TSTP Solution File: SWV232+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV232+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 : Sat Sep 2 12:56:28 EDT 2023
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 248 ( 183 equ)
% Maximal formula atoms : 46 ( 19 avg)
% Number of connectives : 367 ( 132 ~; 59 |; 163 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 28 (; 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f444,plain,
$false,
inference(subsumption_resolution,[],[f443,f269]) ).
fof(f269,plain,
n1 = sK15,
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( n0 != a_select2(rho,n1)
& n2 = sK14
& n1 = sK15
& n1 = sK14
& n0 = sK15
& ( n2 != sK15
| n2 != sK14 )
& ( n2 != sK14
| n1 != sK15 )
& ( n2 != sK15
| n1 != sK14 )
& ( n1 != sK15
| n1 != sK14 )
& ( n2 != sK14
| n0 != sK15 )
& ( n2 != sK15
| n0 != sK14 )
& ( n1 != sK15
| n0 != sK14 )
& leq(sK15,n2)
& leq(sK14,n2)
& leq(n0,sK15)
& leq(n0,sK14)
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f186,f187]) ).
fof(f187,plain,
( ? [X0,X1] :
( n0 != a_select2(rho,n1)
& n2 = X0
& n1 = X1
& n1 = X0
& n0 = X1
& ( n2 != X1
| n2 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n2 != X1
| n1 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n0 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n1 != X1
| n0 != X0 )
& leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( n0 != a_select2(rho,n1)
& n2 = sK14
& n1 = sK15
& n1 = sK14
& n0 = sK15
& ( n2 != sK15
| n2 != sK14 )
& ( n2 != sK14
| n1 != sK15 )
& ( n2 != sK15
| n1 != sK14 )
& ( n1 != sK15
| n1 != sK14 )
& ( n2 != sK14
| n0 != sK15 )
& ( n2 != sK15
| n0 != sK14 )
& ( n1 != sK15
| n0 != sK14 )
& leq(sK15,n2)
& leq(sK14,n2)
& leq(n0,sK15)
& leq(n0,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X0,X1] :
( n0 != a_select2(rho,n1)
& n2 = X0
& n1 = X1
& n1 = X0
& n0 = X1
& ( n2 != X1
| n2 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n2 != X1
| n1 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n0 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n1 != X1
| n0 != X0 )
& leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ? [X2,X3] :
( n0 != a_select2(rho,n1)
& n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ( n2 != X3
| n2 != X2 )
& ( n2 != X2
| n1 != X3 )
& ( n2 != X3
| n1 != X2 )
& ( n1 != X3
| n1 != X2 )
& ( n2 != X2
| n0 != X3 )
& ( n2 != X3
| n0 != X2 )
& ( n1 != X3
| n0 != X2 )
& leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ? [X2,X3] :
( n0 != a_select2(rho,n1)
& n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ( n2 != X3
| n2 != X2 )
& ( n2 != X2
| n1 != X3 )
& ( n2 != X3
| n1 != X2 )
& ( n1 != X3
| n1 != X2 )
& ( n2 != X2
| n0 != X3 )
& ( n2 != X3
| n0 != X2 )
& ( n1 != X3
| n0 != X2 )
& leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
=> ! [X2,X3] :
( ( leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( ( n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ~ ( n2 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n1 = X3 )
& ~ ( n2 = X3
& n1 = X2 )
& ~ ( n1 = X3
& n1 = X2 )
& ~ ( n2 = X2
& n0 = X3 )
& ~ ( n2 = X3
& n0 = X2 )
& ~ ( n1 = X3
& n0 = X2 ) )
=> n0 = a_select2(rho,n1) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
=> ! [X3,X19] :
( ( leq(X19,n2)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( ( n2 = X3
& n1 = X19
& n1 = X3
& n0 = X19
& ~ ( n2 = X19
& n2 = X3 )
& ~ ( n2 = X3
& n1 = X19 )
& ~ ( n2 = X19
& n1 = X3 )
& ~ ( n1 = X19
& n1 = X3 )
& ~ ( n2 = X3
& n0 = X19 )
& ~ ( n2 = X19
& n0 = X3 )
& ~ ( n1 = X19
& n0 = X3 ) )
=> n0 = a_select2(rho,n1) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
=> ! [X3,X19] :
( ( leq(X19,n2)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( ( n2 = X3
& n1 = X19
& n1 = X3
& n0 = X19
& ~ ( n2 = X19
& n2 = X3 )
& ~ ( n2 = X3
& n1 = X19 )
& ~ ( n2 = X19
& n1 = X3 )
& ~ ( n1 = X19
& n1 = X3 )
& ~ ( n2 = X3
& n0 = X19 )
& ~ ( n2 = X19
& n0 = X3 )
& ~ ( n1 = X19
& n0 = X3 ) )
=> n0 = a_select2(rho,n1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wnUol4W2Jc/Vampire---4.8_19490',quaternion_ds1_symm_0841) ).
fof(f443,plain,
n1 != sK15,
inference(subsumption_resolution,[],[f265,f270]) ).
fof(f270,plain,
n2 = sK14,
inference(cnf_transformation,[],[f188]) ).
fof(f265,plain,
( n2 != sK14
| n1 != sK15 ),
inference(cnf_transformation,[],[f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 18:08:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.40 % (19597)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.41 % (19598)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.13/0.41 % (19601)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.13/0.41 % (19604)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.13/0.41 % (19599)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.13/0.41 % (19602)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.13/0.41 % (19600)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.13/0.41 % (19603)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.18/0.41 % (19604)First to succeed.
% 0.18/0.41 % (19604)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Theorem for Vampire---4
% 0.18/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.41 % (19604)------------------------------
% 0.18/0.41 % (19604)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.41 % (19604)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.41 % (19604)Termination reason: Refutation
% 0.18/0.41
% 0.18/0.41 % (19604)Memory used [KB]: 1151
% 0.18/0.41 % (19604)Time elapsed: 0.005 s
% 0.18/0.41 % (19604)------------------------------
% 0.18/0.41 % (19604)------------------------------
% 0.18/0.41 % (19597)Success in time 0.062 s
% 0.18/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------