TSTP Solution File: NUM695^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM695^1 : 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 : 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 : Tue May 21 01:44:52 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 33 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 56 ( 6 ~; 0 |; 0 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
more: nat > nat > $o ).
thf(func_def_3,type,
suc: nat > nat ).
thf(func_def_4,type,
n_1: nat ).
thf(func_def_6,type,
pl: nat > nat > nat ).
thf(func_def_9,type,
sK0: nat > nat ).
thf(f36,plain,
$false,
inference(trivial_inequality_removal,[],[f35]) ).
thf(f35,plain,
$true != $true,
inference(superposition,[],[f26,f33]) ).
thf(f33,plain,
! [X0: nat] :
( $true
= ( more @ ( suc @ X0 ) @ n_1 ) ),
inference(superposition,[],[f25,f29]) ).
thf(f29,plain,
! [X0: nat] :
( ( suc @ X0 )
= ( pl @ n_1 @ X0 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: nat] :
( ( suc @ X0 )
= ( pl @ n_1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X1: nat] :
( ( suc @ X1 )
= ( pl @ n_1 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4g) ).
thf(f25,plain,
! [X0: nat,X1: nat] :
( ( more @ ( pl @ X0 @ X1 ) @ X0 )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
! [X0: nat,X1: nat] :
( ( more @ ( pl @ X0 @ X1 ) @ X0 )
= $true ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
! [X1: nat,X0: nat] :
( $true
= ( more @ ( pl @ X1 @ X0 ) @ X1 ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: nat,X1: nat] : ( more @ ( pl @ X1 @ X0 ) @ X1 ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X3: nat,X1: nat] : ( more @ ( pl @ X1 @ X3 ) @ X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18) ).
thf(f26,plain,
( ( more @ ( suc @ x ) @ n_1 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( ( more @ ( suc @ x ) @ n_1 )
!= $true ),
inference(flattening,[],[f14]) ).
thf(f14,plain,
( ( more @ ( suc @ x ) @ n_1 )
!= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(rectify,[],[f7]) ).
thf(f7,negated_conjecture,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
more @ ( suc @ x ) @ n_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM695^1 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.11 % 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
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 07:16:52 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 This is a TH0_THM_EQU_NAR problem
% 0.15/0.31 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
% 0.15/0.33 % (25746)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.33 % (25752)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.33 % (25748)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)
% 0.15/0.33 % (25751)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)
% 0.15/0.33 % (25747)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)
% 0.15/0.33 % (25749)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.33 % (25753)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)
% 0.15/0.33 % (25750)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)
% 0.15/0.33 % (25751)Refutation not found, incomplete strategy
% 0.15/0.33 % (25751)------------------------------
% 0.15/0.33 % (25751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (25751)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.33
% 0.15/0.33
% 0.15/0.33 % (25751)Memory used [KB]: 5500
% 0.15/0.33 % (25751)Time elapsed: 0.002 s
% 0.15/0.33 % (25751)Instructions burned: 1 (million)
% 0.15/0.33 % (25751)------------------------------
% 0.15/0.33 % (25751)------------------------------
% 0.15/0.33 % (25749)Instruction limit reached!
% 0.15/0.33 % (25749)------------------------------
% 0.15/0.33 % (25749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (25749)Termination reason: Unknown
% 0.15/0.33 % (25749)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (25750)Instruction limit reached!
% 0.15/0.33 % (25750)------------------------------
% 0.15/0.33 % (25750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (25749)Memory used [KB]: 5500
% 0.15/0.33 % (25749)Time elapsed: 0.003 s
% 0.15/0.33 % (25749)Instructions burned: 2 (million)
% 0.15/0.33 % (25749)------------------------------
% 0.15/0.33 % (25749)------------------------------
% 0.15/0.33 % (25746)First to succeed.
% 0.15/0.33 % (25750)Termination reason: Unknown
% 0.15/0.33 % (25750)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (25750)Memory used [KB]: 1023
% 0.15/0.33 % (25750)Time elapsed: 0.003 s
% 0.15/0.33 % (25750)Instructions burned: 2 (million)
% 0.15/0.33 % (25750)------------------------------
% 0.15/0.33 % (25750)------------------------------
% 0.15/0.33 % (25748)Also succeeded, but the first one will report.
% 0.15/0.33 % (25747)Instruction limit reached!
% 0.15/0.33 % (25747)------------------------------
% 0.15/0.33 % (25747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (25747)Termination reason: Unknown
% 0.15/0.33 % (25747)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (25747)Memory used [KB]: 5500
% 0.15/0.33 % (25747)Time elapsed: 0.004 s
% 0.15/0.33 % (25747)Instructions burned: 4 (million)
% 0.15/0.33 % (25747)------------------------------
% 0.15/0.33 % (25747)------------------------------
% 0.15/0.33 % (25746)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (25746)------------------------------
% 0.15/0.33 % (25746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (25746)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (25746)Memory used [KB]: 5500
% 0.15/0.33 % (25746)Time elapsed: 0.003 s
% 0.15/0.33 % (25746)Instructions burned: 2 (million)
% 0.15/0.33 % (25746)------------------------------
% 0.15/0.33 % (25746)------------------------------
% 0.15/0.33 % (25745)Success in time 0.003 s
% 0.15/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------