1.31/1.16 % (3884)------------------------------
% 1.31/1.16 % (3885)Refutation not found, incomplete strategy
% 1.31/1.16 % (3885)------------------------------
% 1.31/1.16 % (3885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.16 % (3885)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.16
% 1.31/1.16
% 1.31/1.16 % (3885)Memory used [KB]: 5373
% 1.31/1.16 % (3885)Time elapsed: 0.001 s
% 1.31/1.16 % (3885)------------------------------
% 1.31/1.16 % (3885)------------------------------
% 1.31/1.16 % (3886)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3766 for (2999ds/6Mi)
% 1.31/1.16 % (3883)Refutation found. Thanks to Tanya!
% 1.31/1.16 % SZS status Unsatisfiable for DTF2THF_3766
% 1.31/1.16 % SZS output start Proof for DTF2THF_3766
% 1.31/1.16 thf(func_def_0, type, h: $i > $i).
% 1.31/1.16 thf(func_def_1, type, g: $o > $i).
% 1.31/1.16 thf(func_def_7, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.31/1.16 thf(func_def_10, type, ph1: !>[X0: $tType]:(X0)).
% 1.31/1.16 thf(f95,plain,(
% 1.31/1.16 $false),
% 1.31/1.16 inference(subsumption_resolution,[status(thm)],[f58,f6])).
% 1.31/1.16 thf(f6,plain,(
% 1.31/1.16 (b != a)),
% 1.31/1.16 inference(cnf_transformation,[status(thm)],[f2])).
% 1.31/1.16 thf(f2,axiom,(
% 1.31/1.16 (b != a)),
% 1.31/1.16 file('/export/starexec/sandbox2/tmp/tmp.I9aZ1I4UCp/DTF2THF_3766.p',a2)).
% 1.31/1.16 thf(f58,plain,(
% 1.31/1.16 (b = a)),
% 1.31/1.16 inference(leibniz_equality_elimination,[status(thm)],[f48])).
% 1.31/1.16 thf(f48,plain,(
% 1.31/1.16 ( ! [X0 : $i > $o] : (((X0 @ b) != $false) | ($false = (X0 @ a))) )),
% 1.31/1.16 inference(trivial_inequality_removal,[status(thm)],[f46])).
% 1.31/1.16 thf(f46,plain,(
% 1.31/1.16 ( ! [X0 : $i > $o] : (((h @ (g @ $true)) != (h @ (g @ $true))) | ((X0 @ b) != $false) | ($false = (X0 @ a))) )),
% 1.31/1.16 inference(cases_simplifying,[status(thm)],[f45])).
% 1.31/1.16 thf(f45,plain,(
% 1.31/1.16 ( ! [X0 : $i > $o] : (((X0 @ b) != $false) | ((h @ (g @ (X0 @ a))) != (h @ (g @ $true)))) )),
% 1.31/1.16 inference(beta_eta_normalization,[status(thm)],[f44])).
% 1.31/1.16 thf(f44,plain,(
% 1.31/1.16 ( ! [X0 : $i > $o] : (((X0 @ b) != $false) | ((h @ ((^[Y0 : $i]: (g @ (X0 @ Y0))) @ a)) != (h @ (g @ $true)))) )),
% 1.31/1.16 inference(equality_resolution,[status(thm)],[f7])).
% 1.31/1.16 thf(f7,plain,(
% 1.31/1.16 ( ! [X0 : $i > $i] : (((h @ (X0 @ b)) != (h @ (g @ $false))) | ((h @ (X0 @ a)) != (h @ (g @ $true)))) )),
% 1.31/1.16 inference(cnf_transformation,[status(thm)],[f4])).
% 1.31/1.16 thf(f4,plain,(
% 1.31/1.16 ! [X0 : $i > $i] : (((h @ (X0 @ b)) != (h @ (g @ $false))) | ((h @ (X0 @ a)) != (h @ (g @ $true))))),
% 1.31/1.16 inference(fool_elimination,[status(thm)],[f1])).
% 1.31/1.16 thf(f1,axiom,(
% 1.31/1.16 ! [X0 : $i > $i] : (((h @ (X0 @ b)) != (h @ (g @ $false))) | ((h @ (g @ $true)) != (h @ (X0 @ a))))),
% 1.31/1.16 file('/export/starexec/sandbox2/tmp/tmp.I9aZ1I4UCp/DTF2THF_3766.p',a1)).
% 1.31/1.16 % SZS output end Proof for DTF2THF_3766
% 1.31/1.16 % (3883)------------------------------
% 1.31/1.16 % (3883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.16 % (3883)Termination reason: Refutation
% 1.31/1.16
% 1.31/1.16 % (3883)Memory used [KB]: 5500
% 1.31/1.16 % (3883)Time elapsed: 0.004 s
% 1.31/1.16 % (3883)Instructions burned: 3 (million)
% 1.31/1.16 % (3883)------------------------------
% 1.31/1.16 % (3883)------------------------------
% 1.31/1.16 % (3863)Success in time 0.041 s
%------------------------------------------------------------------------------