TSTP Solution File: SWV210+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV210+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 31 18:44:30 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 315 ( 214 equ)
% Maximal formula atoms : 42 ( 21 avg)
% Number of connectives : 345 ( 45 ~; 36 |; 251 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 16 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 : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257,plain,
$false,
inference(unit_resulting_resolution,[],[f170,f172,f169,f173,f171,f159]) ).
fof(f159,plain,
! [X4,X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n2)
| use = a_select3(z_defuse,X5,X4)
| ~ leq(X4,n998)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& ! [X0,X1] :
( use = a_select3(u_defuse,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,n998) )
& use = a_select2(sigma_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& leq(sK0,n2)
& leq(sK1,n998)
& use != a_select3(z_defuse,sK0,sK1)
& leq(n0,sK1)
& leq(n0,sK0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& ! [X4,X5] :
( ~ leq(X4,n998)
| ~ leq(n0,X4)
| ~ leq(X5,n2)
| ~ leq(n0,X5)
| use = a_select3(z_defuse,X5,X4) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f125,f126]) ).
fof(f126,plain,
( ? [X2,X3] :
( leq(X2,n2)
& leq(X3,n998)
& use != a_select3(z_defuse,X2,X3)
& leq(n0,X3)
& leq(n0,X2) )
=> ( leq(sK0,n2)
& leq(sK1,n998)
& use != a_select3(z_defuse,sK0,sK1)
& leq(n0,sK1)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& ! [X0,X1] :
( use = a_select3(u_defuse,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,n998) )
& use = a_select2(sigma_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ? [X2,X3] :
( leq(X2,n2)
& leq(X3,n998)
& use != a_select3(z_defuse,X2,X3)
& leq(n0,X3)
& leq(n0,X2) )
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& ! [X4,X5] :
( ~ leq(X4,n998)
| ~ leq(n0,X4)
| ~ leq(X5,n2)
| ~ leq(n0,X5)
| use = a_select3(z_defuse,X5,X4) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& ! [X1,X0] :
( use = a_select3(u_defuse,X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(X1,n998) )
& use = a_select2(sigma_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ? [X4,X5] :
( leq(X4,n2)
& leq(X5,n998)
& use != a_select3(z_defuse,X4,X5)
& leq(n0,X5)
& leq(n0,X4) )
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& ! [X3,X2] :
( ~ leq(X3,n998)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(n0,X2)
| use = a_select3(z_defuse,X2,X3) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ? [X5,X4] :
( use != a_select3(z_defuse,X4,X5)
& leq(X4,n2)
& leq(n0,X5)
& leq(X5,n998)
& leq(n0,X4) )
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_defuse,n5)
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(X3,n998) )
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n2)
& ! [X0,X1] :
( use = a_select3(u_defuse,X0,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2) )
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_defuse,n5)
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(X2,n2)
& leq(n0,X3)
& leq(X3,n998) )
=> use = a_select3(z_defuse,X2,X3) )
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n2)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X1,n998)
& leq(X0,n2) )
=> use = a_select3(u_defuse,X0,X1) )
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2) )
=> ! [X5,X4] :
( ( leq(X4,n2)
& leq(n0,X5)
& leq(X5,n998)
& leq(n0,X4) )
=> use = a_select3(z_defuse,X4,X5) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n4)
& ! [X13,X17] :
( ( leq(n0,X13)
& leq(X17,n998)
& leq(n0,X17)
& leq(X13,n2) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& ! [X3,X19] :
( ( leq(n0,X19)
& leq(X19,n998)
& leq(n0,X3)
& leq(X3,n2) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1) )
=> ! [X20,X21] :
( ( leq(X20,n2)
& leq(n0,X20)
& leq(n0,X21)
& leq(X21,n998) )
=> use = a_select3(z_defuse,X20,X21) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n4)
& ! [X13,X17] :
( ( leq(n0,X13)
& leq(X17,n998)
& leq(n0,X17)
& leq(X13,n2) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& ! [X3,X19] :
( ( leq(n0,X19)
& leq(X19,n998)
& leq(n0,X3)
& leq(X3,n2) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1) )
=> ! [X20,X21] :
( ( leq(X20,n2)
& leq(n0,X20)
& leq(n0,X21)
& leq(X21,n998) )
=> use = a_select3(z_defuse,X20,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0021) ).
fof(f171,plain,
use != a_select3(z_defuse,sK0,sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f173,plain,
leq(sK0,n2),
inference(cnf_transformation,[],[f127]) ).
fof(f169,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f172,plain,
leq(sK1,n998),
inference(cnf_transformation,[],[f127]) ).
fof(f170,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV210+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:16:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % (3749)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (3755)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.56 % (3750)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.56 % (3749)First to succeed.
% 0.21/0.56 % (3747)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.57 % (3766)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.57 % (3775)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.57 % (3749)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (3749)------------------------------
% 0.21/0.57 % (3749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (3749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (3749)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (3749)Memory used [KB]: 6268
% 0.21/0.57 % (3749)Time elapsed: 0.141 s
% 0.21/0.57 % (3749)Instructions burned: 10 (million)
% 0.21/0.57 % (3749)------------------------------
% 0.21/0.57 % (3749)------------------------------
% 0.21/0.57 % (3745)Success in time 0.213 s
%------------------------------------------------------------------------------