TSTP Solution File: SYO229^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO229^5 : 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 : n008.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 09:10:42 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 8 ( 5 ~; 0 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 36 ( 36 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 22 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 0 con; 2-6 aty)
% Number of variables : 15 ( 2 !; 4 ?; 15 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
cB: $i > $o ).
tff(func_def_1,type,
cA: $i > $o ).
tff(func_def_5,type,
vAND: $o > $o > $o ).
tff(func_def_6,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
tff(func_def_7,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
tff(f9,plain,
$false,
inference(equality_resolution,[],[f8]) ).
tff(f8,plain,
! [X0: $i > $o] : ( vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($i,sTfun($o,$o)),sTfun(sTfun($i,$o),sTfun($i,$o)),sCOMB,vAPP(sTfun($i,$o),sTfun($i,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun($i,$o),sTfun($i,sTfun($o,$o))),bCOMB,vAND),cA)),cB) != (X0) ),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
! [X0: $i > $o] : ( vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($i,sTfun($o,$o)),sTfun(sTfun($i,$o),sTfun($i,$o)),sCOMB,vAPP(sTfun($i,$o),sTfun($i,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun($i,$o),sTfun($i,sTfun($o,$o))),bCOMB,vAND),cA)),cB) != (X0) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,plain,
~ ? [X0: $i > $o] : ( vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($i,sTfun($o,$o)),sTfun(sTfun($i,$o),sTfun($i,$o)),sCOMB,vAPP(sTfun($i,$o),sTfun($i,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun($i,$o),sTfun($i,sTfun($o,$o))),bCOMB,vAND),cA)),cB) = (X0) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ? [X0: $i > $o] :
( (X0)
= ( ^ [X1: $i] :
( vAPP($i,$o,cB,X1)
& vAPP($i,$o,cA,X1) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $i > $o] :
( (X0)
= ( ^ [X1: $i] :
( vAPP($i,$o,cB,X1)
& vAPP($i,$o,cA,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $i > $o] :
( (X0)
= ( ^ [X1: $i] :
( vAPP($i,$o,cB,X1)
& vAPP($i,$o,cA,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSV3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO229^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 08:53:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (9357)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (9361)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (9359)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (9363)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)
% 0.14/0.36 % (9361)First to succeed.
% 0.14/0.36 % Exception at run slice level
% 0.14/0.36 User error: Immediate (shared) subterms of term/literal vAPP(X0,X2,X3,X4) = vAPP(X1,X2,X3,X4) have different types/not well-typed!
% 0.14/0.36 % (9363)Also succeeded, but the first one will report.
% 0.14/0.36 % (9361)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9357"
% 0.14/0.37 % (9364)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)
% 0.14/0.37 % (9361)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (9361)------------------------------
% 0.14/0.37 % (9361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (9361)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (9361)Memory used [KB]: 730
% 0.14/0.37 % (9361)Time elapsed: 0.002 s
% 0.14/0.37 % (9361)Instructions burned: 2 (million)
% 0.14/0.37 % (9357)Success in time 0.007 s
%------------------------------------------------------------------------------