TSTP Solution File: SYO559^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO559^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 09:13:39 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 57 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 336 ( 58 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 80 ( 30 ~; 35 |; 1 &; 0 @)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 46 ( 45 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 47 ( 0 ^ 35 !; 6 ?; 47 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
epso: ( $o > $o ) > $o ).
thf(func_def_2,type,
epsoo: ( ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_6,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_7,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_8,type,
vAND: $o > $o > $o ).
thf(func_def_9,type,
vOR: $o > $o > $o ).
thf(func_def_10,type,
vIMP: $o > $o > $o ).
thf(func_def_11,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f371,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f227,f257,f360,f370]) ).
thf(f370,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f369]) ).
thf(f369,plain,
( $false
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f361,plain,
( ( $true = $false )
| ~ spl0_10 ),
inference(backward_demodulation,[],[f16,f358]) ).
thf(f358,plain,
( ! [X0: $o] : ( $false = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f357,plain,
( spl0_10
<=> ! [X0: $o] : ( $false = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f16,plain,
$true = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$false),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( $true != vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true) )
& ( $true = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$false) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ( ( $true = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$false) )
=> ( $true = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ( vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$false)
=> vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true) ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ( vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$false)
=> vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
( vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$false)
=> vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
thf(f360,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f289,f357,f254]) ).
thf(f254,plain,
( spl0_9
<=> ( $true = vAPP(sTfun($o,$o),$o,epso,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f289,plain,
! [X0: $o] :
( ( $false = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),X0) )
| ( $true != vAPP(sTfun($o,$o),$o,epso,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso)) ) ),
inference(trivial_inequality_removal,[],[f281]) ).
thf(f281,plain,
! [X0: $o] :
( ( $true = $false )
| ( $false = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),X0) )
| ( $true != vAPP(sTfun($o,$o),$o,epso,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso)) ) ),
inference(constrained_superposition,[],[f51,f73]) ).
thf(f73,plain,
! [X0: $o > $o,X1: $o] :
( ( vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) = $true )
| ( vAPP($o,$o,X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
! [X0: $o > $o,X1: $o] :
( ( $true != $true )
| ( vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) = $true )
| ( vAPP($o,$o,X0,X1) = $false ) ),
inference(superposition,[],[f18,f6]) ).
thf(f6,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f18,plain,
! [X0: $o > $o,X1: $o] :
( ( vAPP($o,$o,X0,X1) != $true )
| ( vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) = $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: $o > $o] :
( ( vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) = $true )
| ! [X1: $o] : ( vAPP($o,$o,X0,X1) != $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: $o > $o] :
( ? [X1: $o] : ( vAPP($o,$o,X0,X1) = $true )
=> ( vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) = $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: $o > $o] :
( ? [X1: $o] : vAPP($o,$o,X0,X1)
=> vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $o > $o] :
( ? [X1: $o] : vAPP($o,$o,X0,X1)
=> vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,epso,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceaxo) ).
thf(f51,plain,
$false = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f50,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true) ) ),
inference(superposition,[],[f17,f6]) ).
thf(f17,plain,
$true != vAPP($o,$o,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso),$true),
inference(cnf_transformation,[],[f13]) ).
thf(f257,plain,
( spl0_2
| spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f250,f102,f254,f105]) ).
thf(f105,plain,
( spl0_2
<=> ! [X1: $o] : ( $false = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f102,plain,
( spl0_1
<=> ! [X0: $o] :
( ( $true = vAPP(sTfun($o,$o),$o,epso,vAPP($o,sTfun($o,$o),vAND,X0)) )
| ( $false = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f250,plain,
( ! [X0: $o] :
( ( $true = vAPP(sTfun($o,$o),$o,epso,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso)) )
| ( $false = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f249]) ).
thf(f249,plain,
( ! [X0: $o] :
( ( $true != $true )
| ( $true = vAPP(sTfun($o,$o),$o,epso,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,epso)) )
| ( $false = X0 ) )
| ~ spl0_1 ),
inference(superposition,[],[f19,f103]) ).
thf(f103,plain,
( ! [X0: $o] :
( ( $true = vAPP(sTfun($o,$o),$o,epso,vAPP($o,sTfun($o,$o),vAND,X0)) )
| ( $false = X0 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f19,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ( vAPP(sTfun($o,$o),$o,X0,X1) != $true )
| ( vAPP(sTfun($o,$o),$o,X0,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,X0)) = $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: ( $o > $o ) > $o] :
( ( vAPP(sTfun($o,$o),$o,X0,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,X0)) = $true )
| ! [X1: $o > $o] : ( vAPP(sTfun($o,$o),$o,X0,X1) != $true ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] : ( vAPP(sTfun($o,$o),$o,X0,X1) = $true )
=> ( vAPP(sTfun($o,$o),$o,X0,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,X0)) = $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] : vAPP(sTfun($o,$o),$o,X0,X1)
=> vAPP(sTfun($o,$o),$o,X0,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,X0)) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] : vAPP(sTfun($o,$o),$o,X0,X1)
=> vAPP(sTfun($o,$o),$o,X0,vAPP(sTfun(sTfun($o,$o),$o),sTfun($o,$o),epsoo,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceaxoo) ).
thf(f227,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f221,f105,f102]) ).
thf(f221,plain,
! [X0: $o,X1: $o] :
( ( $false = X1 )
| ( $true = vAPP(sTfun($o,$o),$o,epso,vAPP($o,sTfun($o,$o),vAND,X0)) )
| ( $false = X0 ) ),
inference(binary_proxy_clausification,[],[f220]) ).
thf(f220,plain,
! [X0: $o,X1: $o] :
( ( $false = X1 )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),vAPP(sTfun($o,$o),$o,epso,vAPP($o,sTfun($o,$o),vAND,X0))) )
| ( $false = X0 ) ),
inference(binary_proxy_clausification,[],[f188]) ).
thf(f188,plain,
! [X0: $o,X1: $o] :
( ( $true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),X1) )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),vAPP(sTfun($o,$o),$o,epso,vAPP($o,sTfun($o,$o),vAND,X0))) ) ),
inference(primitive_instantiation,[],[f18]) ).
thf(f146,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f145]) ).
thf(f145,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f144,plain,
( ( $false != $false )
| ~ spl0_2 ),
inference(superposition,[],[f5,f106]) ).
thf(f106,plain,
( ! [X1: $o] : ( $false = X1 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f5,plain,
$true != $false,
introduced(fool_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SYO559^1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon May 20 09:26:52 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % (8240)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.31 % (8242)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.32 % (8241)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.32 % (8246)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.32 % Exception at run slice level
% 0.16/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.32 % (8247)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.32 % Exception at run slice level
% 0.16/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.32 % (8243)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.32 % (8243)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.32 % (8245)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.32 % (8246)First to succeed.
% 0.16/0.32 % Exception at run slice level
% 0.16/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.32 % (8246)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8240"
% 0.16/0.33 % (8246)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (8246)------------------------------
% 0.16/0.33 % (8246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (8246)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (8246)Memory used [KB]: 889
% 0.16/0.33 % (8246)Time elapsed: 0.009 s
% 0.16/0.33 % (8246)Instructions burned: 15 (million)
% 0.16/0.33 % (8240)Success in time 0.021 s
%------------------------------------------------------------------------------