TSTP Solution File: ANA003-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 : Wed Aug 30 17:22:57 EDT 2023
% Result : Unsatisfiable 20.73s 3.34s
% Output : Refutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 170 ( 95 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19119,plain,
$false,
inference(subsumption_resolution,[],[f15,f19104]) ).
fof(f19104,plain,
~ less_than(n0,b),
inference(resolution,[],[f19096,f10]) ).
fof(f10,axiom,
! [X3] :
( less_than(n0,half(X3))
| ~ less_than(n0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',axiom_7) ).
fof(f19096,plain,
~ less_than(n0,half(b)),
inference(duplicate_literal_removal,[],[f19094]) ).
fof(f19094,plain,
( ~ less_than(n0,half(b))
| ~ less_than(n0,half(b)) ),
inference(resolution,[],[f19086,f11]) ).
fof(f11,axiom,
! [X0] :
( less_than(n0,fp31(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_10) ).
fof(f19086,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,half(b)) ),
inference(duplicate_literal_removal,[],[f19084]) ).
fof(f19084,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(n0,half(b)) ),
inference(resolution,[],[f19077,f13]) ).
fof(f13,axiom,
! [X0] :
( less_than(n0,fp32(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_12) ).
fof(f19077,plain,
( ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,half(b)) ),
inference(duplicate_literal_removal,[],[f19075]) ).
fof(f19075,plain,
( ~ less_than(n0,half(b))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b))) ),
inference(resolution,[],[f19068,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( less_than(n0,minimum(X0,X1))
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',axiom_2_1) ).
fof(f19068,plain,
( ~ less_than(n0,minimum(fp32(half(b)),fp31(half(b))))
| ~ less_than(n0,half(b))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b))) ),
inference(duplicate_literal_removal,[],[f19066]) ).
fof(f19066,plain,
( ~ less_than(n0,minimum(fp32(half(b)),fp31(half(b))))
| ~ less_than(n0,half(b))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b))) ),
inference(resolution,[],[f18493,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( less_than(minimum(X0,X1),X1)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',axiom_2_3) ).
fof(f18493,plain,
! [X4] :
( ~ less_than(minimum(fp32(half(b)),X4),fp31(half(b)))
| ~ less_than(n0,minimum(fp32(half(b)),X4))
| ~ less_than(n0,half(b))
| ~ less_than(n0,X4)
| ~ less_than(n0,fp32(half(b))) ),
inference(resolution,[],[f18475,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( less_than(minimum(X0,X1),X0)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',axiom_2_2) ).
fof(f18475,plain,
! [X0] :
( ~ less_than(X0,fp32(half(b)))
| ~ less_than(n0,X0)
| ~ less_than(X0,fp31(half(b)))
| ~ less_than(n0,half(b)) ),
inference(duplicate_literal_removal,[],[f18469]) ).
fof(f18469,plain,
! [X0] :
( ~ less_than(X0,fp32(half(b)))
| ~ less_than(n0,X0)
| ~ less_than(X0,fp31(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f18467,f16]) ).
fof(f16,axiom,
! [X0] :
( less_than(absolute(add(fp33(X0),minus(a))),X0)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_15) ).
fof(f18467,plain,
! [X2,X1] :
( ~ less_than(absolute(add(fp33(X1),minus(a))),X2)
| ~ less_than(X2,fp32(half(b)))
| ~ less_than(n0,X1)
| ~ less_than(X2,fp31(half(b)))
| ~ less_than(n0,half(b)) ),
inference(factoring,[],[f2875]) ).
fof(f2875,plain,
! [X10,X11,X12] :
( ~ less_than(absolute(add(fp33(X11),minus(a))),X12)
| ~ less_than(X10,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X11),minus(a))),X10)
| ~ less_than(n0,X11)
| ~ less_than(X12,fp31(half(b)))
| ~ less_than(n0,half(b)) ),
inference(resolution,[],[f916,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',transitivity_of_less_than) ).
fof(f916,plain,
! [X0,X1] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp31(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(X1,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X0),minus(a))),X1)
| ~ less_than(n0,X0) ),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f912,plain,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(n0,half(b))
| ~ less_than(X1,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X0),minus(a))),X1)
| ~ less_than(absolute(add(fp33(X0),minus(a))),fp31(half(b)))
| ~ less_than(n0,half(b)) ),
inference(resolution,[],[f247,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( less_than(absolute(add(f(X1),minus(l1))),X0)
| ~ less_than(absolute(add(X1,minus(a))),fp31(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_11) ).
fof(f247,plain,
! [X2,X1] :
( ~ less_than(absolute(add(f(fp33(X1)),minus(l1))),half(b))
| ~ less_than(n0,X1)
| ~ less_than(n0,half(b))
| ~ less_than(X2,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X1),minus(a))),X2) ),
inference(resolution,[],[f63,f4]) ).
fof(f63,plain,
! [X0] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(n0,X0)
| ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(n0,half(b)) ),
inference(resolution,[],[f41,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( less_than(absolute(add(g(X1),minus(l2))),X0)
| ~ less_than(absolute(add(X1,minus(a))),fp32(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_13) ).
fof(f41,plain,
! [X0] :
( ~ less_than(absolute(add(g(fp33(X0)),minus(l2))),half(b))
| ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f8,f17]) ).
fof(f17,axiom,
! [X0] :
( ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(g(fp33(X0)),minus(l2)))),b)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_16) ).
fof(f8,axiom,
! [X3,X0,X1] :
( less_than(add(X0,X1),X3)
| ~ less_than(X1,half(X3))
| ~ less_than(X0,half(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',axiom_3) ).
fof(f15,axiom,
less_than(n0,b),
file('/export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964',c_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.36 % Computer : n026.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Fri Aug 25 19:04:33 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.18/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.dCuB5WzZ4J/Vampire---4.8_30964
% 0.18/0.37 % (31071)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (31079)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43 % (31075)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43 % (31072)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43 % (31081)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43 % (31077)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (31074)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43 % (31073)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 20.73/3.34 % (31073)First to succeed.
% 20.73/3.34 % (31073)Refutation found. Thanks to Tanya!
% 20.73/3.34 % SZS status Unsatisfiable for Vampire---4
% 20.73/3.34 % SZS output start Proof for Vampire---4
% See solution above
% 20.73/3.34 % (31073)------------------------------
% 20.73/3.34 % (31073)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 20.73/3.34 % (31073)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 20.73/3.34 % (31073)Termination reason: Refutation
% 20.73/3.34
% 20.73/3.34 % (31073)Memory used [KB]: 26353
% 20.73/3.34 % (31073)Time elapsed: 2.909 s
% 20.73/3.34 % (31073)------------------------------
% 20.73/3.34 % (31073)------------------------------
% 20.73/3.35 % (31071)Success in time 2.964 s
% 20.73/3.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------