TSTP Solution File: SYO231^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO231^5 : 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 : n019.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 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 14 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 58 ( 6 equ)
% Maximal formula atoms : 1 ( 8 avg)
% Number of connectives : 11 ( 8 ~; 0 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 48 ( 48 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 7 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,
vNOT: $o > $o ).
tff(func_def_7,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
tff(func_def_8,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,$o))),bCOMB,vAND),vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($o,$o),sTfun(sTfun($i,$o),sTfun($i,$o)),bCOMB,vNOT),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,$o))),bCOMB,vAND),vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($o,$o),sTfun(sTfun($i,$o),sTfun($i,$o)),bCOMB,vNOT),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,$o))),bCOMB,vAND),vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($o,$o),sTfun(sTfun($i,$o),sTfun($i,$o)),bCOMB,vNOT),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/sandbox2/benchmark/theBenchmark.p',cSV6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO231^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 11:01:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (9838)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (9841)WARNING: value z3 for option sas not known
% 0.13/0.37 % (9840)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (9841)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (9842)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (9843)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (9844)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)
% 0.13/0.37 % (9839)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (9845)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)
% 0.13/0.37 % (9842)First to succeed.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Immediate (shared) subterms of term/literal vAPP(X0,X2,X3,X4) = vAPP(X1,X2,X3,X4) have different types/not well-typed!
% 0.13/0.37 % (9843)Also succeeded, but the first one will report.
% 0.13/0.37 % (9844)Also succeeded, but the first one will report.
% 0.13/0.37 % (9845)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (9839)Also succeeded, but the first one will report.
% 0.13/0.37 % (9842)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9838"
% 0.13/0.37 % (9845)Also succeeded, but the first one will report.
% 0.13/0.37 % (9841)Also succeeded, but the first one will report.
% 0.13/0.37 % (9842)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 % (9842)------------------------------
% 0.13/0.37 % (9842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (9842)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (9842)Memory used [KB]: 730
% 0.13/0.37 % (9842)Time elapsed: 0.003 s
% 0.13/0.37 % (9842)Instructions burned: 2 (million)
% 0.13/0.37 % (9838)Success in time 0.006 s
%------------------------------------------------------------------------------