TSTP Solution File: ALG280^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG280^5 : 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 : n029.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 18:20:48 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 41 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 180 ( 10 ~; 0 |; 18 &; 148 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 0 ^ 51 !; 4 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cE: a ).
thf(func_def_2,type,
cP: a > a > a ).
thf(func_def_3,type,
cJ: a > a ).
thf(func_def_7,type,
sK0: a ).
thf(f55,plain,
$false,
inference(trivial_inequality_removal,[],[f54]) ).
thf(f54,plain,
sK0 != sK0,
inference(superposition,[],[f11,f37]) ).
thf(f37,plain,
! [X0: a] :
( ( cP @ X0 @ cE )
= X0 ),
inference(superposition,[],[f21,f23]) ).
thf(f23,plain,
! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ X1 ) ),
inference(superposition,[],[f19,f19]) ).
thf(f19,plain,
! [X0: a,X1: a] :
( ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) )
= X1 ),
inference(forward_demodulation,[],[f15,f12]) ).
thf(f12,plain,
! [X1: a] :
( ( cP @ cE @ X1 )
= X1 ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ! [X0: a] :
( cE
= ( cP @ ( cJ @ X0 ) @ X0 ) )
& ! [X1: a] :
( ( cP @ cE @ X1 )
= X1 )
& ( sK0
!= ( cP @ sK0 @ cE ) )
& ! [X3: a,X4: a,X5: a] :
( ( cP @ ( cP @ X5 @ X3 ) @ X4 )
= ( cP @ X5 @ ( cP @ X3 @ X4 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
thf(f8,plain,
( ? [X2: a] :
( ( cP @ X2 @ cE )
!= X2 )
=> ( sK0
!= ( cP @ sK0 @ cE ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
( ! [X0: a] :
( cE
= ( cP @ ( cJ @ X0 ) @ X0 ) )
& ! [X1: a] :
( ( cP @ cE @ X1 )
= X1 )
& ? [X2: a] :
( ( cP @ X2 @ cE )
!= X2 )
& ! [X3: a,X4: a,X5: a] :
( ( cP @ ( cP @ X5 @ X3 ) @ X4 )
= ( cP @ X5 @ ( cP @ X3 @ X4 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
( ! [X3: a] :
( cE
= ( cP @ ( cJ @ X3 ) @ X3 ) )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 )
& ? [X5: a] :
( ( cP @ X5 @ cE )
!= X5 )
& ! [X0: a,X1: a,X2: a] :
( ( cP @ X2 @ ( cP @ X0 @ X1 ) )
= ( cP @ ( cP @ X2 @ X0 ) @ X1 ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ? [X5: a] :
( ( cP @ X5 @ cE )
!= X5 )
& ! [X3: a] :
( cE
= ( cP @ ( cJ @ X3 ) @ X3 ) )
& ! [X0: a,X1: a,X2: a] :
( ( cP @ X2 @ ( cP @ X0 @ X1 ) )
= ( cP @ ( cP @ X2 @ X0 ) @ X1 ) )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X3: a] :
( cE
= ( cP @ ( cJ @ X3 ) @ X3 ) )
& ! [X0: a,X1: a,X2: a] :
( ( cP @ X2 @ ( cP @ X0 @ X1 ) )
= ( cP @ ( cP @ X2 @ X0 ) @ X1 ) )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 ) )
=> ! [X5: a] :
( ( cP @ X5 @ cE )
= X5 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X1: a,X2: a,X0: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 ) )
=> ! [X3: a] :
( ( cP @ X3 @ cE )
= X3 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X1: a,X2: a,X0: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 ) )
=> ! [X3: a] :
( ( cP @ X3 @ cE )
= X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM17_pme) ).
thf(f15,plain,
! [X0: a,X1: a] :
( ( cP @ cE @ X1 )
= ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) ) ),
inference(superposition,[],[f10,f13]) ).
thf(f13,plain,
! [X0: a] :
( cE
= ( cP @ ( cJ @ X0 ) @ X0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f10,plain,
! [X3: a,X4: a,X5: a] :
( ( cP @ ( cP @ X5 @ X3 ) @ X4 )
= ( cP @ X5 @ ( cP @ X3 @ X4 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,plain,
! [X0: a] :
( ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE )
= X0 ),
inference(superposition,[],[f19,f13]) ).
thf(f11,plain,
( sK0
!= ( cP @ sK0 @ cE ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG280^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat May 18 23:14:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 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
% 0.14/0.39 % (30632)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.39 % (30629)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 (3000ds/4Mi)
% 0.14/0.39 % (30633)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 (3000ds/2Mi)
% 0.14/0.39 % (30628)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.39 % (30635)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.39 % (30636)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.39 % (30634)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 (3000ds/275Mi)
% 0.14/0.39 % (30631)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 (3000ds/27Mi)
% 0.14/0.39 % (30632)Instruction limit reached!
% 0.14/0.39 % (30632)------------------------------
% 0.14/0.39 % (30632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30632)Termination reason: Unknown
% 0.14/0.39 % (30632)Termination phase: Saturation
% 0.14/0.39 % (30633)Instruction limit reached!
% 0.14/0.39 % (30633)------------------------------
% 0.14/0.39 % (30633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30633)Termination reason: Unknown
% 0.14/0.39 % (30633)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (30633)Memory used [KB]: 5500
% 0.14/0.39 % (30633)Time elapsed: 0.003 s
% 0.14/0.39 % (30633)Instructions burned: 2 (million)
% 0.14/0.39 % (30633)------------------------------
% 0.14/0.39 % (30633)------------------------------
% 0.14/0.39
% 0.14/0.39 % (30632)Memory used [KB]: 5373
% 0.14/0.39 % (30632)Time elapsed: 0.003 s
% 0.14/0.39 % (30632)Instructions burned: 2 (million)
% 0.14/0.39 % (30632)------------------------------
% 0.14/0.39 % (30632)------------------------------
% 0.14/0.39 % (30636)Instruction limit reached!
% 0.14/0.39 % (30636)------------------------------
% 0.14/0.39 % (30636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30636)Termination reason: Unknown
% 0.14/0.39 % (30636)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (30636)Memory used [KB]: 5500
% 0.14/0.39 % (30636)Time elapsed: 0.005 s
% 0.14/0.39 % (30636)Instructions burned: 4 (million)
% 0.14/0.39 % (30636)------------------------------
% 0.14/0.39 % (30636)------------------------------
% 0.14/0.39 % (30629)Instruction limit reached!
% 0.14/0.39 % (30629)------------------------------
% 0.14/0.39 % (30629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30629)Termination reason: Unknown
% 0.14/0.39 % (30629)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (30629)Memory used [KB]: 5500
% 0.14/0.39 % (30629)Time elapsed: 0.005 s
% 0.14/0.39 % (30629)Instructions burned: 4 (million)
% 0.14/0.39 % (30629)------------------------------
% 0.14/0.39 % (30629)------------------------------
% 0.14/0.39 % (30634)First to succeed.
% 0.14/0.40 % (30634)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (30634)------------------------------
% 0.14/0.40 % (30634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (30634)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (30634)Memory used [KB]: 5500
% 0.14/0.40 % (30634)Time elapsed: 0.007 s
% 0.14/0.40 % (30634)Instructions burned: 7 (million)
% 0.14/0.40 % (30634)------------------------------
% 0.14/0.40 % (30634)------------------------------
% 0.14/0.40 % (30627)Success in time 0.01 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------