TSTP Solution File: NUM798^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM798^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 : Tue May 21 01:46:09 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 30 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 38 ( 6 ~; 0 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 124 ( 124 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 1 con; 0-4 aty)
% Number of variables : 39 ( 31 ^ 4 !; 3 ?; 39 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
zero: ( $i > $i ) > $i > $i ).
thf(func_def_1,type,
one: ( $i > $i ) > $i > $i ).
thf(func_def_2,type,
two: ( $i > $i ) > $i > $i ).
thf(func_def_3,type,
three: ( $i > $i ) > $i > $i ).
thf(func_def_4,type,
four: ( $i > $i ) > $i > $i ).
thf(func_def_5,type,
five: ( $i > $i ) > $i > $i ).
thf(func_def_6,type,
six: ( $i > $i ) > $i > $i ).
thf(func_def_7,type,
seven: ( $i > $i ) > $i > $i ).
thf(func_def_8,type,
eight: ( $i > $i ) > $i > $i ).
thf(func_def_9,type,
nine: ( $i > $i ) > $i > $i ).
thf(func_def_10,type,
ten: ( $i > $i ) > $i > $i ).
thf(func_def_11,type,
succ: ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_12,type,
plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_13,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f42,plain,
$false,
inference(equality_resolution,[],[f41]) ).
thf(f41,plain,
! [X0: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: $i > $i] : Y0 )
!= X0 ),
inference(beta_eta_normalization,[],[f40]) ).
thf(f40,plain,
! [X0: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ X0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ Y1 ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ Y1 ) ) ),
inference(definition_unfolding,[],[f38,f37,f39,f37]) ).
thf(f39,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
( mult
= ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) ) ),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
( mult
= ( ^ [X3: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X0: $i > $i,X1: $i] : ( X3 @ ( X2 @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mult_ax) ).
thf(f37,plain,
( one
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( one
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i,X1: $i] : ( X0 @ X1 ) )
= one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_ax) ).
thf(f38,plain,
! [X0: ( $i > $i ) > $i > $i] :
( one
!= ( mult @ X0 @ one ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f36,plain,
! [X0: ( $i > $i ) > $i > $i] :
( one
!= ( mult @ X0 @ one ) ),
inference(ennf_transformation,[],[f35]) ).
thf(f35,plain,
~ ? [X0: ( $i > $i ) > $i > $i] :
( one
= ( mult @ X0 @ one ) ),
inference(rectify,[],[f16]) ).
thf(f16,negated_conjecture,
~ ? [X2: ( $i > $i ) > $i > $i] :
( one
= ( mult @ X2 @ one ) ),
inference(negated_conjecture,[],[f15]) ).
thf(f15,conjecture,
? [X2: ( $i > $i ) > $i > $i] :
( one
= ( mult @ X2 @ one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM798^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 07:05:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.21/0.37 % (10485)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (10487)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 (2999ds/27Mi)
% 0.21/0.37 % (10488)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (10486)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 (2999ds/4Mi)
% 0.21/0.37 % (10490)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 (2999ds/275Mi)
% 0.21/0.37 % (10491)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (10488)Instruction limit reached!
% 0.21/0.37 % (10488)------------------------------
% 0.21/0.37 % (10488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (10488)Termination reason: Unknown
% 0.21/0.37 % (10488)Termination phase: Preprocessing 1
% 0.21/0.37
% 0.21/0.37 % (10488)Memory used [KB]: 895
% 0.21/0.37 % (10488)Time elapsed: 0.003 s
% 0.21/0.37 % (10488)Instructions burned: 2 (million)
% 0.21/0.37 % (10488)------------------------------
% 0.21/0.37 % (10488)------------------------------
% 0.21/0.37 % (10490)First to succeed.
% 0.21/0.37 % (10491)Also succeeded, but the first one will report.
% 0.21/0.37 % (10489)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 (2999ds/2Mi)
% 0.21/0.37 % (10486)Also succeeded, but the first one will report.
% 0.21/0.37 % (10490)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (10490)------------------------------
% 0.21/0.37 % (10490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (10490)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (10490)Memory used [KB]: 5500
% 0.21/0.37 % (10490)Time elapsed: 0.004 s
% 0.21/0.37 % (10490)Instructions burned: 2 (million)
% 0.21/0.37 % (10490)------------------------------
% 0.21/0.37 % (10490)------------------------------
% 0.21/0.37 % (10484)Success in time 0.007 s
% 0.21/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------