TSTP Solution File: SWV230+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV230+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 : n006.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 06:13:58 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 320 ( 227 equ)
% Maximal formula atoms : 54 ( 24 avg)
% Number of connectives : 486 ( 179 ~; 88 |; 203 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f492,plain,
$false,
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( sK13 != sK13
| sK14 != sK14 ),
inference(definition_unfolding,[],[f263,f268,f267]) ).
fof(f267,plain,
n4 = sK14,
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( n0 != a_select2(xinit_noise,n4)
& n5 = sK13
& n4 = sK14
& n4 = sK13
& n1 = sK14
& ( n5 != sK14
| n5 != sK13 )
& ( n5 != sK13
| n4 != sK14 )
& ( n5 != sK14
| n4 != sK13 )
& ( n5 != sK13
| n3 != sK14 )
& ( n5 != sK14
| n3 != sK13 )
& ( n5 != sK13
| n2 != sK14 )
& ( n5 != sK14
| n2 != sK13 )
& ( n5 != sK14
| n1 != sK13 )
& ( n5 != sK14
| n0 != sK13 )
& leq(sK14,n5)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13)
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f185,f186]) ).
fof(f186,plain,
( ? [X0,X1] :
( n0 != a_select2(xinit_noise,n4)
& n5 = X0
& n4 = X1
& n4 = X0
& n1 = X1
& ( n5 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n5 != X1
| n1 != X0 )
& ( n5 != X1
| n0 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( n0 != a_select2(xinit_noise,n4)
& n5 = sK13
& n4 = sK14
& n4 = sK13
& n1 = sK14
& ( n5 != sK14
| n5 != sK13 )
& ( n5 != sK13
| n4 != sK14 )
& ( n5 != sK14
| n4 != sK13 )
& ( n5 != sK13
| n3 != sK14 )
& ( n5 != sK14
| n3 != sK13 )
& ( n5 != sK13
| n2 != sK14 )
& ( n5 != sK14
| n2 != sK13 )
& ( n5 != sK14
| n1 != sK13 )
& ( n5 != sK14
| n0 != sK13 )
& leq(sK14,n5)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X0,X1] :
( n0 != a_select2(xinit_noise,n4)
& n5 = X0
& n4 = X1
& n4 = X0
& n1 = X1
& ( n5 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n5 != X1
| n1 != X0 )
& ( n5 != X1
| n0 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
( ? [X4,X5] :
( n0 != a_select2(xinit_noise,n4)
& n5 = X4
& n4 = X5
& n4 = X4
& n1 = X5
& ( n5 != X5
| n5 != X4 )
& ( n5 != X4
| n4 != X5 )
& ( n5 != X5
| n4 != X4 )
& ( n5 != X4
| n3 != X5 )
& ( n5 != X5
| n3 != X4 )
& ( n5 != X4
| n2 != X5 )
& ( n5 != X5
| n2 != X4 )
& ( n5 != X5
| n1 != X4 )
& ( n5 != X5
| n0 != X4 )
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,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(flattening,[],[f109]) ).
fof(f109,plain,
( ? [X4,X5] :
( n0 != a_select2(xinit_noise,n4)
& n5 = X4
& n4 = X5
& n4 = X4
& n1 = X5
& ( n5 != X5
| n5 != X4 )
& ( n5 != X4
| n4 != X5 )
& ( n5 != X5
| n4 != X4 )
& ( n5 != X4
| n3 != X5 )
& ( n5 != X5
| n3 != X4 )
& ( n5 != X4
| n2 != X5 )
& ( n5 != X5
| n2 != X4 )
& ( n5 != X5
| n1 != X4 )
& ( n5 != X5
| n0 != X4 )
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,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(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ) )
=> ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( n5 = X4
& n4 = X5
& n4 = X4
& n1 = X5
& ~ ( n5 = X5
& n5 = X4 )
& ~ ( n5 = X4
& n4 = X5 )
& ~ ( n5 = X5
& n4 = X4 )
& ~ ( n5 = X4
& n3 = X5 )
& ~ ( n5 = X5
& n3 = X4 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n5 = X5
& n2 = X4 )
& ~ ( n5 = X5
& n1 = X4 )
& ~ ( n5 = X5
& n0 = X4 ) )
=> n0 = a_select2(xinit_noise,n4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,n2)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [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) ) )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( n5 = X20
& n4 = X21
& n4 = X20
& n1 = X21
& ~ ( n5 = X21
& n5 = X20 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n5 = X21
& n4 = X20 )
& ~ ( n5 = X20
& n3 = X21 )
& ~ ( n5 = X21
& n3 = X20 )
& ~ ( n5 = X20
& n2 = X21 )
& ~ ( n5 = X21
& n2 = X20 )
& ~ ( n5 = X21
& n1 = X20 )
& ~ ( n5 = X21
& n0 = X20 ) )
=> n0 = a_select2(xinit_noise,n4) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,n2)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [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) ) )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( n5 = X20
& n4 = X21
& n4 = X20
& n1 = X21
& ~ ( n5 = X21
& n5 = X20 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n5 = X21
& n4 = X20 )
& ~ ( n5 = X20
& n3 = X21 )
& ~ ( n5 = X21
& n3 = X20 )
& ~ ( n5 = X20
& n2 = X21 )
& ~ ( n5 = X21
& n2 = X20 )
& ~ ( n5 = X21
& n1 = X20 )
& ~ ( n5 = X21
& n0 = X20 ) )
=> n0 = a_select2(xinit_noise,n4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0761) ).
fof(f268,plain,
n5 = sK13,
inference(cnf_transformation,[],[f187]) ).
fof(f263,plain,
( n5 != sK13
| n4 != sK14 ),
inference(cnf_transformation,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SWV230+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.12/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 06:48:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (7943)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (7946)WARNING: value z3 for option sas not known
% 0.18/0.35 % (7944)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % (7945)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (7948)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)
% 0.18/0.36 % (7947)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (7950)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)
% 0.18/0.36 % (7949)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)
% 0.18/0.36 % (7946)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)
% 0.18/0.36 % (7948)First to succeed.
% 0.18/0.36 % (7948)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7943"
% 0.18/0.36 % (7948)Refutation found. Thanks to Tanya!
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.36 % (7948)------------------------------
% 0.18/0.36 % (7948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.36 % (7948)Termination reason: Refutation
% 0.18/0.36
% 0.18/0.36 % (7948)Memory used [KB]: 984
% 0.18/0.36 % (7948)Time elapsed: 0.007 s
% 0.18/0.36 % (7948)Instructions burned: 10 (million)
% 0.18/0.36 % (7943)Success in time 0.028 s
%------------------------------------------------------------------------------