TSTP Solution File: SEV055^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV055^5 : 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 : n016.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 04:11:51 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 231 ( 96 equ; 0 cnn)
% Maximal formula atoms : 22 ( 12 avg)
% Number of connectives : 462 ( 47 ~; 35 |; 46 &; 303 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 146 ( 5 ^ 116 !; 24 ?; 146 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > $o ).
thf(func_def_5,type,
sK1: ( a > $o ) > a ).
thf(func_def_6,type,
sK2: a > a ).
thf(func_def_7,type,
sK3: a > ( a > $o ) > a ).
thf(func_def_10,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f38,plain,
$false,
inference(trivial_inequality_removal,[],[f35]) ).
thf(f35,plain,
$true != $true,
inference(superposition,[],[f18,f34]) ).
thf(f34,plain,
! [X7: a] :
( ( sK0
@ ( sK1
@ ^ [Y0: a] : $false )
@ X7 )
= $true ),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f33,plain,
! [X7: a] :
( ( ( sK0
@ ( sK1
@ ^ [Y0: a] : $false )
@ X7 )
= $true )
| ( $false = $true ) ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X7: a] :
( ( ( ^ [Y0: a] : $false
@ ( sK3 @ X7
@ ^ [Y0: a] : $false ) )
= $true )
| ( ( sK0
@ ( sK1
@ ^ [Y0: a] : $false )
@ X7 )
= $true ) ),
inference(primitive_instantiation,[],[f16]) ).
thf(f16,plain,
! [X6: a > $o,X7: a] :
( ( ( X6 @ ( sK3 @ X7 @ X6 ) )
= $true )
| ( ( sK0 @ ( sK1 @ X6 ) @ X7 )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ! [X3: a] :
( ( sK0 @ X3 @ ( sK2 @ X3 ) )
!= $true )
& ! [X4: a,X5: a] :
( ( ( sK0 @ ( sK2 @ X5 ) @ ( sK2 @ X4 ) )
= $true )
| ( ( sK0 @ X5 @ X4 )
!= $true ) )
& ! [X6: a > $o] :
( ! [X7: a] :
( ( ( ( X6 @ ( sK3 @ X7 @ X6 ) )
= $true )
& ( ( sK0 @ ( sK3 @ X7 @ X6 ) @ X7 )
!= $true ) )
| ( ( sK0 @ ( sK1 @ X6 ) @ X7 )
= $true ) )
& ! [X9: a] :
( ( ( sK0 @ X9 @ ( sK1 @ X6 ) )
= $true )
| ( ( X6 @ X9 )
!= $true ) ) )
& ! [X10: a,X11: a,X12: a] :
( ( ( sK0 @ X10 @ X11 )
= $true )
| ( ( sK0 @ X10 @ X12 )
!= $true )
| ( ( sK0 @ X12 @ X11 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > a > $o,X1: ( a > $o ) > a] :
( ? [X2: a > a] :
( ! [X3: a] :
( $true
!= ( X0 @ X3 @ ( X2 @ X3 ) ) )
& ! [X4: a,X5: a] :
( ( ( X0 @ ( X2 @ X5 ) @ ( X2 @ X4 ) )
= $true )
| ( ( X0 @ X5 @ X4 )
!= $true ) ) )
& ! [X6: a > $o] :
( ! [X7: a] :
( ? [X8: a] :
( ( ( X6 @ X8 )
= $true )
& ( ( X0 @ X8 @ X7 )
!= $true ) )
| ( ( X0 @ ( X1 @ X6 ) @ X7 )
= $true ) )
& ! [X9: a] :
( ( ( X0 @ X9 @ ( X1 @ X6 ) )
= $true )
| ( ( X6 @ X9 )
!= $true ) ) )
& ! [X10: a,X11: a,X12: a] :
( ( ( X0 @ X10 @ X11 )
= $true )
| ( ( X0 @ X10 @ X12 )
!= $true )
| ( ( X0 @ X12 @ X11 )
!= $true ) ) )
=> ( ? [X2: a > a] :
( ! [X3: a] :
( ( sK0 @ X3 @ ( X2 @ X3 ) )
!= $true )
& ! [X5: a,X4: a] :
( ( ( sK0 @ ( X2 @ X5 ) @ ( X2 @ X4 ) )
= $true )
| ( ( sK0 @ X5 @ X4 )
!= $true ) ) )
& ! [X6: a > $o] :
( ! [X7: a] :
( ? [X8: a] :
( ( ( X6 @ X8 )
= $true )
& ( ( sK0 @ X8 @ X7 )
!= $true ) )
| ( ( sK0 @ ( sK1 @ X6 ) @ X7 )
= $true ) )
& ! [X9: a] :
( ( ( sK0 @ X9 @ ( sK1 @ X6 ) )
= $true )
| ( ( X6 @ X9 )
!= $true ) ) )
& ! [X12: a,X11: a,X10: a] :
( ( ( sK0 @ X10 @ X11 )
= $true )
| ( ( sK0 @ X10 @ X12 )
!= $true )
| ( ( sK0 @ X12 @ X11 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X2: a > a] :
( ! [X3: a] :
( ( sK0 @ X3 @ ( X2 @ X3 ) )
!= $true )
& ! [X5: a,X4: a] :
( ( ( sK0 @ ( X2 @ X5 ) @ ( X2 @ X4 ) )
= $true )
| ( ( sK0 @ X5 @ X4 )
!= $true ) ) )
=> ( ! [X3: a] :
( ( sK0 @ X3 @ ( sK2 @ X3 ) )
!= $true )
& ! [X5: a,X4: a] :
( ( ( sK0 @ ( sK2 @ X5 ) @ ( sK2 @ X4 ) )
= $true )
| ( ( sK0 @ X5 @ X4 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X6: a > $o,X7: a] :
( ? [X8: a] :
( ( ( X6 @ X8 )
= $true )
& ( ( sK0 @ X8 @ X7 )
!= $true ) )
=> ( ( ( X6 @ ( sK3 @ X7 @ X6 ) )
= $true )
& ( ( sK0 @ ( sK3 @ X7 @ X6 ) @ X7 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > $o,X1: ( a > $o ) > a] :
( ? [X2: a > a] :
( ! [X3: a] :
( $true
!= ( X0 @ X3 @ ( X2 @ X3 ) ) )
& ! [X4: a,X5: a] :
( ( ( X0 @ ( X2 @ X5 ) @ ( X2 @ X4 ) )
= $true )
| ( ( X0 @ X5 @ X4 )
!= $true ) ) )
& ! [X6: a > $o] :
( ! [X7: a] :
( ? [X8: a] :
( ( ( X6 @ X8 )
= $true )
& ( ( X0 @ X8 @ X7 )
!= $true ) )
| ( ( X0 @ ( X1 @ X6 ) @ X7 )
= $true ) )
& ! [X9: a] :
( ( ( X0 @ X9 @ ( X1 @ X6 ) )
= $true )
| ( ( X6 @ X9 )
!= $true ) ) )
& ! [X10: a,X11: a,X12: a] :
( ( ( X0 @ X10 @ X11 )
= $true )
| ( ( X0 @ X10 @ X12 )
!= $true )
| ( ( X0 @ X12 @ X11 )
!= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o,X1: ( a > $o ) > a] :
( ? [X9: a > a] :
( ! [X12: a] :
( ( X0 @ X12 @ ( X9 @ X12 ) )
!= $true )
& ! [X11: a,X10: a] :
( ( ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) )
= $true )
| ( ( X0 @ X10 @ X11 )
!= $true ) ) )
& ! [X2: a > $o] :
( ! [X3: a] :
( ? [X4: a] :
( ( ( X2 @ X4 )
= $true )
& ( ( X0 @ X4 @ X3 )
!= $true ) )
| ( ( X0 @ ( X1 @ X2 ) @ X3 )
= $true ) )
& ! [X5: a] :
( ( ( X0 @ X5 @ ( X1 @ X2 ) )
= $true )
| ( ( X2 @ X5 )
!= $true ) ) )
& ! [X7: a,X6: a,X8: a] :
( ( ( X0 @ X7 @ X6 )
= $true )
| ( ( X0 @ X7 @ X8 )
!= $true )
| ( ( X0 @ X8 @ X6 )
!= $true ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X1: ( a > $o ) > a,X0: a > a > $o] :
( ? [X9: a > a] :
( ! [X12: a] :
( ( X0 @ X12 @ ( X9 @ X12 ) )
!= $true )
& ! [X11: a,X10: a] :
( ( ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) )
= $true )
| ( ( X0 @ X10 @ X11 )
!= $true ) ) )
& ! [X8: a,X7: a,X6: a] :
( ( ( X0 @ X7 @ X6 )
= $true )
| ( ( X0 @ X8 @ X6 )
!= $true )
| ( ( X0 @ X7 @ X8 )
!= $true ) )
& ! [X2: a > $o] :
( ! [X3: a] :
( ? [X4: a] :
( ( ( X2 @ X4 )
= $true )
& ( ( X0 @ X4 @ X3 )
!= $true ) )
| ( ( X0 @ ( X1 @ X2 ) @ X3 )
= $true ) )
& ! [X5: a] :
( ( ( X0 @ X5 @ ( X1 @ X2 ) )
= $true )
| ( ( X2 @ X5 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ( ! [X8: a,X7: a,X6: a] :
( ( ( ( X0 @ X8 @ X6 )
= $true )
& ( ( X0 @ X7 @ X8 )
= $true ) )
=> ( ( X0 @ X7 @ X6 )
= $true ) )
& ! [X2: a > $o] :
( ! [X3: a] :
( ! [X4: a] :
( ( ( X2 @ X4 )
= $true )
=> ( ( X0 @ X4 @ X3 )
= $true ) )
=> ( ( X0 @ ( X1 @ X2 ) @ X3 )
= $true ) )
& ! [X5: a] :
( ( ( X2 @ X5 )
= $true )
=> ( ( X0 @ X5 @ ( X1 @ X2 ) )
= $true ) ) ) )
=> ! [X9: a > a] :
( ! [X11: a,X10: a] :
( ( ( X0 @ X10 @ X11 )
= $true )
=> ( ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) )
= $true ) )
=> ? [X12: a] :
( ( X0 @ X12 @ ( X9 @ X12 ) )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o,X1: ( a > $o ) > a] :
( ( ! [X2: a > $o] :
( ! [X3: a] :
( ! [X4: a] :
( ( X2 @ X4 )
=> ( X0 @ X4 @ X3 ) )
=> ( X0 @ ( X1 @ X2 ) @ X3 ) )
& ! [X5: a] :
( ( X2 @ X5 )
=> ( X0 @ X5 @ ( X1 @ X2 ) ) ) )
& ! [X6: a,X7: a,X8: a] :
( ( ( X0 @ X8 @ X6 )
& ( X0 @ X7 @ X8 ) )
=> ( X0 @ X7 @ X6 ) ) )
=> ! [X9: a > a] :
( ! [X10: a,X11: a] :
( ( X0 @ X10 @ X11 )
=> ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) ) )
=> ? [X12: a] : ( X0 @ X12 @ ( X9 @ X12 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o,X1: ( a > $o ) > a] :
( ( ! [X5: a > $o] :
( ! [X6: a] :
( ! [X7: a] :
( ( X5 @ X7 )
=> ( X0 @ X7 @ X6 ) )
=> ( X0 @ ( X1 @ X5 ) @ X6 ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) ) )
& ! [X4: a,X2: a,X3: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X4 ) ) )
=> ! [X8: a > a] :
( ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) )
=> ? [X9: a] : ( X0 @ X9 @ ( X8 @ X9 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o,X1: ( a > $o ) > a] :
( ( ! [X5: a > $o] :
( ! [X6: a] :
( ! [X7: a] :
( ( X5 @ X7 )
=> ( X0 @ X7 @ X6 ) )
=> ( X0 @ ( X1 @ X5 ) @ X6 ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) ) )
& ! [X4: a,X2: a,X3: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X4 ) ) )
=> ! [X8: a > a] :
( ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) )
=> ? [X9: a] : ( X0 @ X9 @ ( X8 @ X9 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM402_pme) ).
thf(f18,plain,
! [X3: a] :
( ( sK0 @ X3 @ ( sK2 @ X3 ) )
!= $true ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV055^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 19:23:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % (23173)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (23171)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)
% 0.13/0.37 % (23170)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (23172)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)
% 0.13/0.37 % (23175)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)
% 0.13/0.37 % (23176)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (23173)Instruction limit reached!
% 0.13/0.37 % (23173)------------------------------
% 0.13/0.37 % (23173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (23173)Termination reason: Unknown
% 0.13/0.37 % (23173)Termination phase: Preprocessing 3
% 0.13/0.37
% 0.13/0.37 % (23173)Memory used [KB]: 895
% 0.13/0.37 % (23173)Time elapsed: 0.003 s
% 0.13/0.37 % (23173)Instructions burned: 2 (million)
% 0.13/0.37 % (23173)------------------------------
% 0.13/0.37 % (23173)------------------------------
% 0.13/0.37 % (23171)Instruction limit reached!
% 0.13/0.37 % (23171)------------------------------
% 0.13/0.37 % (23171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (23171)Termination reason: Unknown
% 0.13/0.37 % (23174)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)
% 0.13/0.37 % (23171)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (23171)Memory used [KB]: 5500
% 0.13/0.37 % (23171)Time elapsed: 0.005 s
% 0.13/0.37 % (23171)Instructions burned: 4 (million)
% 0.13/0.37 % (23171)------------------------------
% 0.13/0.37 % (23171)------------------------------
% 0.13/0.37 % (23174)Instruction limit reached!
% 0.13/0.37 % (23174)------------------------------
% 0.13/0.37 % (23174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (23174)Termination reason: Unknown
% 0.13/0.37 % (23174)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (23174)Memory used [KB]: 1023
% 0.13/0.37 % (23174)Time elapsed: 0.003 s
% 0.13/0.37 % (23174)Instructions burned: 3 (million)
% 0.13/0.37 % (23174)------------------------------
% 0.13/0.37 % (23174)------------------------------
% 0.13/0.37 % (23175)First to succeed.
% 0.13/0.38 % (23175)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (23175)------------------------------
% 0.22/0.38 % (23175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (23175)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (23175)Memory used [KB]: 5500
% 0.22/0.38 % (23175)Time elapsed: 0.008 s
% 0.22/0.38 % (23175)Instructions burned: 6 (million)
% 0.22/0.38 % (23175)------------------------------
% 0.22/0.38 % (23175)------------------------------
% 0.22/0.38 % (23169)Success in time 0.008 s
% 0.22/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------