TSTP Solution File: NUM761^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM761^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 02:13:18 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 68 ( 15 unt; 17 typ; 0 def)
% Number of atoms : 460 ( 64 equ; 0 cnn)
% Maximal formula atoms : 3 ( 9 avg)
% Number of connectives : 100 ( 49 ~; 33 |; 0 &; 0 @)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 8 con; 0-6 aty)
% Number of variables : 55 ( 0 ^ 49 !; 0 ?; 55 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
frac: $tType ).
thf(func_def_1,type,
x: frac ).
thf(func_def_2,type,
y: frac ).
thf(func_def_3,type,
z: frac ).
thf(func_def_4,type,
u: frac ).
thf(func_def_5,type,
moref: frac > frac > $o ).
thf(func_def_6,type,
eq: frac > frac > $o ).
thf(func_def_8,type,
pf: frac > frac > frac ).
thf(func_def_12,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
vAND: $o > $o > $o ).
thf(func_def_15,type,
vOR: $o > $o > $o ).
thf(func_def_16,type,
vIMP: $o > $o > $o ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f85,f114]) ).
thf(f114,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f113]) ).
thf(f113,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f110,plain,
( ( $true != $true )
| ~ spl0_1 ),
inference(superposition,[],[f107,f36]) ).
thf(f36,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true,
inference(cnf_transformation,[],[f21]) ).
thf(f21,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true,
inference(fool_elimination,[],[f20]) ).
thf(f20,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
thf(f107,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f106,plain,
( ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f105,f69]) ).
thf(f69,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) = $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f67,plain,
( spl0_1
<=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f105,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true ) ),
inference(trivial_inequality_removal,[],[f102]) ).
thf(f102,plain,
( ( $true = $false )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true ) ),
inference(superposition,[],[f35,f76]) ).
thf(f76,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) = $false,
inference(trivial_inequality_removal,[],[f75]) ).
thf(f75,plain,
( ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) = $false ) ),
inference(superposition,[],[f31,f9]) ).
thf(f9,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f31,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true,
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true,
inference(flattening,[],[f11]) ).
thf(f11,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true,
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
inference(rectify,[],[f7]) ).
thf(f7,negated_conjecture,
~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz65a) ).
thf(f35,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f30,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) ) ),
inference(flattening,[],[f29]) ).
thf(f29,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) ) ),
inference(ennf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) )
=> ( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
=> ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) ) ) ),
inference(fool_elimination,[],[f18]) ).
thf(f18,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X2)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X3),X4)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz64) ).
thf(f85,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f84]) ).
thf(f84,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f81,plain,
( ( $true != $true )
| ~ spl0_2 ),
inference(superposition,[],[f80,f73]) ).
thf(f73,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f71,plain,
( spl0_2
<=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f80,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) != $true,
inference(trivial_inequality_removal,[],[f79]) ).
thf(f79,plain,
( ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) != $true ) ),
inference(forward_demodulation,[],[f78,f36]) ).
thf(f78,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) != $true ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) != $true ) ),
inference(superposition,[],[f31,f34]) ).
thf(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f28,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) ) ),
inference(flattening,[],[f27]) ).
thf(f27,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) ) ),
inference(ennf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) )
=> ( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) )
=> ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f16,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X3),X4)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz62g) ).
thf(f74,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f71,f67]) ).
thf(f32,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) = $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) = $true ) ),
inference(ennf_transformation,[],[f23]) ).
thf(f23,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true )
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true ) ),
inference(flattening,[],[f13]) ).
thf(f13,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true )
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
( ~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM761^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 04:13:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (11419)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (11426)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)
% 0.14/0.38 % (11420)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (11421)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (11422)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)
% 0.14/0.38 % (11423)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (11424)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (11425)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (11422)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (11423)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (11422)First to succeed.
% 0.14/0.39 % (11425)Also succeeded, but the first one will report.
% 0.14/0.39 % (11422)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11419"
% 0.21/0.39 % (11422)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (11422)------------------------------
% 0.21/0.39 % (11422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (11422)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (11422)Memory used [KB]: 780
% 0.21/0.39 % (11422)Time elapsed: 0.007 s
% 0.21/0.39 % (11422)Instructions burned: 10 (million)
% 0.21/0.39 % (11419)Success in time 0.021 s
%------------------------------------------------------------------------------