TSTP Solution File: SYO132^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO132^5 : 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 : n032.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 09:10:23 EDT 2024
% Result : Theorem 0.08s 0.28s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 32 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 177 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 45 ( 15 ~; 5 |; 18 &; 0 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-6 aty)
% Number of variables : 6 ( 0 ^ 0 !; 0 ?; 6 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cS: $i > $o ).
thf(func_def_2,type,
cT: $i > $o ).
thf(func_def_3,type,
cP: ( $i > $o ) > $o ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f31,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f24,f29,f30]) ).
thf(f30,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f13,f16,f21]) ).
thf(f21,plain,
( spl0_2
<=> ( vAPP(sTfun($i,$o),$o,cP,cT) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f16,plain,
( spl0_1
<=> ( vAPP($i,$o,cT,cX) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f13,plain,
( ( vAPP($i,$o,cT,cX) != $true )
| ( vAPP(sTfun($i,$o),$o,cP,cT) != $true ) ),
inference(definition_unfolding,[],[f12,f11]) ).
thf(f11,plain,
cS = cT,
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( ( vAPP($i,$o,cS,cX) != $true )
| ( vAPP(sTfun($i,$o),$o,cP,cT) != $true ) )
& ( cS = cT )
& ( vAPP($i,$o,cT,cX) = $true )
& ( vAPP(sTfun($i,$o),$o,cP,cS) = $true ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ( ( vAPP($i,$o,cS,cX) != $true )
| ( vAPP(sTfun($i,$o),$o,cP,cT) != $true ) )
& ( cS = cT )
& ( vAPP($i,$o,cT,cX) = $true )
& ( vAPP(sTfun($i,$o),$o,cP,cS) = $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ( cS = cT )
& ( vAPP($i,$o,cT,cX) = $true )
& ( vAPP(sTfun($i,$o),$o,cP,cS) = $true ) )
=> ( ( vAPP($i,$o,cS,cX) = $true )
& ( vAPP(sTfun($i,$o),$o,cP,cT) = $true ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ( cS = cT )
& vAPP($i,$o,cT,cX)
& vAPP(sTfun($i,$o),$o,cP,cS) )
=> ( vAPP($i,$o,cS,cX)
& vAPP(sTfun($i,$o),$o,cP,cT) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( cS = cT )
& vAPP($i,$o,cT,cX)
& vAPP(sTfun($i,$o),$o,cP,cS) )
=> ( vAPP($i,$o,cS,cX)
& vAPP(sTfun($i,$o),$o,cP,cT) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( cS = cT )
& vAPP($i,$o,cT,cX)
& vAPP(sTfun($i,$o),$o,cP,cS) )
=> ( vAPP($i,$o,cS,cX)
& vAPP(sTfun($i,$o),$o,cP,cT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM503) ).
thf(f12,plain,
( ( vAPP($i,$o,cS,cX) != $true )
| ( vAPP(sTfun($i,$o),$o,cP,cT) != $true ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f29,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f3,f26]) ).
thf(f26,plain,
( spl0_3
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f24,plain,
spl0_2,
inference(avatar_split_clause,[],[f14,f21]) ).
thf(f14,plain,
vAPP(sTfun($i,$o),$o,cP,cT) = $true,
inference(definition_unfolding,[],[f9,f11]) ).
thf(f9,plain,
vAPP(sTfun($i,$o),$o,cP,cS) = $true,
inference(cnf_transformation,[],[f8]) ).
thf(f19,plain,
spl0_1,
inference(avatar_split_clause,[],[f10,f16]) ).
thf(f10,plain,
vAPP($i,$o,cT,cX) = $true,
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SYO132^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon May 20 08:44:22 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % (26069)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.28 % (26072)WARNING: value z3 for option sas not known
% 0.08/0.28 % (26072)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)
% 0.08/0.28 % (26070)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.28 % (26071)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.28 % (26074)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)
% 0.08/0.28 % Exception at run slice level
% 0.08/0.28 % Exception at run slice level
% 0.08/0.28 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.28 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.28 % (26074)First to succeed.
% 0.08/0.28 % (26075)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)
% 0.08/0.28 % (26074)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26069"
% 0.08/0.28 % (26072)Also succeeded, but the first one will report.
% 0.08/0.28 % (26074)Refutation found. Thanks to Tanya!
% 0.08/0.28 % SZS status Theorem for theBenchmark
% 0.08/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.28 % (26074)------------------------------
% 0.08/0.28 % (26074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.28 % (26074)Termination reason: Refutation
% 0.08/0.28
% 0.08/0.28 % (26074)Memory used [KB]: 755
% 0.08/0.28 % (26074)Time elapsed: 0.003 s
% 0.08/0.28 % (26074)Instructions burned: 3 (million)
% 0.08/0.28 % (26069)Success in time 0.01 s
%------------------------------------------------------------------------------