TSTP Solution File: SEV097^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV097^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 Jun 24 16:01:47 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 346 ( 101 equ; 0 cnn)
% Maximal formula atoms : 14 ( 21 avg)
% Number of connectives : 468 ( 51 ~; 37 |; 63 &; 289 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 143 ( 0 ^ 119 !; 24 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
z: a ).
thf(func_def_3,type,
cR: a > a > $o ).
thf(func_def_4,type,
f: a > b > $o ).
thf(func_def_5,type,
cS: b > b > $o ).
thf(func_def_9,type,
sK0: a ).
thf(func_def_10,type,
sK1: b > a ).
thf(func_def_11,type,
sK2: a > b ).
thf(f30,plain,
$false,
inference(trivial_inequality_removal,[],[f29]) ).
thf(f29,plain,
$true != $true,
inference(superposition,[],[f18,f15]) ).
thf(f15,plain,
! [X10: a] :
( ( f @ X10 @ ( sK2 @ X10 ) )
= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ! [X0: a,X1: b,X2: b] :
( ( ( cS @ X1 @ X2 )
= $true )
| ( $true
!= ( f @ X0 @ X1 ) )
| ( ( f @ X0 @ X2 )
!= $true ) )
& ! [X4: b] :
( ( ( ( cR @ sK0 @ z )
!= $true )
| ( ( f @ ( sK1 @ X4 ) @ X4 )
= $true ) )
& ( ( f @ sK0 @ X4 )
!= $true ) )
& ! [X6: b,X7: a,X8: a] :
( ( ( cR @ X7 @ X8 )
= $true )
| ( ( f @ X8 @ X6 )
!= $true )
| ( ( f @ X7 @ X6 )
!= $true ) )
& ! [X9: a] :
( ( cR @ X9 @ X9 )
= $true )
& ! [X10: a] :
( ( f @ X10 @ ( sK2 @ X10 ) )
= $true )
& ! [X12: a,X13: a,X14: a] :
( ( ( cR @ X12 @ X14 )
!= $true )
| ( $true
!= ( cR @ X13 @ X14 ) )
| ( ( cR @ X12 @ X13 )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f12,f11,f10]) ).
thf(f10,plain,
( ? [X3: a] :
! [X4: b] :
? [X5: a] :
( ( ( ( cR @ X3 @ z )
!= $true )
| ( ( f @ X5 @ X4 )
= $true ) )
& ( ( f @ X3 @ X4 )
!= $true ) )
=> ! [X4: b] :
? [X5: a] :
( ( ( ( cR @ sK0 @ z )
!= $true )
| ( ( f @ X5 @ X4 )
= $true ) )
& ( ( f @ sK0 @ X4 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X4: b] :
( ? [X5: a] :
( ( ( ( cR @ sK0 @ z )
!= $true )
| ( ( f @ X5 @ X4 )
= $true ) )
& ( ( f @ sK0 @ X4 )
!= $true ) )
=> ( ( ( ( cR @ sK0 @ z )
!= $true )
| ( ( f @ ( sK1 @ X4 ) @ X4 )
= $true ) )
& ( ( f @ sK0 @ X4 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X10: a] :
( ? [X11: b] :
( ( f @ X10 @ X11 )
= $true )
=> ( ( f @ X10 @ ( sK2 @ X10 ) )
= $true ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ! [X0: a,X1: b,X2: b] :
( ( ( cS @ X1 @ X2 )
= $true )
| ( $true
!= ( f @ X0 @ X1 ) )
| ( ( f @ X0 @ X2 )
!= $true ) )
& ? [X3: a] :
! [X4: b] :
? [X5: a] :
( ( ( ( cR @ X3 @ z )
!= $true )
| ( ( f @ X5 @ X4 )
= $true ) )
& ( ( f @ X3 @ X4 )
!= $true ) )
& ! [X6: b,X7: a,X8: a] :
( ( ( cR @ X7 @ X8 )
= $true )
| ( ( f @ X8 @ X6 )
!= $true )
| ( ( f @ X7 @ X6 )
!= $true ) )
& ! [X9: a] :
( ( cR @ X9 @ X9 )
= $true )
& ! [X10: a] :
? [X11: b] :
( ( f @ X10 @ X11 )
= $true )
& ! [X12: a,X13: a,X14: a] :
( ( ( cR @ X12 @ X14 )
!= $true )
| ( $true
!= ( cR @ X13 @ X14 ) )
| ( ( cR @ X12 @ X13 )
= $true ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
( ! [X6: a,X4: b,X5: b] :
( ( $true
= ( cS @ X4 @ X5 ) )
| ( ( f @ X6 @ X4 )
!= $true )
| ( $true
!= ( f @ X6 @ X5 ) ) )
& ? [X12: a] :
! [X13: b] :
? [X14: a] :
( ( ( ( cR @ X12 @ z )
!= $true )
| ( ( f @ X14 @ X13 )
= $true ) )
& ( ( f @ X12 @ X13 )
!= $true ) )
& ! [X9: b,X11: a,X10: a] :
( ( ( cR @ X11 @ X10 )
= $true )
| ( ( f @ X10 @ X9 )
!= $true )
| ( ( f @ X11 @ X9 )
!= $true ) )
& ! [X3: a] :
( ( cR @ X3 @ X3 )
= $true )
& ! [X7: a] :
? [X8: b] :
( ( f @ X7 @ X8 )
= $true )
& ! [X1: a,X0: a,X2: a] :
( ( ( cR @ X1 @ X2 )
!= $true )
| ( ( cR @ X0 @ X2 )
!= $true )
| ( ( cR @ X1 @ X0 )
= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ? [X12: a] :
! [X13: b] :
? [X14: a] :
( ( ( ( cR @ X12 @ z )
!= $true )
| ( ( f @ X14 @ X13 )
= $true ) )
& ( ( f @ X12 @ X13 )
!= $true ) )
& ! [X5: b,X4: b,X6: a] :
( ( $true
= ( cS @ X4 @ X5 ) )
| ( $true
!= ( f @ X6 @ X5 ) )
| ( ( f @ X6 @ X4 )
!= $true ) )
& ! [X10: a,X9: b,X11: a] :
( ( ( cR @ X11 @ X10 )
= $true )
| ( ( f @ X11 @ X9 )
!= $true )
| ( ( f @ X10 @ X9 )
!= $true ) )
& ! [X7: a] :
? [X8: b] :
( ( f @ X7 @ X8 )
= $true )
& ! [X2: a,X0: a,X1: a] :
( ( ( cR @ X1 @ X0 )
= $true )
| ( ( cR @ X1 @ X2 )
!= $true )
| ( ( cR @ X0 @ X2 )
!= $true ) )
& ! [X3: a] :
( ( cR @ X3 @ X3 )
= $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ! [X2: a,X0: a,X1: a] :
( ( ( ( cR @ X1 @ X2 )
= $true )
& ( ( cR @ X0 @ X2 )
= $true ) )
=> ( ( cR @ X1 @ X0 )
= $true ) )
& ! [X3: a] :
( ( cR @ X3 @ X3 )
= $true ) )
=> ( ( ! [X5: b,X4: b,X6: a] :
( ( ( $true
= ( f @ X6 @ X5 ) )
& ( ( f @ X6 @ X4 )
= $true ) )
=> ( $true
= ( cS @ X4 @ X5 ) ) )
& ! [X10: a,X9: b,X11: a] :
( ( ( ( f @ X11 @ X9 )
= $true )
& ( ( f @ X10 @ X9 )
= $true ) )
=> ( ( cR @ X11 @ X10 )
= $true ) )
& ! [X7: a] :
? [X8: b] :
( ( f @ X7 @ X8 )
= $true ) )
=> ! [X12: a] :
? [X13: b] :
! [X14: a] :
( ( ( f @ X12 @ X13 )
= $true )
| ( ( ( cR @ X12 @ z )
= $true )
& ( ( f @ X14 @ X13 )
!= $true ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X2: a,X0: a,X1: a] :
( ( ( ( cR @ X1 @ X2 )
= $true )
& ( ( cR @ X0 @ X2 )
= $true ) )
=> ( ( cR @ X1 @ X0 )
= $true ) )
& ! [X3: a] :
( ( cR @ X3 @ X3 )
= $true ) )
=> ( ( ! [X5: b,X4: b,X6: a] :
( ( ( $true
= ( f @ X6 @ X5 ) )
& ( ( f @ X6 @ X4 )
= $true ) )
=> ( $true
= ( cS @ X4 @ X5 ) ) )
& ! [X10: a,X9: b,X11: a] :
( ( ( ( f @ X11 @ X9 )
= $true )
& ( ( f @ X10 @ X9 )
= $true ) )
=> ( ( cR @ X11 @ X10 )
= $true ) )
& ! [X7: a] :
? [X8: b] :
( ( f @ X7 @ X8 )
= $true ) )
=> ! [X12: a] :
? [X13: b] :
! [X14: a] :
( ( ( ( cR @ X12 @ z )
= $true )
& ( ( f @ X14 @ X13 )
!= $true ) )
| ( ( f @ X12 @ X13 )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: a,X1: a,X2: a] :
( ( ( cR @ X1 @ X2 )
& ( cR @ X0 @ X2 ) )
=> ( cR @ X1 @ X0 ) )
& ! [X3: a] : ( cR @ X3 @ X3 ) )
=> ( ( ! [X4: b,X5: b,X6: a] :
( ( ( f @ X6 @ X4 )
& ( f @ X6 @ X5 ) )
=> ( cS @ X4 @ X5 ) )
& ! [X7: a] :
? [X8: b] : ( f @ X7 @ X8 )
& ! [X9: b,X10: a,X11: a] :
( ( ( f @ X10 @ X9 )
& ( f @ X11 @ X9 ) )
=> ( cR @ X11 @ X10 ) ) )
=> ! [X12: a] :
? [X13: b] :
! [X14: a] :
( ( ( cR @ X12 @ z )
& ~ ( f @ X14 @ X13 ) )
| ( f @ X12 @ X13 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: a,X0: a,X1: a] :
( ( ( cR @ X0 @ X1 )
& ( cR @ X2 @ X1 ) )
=> ( cR @ X0 @ X2 ) )
& ! [X3: a] : ( cR @ X3 @ X3 ) )
=> ( ( ! [X5: b,X6: b,X3: a] :
( ( ( f @ X3 @ X5 )
& ( f @ X3 @ X6 ) )
=> ( cS @ X5 @ X6 ) )
& ! [X3: a] :
? [X4: b] : ( f @ X3 @ X4 )
& ! [X4: b,X8: a,X7: a] :
( ( ( f @ X8 @ X4 )
& ( f @ X7 @ X4 ) )
=> ( cR @ X7 @ X8 ) ) )
=> ! [X3: a] :
? [X4: b] :
! [X2: a] :
( ( ( cR @ X3 @ z )
& ~ ( f @ X2 @ X4 ) )
| ( f @ X3 @ X4 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X2: a,X0: a,X1: a] :
( ( ( cR @ X0 @ X1 )
& ( cR @ X2 @ X1 ) )
=> ( cR @ X0 @ X2 ) )
& ! [X3: a] : ( cR @ X3 @ X3 ) )
=> ( ( ! [X5: b,X6: b,X3: a] :
( ( ( f @ X3 @ X5 )
& ( f @ X3 @ X6 ) )
=> ( cS @ X5 @ X6 ) )
& ! [X3: a] :
? [X4: b] : ( f @ X3 @ X4 )
& ! [X4: b,X8: a,X7: a] :
( ( ( f @ X8 @ X4 )
& ( f @ X7 @ X4 ) )
=> ( cR @ X7 @ X8 ) ) )
=> ! [X3: a] :
? [X4: b] :
! [X2: a] :
( ( ( cR @ X3 @ z )
& ~ ( f @ X2 @ X4 ) )
| ( f @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM552C_pme) ).
thf(f18,plain,
! [X4: b] :
( ( f @ sK0 @ X4 )
!= $true ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV097^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.13 % Command : run_vampire %s %d THM
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Fri Jun 21 18:30:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.37 Running higher-order theorem proving
% 0.14/0.37 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.39 % (5301)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (5299)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)
% 0.22/0.39 % (5304)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39 % (5303)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)
% 0.22/0.39 % (5301)Instruction limit reached!
% 0.22/0.39 % (5301)------------------------------
% 0.22/0.39 % (5301)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (5301)Termination reason: Unknown
% 0.22/0.39 % (5301)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (5301)Memory used [KB]: 1023
% 0.22/0.39 % (5301)Time elapsed: 0.004 s
% 0.22/0.39 % (5301)Instructions burned: 2 (million)
% 0.22/0.39 % (5301)------------------------------
% 0.22/0.39 % (5301)------------------------------
% 0.22/0.39 % (5304)First to succeed.
% 0.22/0.40 % (5303)Also succeeded, but the first one will report.
% 0.22/0.40 % (5304)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (5304)------------------------------
% 0.22/0.40 % (5304)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (5304)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (5304)Memory used [KB]: 5500
% 0.22/0.40 % (5304)Time elapsed: 0.005 s
% 0.22/0.40 % (5304)Instructions burned: 3 (million)
% 0.22/0.40 % (5304)------------------------------
% 0.22/0.40 % (5304)------------------------------
% 0.22/0.40 % (5297)Success in time 0.009 s
%------------------------------------------------------------------------------