TSTP Solution File: NUM787^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM787^1 : 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 : n011.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 02:13:26 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 39 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 201 ( 32 equ; 0 cnn)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 50 ( 27 ~; 9 |; 1 &; 0 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 4 con; 0-6 aty)
% Number of variables : 20 ( 0 ^ 14 !; 0 ?; 20 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
rat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
rat: $tType ).
thf(func_def_1,type,
x0: rat ).
thf(func_def_2,type,
y0: rat ).
thf(func_def_3,type,
less: rat > rat > $o ).
thf(func_def_5,type,
more: rat > rat > $o ).
thf(func_def_6,type,
is: rat > rat > $o ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f67,plain,
$false,
inference(subsumption_resolution,[],[f66,f26]) ).
thf(f26,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0) != $true,
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0) != $true,
inference(flattening,[],[f11]) ).
thf(f11,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0) != $true,
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
thf(f66,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0) = $true,
inference(subsumption_resolution,[],[f65,f24]) ).
thf(f24,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) != $true,
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) != $true )
& ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) != $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f16,plain,
~ ( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) != $true )
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) = $true ) ),
inference(flattening,[],[f9]) ).
thf(f9,plain,
~ ( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) != $true )
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) = $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
~ ( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz81f) ).
thf(f65,plain,
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0) = $true ) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f64,plain,
( ( $true != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0) = $true ) ),
inference(superposition,[],[f25,f28]) ).
thf(f28,plain,
! [X0: rat,X1: rat] :
( ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
! [X0: rat,X1: rat] :
( ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1) ) ),
inference(flattening,[],[f22]) ).
thf(f22,plain,
! [X0: rat,X1: rat] :
( ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1) ) ),
inference(ennf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: rat,X1: rat] :
( ( $true != vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1) )
=> ( ( $true != vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) )
=> ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) ) ) ),
inference(flattening,[],[f15]) ).
thf(f15,plain,
! [X0: rat,X1: rat] :
( ( $true != vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1) )
=> ( ( $true != vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) )
=> ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: rat,X1: rat] :
( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)
=> ( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X1: rat,X2: rat] :
( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X1),X2)
=> ( ~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X2)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz81a) ).
thf(f25,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0) != $true,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM787^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 05:15:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (27018)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (27022)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (27021)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)
% 0.15/0.37 % (27024)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (27023)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (27020)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (27025)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)
% 0.15/0.37 % (27022)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.37 % (27021)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.37 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.15/0.37
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsUser error:
% 0.15/0.37 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % (27019)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % (27024)First to succeed.
% 0.15/0.37 % (27023)Also succeeded, but the first one will report.
% 0.15/0.37 % (27021)Also succeeded, but the first one will report.
% 0.15/0.37 % (27024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27018"
% 0.15/0.37 % (27024)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (27024)------------------------------
% 0.15/0.37 % (27024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (27024)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (27024)Memory used [KB]: 757
% 0.15/0.37 % (27024)Time elapsed: 0.005 s
% 0.15/0.37 % (27024)Instructions burned: 5 (million)
% 0.15/0.37 % (27018)Success in time 0.008 s
%------------------------------------------------------------------------------