TSTP Solution File: NUM841+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : 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 03:34:50 EDT 2024
% Result : Theorem 0.67s 0.83s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 21 unt; 0 def)
% Number of atoms : 96 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 80 ( 34 ~; 30 |; 6 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1067,plain,
$false,
inference(subsumption_resolution,[],[f1045,f305]) ).
fof(f305,plain,
~ greater(vplus(vd347,vd345),vplus(vd344,vd347)),
inference(unit_resulting_resolution,[],[f192,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(forward_literal_rewriting,[],[f150,f147]) ).
fof(f147,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X27,X28] :
( greater(X27,X28)
=> less(X28,X27) ),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','ass(cond(140, 0), 0)') ).
fof(f150,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X29,X30] :
( ~ less(X29,X30)
| ~ greater(X29,X30) ),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','ass(cond(goal(130), 0), 2)') ).
fof(f192,plain,
greater(vplus(vd344,vd347),vplus(vd347,vd345)),
inference(forward_demodulation,[],[f124,f123]) ).
fof(f123,plain,
vplus(vd347,vd345) = vplus(vd345,vd347),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vplus(vd347,vd345) = vplus(vd345,vd347),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','holds(213, 351, 0)') ).
fof(f124,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','holds(212, 350, 0)') ).
fof(f1045,plain,
greater(vplus(vd347,vd345),vplus(vd344,vd347)),
inference(backward_demodulation,[],[f191,f974]) ).
fof(f974,plain,
vplus(vd344,vd347) = vplus(vd345,vd348),
inference(unit_resulting_resolution,[],[f120,f377,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| greater(X1,X0) ),
inference(forward_literal_rewriting,[],[f143,f138]) ).
fof(f138,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X17,X18] :
( leq(X17,X18)
=> geq(X18,X17) ),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','ass(cond(163, 0), 0)') ).
fof(f143,plain,
! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X23,X24] :
( geq(X24,X23)
<=> ( X23 = X24
| greater(X24,X23) ) ),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f377,plain,
leq(vplus(vd345,vd348),vplus(vd344,vd347)),
inference(unit_resulting_resolution,[],[f301,f306,f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X8,X9,X10] :
( ( leq(X8,X9)
& leq(X9,X10) )
=> leq(X8,X10) ),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','ass(cond(184, 0), 0)') ).
fof(f306,plain,
leq(vplus(vd347,vd345),vplus(vd344,vd347)),
inference(unit_resulting_resolution,[],[f192,f194]) ).
fof(f194,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ greater(X1,X0) ),
inference(forward_literal_rewriting,[],[f144,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X19,X20] :
( geq(X19,X20)
=> leq(X20,X19) ),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','ass(cond(158, 0), 0)') ).
fof(f144,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f301,plain,
leq(vplus(vd345,vd348),vplus(vd347,vd345)),
inference(unit_resulting_resolution,[],[f191,f194]) ).
fof(f120,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','holds(214, 352, 0)') ).
fof(f191,plain,
greater(vplus(vd347,vd345),vplus(vd345,vd348)),
inference(forward_demodulation,[],[f122,f121]) ).
fof(f121,plain,
vplus(vd345,vd348) = vplus(vd348,vd345),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vplus(vd345,vd348) = vplus(vd348,vd345),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','holds(213, 351, 2)') ).
fof(f122,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/tmp/tmp.92LPKisitY/Vampire---4.8_2945','holds(213, 351, 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.12 % 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
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 16:30:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.92LPKisitY/Vampire---4.8_2945
% 0.63/0.81 % (3061)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81 % (3062)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 (2995ds/34Mi)
% 0.63/0.81 % (3060)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81 % (3059)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 (2995ds/51Mi)
% 0.63/0.81 % (3063)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81 % (3058)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 (2995ds/34Mi)
% 0.63/0.81 % (3064)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 (2995ds/83Mi)
% 0.63/0.81 % (3065)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 (2995ds/56Mi)
% 0.63/0.81 % (3065)Refutation not found, incomplete strategy% (3065)------------------------------
% 0.63/0.81 % (3065)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (3065)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81
% 0.63/0.81 % (3065)Memory used [KB]: 1034
% 0.63/0.81 % (3065)Time elapsed: 0.003 s
% 0.63/0.81 % (3065)Instructions burned: 3 (million)
% 0.63/0.81 % (3065)------------------------------
% 0.63/0.81 % (3065)------------------------------
% 0.63/0.81 % (3062)Refutation not found, incomplete strategy% (3062)------------------------------
% 0.63/0.81 % (3062)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (3062)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81
% 0.63/0.81 % (3062)Memory used [KB]: 1045
% 0.63/0.81 % (3062)Time elapsed: 0.003 s
% 0.63/0.81 % (3062)Instructions burned: 4 (million)
% 0.63/0.81 % (3062)------------------------------
% 0.63/0.81 % (3062)------------------------------
% 0.63/0.81 % (3063)Refutation not found, incomplete strategy% (3063)------------------------------
% 0.63/0.81 % (3063)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (3063)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81
% 0.63/0.81 % (3063)Memory used [KB]: 1034
% 0.63/0.81 % (3063)Time elapsed: 0.004 s
% 0.63/0.81 % (3063)Instructions burned: 3 (million)
% 0.63/0.81 % (3063)------------------------------
% 0.63/0.81 % (3063)------------------------------
% 0.63/0.81 % (3058)Refutation not found, incomplete strategy% (3058)------------------------------
% 0.63/0.81 % (3058)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (3058)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81
% 0.63/0.81 % (3058)Memory used [KB]: 1074
% 0.63/0.81 % (3058)Time elapsed: 0.006 s
% 0.63/0.81 % (3058)Instructions burned: 8 (million)
% 0.63/0.81 % (3058)------------------------------
% 0.63/0.81 % (3058)------------------------------
% 0.63/0.81 % (3066)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 (2995ds/55Mi)
% 0.63/0.81 % (3067)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 (2995ds/50Mi)
% 0.63/0.81 % (3068)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.82 % (3069)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.82 % (3061)Instruction limit reached!
% 0.63/0.82 % (3061)------------------------------
% 0.63/0.82 % (3061)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (3061)Termination reason: Unknown
% 0.63/0.82 % (3061)Termination phase: Saturation
% 0.63/0.82
% 0.63/0.82 % (3061)Memory used [KB]: 1235
% 0.63/0.82 % (3061)Time elapsed: 0.019 s
% 0.63/0.82 % (3061)Instructions burned: 34 (million)
% 0.63/0.82 % (3061)------------------------------
% 0.63/0.82 % (3061)------------------------------
% 0.63/0.83 % (3070)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.67/0.83 % (3066)First to succeed.
% 0.67/0.83 % (3066)Refutation found. Thanks to Tanya!
% 0.67/0.83 % SZS status Theorem for Vampire---4
% 0.67/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.83 % (3066)------------------------------
% 0.67/0.83 % (3066)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.83 % (3066)Termination reason: Refutation
% 0.67/0.83
% 0.67/0.83 % (3066)Memory used [KB]: 1280
% 0.67/0.83 % (3066)Time elapsed: 0.019 s
% 0.67/0.83 % (3066)Instructions burned: 36 (million)
% 0.67/0.83 % (3066)------------------------------
% 0.67/0.83 % (3066)------------------------------
% 0.67/0.83 % (3055)Success in time 0.504 s
% 0.67/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------