TSTP Solution File: SEV012^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV012^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 09:43:37 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 16 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 58 ( 7 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 26 ( 6 ~; 0 |; 12 &; 0 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 18 ( 17 >; 1 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 2 con; 0-6 aty)
% Number of variables : 28 ( 12 ^ 10 !; 0 ?; 28 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_4,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_5,type,
vAND: $o > $o > $o ).
thf(func_def_6,type,
vOR: $o > $o > $o ).
thf(func_def_7,type,
vIMP: $o > $o > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f10,plain,
$false,
inference(trivial_inequality_removal,[],[f9]) ).
thf(f9,plain,
vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)) != vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)) != vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)),
inference(flattening,[],[f7]) ).
thf(f7,plain,
vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)) != vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)),
inference(true_and_false_elimination,[],[f6]) ).
thf(f6,plain,
~ ( ( vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)) = vAPP(sTfun($o,$o),sTfun($o,sTfun($o,$o)),kCOMB,vAPP($o,sTfun($o,$o),kCOMB,$true)) )
& ( ( $true
& $true )
=> $true )
& ( $true
=> $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ( ^ [X0: $o,X1: $o] : $true )
= ( ^ [X2: $o,X3: $o] : $true ) )
& ( ( $true
& $true )
=> $true )
& ( $true
=> $true ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( ^ [X0: $o,X1: $o] : $true )
= ( ^ [X0: $o,X1: $o] : $true ) )
& ! [X0: $o,X1: $o,X2: $o] :
( ( $true
& $true )
=> $true )
& ! [X0: $o,X1: $o] :
( $true
=> $true ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( ^ [X0: $o,X1: $o] : $true )
= ( ^ [X0: $o,X1: $o] : $true ) )
& ! [X0: $o,X1: $o,X2: $o] :
( ( $true
& $true )
=> $true )
& ! [X0: $o,X1: $o] :
( $true
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM519_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV012^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 12:43:30 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % (27841)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (27848)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)
% 0.15/0.35 % (27848)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.35 % (27848)First to succeed.
% 0.15/0.35 % (27848)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27841"
% 0.15/0.36 % (27848)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Theorem for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (27848)------------------------------
% 0.15/0.36 % (27848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36 % (27848)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (27848)Memory used [KB]: 733
% 0.15/0.36 % (27848)Time elapsed: 0.002 s
% 0.15/0.36 % (27848)Instructions burned: 2 (million)
% 0.15/0.36 % (27841)Success in time 0.01 s
%------------------------------------------------------------------------------