TSTP Solution File: SWV216+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV216+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 06:13:49 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 447 ( 414 equ)
% Maximal formula atoms : 110 ( 37 avg)
% Number of connectives : 745 ( 310 ~; 117 |; 311 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 20 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f526,plain,
$false,
inference(trivial_inequality_removal,[],[f456]) ).
fof(f456,plain,
( sK13 != sK13
| sK14 != sK14 ),
inference(definition_unfolding,[],[f272,f286,f285]) ).
fof(f285,plain,
n2 = sK14,
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = sK13
& n2 = sK14
& n2 = sK13
& n1 = sK14
& ( n5 != sK14
| n5 != sK13 )
& ( n5 != sK13
| n4 != sK14 )
& ( n5 != sK14
| n4 != sK13 )
& ( n4 != sK14
| n4 != sK13 )
& ( n5 != sK13
| n3 != sK14 )
& ( n4 != sK13
| n3 != sK14 )
& ( n5 != sK14
| n3 != sK13 )
& ( n4 != sK14
| n3 != sK13 )
& ( n3 != sK14
| n3 != sK13 )
& ( n5 != sK13
| n2 != sK14 )
& ( n4 != sK13
| n2 != sK14 )
& ( n3 != sK13
| n2 != sK14 )
& ( n5 != sK14
| n2 != sK13 )
& ( n4 != sK14
| n2 != sK13 )
& ( n3 != sK14
| n2 != sK13 )
& ( n5 != sK13
| n1 != sK14 )
& ( n5 != sK14
| n1 != sK13 )
& ( n4 != sK14
| n1 != sK13 )
& ( n3 != sK14
| n1 != sK13 )
& ( n5 != sK13
| n0 != sK14 )
& ( n5 != sK14
| n0 != sK13 )
& ( n4 != sK14
| n0 != sK13 )
& ( n3 != sK14
| n0 != sK13 )
& leq(sK14,n5)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f117,f192]) ).
fof(f192,plain,
( ? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = X0
& n2 = X1
& n2 = X0
& n1 = X1
& ( n5 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n4 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n3 != X1
| n3 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n4 != X0
| n2 != X1 )
& ( n3 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n2 != X0 )
& ( n5 != X0
| n1 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n4 != X1
| n1 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n0 != X0 )
& ( n4 != X1
| n0 != X0 )
& ( n3 != X1
| n0 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = sK13
& n2 = sK14
& n2 = sK13
& n1 = sK14
& ( n5 != sK14
| n5 != sK13 )
& ( n5 != sK13
| n4 != sK14 )
& ( n5 != sK14
| n4 != sK13 )
& ( n4 != sK14
| n4 != sK13 )
& ( n5 != sK13
| n3 != sK14 )
& ( n4 != sK13
| n3 != sK14 )
& ( n5 != sK14
| n3 != sK13 )
& ( n4 != sK14
| n3 != sK13 )
& ( n3 != sK14
| n3 != sK13 )
& ( n5 != sK13
| n2 != sK14 )
& ( n4 != sK13
| n2 != sK14 )
& ( n3 != sK13
| n2 != sK14 )
& ( n5 != sK14
| n2 != sK13 )
& ( n4 != sK14
| n2 != sK13 )
& ( n3 != sK14
| n2 != sK13 )
& ( n5 != sK13
| n1 != sK14 )
& ( n5 != sK14
| n1 != sK13 )
& ( n4 != sK14
| n1 != sK13 )
& ( n3 != sK14
| n1 != sK13 )
& ( n5 != sK13
| n0 != sK14 )
& ( n5 != sK14
| n0 != sK13 )
& ( n4 != sK14
| n0 != sK13 )
& ( n3 != sK14
| n0 != sK13 )
& leq(sK14,n5)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = X0
& n2 = X1
& n2 = X0
& n1 = X1
& ( n5 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n4 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n3 != X1
| n3 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n4 != X0
| n2 != X1 )
& ( n3 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n2 != X0 )
& ( n5 != X0
| n1 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n4 != X1
| n1 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n0 != X0 )
& ( n4 != X1
| n0 != X0 )
& ( n3 != X1
| n0 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = X0
& n2 = X1
& n2 = X0
& n1 = X1
& ( n5 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n4 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n3 != X1
| n3 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n4 != X0
| n2 != X1 )
& ( n3 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n2 != X0 )
& ( n5 != X0
| n1 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n4 != X1
| n1 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n0 != X0 )
& ( n4 != X1
| n0 != X0 )
& ( n3 != X1
| n0 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( n4 = X0
& n2 = X1
& n2 = X0
& n1 = X1
& ~ ( n5 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n5 = X1
& n4 = X0 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n3 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n3 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n4 = X0
& n2 = X1 )
& ~ ( n3 = X0
& n2 = X1 )
& ~ ( n5 = X1
& n2 = X0 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n5 = X1
& n0 = X0 )
& ~ ( n4 = X1
& n0 = X0 )
& ~ ( n3 = X1
& n0 = X0 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( n4 = X13
& n2 = X17
& n2 = X13
& n1 = X17
& ~ ( n5 = X17
& n5 = X13 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n3 = X13 )
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n4 = X17
& n2 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n1 = X13 )
& ~ ( n4 = X17
& n1 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n5 = X17
& n0 = X13 )
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n3 = X17
& n0 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( n4 = X13
& n2 = X17
& n2 = X13
& n1 = X17
& ~ ( n5 = X17
& n5 = X13 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n3 = X13 )
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n4 = X17
& n2 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n1 = X13 )
& ~ ( n4 = X17
& n1 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n5 = X17
& n0 = X13 )
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n3 = X17
& n0 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0201) ).
fof(f286,plain,
n4 = sK13,
inference(cnf_transformation,[],[f193]) ).
fof(f272,plain,
( n4 != sK13
| n2 != sK14 ),
inference(cnf_transformation,[],[f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV216+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 07:10:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (4295)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (4299)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (4298)WARNING: value z3 for option sas not known
% 0.15/0.38 % (4297)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (4296)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (4300)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 theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (4298)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 theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (4301)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 theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (4302)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 theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (4300)First to succeed.
% 0.15/0.38 % (4300)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4295"
% 0.15/0.39 % (4300)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (4300)------------------------------
% 0.15/0.39 % (4300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (4300)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (4300)Memory used [KB]: 992
% 0.15/0.39 % (4300)Time elapsed: 0.007 s
% 0.15/0.39 % (4300)Instructions burned: 11 (million)
% 0.15/0.39 % (4295)Success in time 0.017 s
%------------------------------------------------------------------------------