TSTP Solution File: NUM696^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM696^1 : 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 : n032.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 01:44:53 EDT 2024
% Result : Theorem 0.17s 0.34s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 15 unt; 9 typ; 0 def)
% Number of atoms : 61 ( 60 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 257 ( 39 ~; 11 |; 1 &; 195 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 68 ( 0 ^ 61 !; 7 ?; 68 :)
% 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,
y: nat ).
thf(func_def_3,type,
pl: nat > nat > nat ).
thf(func_def_5,type,
n_1: nat ).
thf(func_def_8,type,
sK0: nat ).
thf(func_def_9,type,
sK1: nat > nat > nat > nat ).
thf(func_def_10,type,
sK2: nat > nat ).
thf(f83,plain,
$false,
inference(trivial_inequality_removal,[],[f82]) ).
thf(f82,plain,
( ( pl @ x @ n_1 )
!= ( pl @ x @ n_1 ) ),
inference(superposition,[],[f37,f79]) ).
thf(f79,plain,
n_1 = sK0,
inference(equality_resolution,[],[f76]) ).
thf(f76,plain,
! [X0: nat] :
( ( ( pl @ x @ X0 )
!= ( pl @ x @ sK0 ) )
| ( n_1 = X0 ) ),
inference(superposition,[],[f72,f30]) ).
thf(f30,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X3: nat,X2: nat] :
( ( pl @ X2 @ X3 )
= ( pl @ X3 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6) ).
thf(f72,plain,
! [X0: nat] :
( ( ( pl @ X0 @ x )
!= ( pl @ x @ sK0 ) )
| ( n_1 = X0 ) ),
inference(superposition,[],[f36,f65]) ).
thf(f65,plain,
! [X0: nat,X1: nat] :
( ( ( pl @ X1 @ X0 )
= ( pl @ ( pl @ X0 @ n_1 ) @ ( sK1 @ X1 @ X0 @ n_1 ) ) )
| ( n_1 = X1 ) ),
inference(superposition,[],[f44,f30]) ).
thf(f44,plain,
! [X0: nat,X1: nat] :
( ( ( pl @ ( pl @ n_1 @ X1 ) @ ( sK1 @ X0 @ X1 @ n_1 ) )
= ( pl @ X0 @ X1 ) )
| ( n_1 = X0 ) ),
inference(superposition,[],[f38,f32]) ).
thf(f32,plain,
! [X0: nat] :
( ( ( pl @ n_1 @ ( sK2 @ X0 ) )
= X0 )
| ( n_1 = X0 ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f28,plain,
! [X0: nat] :
( ( n_1 = X0 )
| ( ( pl @ n_1 @ ( sK2 @ X0 ) )
= X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f27]) ).
thf(f27,plain,
! [X0: nat] :
( ? [X1: nat] :
( ( pl @ n_1 @ X1 )
= X0 )
=> ( ( pl @ n_1 @ ( sK2 @ X0 ) )
= X0 ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
! [X0: nat] :
( ( n_1 = X0 )
| ? [X1: nat] :
( ( pl @ n_1 @ X1 )
= X0 ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: nat] :
( ! [X1: nat] :
( ( pl @ n_1 @ X1 )
!= X0 )
=> ( n_1 = X0 ) ),
inference(flattening,[],[f11]) ).
thf(f11,plain,
! [X0: nat] :
( ~ ~ ! [X1: nat] :
( ( pl @ n_1 @ X1 )
!= X0 )
=> ( n_1 = X0 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X2: nat] :
( ~ ~ ! [X0: nat] :
( ( pl @ n_1 @ X0 )
!= X2 )
=> ( n_1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24) ).
thf(f38,plain,
! [X0: nat,X1: nat,X4: nat] :
( ( pl @ ( pl @ X0 @ X4 ) @ X1 )
= ( pl @ ( pl @ X0 @ X1 ) @ ( sK1 @ ( pl @ X0 @ X4 ) @ X1 @ X0 ) ) ),
inference(equality_resolution,[],[f31]) ).
thf(f31,plain,
! [X2: nat,X0: nat,X1: nat,X4: nat] :
( ( ( pl @ X2 @ X1 )
= ( pl @ ( pl @ X0 @ X1 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) )
| ( ( pl @ X0 @ X4 )
!= X2 ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( pl @ X2 @ X1 )
= ( pl @ ( pl @ X0 @ X1 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) )
| ! [X4: nat] :
( ( pl @ X0 @ X4 )
!= X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f25]) ).
thf(f25,plain,
! [X0: nat,X1: nat,X2: nat] :
( ? [X3: nat] :
( ( pl @ ( pl @ X0 @ X1 ) @ X3 )
= ( pl @ X2 @ X1 ) )
=> ( ( pl @ X2 @ X1 )
= ( pl @ ( pl @ X0 @ X1 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f24,plain,
! [X0: nat,X1: nat,X2: nat] :
( ? [X3: nat] :
( ( pl @ ( pl @ X0 @ X1 ) @ X3 )
= ( pl @ X2 @ X1 ) )
| ! [X4: nat] :
( ( pl @ X0 @ X4 )
!= X2 ) ),
inference(rectify,[],[f18]) ).
thf(f18,plain,
! [X1: nat,X2: nat,X0: nat] :
( ? [X4: nat] :
( ( pl @ X0 @ X2 )
= ( pl @ ( pl @ X1 @ X2 ) @ X4 ) )
| ! [X3: nat] :
( ( pl @ X1 @ X3 )
!= X0 ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ! [X3: nat] :
( ( pl @ X1 @ X3 )
!= X0 )
=> ~ ! [X4: nat] :
( ( pl @ X0 @ X2 )
!= ( pl @ ( pl @ X1 @ X2 ) @ X4 ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X2: nat,X3: nat,X4: nat] :
( ~ ! [X0: nat] :
( ( pl @ X3 @ X0 )
!= X2 )
=> ~ ! [X0: nat] :
( ( pl @ X2 @ X4 )
!= ( pl @ ( pl @ X3 @ X4 ) @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a) ).
thf(f36,plain,
! [X0: nat] :
( ( pl @ ( pl @ x @ n_1 ) @ X0 )
!= ( pl @ x @ sK0 ) ),
inference(definition_unfolding,[],[f34,f29]) ).
thf(f29,plain,
( y
= ( pl @ x @ sK0 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( y
= ( pl @ x @ sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f22]) ).
thf(f22,plain,
( ? [X0: nat] :
( y
= ( pl @ x @ X0 ) )
=> ( y
= ( pl @ x @ sK0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
? [X0: nat] :
( y
= ( pl @ x @ X0 ) ),
inference(ennf_transformation,[],[f1]) ).
thf(f1,axiom,
~ ! [X0: nat] :
( y
!= ( pl @ x @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f34,plain,
! [X0: nat] :
( y
!= ( pl @ ( pl @ x @ n_1 ) @ X0 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ! [X0: nat] :
( y
!= ( pl @ ( pl @ x @ n_1 ) @ X0 ) )
& ( y
!= ( pl @ x @ n_1 ) ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f14,plain,
~ ( ! [X0: nat] :
( y
!= ( pl @ ( pl @ x @ n_1 ) @ X0 ) )
=> ( y
= ( pl @ x @ n_1 ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,negated_conjecture,
~ ( ~ ~ ! [X0: nat] :
( y
!= ( pl @ ( pl @ x @ n_1 ) @ X0 ) )
=> ( y
= ( pl @ x @ n_1 ) ) ),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
( ~ ~ ! [X0: nat] :
( y
!= ( pl @ ( pl @ x @ n_1 ) @ X0 ) )
=> ( y
= ( pl @ x @ n_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25) ).
thf(f37,plain,
( ( pl @ x @ n_1 )
!= ( pl @ x @ sK0 ) ),
inference(definition_unfolding,[],[f33,f29]) ).
thf(f33,plain,
( y
!= ( pl @ x @ n_1 ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM696^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.11 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 20 06:16:37 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a TH0_THM_EQU_NAR problem
% 0.11/0.31 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
% 0.17/0.32 % (21031)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.32 % (21031)Instruction limit reached!
% 0.17/0.32 % (21031)------------------------------
% 0.17/0.32 % (21031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.32 % (21031)Termination reason: Unknown
% 0.17/0.32 % (21031)Termination phase: Saturation
% 0.17/0.32
% 0.17/0.32 % (21031)Memory used [KB]: 5373
% 0.17/0.32 % (21031)Time elapsed: 0.002 s
% 0.17/0.32 % (21031)Instructions burned: 2 (million)
% 0.17/0.32 % (21031)------------------------------
% 0.17/0.32 % (21031)------------------------------
% 0.17/0.32 % (21029)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)
% 0.17/0.32 % (21032)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)
% 0.17/0.32 % (21033)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)
% 0.17/0.32 % (21029)Instruction limit reached!
% 0.17/0.32 % (21029)------------------------------
% 0.17/0.32 % (21029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.32 % (21029)Termination reason: Unknown
% 0.17/0.32 % (21029)Termination phase: Saturation
% 0.17/0.32
% 0.17/0.32 % (21029)Memory used [KB]: 5500
% 0.17/0.32 % (21029)Time elapsed: 0.003 s
% 0.17/0.32 % (21029)Instructions burned: 4 (million)
% 0.17/0.32 % (21029)------------------------------
% 0.17/0.32 % (21029)------------------------------
% 0.17/0.32 % (21032)Instruction limit reached!
% 0.17/0.32 % (21032)------------------------------
% 0.17/0.32 % (21032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.32 % (21032)Termination reason: Unknown
% 0.17/0.32 % (21032)Termination phase: Property scanning
% 0.17/0.32
% 0.17/0.32 % (21032)Memory used [KB]: 895
% 0.17/0.32 % (21032)Time elapsed: 0.002 s
% 0.17/0.32 % (21032)Instructions burned: 2 (million)
% 0.17/0.32 % (21032)------------------------------
% 0.17/0.32 % (21032)------------------------------
% 0.17/0.33 % (21034)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.17/0.33 % (21028)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.17/0.33 % (21030)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)
% 0.17/0.33 % (21033)Refutation not found, incomplete strategy
% 0.17/0.33 % (21033)------------------------------
% 0.17/0.33 % (21033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (21033)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.33
% 0.17/0.33
% 0.17/0.33 % (21033)Memory used [KB]: 5500
% 0.17/0.33 % (21033)Time elapsed: 0.004 s
% 0.17/0.33 % (21033)Instructions burned: 5 (million)
% 0.17/0.33 % (21033)------------------------------
% 0.17/0.33 % (21033)------------------------------
% 0.17/0.33 % (21035)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)
% 0.17/0.33 % (21035)Instruction limit reached!
% 0.17/0.33 % (21035)------------------------------
% 0.17/0.33 % (21035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (21035)Termination reason: Unknown
% 0.17/0.33 % (21035)Termination phase: Saturation
% 0.17/0.33
% 0.17/0.33 % (21035)Memory used [KB]: 5500
% 0.17/0.33 % (21035)Time elapsed: 0.002 s
% 0.17/0.33 % (21035)Instructions burned: 3 (million)
% 0.17/0.33 % (21035)------------------------------
% 0.17/0.33 % (21035)------------------------------
% 0.17/0.33 % (21037)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 theBenchmark for (2999ds/15Mi)
% 0.17/0.33 % (21028)First to succeed.
% 0.17/0.33 % (21034)Instruction limit reached!
% 0.17/0.33 % (21034)------------------------------
% 0.17/0.33 % (21034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (21034)Termination reason: Unknown
% 0.17/0.33 % (21034)Termination phase: Saturation
% 0.17/0.33
% 0.17/0.33 % (21034)Memory used [KB]: 5500
% 0.17/0.33 % (21034)Time elapsed: 0.011 s
% 0.17/0.33 % (21034)Instructions burned: 18 (million)
% 0.17/0.34 % (21034)------------------------------
% 0.17/0.34 % (21034)------------------------------
% 0.17/0.34 % (21038)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.34 % (21028)Refutation found. Thanks to Tanya!
% 0.17/0.34 % SZS status Theorem for theBenchmark
% 0.17/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34 % (21028)------------------------------
% 0.17/0.34 % (21028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (21028)Termination reason: Refutation
% 0.17/0.34
% 0.17/0.34 % (21028)Memory used [KB]: 5628
% 0.17/0.34 % (21028)Time elapsed: 0.012 s
% 0.17/0.34 % (21028)Instructions burned: 16 (million)
% 0.17/0.34 % (21028)------------------------------
% 0.17/0.34 % (21028)------------------------------
% 0.17/0.34 % (21027)Success in time 0.031 s
% 0.17/0.34 % Vampire---4.8 exiting
%------------------------------------------------------------------------------