TSTP Solution File: SEV485^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV485^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 09:45:17 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 37 ( 15 unt; 18 typ; 0 def)
% Number of atoms : 138 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 7 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 2 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 35 ( 34 >; 1 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 3 con; 0-6 aty)
% Number of variables : 29 ( 0 ^ 19 !; 0 ?; 29 :)
% ( 10 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(func_def_0,type,
'type/nums/num': $tType ).
thf(func_def_1,type,
'const/sets/UNIV':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_2,type,
'const/sets/HAS_SIZE':
!>[X0: $tType] : ( ( X0 > $o ) > 'type/nums/num' > $o ) ).
thf(func_def_3,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
'const/sets/CARD':
!>[X0: $tType] : ( ( X0 > $o ) > 'type/nums/num' ) ).
thf(func_def_5,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_6,type,
'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_7,type,
'const/nums/BIT0': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_8,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_14,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_15,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_16,type,
vOR: $o > $o > $o ).
thf(func_def_17,type,
vIMP: $o > $o > $o ).
thf(func_def_18,type,
vNOT: $o > $o ).
thf(f73,plain,
$false,
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
$true = $false,
inference(superposition,[],[f60,f16]) ).
thf(f16,plain,
vAPP('type/nums/num',$o,vAPP(sTfun($o,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'($o),'const/sets/UNIV'($o)),vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL',vAPP('type/nums/num','type/nums/num','const/nums/BIT0',vAPP('type/nums/num','type/nums/num','const/nums/BIT1','const/nums/_0')))) = $true,
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
vAPP('type/nums/num',$o,vAPP(sTfun($o,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'($o),'const/sets/UNIV'($o)),vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL',vAPP('type/nums/num','type/nums/num','const/nums/BIT0',vAPP('type/nums/num','type/nums/num','const/nums/BIT1','const/nums/_0')))) = $true,
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
vAPP('type/nums/num',$o,vAPP(sTfun($o,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'($o),'const/sets/UNIV'($o)),vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL',vAPP('type/nums/num','type/nums/num','const/nums/BIT0',vAPP('type/nums/num','type/nums/num','const/nums/BIT1','const/nums/_0')))),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP('type/nums/num',$o,vAPP(sTfun($o,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'($o),'const/sets/UNIV'($o)),vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL',vAPP('type/nums/num','type/nums/num','const/nums/BIT0',vAPP('type/nums/num','type/nums/num','const/nums/BIT1','const/nums/_0')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/HAS_SIZE_BOOL_') ).
thf(f60,plain,
! [X0: 'type/nums/num'] : ( $false = vAPP('type/nums/num',$o,vAPP(sTfun($o,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'($o),'const/sets/UNIV'($o)),X0) ),
inference(unit_resulting_resolution,[],[f14,f20]) ).
thf(f20,plain,
! [X0: $tType,X2: 'type/nums/num',X1: X0 > $o] :
( ( vAPP('type/nums/num',$o,vAPP(sTfun(X0,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'(X0),X1),X2) = $false )
| ( vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X1) = $true ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
! [X0: $tType,X2: 'type/nums/num',X1: X0 > $o] :
( ( vAPP('type/nums/num',$o,vAPP(sTfun(X0,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'(X0),X1),X2) = $false )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X1)),vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),vEQ('type/nums/num'),vAPP(sTfun(X0,$o),'type/nums/num','const/sets/CARD'(X0),X1)),X2)) ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
! [X0: $tType,X2: 'type/nums/num',X1: X0 > $o] : ( vAPP('type/nums/num',$o,vAPP(sTfun(X0,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'(X0),X1),X2) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X1)),vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),vEQ('type/nums/num'),vAPP(sTfun(X0,$o),'type/nums/num','const/sets/CARD'(X0),X1)),X2)) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: $tType,X1: X0 > $o,X2: 'type/nums/num'] : ( vAPP('type/nums/num',$o,vAPP(sTfun(X0,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'(X0),X1),X2) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X1)),vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),vEQ('type/nums/num'),vAPP(sTfun(X0,$o),'type/nums/num','const/sets/CARD'(X0),X1)),X2)) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: $tType,X1: X0 > $o,X2: 'type/nums/num'] :
( ( vAPP('type/nums/num',$o,vAPP(sTfun(X0,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'(X0),X1),X2)
= ( vAPP(sTfun(X0,$o),'type/nums/num','const/sets/CARD'(X0),X1) = X2 ) )
& vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X1) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > $o,X2: 'type/nums/num'] :
( ( vAPP('type/nums/num',$o,vAPP(sTfun(X0,$o),sTfun('type/nums/num',$o),'const/sets/HAS_SIZE'(X0),X1),X2)
= ( vAPP(sTfun(X0,$o),'type/nums/num','const/sets/CARD'(X0),X1) = X2 ) )
& vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/HAS_SIZE_') ).
thf(f14,plain,
vAPP(sTfun($o,$o),$o,'const/sets/FINITE'($o),'const/sets/UNIV'($o)) != $true,
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
vAPP(sTfun($o,$o),$o,'const/sets/FINITE'($o),'const/sets/UNIV'($o)) != $true,
inference(flattening,[],[f8]) ).
thf(f8,plain,
vAPP(sTfun($o,$o),$o,'const/sets/FINITE'($o),'const/sets/UNIV'($o)) != $true,
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ vAPP(sTfun($o,$o),$o,'const/sets/FINITE'($o),'const/sets/UNIV'($o)),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ vAPP(sTfun($o,$o),$o,'const/sets/FINITE'($o),'const/sets/UNIV'($o)),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
vAPP(sTfun($o,$o),$o,'const/sets/FINITE'($o),'const/sets/UNIV'($o)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/FINITE_BOOL_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV485^1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 11:55:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (12093)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (12097)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (12096)WARNING: value z3 for option sas not known
% 0.13/0.37 % (12094)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (12095)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (12096)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (12098)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (12099)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (12100)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (12100)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (12101)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.37 % (12101)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (12099)Also succeeded, but the first one will report.
% 0.13/0.37 % (12100)First to succeed.
% 0.13/0.37 % (12098)Also succeeded, but the first one will report.
% 0.21/0.37 % (12096)Also succeeded, but the first one will report.
% 0.21/0.37 % (12100)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12093"
% 0.21/0.37 % (12100)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (12100)------------------------------
% 0.21/0.37 % (12100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (12100)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (12100)Memory used [KB]: 767
% 0.21/0.37 % (12100)Time elapsed: 0.005 s
% 0.21/0.37 % (12100)Instructions burned: 6 (million)
% 0.21/0.37 % (12093)Success in time 0.018 s
%------------------------------------------------------------------------------