TSTP Solution File: SEV240^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV240^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 04:15:29 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 27 ( 4 unt; 13 typ; 0 def)
% Number of atoms : 142 ( 33 equ; 0 cnn)
% Maximal formula atoms : 8 ( 10 avg)
% Number of connectives : 52 ( 20 ~; 8 |; 14 &; 0 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 37 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 3 con; 0-6 aty)
% Number of variables : 31 ( 0 ^ 15 !; 10 ?; 31 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cA: ( a > $o ) > $o ).
thf(func_def_5,type,
sK0: a > $o ).
thf(func_def_6,type,
sK1: a ).
thf(func_def_7,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_8,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
vIMP: $o > $o > $o ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f12]) ).
thf(f12,plain,
$true = vAPP(a,$o,sK0,sK1),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ! [X2: a > $o] :
( ( $true != vAPP(a,$o,X2,sK1) )
| ( vAPP(sTfun(a,$o),$o,cA,X2) != $true ) )
& ( $true = vAPP(a,$o,sK0,sK1) )
& ( $true = vAPP(sTfun(a,$o),$o,cA,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X0: a > $o] :
( ? [X1: a] :
( ! [X2: a > $o] :
( ( vAPP(a,$o,X2,X1) != $true )
| ( vAPP(sTfun(a,$o),$o,cA,X2) != $true ) )
& ( vAPP(a,$o,X0,X1) = $true ) )
& ( vAPP(sTfun(a,$o),$o,cA,X0) = $true ) )
=> ( ? [X1: a] :
( ! [X2: a > $o] :
( ( vAPP(a,$o,X2,X1) != $true )
| ( vAPP(sTfun(a,$o),$o,cA,X2) != $true ) )
& ( $true = vAPP(a,$o,sK0,X1) ) )
& ( $true = vAPP(sTfun(a,$o),$o,cA,sK0) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X1: a] :
( ! [X2: a > $o] :
( ( vAPP(a,$o,X2,X1) != $true )
| ( vAPP(sTfun(a,$o),$o,cA,X2) != $true ) )
& ( $true = vAPP(a,$o,sK0,X1) ) )
=> ( ! [X2: a > $o] :
( ( $true != vAPP(a,$o,X2,sK1) )
| ( vAPP(sTfun(a,$o),$o,cA,X2) != $true ) )
& ( $true = vAPP(a,$o,sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: a > $o] :
( ? [X1: a] :
( ! [X2: a > $o] :
( ( vAPP(a,$o,X2,X1) != $true )
| ( vAPP(sTfun(a,$o),$o,cA,X2) != $true ) )
& ( vAPP(a,$o,X0,X1) = $true ) )
& ( vAPP(sTfun(a,$o),$o,cA,X0) = $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o] :
( ( vAPP(sTfun(a,$o),$o,cA,X0) = $true )
=> ! [X1: a] :
( ( vAPP(a,$o,X0,X1) = $true )
=> ? [X2: a > $o] :
( ( vAPP(a,$o,X2,X1) = $true )
& ( vAPP(sTfun(a,$o),$o,cA,X2) = $true ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o] :
( vAPP(sTfun(a,$o),$o,cA,X0)
=> ! [X1: a] :
( vAPP(a,$o,X0,X1)
=> ? [X2: a > $o] :
( vAPP(a,$o,X2,X1)
& vAPP(sTfun(a,$o),$o,cA,X2) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o] :
( vAPP(sTfun(a,$o),$o,cA,X0)
=> ! [X1: a] :
( vAPP(a,$o,X0,X1)
=> ? [X2: a > $o] :
( vAPP(a,$o,X2,X1)
& vAPP(sTfun(a,$o),$o,cA,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o] :
( vAPP(sTfun(a,$o),$o,cA,X0)
=> ! [X1: a] :
( vAPP(a,$o,X0,X1)
=> ? [X2: a > $o] :
( vAPP(a,$o,X2,X1)
& vAPP(sTfun(a,$o),$o,cA,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDOMTHM1_pme) ).
thf(f45,plain,
$true != vAPP(a,$o,sK0,sK1),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f42,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK1) ) ),
inference(superposition,[],[f13,f11]) ).
thf(f11,plain,
$true = vAPP(sTfun(a,$o),$o,cA,sK0),
inference(cnf_transformation,[],[f10]) ).
thf(f13,plain,
! [X2: a > $o] :
( ( vAPP(sTfun(a,$o),$o,cA,X2) != $true )
| ( $true != vAPP(a,$o,X2,sK1) ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV240^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n023.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 : Sun May 19 18:46:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (22650)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (22654)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (22652)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (22653)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)
% 0.13/0.36 % (22655)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (22654)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % (22653)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % (22656)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % Exception at run slice level% 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
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (22655)First to succeed.
% 0.13/0.37 % (22653)Also succeeded, but the first one will report.
% 0.13/0.37 % (22656)Also succeeded, but the first one will report.
% 0.13/0.37 % (22655)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22650"
% 0.13/0.37 % (22655)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (22655)------------------------------
% 0.13/0.37 % (22655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (22655)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (22655)Memory used [KB]: 754
% 0.13/0.37 % (22655)Time elapsed: 0.004 s
% 0.13/0.37 % (22655)Instructions burned: 4 (million)
% 0.13/0.37 % (22650)Success in time 0.005 s
%------------------------------------------------------------------------------