TSTP Solution File: SWV210+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 Apr 30 16:42:15 EDT 2024
% Result : Theorem 7.15s 1.40s
% Output : Refutation 7.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 325 ( 217 equ)
% Maximal formula atoms : 42 ( 17 avg)
% Number of connectives : 358 ( 52 ~; 42 |; 251 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 46 ( 38 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30988,plain,
$false,
inference(subsumption_resolution,[],[f30987,f288]) ).
fof(f288,plain,
leq(sK13,n2),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( use != a_select3(z_defuse,sK13,sK14)
& leq(sK14,n998)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13)
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f192,f193]) ).
fof(f193,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use != a_select3(z_defuse,sK13,sK14)
& leq(sK14,n998)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> use = a_select3(z_defuse,X0,X1) )
& ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> use = a_select3(u_defuse,X2,X3) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X4,X5] :
( ( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> use = a_select3(z_defuse,X4,X5) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,n998)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,n998)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X21,n998)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> use = a_select3(z_defuse,X20,X21) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,n998)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,n998)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X21,n998)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> use = a_select3(z_defuse,X20,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0021) ).
fof(f30987,plain,
~ leq(sK13,n2),
inference(subsumption_resolution,[],[f30895,f290]) ).
fof(f290,plain,
use != a_select3(z_defuse,sK13,sK14),
inference(cnf_transformation,[],[f194]) ).
fof(f30895,plain,
( use = a_select3(z_defuse,sK13,sK14)
| ~ leq(sK13,n2) ),
inference(resolution,[],[f11082,f286]) ).
fof(f286,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f11082,plain,
! [X0] :
( ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK14)
| ~ leq(X0,n2) ),
inference(subsumption_resolution,[],[f11015,f289]) ).
fof(f289,plain,
leq(sK14,n998),
inference(cnf_transformation,[],[f194]) ).
fof(f11015,plain,
! [X0] :
( ~ leq(sK14,n998)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK14)
| ~ leq(n0,X0) ),
inference(resolution,[],[f285,f287]) ).
fof(f287,plain,
leq(n0,sK14),
inference(cnf_transformation,[],[f194]) ).
fof(f285,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| use = a_select3(z_defuse,X2,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n025.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 : Tue Apr 30 04:51:26 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (15718)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (15721)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15719)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15722)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15720)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 % (15721)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 % (15723)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 % (15725)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 % (15724)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)
% 0.21/0.49 TRYING [1]
% 0.21/0.50 TRYING [2]
% 1.34/0.60 TRYING [3]
% 5.61/1.20 TRYING [4]
% 7.15/1.40 % (15721)First to succeed.
% 7.15/1.40 % (15721)Refutation found. Thanks to Tanya!
% 7.15/1.40 % SZS status Theorem for theBenchmark
% 7.15/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 7.15/1.40 % (15721)------------------------------
% 7.15/1.40 % (15721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.15/1.40 % (15721)Termination reason: Refutation
% 7.15/1.40
% 7.15/1.40 % (15721)Memory used [KB]: 31716
% 7.15/1.40 % (15721)Time elapsed: 1.021 s
% 7.15/1.40 % (15721)Instructions burned: 2675 (million)
% 7.15/1.40 % (15721)------------------------------
% 7.15/1.40 % (15721)------------------------------
% 7.15/1.40 % (15718)Success in time 1.005 s
%------------------------------------------------------------------------------