TSTP Solution File: SWV163+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV163+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n031.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 : Thu Aug 31 23:07:57 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 133 ( 23 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 136 ( 45 ~; 37 |; 39 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 50 (; 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1037,plain,
$false,
inference(avatar_sat_refutation,[],[f730,f747,f1036]) ).
fof(f1036,plain,
~ spl32_30,
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1035,plain,
( $false
| ~ spl32_30 ),
inference(subsumption_resolution,[],[f1025,f268]) ).
fof(f268,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310',irreflexivity_gt) ).
fof(f1025,plain,
( gt(n0,n0)
| ~ spl32_30 ),
inference(resolution,[],[f749,f261]) ).
fof(f261,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310',gt_0_tptp_minus_1) ).
fof(f749,plain,
( ! [X0] :
( ~ gt(X0,tptp_minus_1)
| gt(X0,n0) )
| ~ spl32_30 ),
inference(resolution,[],[f542,f322]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f144]) ).
fof(f144,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/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310',transitivity_gt) ).
fof(f542,plain,
( gt(tptp_minus_1,n0)
| ~ spl32_30 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl32_30
<=> gt(tptp_minus_1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
fof(f747,plain,
~ spl32_29,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f746,plain,
( $false
| ~ spl32_29 ),
inference(subsumption_resolution,[],[f738,f268]) ).
fof(f738,plain,
( gt(n0,n0)
| ~ spl32_29 ),
inference(superposition,[],[f261,f538]) ).
fof(f538,plain,
( n0 = tptp_minus_1
| ~ spl32_29 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl32_29
<=> n0 = tptp_minus_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
fof(f730,plain,
( spl32_30
| spl32_29 ),
inference(avatar_split_clause,[],[f679,f536,f540]) ).
fof(f679,plain,
( n0 = tptp_minus_1
| gt(tptp_minus_1,n0) ),
inference(resolution,[],[f661,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,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/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310',leq_gt2) ).
fof(f661,plain,
leq(n0,tptp_minus_1),
inference(resolution,[],[f530,f230]) ).
fof(f230,plain,
leq(n0,sK4),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( a_select3(q,pv10,sK4) != divide(sqrt(times(minus(a_select3(center,sK4,n0),a_select2(x,pv10)),minus(a_select3(center,sK4,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(sK4,tptp_minus_1)
& leq(n0,sK4)
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f177,f178]) ).
fof(f178,plain,
( ? [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,tptp_minus_1)
& leq(n0,X0) )
=> ( a_select3(q,pv10,sK4) != divide(sqrt(times(minus(a_select3(center,sK4,n0),a_select2(x,pv10)),minus(a_select3(center,sK4,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(sK4,tptp_minus_1)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ? [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,tptp_minus_1)
& leq(n0,X0) )
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X1] :
( a_select3(q,pv10,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))))))
& 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,[],[f116]) ).
fof(f116,plain,
( ? [X1] :
( a_select3(q,pv10,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))))))
& 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,[],[f94]) ).
fof(f94,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(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)))))) ) ),
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(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,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)))))) ) ),
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(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,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)))))) ) ),
file('/export/starexec/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310',cl5_nebula_norm_0013) ).
fof(f530,plain,
! [X0] :
( ~ leq(X0,sK4)
| leq(X0,tptp_minus_1) ),
inference(resolution,[],[f231,f323]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310',transitivity_leq) ).
fof(f231,plain,
leq(sK4,tptp_minus_1),
inference(cnf_transformation,[],[f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV163+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 04:02:40 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.4fq3p5NOTg/Vampire---4.8_6310
% 0.16/0.37 % (6538)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (6546)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.44 % (6544)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (6545)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.44 % (6548)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.44 % (6543)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.44 % (6547)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 % (6549)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.45 % (6543)Refutation not found, incomplete strategy% (6543)------------------------------
% 0.23/0.45 % (6543)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (6543)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (6543)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45 % (6543)Memory used [KB]: 5884
% 0.23/0.45 % (6543)Time elapsed: 0.011 s
% 0.23/0.45 % (6543)------------------------------
% 0.23/0.45 % (6543)------------------------------
% 0.23/0.45 % (6549)First to succeed.
% 0.23/0.45 % (6549)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (6549)------------------------------
% 0.23/0.46 % (6549)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (6549)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (6549)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (6549)Memory used [KB]: 6140
% 0.23/0.46 % (6549)Time elapsed: 0.018 s
% 0.23/0.46 % (6549)------------------------------
% 0.23/0.46 % (6549)------------------------------
% 0.23/0.46 % (6538)Success in time 0.081 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------