TSTP Solution File: SWV190+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV190+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 : n015.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 18:44:27 EDT 2022
% Result : Theorem 1.42s 0.54s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 281 ( 206 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 271 ( 24 ~; 14 |; 222 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 36 ( 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f349,plain,
$false,
inference(subsumption_resolution,[],[f336,f204]) ).
fof(f204,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f336,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f229,f331]) ).
fof(f331,plain,
n0 = sK0,
inference(subsumption_resolution,[],[f330,f146]) ).
fof(f146,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(rho_defuse,n1)
& leq(n0,sK1)
& leq(n0,sK0)
& leq(sK0,tptp_minus_1)
& leq(sK1,n2)
& use != a_select3(u_defuse,sK1,sK0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f119,f120]) ).
fof(f120,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(n0,X0)
& leq(X0,tptp_minus_1)
& leq(X1,n2)
& use != a_select3(u_defuse,X1,X0) )
=> ( leq(n0,sK1)
& leq(n0,sK0)
& leq(sK0,tptp_minus_1)
& leq(sK1,n2)
& use != a_select3(u_defuse,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(rho_defuse,n1)
& ? [X0,X1] :
( leq(n0,X1)
& leq(n0,X0)
& leq(X0,tptp_minus_1)
& leq(X1,n2)
& use != a_select3(u_defuse,X1,X0) )
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
( use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(rho_defuse,n1)
& ? [X1,X0] :
( leq(n0,X0)
& leq(n0,X1)
& leq(X1,tptp_minus_1)
& leq(X0,n2)
& use != a_select3(u_defuse,X0,X1) )
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
( ? [X1,X0] :
( use != a_select3(u_defuse,X0,X1)
& leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,tptp_minus_1) )
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5) )
=> ! [X1,X0] :
( ( leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,tptp_minus_1) )
=> use = a_select3(u_defuse,X0,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5) )
=> ! [X13,X17] :
( ( leq(n0,X13)
& leq(n0,X17)
& leq(X13,n2)
& leq(X17,tptp_minus_1) )
=> use = a_select3(u_defuse,X13,X17) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5) )
=> ! [X13,X17] :
( ( leq(n0,X13)
& leq(n0,X17)
& leq(X13,n2)
& leq(X17,tptp_minus_1) )
=> use = a_select3(u_defuse,X13,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0001) ).
fof(f330,plain,
( ~ leq(n0,sK0)
| n0 = sK0 ),
inference(resolution,[],[f190,f244]) ).
fof(f244,plain,
leq(sK0,n0),
inference(forward_demodulation,[],[f241,f185]) ).
fof(f185,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f241,plain,
leq(sK0,succ(tptp_minus_1)),
inference(resolution,[],[f194,f145]) ).
fof(f145,plain,
leq(sK0,tptp_minus_1),
inference(cnf_transformation,[],[f121]) ).
fof(f194,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,succ(X1)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,succ(X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f190,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f229,plain,
gt(n0,sK0),
inference(forward_demodulation,[],[f226,f185]) ).
fof(f226,plain,
gt(succ(tptp_minus_1),sK0),
inference(resolution,[],[f174,f145]) ).
fof(f174,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X1,X0] :
( leq(X1,X0)
<=> gt(succ(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV190+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % 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 : n015.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 19:17:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.25/0.53 % (27044)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.25/0.53 % (27055)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.25/0.53 % (27063)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.25/0.53 % (27055)Instruction limit reached!
% 1.25/0.53 % (27055)------------------------------
% 1.25/0.53 % (27055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (27055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (27055)Termination reason: Unknown
% 1.25/0.53 % (27055)Termination phase: Preprocessing 3
% 1.25/0.53
% 1.25/0.53 % (27055)Memory used [KB]: 1535
% 1.25/0.53 % (27055)Time elapsed: 0.006 s
% 1.25/0.53 % (27055)Instructions burned: 3 (million)
% 1.25/0.53 % (27055)------------------------------
% 1.25/0.53 % (27055)------------------------------
% 1.25/0.54 % (27046)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.25/0.54 % (27063)First to succeed.
% 1.42/0.54 % (27063)Refutation found. Thanks to Tanya!
% 1.42/0.54 % SZS status Theorem for theBenchmark
% 1.42/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54 % (27063)------------------------------
% 1.42/0.54 % (27063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (27063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (27063)Termination reason: Refutation
% 1.42/0.54
% 1.42/0.54 % (27063)Memory used [KB]: 6140
% 1.42/0.54 % (27063)Time elapsed: 0.085 s
% 1.42/0.54 % (27063)Instructions burned: 9 (million)
% 1.42/0.54 % (27063)------------------------------
% 1.42/0.54 % (27063)------------------------------
% 1.42/0.54 % (27037)Success in time 0.182 s
%------------------------------------------------------------------------------