TSTP Solution File: NUM755_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM755_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : n024.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 03:34:08 EDT 2024
% Result : Theorem 0.60s 0.75s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 113 ( 58 ~; 26 |; 4 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
moref: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(pred_def_3,type,
lessf: ( frac * frac ) > $o ).
tff(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f69,f72]) ).
tff(f72,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f70]) ).
tff(f70,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f62,f55]) ).
tff(f55,plain,
~ eq(x,y),
inference(resolution,[],[f52,f27]) ).
tff(f27,plain,
moref(pf(x,z),pf(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
moref(pf(x,z),pf(y,z)),
file('/export/starexec/sandbox/tmp/tmp.T0TMg4zTxH/Vampire---4.8_23992',m) ).
tff(f52,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ moref(pf(X0,X2),pf(X1,X2))
| ~ eq(X0,X1) ),
inference(resolution,[],[f32,f29]) ).
tff(f29,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ~ ~ ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: frac,X2: frac] :
~ ( ( eq(X1,X2)
=> ~ moref(X1,X2) )
=> ~ ~ ( ( moref(X1,X2)
=> ~ lessf(X1,X2) )
=> ~ ( lessf(X1,X2)
=> ~ eq(X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.T0TMg4zTxH/Vampire---4.8_23992',satz41b) ).
tff(f32,plain,
! [X2: frac,X0: frac,X1: frac] :
( eq(pf(X0,X2),pf(X1,X2))
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(pf(X0,X2),pf(X1,X2))
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X1)
=> eq(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac] :
( eq(X1,X2)
=> eq(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.T0TMg4zTxH/Vampire---4.8_23992',satz62b) ).
tff(f62,plain,
( eq(x,y)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f60,plain,
( spl0_1
<=> eq(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f69,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f68]) ).
tff(f68,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f66,f35]) ).
tff(f35,plain,
~ moref(x,y),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ moref(x,y),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ moref(x,y),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
moref(x,y),
file('/export/starexec/sandbox/tmp/tmp.T0TMg4zTxH/Vampire---4.8_23992',satz63a) ).
tff(f66,plain,
( moref(x,y)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f64,plain,
( spl0_2
<=> moref(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f67,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f58,f64,f60]) ).
tff(f58,plain,
( moref(x,y)
| eq(x,y) ),
inference(resolution,[],[f57,f34]) ).
tff(f34,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
=> ( ~ moref(X0,X1)
=> lessf(X0,X1) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac] :
( ~ eq(X1,X2)
=> ( ~ moref(X1,X2)
=> lessf(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.T0TMg4zTxH/Vampire---4.8_23992',satz41a) ).
tff(f57,plain,
~ lessf(x,y),
inference(resolution,[],[f54,f27]) ).
tff(f54,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ moref(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(resolution,[],[f33,f30]) ).
tff(f30,plain,
! [X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f33,plain,
! [X2: frac,X0: frac,X1: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> lessf(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> lessf(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.T0TMg4zTxH/Vampire---4.8_23992',satz62c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM755_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.14 % 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
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 16:45:51 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TX0_THM_NEQ_NAR problem
% 0.15/0.36 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.T0TMg4zTxH/Vampire---4.8_23992
% 0.58/0.75 % (24246)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (24251)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)
% 0.58/0.75 % (24251)Refutation not found, incomplete strategy% (24251)------------------------------
% 0.58/0.75 % (24251)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24251)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24251)Memory used [KB]: 950
% 0.58/0.75 % (24251)Time elapsed: 0.002 s
% 0.58/0.75 % (24251)Instructions burned: 2 (million)
% 0.58/0.75 % (24251)------------------------------
% 0.58/0.75 % (24251)------------------------------
% 0.58/0.75 % (24245)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)
% 0.58/0.75 % (24247)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (24248)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)
% 0.58/0.75 % (24249)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)
% 0.58/0.75 % (24250)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)
% 0.58/0.75 % (24246)First to succeed.
% 0.58/0.75 % (24248)Refutation not found, incomplete strategy% (24248)------------------------------
% 0.58/0.75 % (24248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24250)Refutation not found, incomplete strategy% (24250)------------------------------
% 0.58/0.75 % (24250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24248)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24248)Memory used [KB]: 943
% 0.58/0.75 % (24248)Time elapsed: 0.002 s
% 0.58/0.75 % (24248)Instructions burned: 2 (million)
% 0.58/0.75 % (24248)------------------------------
% 0.58/0.75 % (24248)------------------------------
% 0.58/0.75 % (24250)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24250)Memory used [KB]: 943
% 0.58/0.75 % (24250)Time elapsed: 0.002 s
% 0.58/0.75 % (24250)Instructions burned: 2 (million)
% 0.58/0.75 % (24245)Refutation not found, incomplete strategy% (24245)------------------------------
% 0.58/0.75 % (24245)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24245)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24245)Memory used [KB]: 950
% 0.58/0.75 % (24245)Time elapsed: 0.002 s
% 0.58/0.75 % (24245)Instructions burned: 2 (million)
% 0.58/0.75 % (24245)------------------------------
% 0.58/0.75 % (24245)------------------------------
% 0.58/0.75 % (24250)------------------------------
% 0.58/0.75 % (24250)------------------------------
% 0.58/0.75 % (24249)Refutation not found, incomplete strategy% (24249)------------------------------
% 0.58/0.75 % (24249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24249)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24249)Memory used [KB]: 952
% 0.58/0.75 % (24249)Time elapsed: 0.002 s
% 0.58/0.75 % (24249)Instructions burned: 2 (million)
% 0.58/0.75 % (24249)------------------------------
% 0.58/0.75 % (24249)------------------------------
% 0.60/0.75 % (24246)Refutation found. Thanks to Tanya!
% 0.60/0.75 % SZS status Theorem for Vampire---4
% 0.60/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75 % (24246)------------------------------
% 0.60/0.75 % (24246)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (24246)Termination reason: Refutation
% 0.60/0.75
% 0.60/0.75 % (24246)Memory used [KB]: 989
% 0.60/0.75 % (24246)Time elapsed: 0.003 s
% 0.60/0.75 % (24246)Instructions burned: 4 (million)
% 0.60/0.75 % (24246)------------------------------
% 0.60/0.75 % (24246)------------------------------
% 0.60/0.75 % (24241)Success in time 0.389 s
% 0.60/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------