TSTP Solution File: NUM578+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 : Wed May 1 03:32:13 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 340 ( 20 equ)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 113 ( 52 ~; 37 |; 11 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 242 ( 242 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 20 !; 0 ?; 13 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_12,type,
sQ18_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f553,plain,
$false,
inference(avatar_sat_refutation,[],[f472,f473,f491,f552]) ).
tff(f552,plain,
~ spl19_2,
inference(avatar_contradiction_clause,[],[f551]) ).
tff(f551,plain,
( $false
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f550,f268]) ).
tff(f268,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
tff(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.b5X1nPs0eP/Vampire---4.8_20102',m__3856) ).
tff(f550,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f549,f267]) ).
tff(f267,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
tff(f549,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f545,f467]) ).
tff(f467,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f465]) ).
tff(f465,plain,
( spl19_2
<=> sdtlseqdt0(szszuzczcdt0(xj),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
tff(f545,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f539,f413]) ).
tff(f413,plain,
sQ18_eqProxy($i,szmzizndt0(sdtlpdtrp0(xN,xi)),szmzizndt0(sdtlpdtrp0(xN,xj))),
inference(equality_proxy_replacement,[],[f273,f401]) ).
tff(f401,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ18_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ18_eqProxy])]) ).
tff(f273,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f104]) ).
tff(f104,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) )
& ( xi != xj )
& ! [X0,X1] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f103]) ).
tff(f103,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) )
& ( xi != xj )
& ! [X0,X1] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f87]) ).
tff(f87,negated_conjecture,
~ ( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( ( xi != xj )
=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
inference(negated_conjecture,[],[f86]) ).
tff(f86,conjecture,
( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( ( xi != xj )
=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.b5X1nPs0eP/Vampire---4.8_20102',m__) ).
tff(f539,plain,
! [X0: $i,X1: $i] :
( ~ sQ18_eqProxy($i,szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X1)))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f458,f415]) ).
tff(f415,plain,
! [X0: $i,X1: $i] :
( ~ sQ18_eqProxy($i,szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X1)))
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f271,f401]) ).
tff(f271,plain,
! [X0: $i,X1: $i] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f104]) ).
tff(f458,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ18_eqProxy(X0,X2,X1)
| ~ sQ18_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f401]) ).
tff(f491,plain,
~ spl19_3,
inference(avatar_split_clause,[],[f490,f469]) ).
tff(f469,plain,
( spl19_3
<=> sdtlseqdt0(szszuzczcdt0(xi),xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
tff(f490,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(subsumption_resolution,[],[f489,f267]) ).
tff(f489,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(subsumption_resolution,[],[f488,f268]) ).
tff(f488,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f415,f413]) ).
tff(f473,plain,
~ spl19_1,
inference(avatar_split_clause,[],[f414,f461]) ).
tff(f461,plain,
( spl19_1
<=> sQ18_eqProxy($i,xi,xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
tff(f414,plain,
~ sQ18_eqProxy($i,xi,xj),
inference(equality_proxy_replacement,[],[f272,f401]) ).
tff(f272,plain,
xi != xj,
inference(cnf_transformation,[],[f104]) ).
tff(f472,plain,
( spl19_1
| spl19_2
| spl19_3 ),
inference(avatar_split_clause,[],[f412,f469,f465,f461]) ).
tff(f412,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| sQ18_eqProxy($i,xi,xj) ),
inference(equality_proxy_replacement,[],[f269,f401]) ).
tff(f269,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| ( xi = xj ) ),
inference(cnf_transformation,[],[f102]) ).
tff(f102,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| ( xi = xj ) ),
inference(flattening,[],[f101]) ).
tff(f101,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| ( xi = xj ) ),
inference(ennf_transformation,[],[f85]) ).
tff(f85,axiom,
( ( xi != xj )
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox/tmp/tmp.b5X1nPs0eP/Vampire---4.8_20102',m__3856_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:48:28 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.b5X1nPs0eP/Vampire---4.8_20102
% 0.56/0.75 % (20357)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75 % (20351)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (20354)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75 % (20353)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (20356)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75 % (20358)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75 % (20355)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.76 % (20351)First to succeed.
% 0.60/0.76 % (20351)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (20351)------------------------------
% 0.60/0.76 % (20351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (20351)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (20351)Memory used [KB]: 1217
% 0.60/0.76 % (20351)Time elapsed: 0.010 s
% 0.60/0.76 % (20351)Instructions burned: 13 (million)
% 0.60/0.76 % (20351)------------------------------
% 0.60/0.76 % (20351)------------------------------
% 0.60/0.76 % (20347)Success in time 0.39 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------