TSTP Solution File: NUM681_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM681_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 03:33:17 EDT 2024
% Result : Theorem 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 13 unt; 7 typ; 0 def)
% Number of atoms : 100 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 116 ( 60 ~; 27 |; 4 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
less: ( nat * nat ) > $o ).
tff(pred_def_2,type,
more: ( nat * nat ) > $o ).
tff(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f87,f95]) ).
tff(f95,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f94]) ).
tff(f94,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f88]) ).
tff(f88,plain,
( ( x != x )
| ~ spl0_1 ),
inference(superposition,[],[f35,f79]) ).
tff(f79,plain,
( ( x = y )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f77,plain,
( spl0_1
<=> ( x = y ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f35,plain,
x != y,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
x != y,
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
( ~ x = y ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
x = y,
file('/export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045',satz20b) ).
tff(f87,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f85]) ).
tff(f85,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f83,f61]) ).
tff(f61,plain,
~ less(y,x),
inference(resolution,[],[f55,f37]) ).
tff(f37,plain,
! [X1: nat] : ~ less(X1,X1),
inference(equality_resolution,[],[f31]) ).
tff(f31,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: nat,X2: nat] :
~ ( ( ( X1 = X2 )
=> ~ more(X1,X2) )
=> ~ ~ ( ( more(X1,X2)
=> ~ less(X1,X2) )
=> ~ ( less(X1,X2)
=> ( X1 != X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045',satz10b) ).
tff(f55,plain,
! [X0: nat] :
( less(pl(x,z),pl(X0,z))
| ~ less(y,X0) ),
inference(superposition,[],[f32,f27]) ).
tff(f27,plain,
pl(x,z) = pl(y,z),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
pl(x,z) = pl(y,z),
file('/export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045',i) ).
tff(f32,plain,
! [X2: nat,X0: nat,X1: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X1)
=> less(pl(X0,X2),pl(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat,X2: nat,X3: nat] :
( less(X1,X2)
=> less(pl(X1,X3),pl(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045',satz19c) ).
tff(f83,plain,
( less(y,x)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f81,plain,
( spl0_2
<=> less(y,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f84,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f75,f81,f77]) ).
tff(f75,plain,
( less(y,x)
| ( x = y ) ),
inference(resolution,[],[f72,f33]) ).
tff(f33,plain,
! [X0: nat,X1: nat] :
( more(X0,X1)
| less(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(flattening,[],[f24]) ).
tff(f24,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ more(X0,X1)
=> less(X0,X1) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( ~ more(X1,X2)
=> less(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045',satz10a) ).
tff(f72,plain,
~ more(y,x),
inference(resolution,[],[f59,f38]) ).
tff(f38,plain,
! [X1: nat] : ~ more(X1,X1),
inference(equality_resolution,[],[f29]) ).
tff(f29,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f59,plain,
! [X0: nat] :
( more(pl(x,z),pl(X0,z))
| ~ more(y,X0) ),
inference(superposition,[],[f34,f27]) ).
tff(f34,plain,
! [X2: nat,X0: nat,X1: nat] :
( more(pl(X0,X2),pl(X1,X2))
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: nat,X1: nat,X2: nat] :
( more(pl(X0,X2),pl(X1,X2))
| ~ more(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: nat,X1: nat,X2: nat] :
( more(X0,X1)
=> more(pl(X0,X2),pl(X1,X2)) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: nat,X2: nat,X3: nat] :
( more(X1,X2)
=> more(pl(X1,X3),pl(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045',satz19a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUM681_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 16:22:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TX0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045
% 0.59/0.75 % (5254)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)
% 0.59/0.75 % (5253)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)
% 0.59/0.75 % (5254)Refutation not found, incomplete strategy% (5254)------------------------------
% 0.59/0.75 % (5254)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5254)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5254)Memory used [KB]: 948
% 0.59/0.75 % (5254)Time elapsed: 0.001 s
% 0.59/0.75 % (5254)Instructions burned: 2 (million)
% 0.59/0.75 % (5254)------------------------------
% 0.59/0.75 % (5254)------------------------------
% 0.59/0.75 % (5253)Refutation not found, incomplete strategy% (5253)------------------------------
% 0.59/0.75 % (5253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5253)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5253)Memory used [KB]: 951
% 0.59/0.75 % (5253)Time elapsed: 0.002 s
% 0.59/0.75 % (5253)Instructions burned: 2 (million)
% 0.59/0.75 % (5253)------------------------------
% 0.59/0.75 % (5253)------------------------------
% 0.59/0.75 % (5248)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)
% 0.59/0.75 % (5247)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)
% 0.59/0.75 % (5250)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)
% 0.59/0.75 % (5251)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)
% 0.59/0.75 % (5249)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (5252)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)
% 0.59/0.75 % (5250)Refutation not found, incomplete strategy% (5250)------------------------------
% 0.59/0.75 % (5250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5250)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5250)Memory used [KB]: 947
% 0.59/0.75 % (5250)Time elapsed: 0.002 s
% 0.59/0.75 % (5250)Instructions burned: 2 (million)
% 0.59/0.75 % (5250)------------------------------
% 0.59/0.75 % (5250)------------------------------
% 0.59/0.75 % (5252)Refutation not found, incomplete strategy% (5252)------------------------------
% 0.59/0.75 % (5252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5252)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5252)Memory used [KB]: 947
% 0.59/0.75 % (5252)Time elapsed: 0.002 s
% 0.59/0.75 % (5252)Instructions burned: 2 (million)
% 0.59/0.75 % (5252)------------------------------
% 0.59/0.75 % (5252)------------------------------
% 0.59/0.75 % (5251)Refutation not found, incomplete strategy% (5251)------------------------------
% 0.59/0.75 % (5251)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5247)Refutation not found, incomplete strategy% (5247)------------------------------
% 0.59/0.75 % (5247)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5247)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5247)Memory used [KB]: 967
% 0.59/0.75 % (5247)Time elapsed: 0.003 s
% 0.59/0.75 % (5247)Instructions burned: 2 (million)
% 0.59/0.75 % (5247)------------------------------
% 0.59/0.75 % (5247)------------------------------
% 0.59/0.75 % (5251)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5251)Memory used [KB]: 969
% 0.59/0.75 % (5251)Time elapsed: 0.003 s
% 0.59/0.75 % (5251)Instructions burned: 2 (million)
% 0.59/0.75 % (5251)------------------------------
% 0.59/0.75 % (5251)------------------------------
% 0.59/0.75 % (5248)First to succeed.
% 0.59/0.75 % (5255)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.75 % (5256)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75 % (5256)Refutation not found, incomplete strategy% (5256)------------------------------
% 0.59/0.75 % (5256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5256)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (5256)Memory used [KB]: 952
% 0.59/0.75 % (5256)Time elapsed: 0.001 s
% 0.59/0.75 % (5256)Instructions burned: 2 (million)
% 0.59/0.75 % (5256)------------------------------
% 0.59/0.75 % (5256)------------------------------
% 0.59/0.75 % (5248)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Theorem for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (5248)------------------------------
% 0.59/0.75 % (5248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5248)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (5248)Memory used [KB]: 1056
% 0.59/0.75 % (5248)Time elapsed: 0.005 s
% 0.59/0.75 % (5248)Instructions burned: 5 (million)
% 0.59/0.75 % (5248)------------------------------
% 0.59/0.75 % (5248)------------------------------
% 0.59/0.75 % (5237)Success in time 0.389 s
% 0.59/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.59/0.75 5237 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.qJF4JLi07X/Vampire---4.8_5045
% 0.59/0.75 % (5237)------------------------------
% 0.59/0.75 % (5237)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (5237)Termination reason: Unknown
% 0.59/0.75 % (5237)Termination phase: Unknown
% 0.59/0.75
% 0.59/0.75 % (5237)Memory used [KB]: 439
% 0.59/0.75 % (5237)Time elapsed: 0.389 s
% 0.59/0.75 % (5237)Instructions burned: 953 (million)
% 0.59/0.75 % (5237)------------------------------
% 0.59/0.75 % (5237)------------------------------
% 0.59/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 ???
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------