TSTP Solution File: NUM907_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM907_1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n027.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 03:35:11 EDT 2024
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 92 ( 67 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 92 ( 36 ~; 34 |; 14 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 162 ( 0 atm; 121 fun; 5 num; 36 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 24 !; 12 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $rat ).
tff(func_def_6,type,
sK1: $rat ).
tff(func_def_7,type,
sK2: $rat ).
tff(f194,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f37,f144,f191,f193]) ).
tff(f193,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f172,f24,f32]) ).
tff(f32,plain,
( spl3_3
<=> ( sK1 = $sum(sK2,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f24,plain,
( spl3_1
<=> ( sK2 = $sum(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f172,plain,
( ( sK1 = $sum(sK2,$uminus(sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f123,f146]) ).
tff(f146,plain,
( ! [X0: $rat] : ( $sum(sK2,X0) = $sum(sK0,$sum(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f145,f4]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f145,plain,
( ! [X0: $rat] : ( $sum(sK2,X0) = $sum(sK0,$sum(sK1,X0)) )
| ~ spl3_1 ),
inference(superposition,[],[f5,f25]) ).
tff(f25,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f123,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f110]) ).
tff(f110,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f191,plain,
( spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f152,f24,f28]) ).
tff(f28,plain,
( spl3_2
<=> ( sK0 = $sum(sK2,$uminus(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f152,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ~ spl3_1 ),
inference(evaluation,[],[f148]) ).
tff(f148,plain,
( ( $sum(sK2,$uminus(sK1)) = $sum(sK0,0/1) )
| ~ spl3_1 ),
inference(superposition,[],[f145,f8]) ).
tff(f144,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f136,f28,f24]) ).
tff(f136,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl3_2 ),
inference(evaluation,[],[f127]) ).
tff(f127,plain,
( ( $sum(sK0,sK1) = $sum(sK2,0/1) )
| ~ spl3_2 ),
inference(superposition,[],[f108,f38]) ).
tff(f38,plain,
! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f14,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f108,plain,
( ! [X0: $rat] : ( $sum(sK2,$sum($uminus(sK1),X0)) = $sum(sK0,X0) )
| ~ spl3_2 ),
inference(superposition,[],[f5,f29]) ).
tff(f29,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f37,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f28,f24]) ).
tff(f20,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ( sK2 = $sum(sK0,sK1) ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) )
& ( ( ( sK1 = $sum(sK2,$uminus(sK0)) )
& ( sK0 = $sum(sK2,$uminus(sK1)) ) )
| ( sK2 = $sum(sK0,sK1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) )
=> ( ( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) )
& ( ( ( sK1 = $sum(sK2,$uminus(sK0)) )
& ( sK0 = $sum(sK2,$uminus(sK1)) ) )
| ( sK2 = $sum(sK0,sK1) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<~> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.WYWq5Ay2ia/Vampire---4.8_497',rat_combined_problem_2) ).
tff(f35,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f22,f32,f28,f24]) ).
tff(f22,plain,
( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM907_1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.14 % 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
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 17:16:02 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TF0_THM_EQU_ARI problem
% 0.14/0.34 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.WYWq5Ay2ia/Vampire---4.8_497
% 0.55/0.73 % (802)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)
% 0.55/0.73 % (796)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)
% 0.55/0.73 % (798)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (797)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)
% 0.55/0.73 % (799)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)
% 0.55/0.73 % (800)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)
% 0.55/0.73 % (801)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)
% 0.55/0.73 % (799)Refutation not found, incomplete strategy% (799)------------------------------
% 0.55/0.73 % (799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73 % (799)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (799)Memory used [KB]: 958
% 0.55/0.73 % (799)Time elapsed: 0.003 s
% 0.55/0.73 % (796)Refutation not found, incomplete strategy% (796)------------------------------
% 0.55/0.73 % (796)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73 % (799)Instructions burned: 3 (million)
% 0.55/0.73 % (799)------------------------------
% 0.55/0.73 % (799)------------------------------
% 0.55/0.73 % (796)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (796)Memory used [KB]: 983
% 0.55/0.73 % (796)Time elapsed: 0.003 s
% 0.55/0.73 % (796)Instructions burned: 3 (million)
% 0.55/0.73 % (796)------------------------------
% 0.55/0.73 % (796)------------------------------
% 0.55/0.73 % (803)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)
% 0.55/0.73 % (804)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)
% 0.55/0.73 % (798)First to succeed.
% 0.55/0.74 % (803)Refutation not found, incomplete strategy% (803)------------------------------
% 0.55/0.74 % (803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (803)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (803)Memory used [KB]: 956
% 0.55/0.74 % (803)Time elapsed: 0.004 s
% 0.55/0.74 % (803)Instructions burned: 2 (million)
% 0.55/0.74 % (803)------------------------------
% 0.55/0.74 % (803)------------------------------
% 0.55/0.74 % (798)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Theorem for Vampire---4
% 0.55/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74 % (798)------------------------------
% 0.55/0.74 % (798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (798)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (798)Memory used [KB]: 1085
% 0.55/0.74 % (798)Time elapsed: 0.010 s
% 0.55/0.74 % (798)Instructions burned: 13 (million)
% 0.55/0.74 % (798)------------------------------
% 0.55/0.74 % (798)------------------------------
% 0.55/0.74 % (792)Success in time 0.383 s
% 0.55/0.74 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.55/0.74 792 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.WYWq5Ay2ia/Vampire---4.8_497
% 0.55/0.74 % (792)------------------------------
% 0.55/0.74 % (792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (792)Termination reason: Unknown
% 0.55/0.74 % (792)Termination phase: Unknown
% 0.55/0.74
% 0.55/0.74 % (792)Memory used [KB]: 438
% 0.55/0.74 % (792)Time elapsed: 0.384 s
% 0.55/0.74 % (792)Instructions burned: 952 (million)
% 0.55/0.74 % (792)------------------------------
% 0.55/0.74 % (792)------------------------------
% 0.55/0.74 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 ???
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% 0.55/0.74 ???
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------