TSTP Solution File: ALG001^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG001^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Mon May 20 18:16:47 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 28 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 35 ( 34 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 310 ( 13 ~; 0 |; 15 &; 277 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 ^ 61 !; 32 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_6,type,
sK0: g > g > g ).
thf(func_def_7,type,
sK1: g > b ).
thf(func_def_8,type,
sK2: b > a ).
thf(func_def_9,type,
sK3: b > b > b ).
thf(func_def_10,type,
sK4: a > a > a ).
thf(func_def_11,type,
sK5: g ).
thf(func_def_12,type,
sK6: g ).
thf(f16,plain,
$false,
inference(trivial_inequality_removal,[],[f15]) ).
thf(f15,plain,
( ( sK2 @ ( sK1 @ ( sK0 @ sK5 @ sK6 ) ) )
!= ( sK2 @ ( sK1 @ ( sK0 @ sK5 @ sK6 ) ) ) ),
inference(forward_demodulation,[],[f14,f12]) ).
thf(f12,plain,
! [X8: g,X7: g] :
( ( sK3 @ ( sK1 @ X8 ) @ ( sK1 @ X7 ) )
= ( sK1 @ ( sK0 @ X8 @ X7 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( ( sK4 @ ( sK2 @ ( sK1 @ sK5 ) ) @ ( sK2 @ ( sK1 @ sK6 ) ) )
!= ( sK2 @ ( sK1 @ ( sK0 @ sK5 @ sK6 ) ) ) )
& ! [X7: g,X8: g] :
( ( sK3 @ ( sK1 @ X8 ) @ ( sK1 @ X7 ) )
= ( sK1 @ ( sK0 @ X8 @ X7 ) ) )
& ! [X9: b,X10: b] :
( ( sK2 @ ( sK3 @ X9 @ X10 ) )
= ( sK4 @ ( sK2 @ X9 ) @ ( sK2 @ X10 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X0: g > g > g,X1: g > b,X2: b > a,X3: b > b > b,X4: a > a > a] :
( ? [X5: g,X6: g] :
( ( X2 @ ( X1 @ ( X0 @ X5 @ X6 ) ) )
!= ( X4 @ ( X2 @ ( X1 @ X5 ) ) @ ( X2 @ ( X1 @ X6 ) ) ) )
& ! [X7: g,X8: g] :
( ( X3 @ ( X1 @ X8 ) @ ( X1 @ X7 ) )
= ( X1 @ ( X0 @ X8 @ X7 ) ) )
& ! [X9: b,X10: b] :
( ( X2 @ ( X3 @ X9 @ X10 ) )
= ( X4 @ ( X2 @ X9 ) @ ( X2 @ X10 ) ) ) )
=> ( ? [X6: g,X5: g] :
( ( sK2 @ ( sK1 @ ( sK0 @ X5 @ X6 ) ) )
!= ( sK4 @ ( sK2 @ ( sK1 @ X5 ) ) @ ( sK2 @ ( sK1 @ X6 ) ) ) )
& ! [X8: g,X7: g] :
( ( sK3 @ ( sK1 @ X8 ) @ ( sK1 @ X7 ) )
= ( sK1 @ ( sK0 @ X8 @ X7 ) ) )
& ! [X10: b,X9: b] :
( ( sK2 @ ( sK3 @ X9 @ X10 ) )
= ( sK4 @ ( sK2 @ X9 ) @ ( sK2 @ X10 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X6: g,X5: g] :
( ( sK2 @ ( sK1 @ ( sK0 @ X5 @ X6 ) ) )
!= ( sK4 @ ( sK2 @ ( sK1 @ X5 ) ) @ ( sK2 @ ( sK1 @ X6 ) ) ) )
=> ( ( sK4 @ ( sK2 @ ( sK1 @ sK5 ) ) @ ( sK2 @ ( sK1 @ sK6 ) ) )
!= ( sK2 @ ( sK1 @ ( sK0 @ sK5 @ sK6 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: g > g > g,X1: g > b,X2: b > a,X3: b > b > b,X4: a > a > a] :
( ? [X5: g,X6: g] :
( ( X2 @ ( X1 @ ( X0 @ X5 @ X6 ) ) )
!= ( X4 @ ( X2 @ ( X1 @ X5 ) ) @ ( X2 @ ( X1 @ X6 ) ) ) )
& ! [X7: g,X8: g] :
( ( X3 @ ( X1 @ X8 ) @ ( X1 @ X7 ) )
= ( X1 @ ( X0 @ X8 @ X7 ) ) )
& ! [X9: b,X10: b] :
( ( X2 @ ( X3 @ X9 @ X10 ) )
= ( X4 @ ( X2 @ X9 ) @ ( X2 @ X10 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
? [X4: g > g > g,X3: g > b,X2: b > a,X1: b > b > b,X0: a > a > a] :
( ? [X10: g,X9: g] :
( ( X0 @ ( X2 @ ( X3 @ X10 ) ) @ ( X2 @ ( X3 @ X9 ) ) )
!= ( X2 @ ( X3 @ ( X4 @ X10 @ X9 ) ) ) )
& ! [X8: g,X7: g] :
( ( X3 @ ( X4 @ X7 @ X8 ) )
= ( X1 @ ( X3 @ X7 ) @ ( X3 @ X8 ) ) )
& ! [X5: b,X6: b] :
( ( X2 @ ( X1 @ X5 @ X6 ) )
= ( X0 @ ( X2 @ X5 ) @ ( X2 @ X6 ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
? [X4: g > g > g,X0: a > a > a,X1: b > b > b,X3: g > b,X2: b > a] :
( ? [X10: g,X9: g] :
( ( X0 @ ( X2 @ ( X3 @ X10 ) ) @ ( X2 @ ( X3 @ X9 ) ) )
!= ( X2 @ ( X3 @ ( X4 @ X10 @ X9 ) ) ) )
& ! [X8: g,X7: g] :
( ( X3 @ ( X4 @ X7 @ X8 ) )
= ( X1 @ ( X3 @ X7 ) @ ( X3 @ X8 ) ) )
& ! [X5: b,X6: b] :
( ( X2 @ ( X1 @ X5 @ X6 ) )
= ( X0 @ ( X2 @ X5 ) @ ( X2 @ X6 ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ! [X4: g > g > g,X0: a > a > a,X1: b > b > b,X3: g > b,X2: b > a] :
( ( ! [X8: g,X7: g] :
( ( X3 @ ( X4 @ X7 @ X8 ) )
= ( X1 @ ( X3 @ X7 ) @ ( X3 @ X8 ) ) )
& ! [X5: b,X6: b] :
( ( X2 @ ( X1 @ X5 @ X6 ) )
= ( X0 @ ( X2 @ X5 ) @ ( X2 @ X6 ) ) ) )
=> ! [X10: g,X9: g] :
( ( X0 @ ( X2 @ ( X3 @ X10 ) ) @ ( X2 @ ( X3 @ X9 ) ) )
= ( X2 @ ( X3 @ ( X4 @ X10 @ X9 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X4: a > a > a,X3: b > b > b,X1: b > a,X0: g > b,X2: g > g > g] :
( ( ! [X5: b,X6: b] :
( ( X1 @ ( X3 @ X5 @ X6 ) )
= ( X4 @ ( X1 @ X5 ) @ ( X1 @ X6 ) ) )
& ! [X5: g,X6: g] :
( ( X0 @ ( X2 @ X5 @ X6 ) )
= ( X3 @ ( X0 @ X5 ) @ ( X0 @ X6 ) ) ) )
=> ! [X6: g,X5: g] :
( ( X1 @ ( X0 @ ( X2 @ X5 @ X6 ) ) )
= ( X4 @ ( X1 @ ( X0 @ X5 ) ) @ ( X1 @ ( X0 @ X6 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X4: a > a > a,X3: b > b > b,X1: b > a,X0: g > b,X2: g > g > g] :
( ( ! [X5: b,X6: b] :
( ( X1 @ ( X3 @ X5 @ X6 ) )
= ( X4 @ ( X1 @ X5 ) @ ( X1 @ X6 ) ) )
& ! [X5: g,X6: g] :
( ( X0 @ ( X2 @ X5 @ X6 ) )
= ( X3 @ ( X0 @ X5 ) @ ( X0 @ X6 ) ) ) )
=> ! [X6: g,X5: g] :
( ( X1 @ ( X0 @ ( X2 @ X5 @ X6 ) ) )
= ( X4 @ ( X1 @ ( X0 @ X5 ) ) @ ( X1 @ ( X0 @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM133_pme) ).
thf(f14,plain,
( ( sK2 @ ( sK3 @ ( sK1 @ sK5 ) @ ( sK1 @ sK6 ) ) )
!= ( sK2 @ ( sK1 @ ( sK0 @ sK5 @ sK6 ) ) ) ),
inference(superposition,[],[f13,f11]) ).
thf(f11,plain,
! [X10: b,X9: b] :
( ( sK2 @ ( sK3 @ X9 @ X10 ) )
= ( sK4 @ ( sK2 @ X9 ) @ ( sK2 @ X10 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f13,plain,
( ( sK4 @ ( sK2 @ ( sK1 @ sK5 ) ) @ ( sK2 @ ( sK1 @ sK6 ) ) )
!= ( sK2 @ ( sK1 @ ( sK0 @ sK5 @ sK6 ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ALG001^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 23:24:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 ipcrm: permission denied for id (1675788288)
% 0.11/0.34 ipcrm: permission denied for id (1675821057)
% 0.11/0.35 ipcrm: permission denied for id (1675919372)
% 0.11/0.35 ipcrm: permission denied for id (1676312591)
% 0.19/0.36 ipcrm: permission denied for id (1676574741)
% 0.19/0.37 ipcrm: permission denied for id (1676640281)
% 0.19/0.37 ipcrm: permission denied for id (1676705823)
% 0.19/0.37 ipcrm: permission denied for id (1676738592)
% 0.19/0.37 ipcrm: permission denied for id (1676771361)
% 0.19/0.38 ipcrm: permission denied for id (1676869671)
% 0.19/0.38 ipcrm: permission denied for id (1676967977)
% 0.19/0.39 ipcrm: permission denied for id (1677033517)
% 0.19/0.39 ipcrm: permission denied for id (1677066287)
% 0.19/0.40 ipcrm: permission denied for id (1677131831)
% 0.19/0.40 ipcrm: permission denied for id (1677164602)
% 0.19/0.41 ipcrm: permission denied for id (1677262911)
% 0.19/0.42 ipcrm: permission denied for id (1677328451)
% 0.19/0.43 ipcrm: permission denied for id (1677426765)
% 0.19/0.43 ipcrm: permission denied for id (1677459535)
% 0.19/0.43 ipcrm: permission denied for id (1677525073)
% 0.19/0.43 ipcrm: permission denied for id (1677557842)
% 0.19/0.44 ipcrm: permission denied for id (1677754455)
% 0.19/0.45 ipcrm: permission denied for id (1677820000)
% 0.19/0.45 ipcrm: permission denied for id (1677852769)
% 0.19/0.45 ipcrm: permission denied for id (1677885539)
% 0.19/0.46 ipcrm: permission denied for id (1677983847)
% 0.19/0.50 % (13288)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.19/0.50 % (13289)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.19/0.50 % (13291)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.19/0.50 % (13285)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.19/0.50 % (13290)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
% 0.19/0.50 % (13286)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 theBenchmark for (2998ds/4Mi)
% 0.19/0.50 % (13287)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 theBenchmark for (2998ds/27Mi)
% 0.19/0.50 % (13292)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.19/0.51 % (13289)Instruction limit reached!
% 0.19/0.51 % (13289)------------------------------
% 0.19/0.51 % (13289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (13289)Termination reason: Unknown
% 0.19/0.51 % (13289)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (13289)Memory used [KB]: 895
% 0.19/0.51 % (13289)Time elapsed: 0.003 s
% 0.19/0.51 % (13289)Instructions burned: 2 (million)
% 0.19/0.51 % (13289)------------------------------
% 0.19/0.51 % (13289)------------------------------
% 0.19/0.51 % (13288)Instruction limit reached!
% 0.19/0.51 % (13288)------------------------------
% 0.19/0.51 % (13288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (13288)Termination reason: Unknown
% 0.19/0.51 % (13288)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (13288)Memory used [KB]: 5500
% 0.19/0.51 % (13288)Time elapsed: 0.004 s
% 0.19/0.51 % (13288)Instructions burned: 2 (million)
% 0.19/0.51 % (13288)------------------------------
% 0.19/0.51 % (13288)------------------------------
% 0.19/0.51 % (13292)Instruction limit reached!
% 0.19/0.51 % (13292)------------------------------
% 0.19/0.51 % (13292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (13292)Termination reason: Unknown
% 0.19/0.51 % (13292)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (13292)Memory used [KB]: 5500
% 0.19/0.51 % (13292)Time elapsed: 0.004 s
% 0.19/0.51 % (13292)Instructions burned: 3 (million)
% 0.19/0.51 % (13290)First to succeed.
% 0.19/0.51 % (13292)------------------------------
% 0.19/0.51 % (13292)------------------------------
% 0.19/0.51 % (13286)Also succeeded, but the first one will report.
% 0.19/0.51 % (13290)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (13290)------------------------------
% 0.19/0.51 % (13290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (13290)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (13290)Memory used [KB]: 5500
% 0.19/0.51 % (13290)Time elapsed: 0.005 s
% 0.19/0.51 % (13290)Instructions burned: 3 (million)
% 0.19/0.51 % (13290)------------------------------
% 0.19/0.51 % (13290)------------------------------
% 0.19/0.51 % (13151)Success in time 0.178 s
% 0.19/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------