%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ALG283^5 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:37:50 AM UTC 2026
% Result : Theorem 1.54s 1.42s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 42 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 190 ( 10 ~; 0 |; 18 &; 158 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 ^; 64 !; 11 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: a > a > a ).
thf(func_def_2,type,
cE: a ).
thf(func_def_3,type,
cJ: a > a ).
thf(func_def_7,type,
sK0: a ).
thf(func_def_8,type,
sK1: a ).
thf(f110,plain,
$false,
inference(equality_resolution,[status(thm)],[f101]) ).
thf(f101,plain,
! [X0: a] : ( sK0 != X0 ),
inference(superposition,[status(thm)],[f12,f74]) ).
thf(f74,plain,
! [X0: a,X1: a] :
( ( cP @ X0 @ ( cP @ ( cJ @ X0 ) @ X1 ) )
= X1 ),
inference(superposition,[status(thm)],[f19,f61]) ).
thf(f61,plain,
! [X0: a] :
( ( cJ @ ( cJ @ X0 ) )
= X0 ),
inference(superposition,[status(thm)],[f21,f55]) ).
thf(f55,plain,
! [X0: a] :
( ( cP @ ( cJ @ ( cJ @ ( cJ @ ( cJ @ X0 ) ) ) ) @ cE )
= X0 ),
inference(superposition,[status(thm)],[f19,f30]) ).
thf(f30,plain,
! [X0: a] :
( cE
= ( cP @ ( cJ @ ( cJ @ ( cJ @ X0 ) ) ) @ X0 ) ),
inference(superposition,[status(thm)],[f19,f21]) ).
thf(f21,plain,
! [X0: a] :
( ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE )
= X0 ),
inference(superposition,[status(thm)],[f19,f10]) ).
thf(f10,plain,
! [X7: a] :
( cE
= ( cP @ ( cJ @ X7 ) @ X7 ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
( ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X3: a] :
( sK0
!= ( cP @ sK1 @ X3 ) )
& ! [X4: a,X5: a,X6: a] :
( ( cP @ ( cP @ X5 @ X6 ) @ X4 )
= ( cP @ X5 @ ( cP @ X6 @ X4 ) ) )
& ! [X7: a] :
( cE
= ( cP @ ( cJ @ X7 ) @ X7 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X1: a,X2: a] :
! [X3: a] :
( ( cP @ X2 @ X3 )
!= X1 )
=> ! [X3: a] :
( sK0
!= ( cP @ sK1 @ X3 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
( ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ? [X1: a,X2: a] :
! [X3: a] :
( ( cP @ X2 @ X3 )
!= X1 )
& ! [X4: a,X5: a,X6: a] :
( ( cP @ ( cP @ X5 @ X6 ) @ X4 )
= ( cP @ X5 @ ( cP @ X6 @ X4 ) ) )
& ! [X7: a] :
( cE
= ( cP @ ( cJ @ X7 ) @ X7 ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
( ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ? [X6: a,X5: a] :
! [X7: a] :
( ( cP @ X5 @ X7 )
!= X6 )
& ! [X1: a,X2: a,X0: a] :
( ( cP @ X2 @ ( cP @ X0 @ X1 ) )
= ( cP @ ( cP @ X2 @ X0 ) @ X1 ) )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
( ? [X6: a,X5: a] :
! [X7: a] :
( ( cP @ X5 @ X7 )
!= X6 )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X1: a,X2: a,X0: a] :
( ( cP @ X2 @ ( cP @ X0 @ X1 ) )
= ( cP @ ( cP @ X2 @ X0 ) @ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X1: a,X2: a,X0: a] :
( ( cP @ X2 @ ( cP @ X0 @ X1 ) )
= ( cP @ ( cP @ X2 @ X0 ) @ X1 ) ) )
=> ! [X5: a,X6: a] :
? [X7: a] :
( ( cP @ X5 @ X7 )
= X6 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X1: a,X2: a,X0: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) ) )
=> ! [X3: a,X4: a] :
? [X5: a] :
( ( cP @ X3 @ X5 )
= X4 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ! [X1: a,X2: a,X0: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) ) )
=> ! [X3: a,X4: a] :
? [X5: a] :
( ( cP @ X3 @ X5 )
= X4 ) ),
file('/export/starexec/sandbox/tmp/tmp.adJdOsWdEH/DTF2THF_19483.p',cTHM20_pme) ).
thf(f19,plain,
! [X0: a,X1: a] :
( ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) )
= X1 ),
inference(forward_demodulation,[status(thm)],[f15,f13]) ).
thf(f13,plain,
! [X0: a] :
( ( cP @ cE @ X0 )
= X0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f15,plain,
! [X0: a,X1: a] :
( ( cP @ cE @ X1 )
= ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) ) ),
inference(superposition,[status(thm)],[f11,f10]) ).
thf(f11,plain,
! [X6: a,X4: a,X5: a] :
( ( cP @ ( cP @ X5 @ X6 ) @ X4 )
= ( cP @ X5 @ ( cP @ X6 @ X4 ) ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f12,plain,
! [X3: a] :
( sK0
!= ( cP @ sK1 @ X3 ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : ALG283^5 : TPTP v9.2.1. Released v4.0.0.
% 0.10/0.16 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.37 % Computer : n016.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Feb 24 03:43:21 EST 2026
% 0.16/0.37 % CPUTime :
% 0.16/0.37 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.22/0.51 ---- Original DTF file ---
% 0.22/0.51 thf(spec,logic,$$dhol).
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 % File : ALG283^5 : TPTP v9.2.1. Released v4.0.0.
% 0.22/0.51 % Domain : General Algebra
% 0.22/0.51 % Problem : TPS problem from GRP-THMS
% 0.22/0.51 % Version : Especial.
% 0.22/0.51 % English :
% 0.22/0.51
% 0.22/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.51 % Source : [Bro09]
% 0.22/0.51 % Names : tps_0921 [Bro09]
% 0.22/0.51
% 0.22/0.51 % Status : Theorem
% 0.22/0.51 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.23 v8.1.0, 0.27 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.60 v5.1.0, 0.80 v5.0.0, 0.60 v4.1.0, 0.33 v4.0.0
% 0.22/0.51 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.22/0.51 % Number of atoms : 4 ( 4 equ; 0 cnn)
% 0.22/0.51 % Maximal formula atoms : 4 ( 4 avg)
% 0.22/0.51 % Number of connectives : 18 ( 0 ~; 0 |; 2 &; 15 @)
% 0.22/0.51 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.51 % Maximal formula depth : 6 ( 6 avg)
% 0.22/0.51 % Number of types : 1 ( 1 usr)
% 0.22/0.51 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.22/0.51 % Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% 0.22/0.51 % Number of variables : 8 ( 0 ^; 7 !; 1 ?; 8 :)
% 0.22/0.51 % SPC : TH0_THM_EQU_NAR
% 0.22/0.51
% 0.22/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 thf(a_type,type,
% 0.22/0.51 a: $tType ).
% 0.22/0.51
% 0.22/0.51 thf(cP,type,
% 0.22/0.51 cP: a > a > a ).
% 0.22/0.51
% 0.22/0.51 thf(cE,type,
% 0.22/0.51 cE: a ).
% 0.22/0.51
% 0.22/0.51 thf(cJ,type,
% 0.22/0.51 cJ: a > a ).
% 0.22/0.51
% 0.22/0.51 thf(cTHM20_pme,conjecture,
% 0.22/0.51 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.51 ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
% 0.22/0.51 = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
% 0.22/0.51 & ! [Xx: a] :
% 0.22/0.51 ( ( cP @ cE @ Xx )
% 0.22/0.51 = Xx )
% 0.22/0.51 & ! [Xy: a] :
% 0.22/0.51 ( ( cP @ ( cJ @ Xy ) @ Xy )
% 0.22/0.51 = cE ) )
% 0.22/0.51 => ! [X: a,Y: a] :
% 0.22/0.51 ? [Z: a] :
% 0.22/0.51 ( ( cP @ X @ Z )
% 0.22/0.51 = Y ) ) ).
% 0.22/0.51
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 ------------------------
% 1.34/1.29 ---- Embedded in THF ---
% 1.34/1.29 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.34/1.29 %%% Generated on Tue Feb 24 03:43:22 EST 2026
% 1.34/1.29 %%% using '$$dhol' embedding, version 1.3.0.
% 1.34/1.29 %%% Logic specification used:
% 1.34/1.29 %%% thf(spec, logic, $$dhol).
% 1.34/1.29
% 1.34/1.29 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.adJdOsWdEH/DTF2DTF19483.p
% See solution above
% 1.34/1.29 ------------------------
% 1.52/1.30 ---- Cleaned THF ---
% 1.52/1.30 thf(a_type,type,
% 1.52/1.30 a: $tType ).
% 1.52/1.30
% 1.52/1.30 thf(cP,type,
% 1.52/1.30 cP: a > a > a ).
% 1.52/1.30
% 1.52/1.30 thf(cE,type,
% 1.52/1.30 cE: a ).
% 1.52/1.30
% 1.52/1.30 thf(cJ,type,
% 1.52/1.30 cJ: a > a ).
% 1.52/1.30
% 1.52/1.30 thf(cTHM20_pme,conjecture,
% 1.52/1.30 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 1.52/1.30 ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
% 1.52/1.30 = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
% 1.52/1.30 & ! [Xx: a] :
% 1.52/1.30 ( ( cP @ cE @ Xx )
% 1.52/1.30 = Xx )
% 1.52/1.30 & ! [Xy: a] :
% 1.52/1.30 ( ( cP @ ( cJ @ Xy ) @ Xy )
% 1.52/1.30 = cE ) )
% 1.52/1.30 => ! [X: a,Y: a] :
% 1.52/1.30 ? [Z: a] :
% 1.52/1.30 ( ( cP @ X @ Z )
% 1.52/1.30 = Y ) ) ).
% 1.52/1.30 ------------------------
% 1.52/1.32 % (19580)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/183Mi)
% 1.52/1.32 % (19584)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_19483 for (2999ds/2Mi)
% 1.52/1.32 % (19584)Instruction limit reached!
% 1.52/1.32 % (19584)------------------------------
% 1.52/1.32 % (19584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.32 % (19584)Termination reason: Unknown
% 1.52/1.32 % (19584)Termination phase: Saturation
% 1.52/1.32
% 1.52/1.32 % (19584)Memory used [KB]: 5500
% 1.52/1.32 % (19584)Time elapsed: 0.002 s
% 1.52/1.32 % (19584)Instructions burned: 3 (million)
% 1.52/1.32 % (19584)------------------------------
% 1.52/1.32 % (19584)------------------------------
% 1.52/1.33 % (19581)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_19483 for (2999ds/4Mi)
% 1.52/1.33 % (19582)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_19483 for (2999ds/27Mi)
% 1.52/1.33 % (19583)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/2Mi)
% 1.52/1.33 % (19586)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/18Mi)
% 1.52/1.33 % (19585)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_19483 for (2999ds/275Mi)
% 1.52/1.33 % (19583)Instruction limit reached!
% 1.52/1.33 % (19583)------------------------------
% 1.52/1.33 % (19583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.33 % (19583)Termination reason: Unknown
% 1.52/1.33 % (19583)Termination phase: Saturation
% 1.52/1.33
% 1.52/1.33 % (19583)Memory used [KB]: 5500
% 1.52/1.33 % (19583)Time elapsed: 0.004 s
% 1.52/1.33 % (19583)Instructions burned: 3 (million)
% 1.52/1.33 % (19583)------------------------------
% 1.52/1.33 % (19583)------------------------------
% 1.52/1.33 % (19581)Instruction limit reached!
% 1.52/1.33 % (19581)------------------------------
% 1.52/1.33 % (19581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.33 % (19581)Termination reason: Unknown
% 1.52/1.33 % (19581)Termination phase: Saturation
% 1.52/1.33
% 1.52/1.33 % (19581)Memory used [KB]: 5500
% 1.52/1.33 % (19581)Time elapsed: 0.005 s
% 1.52/1.33 % (19581)Instructions burned: 4 (million)
% 1.52/1.33 % (19581)------------------------------
% 1.52/1.33 % (19581)------------------------------
% 1.52/1.33 % (19587)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/3Mi)
% 1.52/1.33 % (19587)Instruction limit reached!
% 1.52/1.33 % (19587)------------------------------
% 1.52/1.33 % (19587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.33 % (19587)Termination reason: Unknown
% 1.52/1.33 % (19587)Termination phase: Saturation
% 1.52/1.33
% 1.52/1.33 % (19587)Memory used [KB]: 5500
% 1.52/1.33 % (19587)Time elapsed: 0.003 s
% 1.52/1.33 % (19587)Instructions burned: 3 (million)
% 1.52/1.33 % (19587)------------------------------
% 1.52/1.33 % (19587)------------------------------
% 1.52/1.34 % (19586)Instruction limit reached!
% 1.52/1.34 % (19586)------------------------------
% 1.52/1.34 % (19586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.34 % (19586)Termination reason: Unknown
% 1.52/1.34 % (19586)Termination phase: Saturation
% 1.52/1.34
% 1.52/1.34 % (19586)Memory used [KB]: 5500
% 1.52/1.34 % (19586)Time elapsed: 0.014 s
% 1.52/1.34 % (19586)Instructions burned: 19 (million)
% 1.52/1.34 % (19586)------------------------------
% 1.52/1.34 % (19586)------------------------------
% 1.52/1.34 % (19590)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_19483 for (2999ds/3Mi)
% 1.52/1.34 % (19582)Instruction limit reached!
% 1.52/1.34 % (19582)------------------------------
% 1.52/1.34 % (19582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.34 % (19582)Termination reason: Unknown
% 1.52/1.34 % (19582)Termination phase: Saturation
% 1.52/1.34 % (19590)Instruction limit reached!
% 1.52/1.34 % (19590)------------------------------
% 1.52/1.34 % (19590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.34 % (19590)Termination reason: Unknown
% 1.52/1.34 % (19590)Termination phase: Saturation
% 1.52/1.34
% 1.52/1.34 % (19590)Memory used [KB]: 5500
% 1.52/1.34 % (19590)Time elapsed: 0.003 s
% 1.52/1.34 % (19590)Instructions burned: 3 (million)
% 1.52/1.34 % (19590)------------------------------
% 1.52/1.34 % (19590)------------------------------
% 1.52/1.34
% 1.52/1.34 % (19582)Memory used [KB]: 5628
% 1.52/1.34 % (19582)Time elapsed: 0.019 s
% 1.52/1.34 % (19582)Instructions burned: 27 (million)
% 1.52/1.34 % (19582)------------------------------
% 1.52/1.34 % (19582)------------------------------
% 1.52/1.35 % (19588)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_19483 for (2999ds/37Mi)
% 1.52/1.35 % (19589)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_19483 for (2999ds/15Mi)
% 1.52/1.35 % (19592)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/7Mi)
% 1.52/1.36 % (19589)Instruction limit reached!
% 1.52/1.36 % (19589)------------------------------
% 1.52/1.36 % (19589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.36 % (19589)Termination reason: Unknown
% 1.52/1.36 % (19589)Termination phase: Saturation
% 1.52/1.36
% 1.52/1.36 % (19589)Memory used [KB]: 5500
% 1.52/1.36 % (19589)Time elapsed: 0.011 s
% 1.52/1.36 % (19589)Instructions burned: 15 (million)
% 1.52/1.36 % (19589)------------------------------
% 1.52/1.36 % (19589)------------------------------
% 1.52/1.36 % (19591)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_19483 for (2999ds/1041Mi)
% 1.52/1.36 % (19592)Instruction limit reached!
% 1.52/1.36 % (19592)------------------------------
% 1.52/1.36 % (19592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.36 % (19592)Termination reason: Unknown
% 1.52/1.36 % (19592)Termination phase: Saturation
% 1.52/1.36
% 1.52/1.36 % (19592)Memory used [KB]: 1023
% 1.52/1.36 % (19592)Time elapsed: 0.005 s
% 1.52/1.36 % (19592)Instructions burned: 9 (million)
% 1.52/1.36 % (19592)------------------------------
% 1.52/1.36 % (19592)------------------------------
% 1.52/1.36 % (19593)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/16Mi)
% 1.52/1.37 % (19595)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_19483 for (2999ds/3Mi)
% 1.52/1.37 % (19595)Instruction limit reached!
% 1.52/1.37 % (19595)------------------------------
% 1.52/1.37 % (19595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.37 % (19595)Termination reason: Unknown
% 1.52/1.37 % (19588)Instruction limit reached!
% 1.52/1.37 % (19588)------------------------------
% 1.52/1.37 % (19588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.37 % (19595)Termination phase: Saturation
% 1.52/1.37
% 1.52/1.37 % (19595)Memory used [KB]: 5500
% 1.52/1.37 % (19595)Time elapsed: 0.003 s
% 1.52/1.37 % (19595)Instructions burned: 3 (million)
% 1.52/1.37 % (19595)------------------------------
% 1.52/1.37 % (19595)------------------------------
% 1.52/1.37 % (19588)Termination reason: Unknown
% 1.52/1.37 % (19588)Termination phase: Saturation
% 1.52/1.37
% 1.52/1.37 % (19588)Memory used [KB]: 5756
% 1.52/1.37 % (19588)Time elapsed: 0.024 s
% 1.52/1.37 % (19588)Instructions burned: 37 (million)
% 1.52/1.37 % (19588)------------------------------
% 1.52/1.37 % (19588)------------------------------
% 1.52/1.37 % (19593)Instruction limit reached!
% 1.52/1.37 % (19593)------------------------------
% 1.52/1.37 % (19593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.37 % (19593)Termination reason: Unknown
% 1.52/1.37 % (19593)Termination phase: Saturation
% 1.52/1.37
% 1.52/1.37 % (19593)Memory used [KB]: 5628
% 1.52/1.37 % (19593)Time elapsed: 0.013 s
% 1.52/1.37 % (19593)Instructions burned: 17 (million)
% 1.52/1.37 % (19593)------------------------------
% 1.52/1.37 % (19593)------------------------------
% 1.52/1.37 % (19580)Instruction limit reached!
% 1.52/1.37 % (19580)------------------------------
% 1.52/1.37 % (19580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.37 % (19580)Termination reason: Unknown
% 1.52/1.37 % (19580)Termination phase: Saturation
% 1.52/1.37
% 1.52/1.37 % (19580)Memory used [KB]: 6524
% 1.52/1.37 % (19580)Time elapsed: 0.056 s
% 1.52/1.37 % (19580)Instructions burned: 186 (million)
% 1.52/1.37 % (19580)------------------------------
% 1.52/1.37 % (19580)------------------------------
% 1.52/1.37 % (19594)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_19483 for (2999ds/3Mi)
% 1.52/1.38 % (19594)Instruction limit reached!
% 1.52/1.38 % (19594)------------------------------
% 1.52/1.38 % (19594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.38 % (19594)Termination reason: Unknown
% 1.52/1.38 % (19594)Termination phase: Saturation
% 1.52/1.38
% 1.52/1.38 % (19594)Memory used [KB]: 5500
% 1.52/1.38 % (19594)Time elapsed: 0.004 s
% 1.52/1.38 % (19594)Instructions burned: 3 (million)
% 1.52/1.38 % (19594)------------------------------
% 1.52/1.38 % (19594)------------------------------
% 1.52/1.38 % (19596)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/7Mi)
% 1.52/1.38 % (19596)Refutation not found, incomplete strategy
% 1.52/1.38 % (19596)------------------------------
% 1.52/1.38 % (19596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.38 % (19596)Termination reason: Refutation not found, incomplete strategy
% 1.52/1.38
% 1.52/1.38
% 1.52/1.38 % (19596)Memory used [KB]: 5500
% 1.52/1.38 % (19596)Time elapsed: 0.002 s
% 1.52/1.38 % (19596)Instructions burned: 1 (million)
% 1.52/1.38 % (19596)------------------------------
% 1.52/1.38 % (19596)------------------------------
% 1.52/1.38 % (19599)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/18Mi)
% 1.52/1.39 % (19597)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/3Mi)
% 1.52/1.39 % (19597)Instruction limit reached!
% 1.52/1.39 % (19597)------------------------------
% 1.52/1.39 % (19597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (19597)Termination reason: Unknown
% 1.52/1.39 % (19597)Termination phase: Saturation
% 1.52/1.39
% 1.52/1.39 % (19597)Memory used [KB]: 5500
% 1.52/1.39 % (19597)Time elapsed: 0.003 s
% 1.52/1.39 % (19597)Instructions burned: 3 (million)
% 1.52/1.39 % (19597)------------------------------
% 1.52/1.39 % (19597)------------------------------
% 1.52/1.39 % (19599)Instruction limit reached!
% 1.52/1.39 % (19599)------------------------------
% 1.52/1.39 % (19599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (19599)Termination reason: Unknown
% 1.52/1.39 % (19599)Termination phase: Saturation
% 1.52/1.39
% 1.52/1.39 % (19599)Memory used [KB]: 5628
% 1.52/1.39 % (19599)Time elapsed: 0.007 s
% 1.52/1.39 % (19599)Instructions burned: 20 (million)
% 1.52/1.39 % (19599)------------------------------
% 1.52/1.39 % (19599)------------------------------
% 1.52/1.39 % (19601)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/6Mi)
% 1.52/1.39 % (19598)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/4Mi)
% 1.52/1.39 % (19601)Instruction limit reached!
% 1.52/1.39 % (19601)------------------------------
% 1.52/1.39 % (19601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (19601)Termination reason: Unknown
% 1.52/1.39 % (19601)Termination phase: Saturation
% 1.52/1.39
% 1.52/1.39 % (19601)Memory used [KB]: 5500
% 1.52/1.39 % (19601)Time elapsed: 0.004 s
% 1.52/1.39 % (19601)Instructions burned: 6 (million)
% 1.52/1.39 % (19601)------------------------------
% 1.52/1.39 % (19601)------------------------------
% 1.52/1.39 % (19598)Instruction limit reached!
% 1.52/1.39 % (19598)------------------------------
% 1.52/1.39 % (19598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (19598)Termination reason: Unknown
% 1.52/1.39 % (19598)Termination phase: Saturation
% 1.52/1.39
% 1.52/1.39 % (19598)Memory used [KB]: 5500
% 1.52/1.39 % (19598)Time elapsed: 0.005 s
% 1.52/1.39 % (19598)Instructions burned: 4 (million)
% 1.52/1.39 % (19598)------------------------------
% 1.52/1.39 % (19598)------------------------------
% 1.52/1.39 % (19600)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/710Mi)
% 1.54/1.40 % (19603)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_19483 for (2999ds/21Mi)
% 1.54/1.40 % (19602)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_19483 for (2999ds/902Mi)
% 1.54/1.40 % (19604)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/5Mi)
% 1.54/1.40 % (19604)Instruction limit reached!
% 1.54/1.40 % (19604)------------------------------
% 1.54/1.40 % (19604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.40 % (19604)Termination reason: Unknown
% 1.54/1.40 % (19604)Termination phase: Saturation
% 1.54/1.40
% 1.54/1.40 % (19604)Memory used [KB]: 5500
% 1.54/1.40 % (19604)Time elapsed: 0.004 s
% 1.54/1.40 % (19604)Instructions burned: 6 (million)
% 1.54/1.40 % (19604)------------------------------
% 1.54/1.40 % (19604)------------------------------
% 1.54/1.41 % (19603)Instruction limit reached!
% 1.54/1.41 % (19603)------------------------------
% 1.54/1.41 % (19603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.41 % (19603)Termination reason: Unknown
% 1.54/1.41 % (19603)Termination phase: Saturation
% 1.54/1.41
% 1.54/1.41 % (19603)Memory used [KB]: 5628
% 1.54/1.41 % (19603)Time elapsed: 0.009 s
% 1.54/1.41 % (19603)Instructions burned: 24 (million)
% 1.54/1.41 % (19603)------------------------------
% 1.54/1.41 % (19603)------------------------------
% 1.54/1.41 % (19605)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_19483 for (2999ds/6Mi)
% 1.54/1.41 % (19605)Instruction limit reached!
% 1.54/1.41 % (19605)------------------------------
% 1.54/1.41 % (19605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.41 % (19605)Termination reason: Unknown
% 1.54/1.41 % (19605)Termination phase: Saturation
% 1.54/1.41
% 1.54/1.41 % (19605)Memory used [KB]: 5500
% 1.54/1.41 % (19605)Time elapsed: 0.005 s
% 1.54/1.41 % (19605)Instructions burned: 6 (million)
% 1.54/1.41 % (19605)------------------------------
% 1.54/1.41 % (19605)------------------------------
% 1.54/1.41 % (19606)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_19483 for (2999ds/377Mi)
% 1.54/1.42 % (19607)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_19483 for (2999ds/779Mi)
% 1.54/1.42 % (19606)First to succeed.
% 1.54/1.42 % (19606)Refutation found. Thanks to Tanya!
% 1.54/1.42 % SZS status Theorem for DTF2THF_19483
% 1.54/1.42 % SZS output start Proof for DTF2THF_19483
% 1.54/1.42 thf(type_def_5, type, a: $tType).
% 1.54/1.42 thf(func_def_0, type, a: $tType).
% 1.54/1.42 thf(func_def_1, type, cP: a > a > a).
% 1.54/1.42 thf(func_def_2, type, cE: a).
% 1.54/1.42 thf(func_def_3, type, cJ: a > a).
% 1.54/1.42 thf(func_def_7, type, sK0: a).
% 1.54/1.42 thf(func_def_8, type, sK1: a).
% 1.54/1.42 thf(f110,plain,(
% 1.54/1.42 $false),
% 1.54/1.42 inference(equality_resolution,[status(thm)],[f101])).
% 1.54/1.42 thf(f101,plain,(
% 1.54/1.42 ( ! [X0 : a] : ((sK0 != X0)) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f12,f74])).
% 1.54/1.42 thf(f74,plain,(
% 1.54/1.42 ( ! [X0 : a,X1 : a] : (((cP @ X0 @ (cP @ (cJ @ X0) @ X1)) = X1)) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f19,f61])).
% 1.54/1.42 thf(f61,plain,(
% 1.54/1.42 ( ! [X0 : a] : (((cJ @ (cJ @ X0)) = X0)) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f21,f55])).
% 1.54/1.42 thf(f55,plain,(
% 1.54/1.42 ( ! [X0 : a] : (((cP @ (cJ @ (cJ @ (cJ @ (cJ @ X0)))) @ cE) = X0)) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f19,f30])).
% 1.54/1.42 thf(f30,plain,(
% 1.54/1.42 ( ! [X0 : a] : ((cE = (cP @ (cJ @ (cJ @ (cJ @ X0))) @ X0))) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f19,f21])).
% 1.54/1.42 thf(f21,plain,(
% 1.54/1.42 ( ! [X0 : a] : (((cP @ (cJ @ (cJ @ X0)) @ cE) = X0)) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f19,f10])).
% 1.54/1.42 thf(f10,plain,(
% 1.54/1.42 ( ! [X7 : a] : ((cE = (cP @ (cJ @ X7) @ X7))) )),
% 1.54/1.42 inference(cnf_transformation,[status(thm)],[f9])).
% 1.54/1.42 thf(f9,plain,(
% 1.54/1.42 ! [X0 : a] : ((cP @ cE @ X0) = X0) & ! [X3 : a] : (sK0 != (cP @ sK1 @ X3)) & ! [X4 : a,X5 : a,X6 : a] : ((cP @ (cP @ X5 @ X6) @ X4) = (cP @ X5 @ (cP @ X6 @ X4))) & ! [X7 : a] : (cE = (cP @ (cJ @ X7) @ X7))),
% 1.54/1.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8])).
% 1.54/1.42 thf(f8,plain,(
% 1.54/1.42 ? [X1 : a,X2 : a] : ! [X3 : a] : ((cP @ X2 @ X3) != X1) => ! [X3 : a] : (sK0 != (cP @ sK1 @ X3))),
% 1.54/1.42 introduced(definition,[],[choice_axiom])).
% 1.54/1.42 thf(f7,plain,(
% 1.54/1.42 ! [X0 : a] : ((cP @ cE @ X0) = X0) & ? [X1 : a,X2 : a] : ! [X3 : a] : ((cP @ X2 @ X3) != X1) & ! [X4 : a,X5 : a,X6 : a] : ((cP @ (cP @ X5 @ X6) @ X4) = (cP @ X5 @ (cP @ X6 @ X4))) & ! [X7 : a] : (cE = (cP @ (cJ @ X7) @ X7))),
% 1.54/1.42 inference(rectify,[status(thm)],[f6])).
% 1.54/1.42 thf(f6,plain,(
% 1.54/1.42 ! [X3 : a] : ((cP @ cE @ X3) = X3) & ? [X6 : a,X5 : a] : ! [X7 : a] : ((cP @ X5 @ X7) != X6) & ! [X1 : a,X2 : a,X0 : a] : ((cP @ X2 @ (cP @ X0 @ X1)) = (cP @ (cP @ X2 @ X0) @ X1)) & ! [X4 : a] : (cE = (cP @ (cJ @ X4) @ X4))),
% 1.54/1.42 inference(flattening,[status(thm)],[f5])).
% 1.54/1.42 thf(f5,plain,(
% 1.54/1.42 ? [X6 : a,X5 : a] : ! [X7 : a] : ((cP @ X5 @ X7) != X6) & (! [X4 : a] : (cE = (cP @ (cJ @ X4) @ X4)) & ! [X3 : a] : ((cP @ cE @ X3) = X3) & ! [X1 : a,X2 : a,X0 : a] : ((cP @ X2 @ (cP @ X0 @ X1)) = (cP @ (cP @ X2 @ X0) @ X1)))),
% 1.54/1.42 inference(ennf_transformation,[status(thm)],[f4])).
% 1.54/1.42 thf(f4,plain,(
% 1.54/1.42 ~((! [X4 : a] : (cE = (cP @ (cJ @ X4) @ X4)) & ! [X3 : a] : ((cP @ cE @ X3) = X3) & ! [X1 : a,X2 : a,X0 : a] : ((cP @ X2 @ (cP @ X0 @ X1)) = (cP @ (cP @ X2 @ X0) @ X1))) => ! [X5 : a,X6 : a] : ? [X7 : a] : ((cP @ X5 @ X7) = X6))),
% 1.54/1.42 inference(rectify,[status(thm)],[f2])).
% 1.54/1.42 thf(f2,negated_conjecture,(
% 1.54/1.42 ~((! [X1 : a,X2 : a,X0 : a] : ((cP @ (cP @ X0 @ X1) @ X2) = (cP @ X0 @ (cP @ X1 @ X2))) & ! [X0 : a] : ((cP @ cE @ X0) = X0) & ! [X1 : a] : (cE = (cP @ (cJ @ X1) @ X1))) => ! [X3 : a,X4 : a] : ? [X5 : a] : ((cP @ X3 @ X5) = X4))),
% 1.54/1.42 inference(negated_conjecture,[status(cth)],[f1])).
% 1.54/1.42 thf(f1,conjecture,(
% 1.54/1.42 (! [X1 : a,X2 : a,X0 : a] : ((cP @ (cP @ X0 @ X1) @ X2) = (cP @ X0 @ (cP @ X1 @ X2))) & ! [X0 : a] : ((cP @ cE @ X0) = X0) & ! [X1 : a] : (cE = (cP @ (cJ @ X1) @ X1))) => ! [X3 : a,X4 : a] : ? [X5 : a] : ((cP @ X3 @ X5) = X4)),
% 1.54/1.42 file('/export/starexec/sandbox/tmp/tmp.adJdOsWdEH/DTF2THF_19483.p',cTHM20_pme)).
% 1.54/1.42 thf(f19,plain,(
% 1.54/1.42 ( ! [X0 : a,X1 : a] : (((cP @ (cJ @ X0) @ (cP @ X0 @ X1)) = X1)) )),
% 1.54/1.42 inference(forward_demodulation,[status(thm)],[f15,f13])).
% 1.54/1.42 thf(f13,plain,(
% 1.54/1.42 ( ! [X0 : a] : (((cP @ cE @ X0) = X0)) )),
% 1.54/1.42 inference(cnf_transformation,[status(thm)],[f9])).
% 1.54/1.42 thf(f15,plain,(
% 1.54/1.42 ( ! [X0 : a,X1 : a] : (((cP @ cE @ X1) = (cP @ (cJ @ X0) @ (cP @ X0 @ X1)))) )),
% 1.54/1.42 inference(superposition,[status(thm)],[f11,f10])).
% 1.54/1.42 thf(f11,plain,(
% 1.54/1.42 ( ! [X6 : a,X4 : a,X5 : a] : (((cP @ (cP @ X5 @ X6) @ X4) = (cP @ X5 @ (cP @ X6 @ X4)))) )),
% 1.54/1.42 inference(cnf_transformation,[status(thm)],[f9])).
% 1.54/1.42 thf(f12,plain,(
% 1.54/1.42 ( ! [X3 : a] : ((sK0 != (cP @ sK1 @ X3))) )),
% 1.54/1.42 inference(cnf_transformation,[status(thm)],[f9])).
% 1.54/1.42 % SZS output end Proof for DTF2THF_19483
% 1.54/1.42 % (19606)------------------------------
% 1.54/1.42 % (19606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.42 % (19606)Termination reason: Refutation
% 1.54/1.42
% 1.54/1.42 % (19606)Memory used [KB]: 5500
% 1.54/1.42 % (19606)Time elapsed: 0.009 s
% 1.54/1.42 % (19606)Instructions burned: 18 (million)
% 1.54/1.42 % (19606)------------------------------
% 1.54/1.42 % (19606)------------------------------
% 1.54/1.42 % (19579)Success in time 0.111 s
%------------------------------------------------------------------------------