TSTP Solution File: SWV046+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV046+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 : Tue May 21 05:53:43 EDT 2024
% Result : Theorem 0.44s 0.76s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 28 unt; 0 def)
% Number of atoms : 115 ( 55 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 101 ( 35 ~; 28 |; 26 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 15 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f519,plain,
$false,
inference(avatar_sat_refutation,[],[f444,f446,f447,f448,f449,f514,f518]) ).
fof(f518,plain,
spl31_4,
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| spl31_4 ),
inference(resolution,[],[f434,f331]) ).
fof(f331,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
fof(f434,plain,
( ~ true
| spl31_4 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl31_4
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f514,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| spl31_5 ),
inference(trivial_inequality_removal,[],[f512]) ).
fof(f512,plain,
( n0 != n0
| spl31_5 ),
inference(superposition,[],[f505,f299]) ).
fof(f299,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f505,plain,
( n0 != sum(n0,tptp_minus_1,times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))
| spl31_5 ),
inference(superposition,[],[f438,f503]) ).
fof(f503,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f396,f386]) ).
fof(f386,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f301,f302]) ).
fof(f302,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f301,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f396,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f313,f312,f302]) ).
fof(f312,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f313,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).
fof(f438,plain,
( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))
| spl31_5 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl31_5
<=> n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f449,plain,
spl31_1,
inference(avatar_split_clause,[],[f333,f420]) ).
fof(f420,plain,
( spl31_1
<=> pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f333,plain,
pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( ( ~ true
& n0 = pv44 )
| ( ( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) )
& n0 != pv44 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
( ( ( ~ true
& n0 = pv44 )
| ( ( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) )
& n0 != pv44 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv44
=> true )
& ( n0 != pv44
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv44
=> true )
& ( n0 != pv44
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0010) ).
fof(f448,plain,
spl31_2,
inference(avatar_split_clause,[],[f335,f424]) ).
fof(f424,plain,
( spl31_2
<=> leq(n0,pv35) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f335,plain,
leq(n0,pv35),
inference(cnf_transformation,[],[f155]) ).
fof(f447,plain,
spl31_3,
inference(avatar_split_clause,[],[f336,f428]) ).
fof(f428,plain,
( spl31_3
<=> leq(pv35,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f336,plain,
leq(pv35,minus(n5,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f446,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_6
| ~ spl31_5 ),
inference(avatar_split_clause,[],[f445,f436,f441,f428,f424,f420]) ).
fof(f441,plain,
( spl31_6
<=> n0 = pv44 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f445,plain,
( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))
| n0 = pv44
| ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(forward_demodulation,[],[f338,f326]) ).
fof(f326,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f338,plain,
( n0 = pv44
| ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f444,plain,
( ~ spl31_6
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f339,f432,f441]) ).
fof(f339,plain,
( ~ true
| n0 != pv44 ),
inference(cnf_transformation,[],[f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : SWV046+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.09/0.19 % 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
% 0.10/0.42 % Computer : n026.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8042.1875MB
% 0.10/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Sun May 19 06:24:08 EDT 2024
% 0.10/0.42 % CPUTime :
% 0.10/0.42 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.42 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/benchmark/theBenchmark.p
% 0.38/0.74 % (14239)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.38/0.75 % (14236)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 theBenchmark for (2996ds/34Mi)
% 0.38/0.75 % (14233)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 theBenchmark for (2996ds/51Mi)
% 0.38/0.75 % (14237)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.38/0.75 % (14232)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 theBenchmark for (2996ds/34Mi)
% 0.38/0.75 % (14235)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.44/0.75 % (14238)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 theBenchmark for (2996ds/83Mi)
% 0.44/0.75 % (14233)First to succeed.
% 0.44/0.76 % (14233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14231"
% 0.44/0.76 % (14233)Refutation found. Thanks to Tanya!
% 0.44/0.76 % SZS status Theorem for theBenchmark
% 0.44/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.76 % (14233)------------------------------
% 0.44/0.76 % (14233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.76 % (14233)Termination reason: Refutation
% 0.44/0.76
% 0.44/0.76 % (14233)Memory used [KB]: 1340
% 0.44/0.76 % (14233)Time elapsed: 0.010 s
% 0.44/0.76 % (14233)Instructions burned: 23 (million)
% 0.44/0.76 % (14231)Success in time 0.322 s
% 0.44/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------