TSTP Solution File: SWV155+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV155+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.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 Aug 31 18:44:21 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 132 ( 45 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 156 ( 44 ~; 23 |; 73 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(subsumption_resolution,[],[f222,f196]) ).
fof(f196,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(pv12,n4)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X1] :
( ~ leq(n0,X1)
| divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
| ~ leq(X1,pred(pv12)) )
& leq(n0,pv12)
& leq(n0,pv10)
& pv10 != sK0
& n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
& leq(sK0,pred(pv10))
& leq(n0,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f136,f137]) ).
fof(f137,plain,
( ? [X2] :
( pv10 != X2
& n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 != sK0
& n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
& leq(sK0,pred(pv10))
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(pv12,n4)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X1] :
( ~ leq(n0,X1)
| divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
| ~ leq(X1,pred(pv12)) )
& leq(n0,pv12)
& leq(n0,pv10)
& ? [X2] :
( pv10 != X2
& n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& leq(X2,pred(pv10))
& leq(n0,X2) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(pv12,n4)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X0] :
( ~ leq(n0,X0)
| a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X0,pred(pv12)) )
& leq(n0,pv12)
& leq(n0,pv10)
& ? [X2] :
( pv10 != X2
& n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& leq(X2,pred(pv10))
& leq(n0,X2) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ? [X2] :
( n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10))
& leq(n0,X2) )
& leq(n0,pv12)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X0] :
( a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv12)) )
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( leq(n0,pv12)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv12)) )
=> a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X2] :
( ( leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 != X2
=> n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index)) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv10,n135299)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv12)) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(n0,pv12)
& leq(n0,pv10) )
=> ! [X3] :
( ( leq(X3,pred(pv10))
& leq(n0,X3) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv10,n135299)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv12)) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(n0,pv12)
& leq(n0,pv10) )
=> ! [X3] :
( ( leq(X3,pred(pv10))
& leq(n0,X3) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0005) ).
fof(f222,plain,
~ leq(n0,sK0),
inference(subsumption_resolution,[],[f221,f219]) ).
fof(f219,plain,
leq(sK0,minus(pv10,n1)),
inference(definition_unfolding,[],[f197,f180]) ).
fof(f180,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(f197,plain,
leq(sK0,pred(pv10)),
inference(cnf_transformation,[],[f138]) ).
fof(f221,plain,
( ~ leq(sK0,minus(pv10,n1))
| ~ leq(n0,sK0) ),
inference(trivial_inequality_removal,[],[f220]) ).
fof(f220,plain,
( n1 != n1
| ~ leq(n0,sK0)
| ~ leq(sK0,minus(pv10,n1)) ),
inference(superposition,[],[f198,f217]) ).
fof(f217,plain,
! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv10,n1)) ),
inference(definition_unfolding,[],[f206,f180]) ).
fof(f206,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f198,plain,
n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index)),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV155+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:49:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (9415)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (9421)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9422)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (9408)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (9420)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52 % (9432)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (9409)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (9414)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (9422)Instruction limit reached!
% 0.19/0.53 % (9422)------------------------------
% 0.19/0.53 % (9422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9422)Termination reason: Unknown
% 0.19/0.53 % (9422)Termination phase: Clausification
% 0.19/0.53
% 0.19/0.53 % (9422)Memory used [KB]: 1663
% 0.19/0.53 % (9422)Time elapsed: 0.005 s
% 0.19/0.53 % (9422)Instructions burned: 5 (million)
% 0.19/0.53 % (9422)------------------------------
% 0.19/0.53 % (9422)------------------------------
% 0.19/0.53 % (9430)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (9410)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (9411)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (9416)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (9435)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (9434)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (9426)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (9413)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (9417)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (9418)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (9414)First to succeed.
% 0.19/0.54 % (9436)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (9412)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.54 % (9418)Also succeeded, but the first one will report.
% 0.19/0.54 % (9424)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (9426)Instruction limit reached!
% 0.19/0.54 % (9426)------------------------------
% 0.19/0.54 % (9426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9426)Termination reason: Unknown
% 0.19/0.54 % (9426)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (9426)Memory used [KB]: 1535
% 0.19/0.54 % (9426)Time elapsed: 0.004 s
% 0.19/0.54 % (9426)Instructions burned: 4 (million)
% 0.19/0.54 % (9426)------------------------------
% 0.19/0.54 % (9426)------------------------------
% 0.19/0.54 % (9414)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (9414)------------------------------
% 0.19/0.54 % (9414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9414)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (9414)Memory used [KB]: 6012
% 0.19/0.54 % (9414)Time elapsed: 0.094 s
% 0.19/0.54 % (9414)Instructions burned: 5 (million)
% 0.19/0.54 % (9414)------------------------------
% 0.19/0.54 % (9414)------------------------------
% 0.19/0.54 % (9407)Success in time 0.19 s
%------------------------------------------------------------------------------