TSTP Solution File: NUM841+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM841+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 13:18:09 EDT 2024
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 20 unt; 0 def)
% Number of atoms : 96 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 34 ~; 27 |; 8 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 88 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f976,plain,
$false,
inference(subsumption_resolution,[],[f969,f696]) ).
fof(f696,plain,
! [X0] : less(vplus(vd345,X0),vplus(vd344,X0)),
inference(resolution,[],[f650,f164]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ less(X0,X1)
| less(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( less(X3,X4)
=> less(vplus(X3,X5),vplus(X4,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f650,plain,
less(vd345,vd344),
inference(superposition,[],[f188,f337]) ).
fof(f337,plain,
vd344 = vplus(vd345,sK3(vd345,vd344)),
inference(resolution,[],[f160,f121]) ).
fof(f121,plain,
greater(vd344,vd345),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
greater(vd344,vd345),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f160,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK3(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f117,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X34,X35] :
( greater(X35,X34)
<=> ? [X36] : vplus(X34,X36) = X35 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f188,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK2(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f113,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK2(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X31,X32] :
( less(X32,X31)
<=> ? [X33] : vplus(X32,X33) = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f969,plain,
~ less(vplus(vd345,vd347),vplus(vd344,vd347)),
inference(superposition,[],[f920,f338]) ).
fof(f338,plain,
vd347 = vplus(vd348,sK3(vd348,vd347)),
inference(resolution,[],[f160,f122]) ).
fof(f122,plain,
greater(vd347,vd348),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
greater(vd347,vd348),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f920,plain,
! [X0] : ~ less(vplus(vd345,vplus(vd348,X0)),vplus(vd344,vd347)),
inference(forward_demodulation,[],[f911,f162]) ).
fof(f162,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X51,X52,X53] : vplus(vplus(X51,X52),X53) = vplus(X51,vplus(X52,X53)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f911,plain,
! [X0] : ~ less(vplus(vplus(vd345,vd348),X0),vplus(vd344,vd347)),
inference(resolution,[],[f903,f188]) ).
fof(f903,plain,
! [X0] :
( ~ less(vplus(vd345,vd348),X0)
| ~ less(X0,vplus(vd344,vd347)) ),
inference(resolution,[],[f265,f120]) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f265,plain,
! [X2,X0,X1] :
( greater(X2,X0)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(resolution,[],[f170,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X25,X26] :
( less(X25,X26)
=> greater(X26,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f170,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X14,X15,X16] :
( ( less(X14,X15)
& less(X15,X16) )
=> less(X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM841+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 03:41:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12528)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12526)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12524)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12525)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12529)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12527)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.20/0.42 % (12528)Refutation not found, incomplete strategy% (12528)------------------------------
% 0.20/0.42 % (12528)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (12528)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (12528)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (12528)Memory used [KB]: 1174
% 0.20/0.42 % (12528)Time elapsed: 0.006 s
% 0.20/0.42 % (12528)Instructions burned: 7 (million)
% 0.20/0.42 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (12523)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.20/0.42 % (12528)------------------------------
% 0.20/0.42 % (12528)------------------------------
% 0.21/0.43 % (12529)Refutation not found, incomplete strategy% (12529)------------------------------
% 0.21/0.43 % (12529)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (12529)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (12529)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (12529)Memory used [KB]: 1150
% 0.21/0.43 % (12529)Time elapsed: 0.006 s
% 0.21/0.43 % (12529)Instructions burned: 5 (million)
% 0.21/0.43 % (12529)------------------------------
% 0.21/0.43 % (12529)------------------------------
% 0.21/0.45 % (12527)First to succeed.
% 0.21/0.45 % (12527)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12522"
% 0.21/0.46 % (12522)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (12527)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46 % (12527)------------------------------
% 0.21/0.46 % (12527)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46 % (12527)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46 % (12527)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (12527)Memory used [KB]: 1489
% 0.21/0.46 % (12527)Time elapsed: 0.033 s
% 0.21/0.46 % (12527)Instructions burned: 48 (million)
% 0.21/0.46 % (12527)------------------------------
% 0.21/0.46 % (12527)------------------------------
% 0.21/0.46 % (12522)Success in time 0.093 s
%------------------------------------------------------------------------------