TSTP Solution File: SWV164+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV164+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n019.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 04:02:44 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 106 ( 22 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 32 ~; 27 |; 24 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 16 con; 0-3 aty)
% Number of variables : 40 ( 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(avatar_sat_refutation,[],[f256,f271,f341]) ).
fof(f341,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f330,f295]) ).
fof(f295,plain,
gt(n0,sK0),
inference(forward_demodulation,[],[f261,f224]) ).
fof(f224,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f158,f211]) ).
fof(f211,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',succ_plus_1_l) ).
fof(f158,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',succ_tptp_minus_1) ).
fof(f261,plain,
gt(plus(n1,tptp_minus_1),sK0),
inference(unit_resulting_resolution,[],[f129,f221]) ).
fof(f221,plain,
! [X0,X1] :
( gt(plus(n1,X1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f145,f211]) ).
fof(f145,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',leq_succ_gt_equiv) ).
fof(f129,plain,
leq(sK0,tptp_minus_1),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ? [X1] :
( a_select3(q,pv10,X1) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
& leq(X1,tptp_minus_1)
& leq(n0,X1) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
( ? [X1] :
( a_select3(q,pv10,X1) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
& leq(X1,tptp_minus_1)
& leq(n0,X1) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X1] :
( ( leq(X1,tptp_minus_1)
& leq(n0,X1) )
=> a_select3(q,pv10,X1) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13] :
( ( leq(X13,pred(pv10))
& leq(n0,X13) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X17] :
( ( leq(X17,tptp_minus_1)
& leq(n0,X17) )
=> a_select3(q,pv10,X17) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X17)),minus(a_select2(x,pv10),a_select2(mu,X17))),tptp_minus_2),times(a_select2(sigma,X17),a_select2(sigma,X17)))),a_select2(rho,X17)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X17))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13] :
( ( leq(X13,pred(pv10))
& leq(n0,X13) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X17] :
( ( leq(X17,tptp_minus_1)
& leq(n0,X17) )
=> a_select3(q,pv10,X17) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X17)),minus(a_select2(x,pv10),a_select2(mu,X17))),tptp_minus_2),times(a_select2(sigma,X17),a_select2(sigma,X17)))),a_select2(rho,X17)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X17))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',cl5_nebula_norm_0014) ).
fof(f330,plain,
( ~ gt(n0,sK0)
| ~ spl1_1 ),
inference(unit_resulting_resolution,[],[f197,f251,f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',transitivity_gt) ).
fof(f251,plain,
( gt(sK0,n0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl1_1
<=> gt(sK0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f197,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',irreflexivity_gt) ).
fof(f271,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f269,f197]) ).
fof(f269,plain,
( gt(n0,n0)
| ~ spl1_2 ),
inference(forward_demodulation,[],[f268,f224]) ).
fof(f268,plain,
( gt(plus(n1,tptp_minus_1),n0)
| ~ spl1_2 ),
inference(forward_demodulation,[],[f261,f255]) ).
fof(f255,plain,
( n0 = sK0
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl1_2
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f256,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f246,f253,f249]) ).
fof(f246,plain,
( n0 = sK0
| gt(sK0,n0) ),
inference(resolution,[],[f128,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.VooQs0zJmj/Vampire---4.8_20425',leq_gt2) ).
fof(f128,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV164+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.12 % 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
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 18:38:14 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32 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.VooQs0zJmj/Vampire---4.8_20425
% 0.61/0.81 % (20540)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)
% 0.61/0.81 % (20537)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)
% 0.61/0.81 % (20539)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (20541)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)
% 0.61/0.81 % (20538)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)
% 0.61/0.81 % (20542)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)
% 0.61/0.81 % (20543)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)
% 0.61/0.81 % (20544)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)
% 0.61/0.81 % (20544)Refutation not found, incomplete strategy% (20544)------------------------------
% 0.61/0.81 % (20544)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (20544)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (20544)Memory used [KB]: 1108
% 0.61/0.81 % (20544)Time elapsed: 0.004 s
% 0.61/0.81 % (20544)Instructions burned: 5 (million)
% 0.61/0.81 % (20544)------------------------------
% 0.61/0.81 % (20544)------------------------------
% 0.61/0.82 % (20543)First to succeed.
% 0.61/0.82 % (20543)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Theorem for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (20543)------------------------------
% 0.61/0.82 % (20543)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (20543)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (20543)Memory used [KB]: 1187
% 0.61/0.82 % (20543)Time elapsed: 0.007 s
% 0.61/0.82 % (20543)Instructions burned: 11 (million)
% 0.61/0.82 % (20543)------------------------------
% 0.61/0.82 % (20543)------------------------------
% 0.61/0.82 % (20534)Success in time 0.487 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------