TSTP Solution File: SWV199+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV199+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 : n032.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 16:42:14 EDT 2024
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 22 unt; 0 def)
% Number of atoms : 501 ( 314 equ)
% Maximal formula atoms : 51 ( 7 avg)
% Number of connectives : 561 ( 130 ~; 98 |; 309 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 65 ( 57 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10851,plain,
$false,
inference(avatar_sat_refutation,[],[f468,f9100,f9114,f10850]) ).
fof(f10850,plain,
spl42_1,
inference(avatar_contradiction_clause,[],[f10849]) ).
fof(f10849,plain,
( $false
| spl42_1 ),
inference(subsumption_resolution,[],[f10846,f9299]) ).
fof(f9299,plain,
gt(n2,sK13),
inference(subsumption_resolution,[],[f9270,f9102]) ).
fof(f9102,plain,
n2 != sK13,
inference(subsumption_resolution,[],[f9101,f8696]) ).
fof(f8696,plain,
n0 = pv5,
inference(subsumption_resolution,[],[f8635,f285]) ).
fof(f285,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( use != a_select3(z_defuse,sK13,sK14)
& ( pv5 != sK14
| n2 != sK13 )
& ( pv5 != sK14
| n1 != sK13 )
& ( pv5 != sK14
| n0 != sK13 )
& leq(sK14,pv5)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13)
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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)
& ( pv5 != X1
| n2 != X0 )
& ( pv5 != X1
| n1 != X0 )
& ( pv5 != X1
| n0 != X0 )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use != a_select3(z_defuse,sK13,sK14)
& ( pv5 != sK14
| n2 != sK13 )
& ( pv5 != sK14
| n1 != sK13 )
& ( pv5 != sK14
| n0 != sK13 )
& leq(sK14,pv5)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& ( pv5 != X1
| n2 != X0 )
& ( pv5 != X1
| n1 != X0 )
& ( pv5 != X1
| n0 != X0 )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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)
& ( pv5 != X5
| n2 != X4 )
& ( pv5 != X5
| n1 != X4 )
& ( pv5 != X5
| n0 != X4 )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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)
& ( pv5 != X5
| n2 != X4 )
& ( pv5 != X5
| n1 != X4 )
& ( pv5 != X5
| n0 != X4 )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> use = a_select3(z_defuse,X0,X1) )
& ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> use = a_select3(u_defuse,X2,X3) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( pv5 = X5
& n2 = X4 )
& ~ ( pv5 = X5
& n1 = X4 )
& ~ ( pv5 = X5
& n0 = X4 ) )
=> use = a_select3(z_defuse,X4,X5) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( ~ ( pv5 = X21
& n2 = X20 )
& ~ ( pv5 = X21
& n1 = X20 )
& ~ ( pv5 = X21
& n0 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 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,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( ~ ( pv5 = X21
& n2 = X20 )
& ~ ( pv5 = X21
& n1 = X20 )
& ~ ( pv5 = X21
& n0 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(f8635,plain,
( ~ leq(pv5,n0)
| n0 = pv5 ),
inference(resolution,[],[f355,f284]) ).
fof(f284,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f194]) ).
fof(f355,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f9101,plain,
( n0 != pv5
| n2 != sK13 ),
inference(forward_demodulation,[],[f295,f9087]) ).
fof(f9087,plain,
n0 = sK14,
inference(subsumption_resolution,[],[f8637,f8701]) ).
fof(f8701,plain,
leq(sK14,n0),
inference(superposition,[],[f292,f8696]) ).
fof(f292,plain,
leq(sK14,pv5),
inference(cnf_transformation,[],[f194]) ).
fof(f8637,plain,
( ~ leq(sK14,n0)
| n0 = sK14 ),
inference(resolution,[],[f355,f290]) ).
fof(f290,plain,
leq(n0,sK14),
inference(cnf_transformation,[],[f194]) ).
fof(f295,plain,
( pv5 != sK14
| n2 != sK13 ),
inference(cnf_transformation,[],[f194]) ).
fof(f9270,plain,
( n2 = sK13
| gt(n2,sK13) ),
inference(resolution,[],[f363,f291]) ).
fof(f291,plain,
leq(sK13,n2),
inference(cnf_transformation,[],[f194]) ).
fof(f363,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f10846,plain,
( ~ gt(n2,sK13)
| spl42_1 ),
inference(resolution,[],[f10818,f688]) ).
fof(f688,plain,
! [X0] :
( leq(X0,n1)
| ~ gt(n2,X0) ),
inference(superposition,[],[f383,f469]) ).
fof(f469,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f328,f326]) ).
fof(f326,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f328,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f383,plain,
! [X0,X1] :
( ~ gt(succ(X1),X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f10818,plain,
( ~ leq(sK13,n1)
| spl42_1 ),
inference(subsumption_resolution,[],[f10817,f9104]) ).
fof(f9104,plain,
n1 != sK13,
inference(subsumption_resolution,[],[f9103,f8696]) ).
fof(f9103,plain,
( n0 != pv5
| n1 != sK13 ),
inference(forward_demodulation,[],[f294,f9087]) ).
fof(f294,plain,
( pv5 != sK14
| n1 != sK13 ),
inference(cnf_transformation,[],[f194]) ).
fof(f10817,plain,
( ~ leq(sK13,n1)
| n1 = sK13
| spl42_1 ),
inference(subsumption_resolution,[],[f10753,f463]) ).
fof(f463,plain,
( n0 != sK13
| spl42_1 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl42_1
<=> n0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f10753,plain,
( n0 = sK13
| ~ leq(sK13,n1)
| n1 = sK13 ),
inference(resolution,[],[f353,f289]) ).
fof(f289,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f353,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n1)
| n1 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f9114,plain,
( spl42_3
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f8711,f9111,f9107]) ).
fof(f9107,plain,
( spl42_3
<=> n0 = n998 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f9111,plain,
( spl42_4
<=> leq(n998,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f8711,plain,
( ~ leq(n998,n0)
| n0 = n998 ),
inference(resolution,[],[f8700,f355]) ).
fof(f8700,plain,
leq(n0,n998),
inference(superposition,[],[f286,f8696]) ).
fof(f286,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f194]) ).
fof(f9100,plain,
spl42_2,
inference(avatar_contradiction_clause,[],[f9099]) ).
fof(f9099,plain,
( $false
| spl42_2 ),
inference(subsumption_resolution,[],[f9091,f8696]) ).
fof(f9091,plain,
( n0 != pv5
| spl42_2 ),
inference(superposition,[],[f467,f9087]) ).
fof(f467,plain,
( pv5 != sK14
| spl42_2 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl42_2
<=> pv5 = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f468,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f293,f465,f461]) ).
fof(f293,plain,
( pv5 != sK14
| n0 != sK13 ),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 04:58:21 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % (17309)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.30 % (17310)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.30 % (17312)WARNING: value z3 for option sas not known
% 0.08/0.30 % (17313)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.30 % (17311)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.30 % (17312)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)
% 0.08/0.30 % (17314)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)
% 0.08/0.30 % (17315)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)
% 0.08/0.30 % (17316)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)
% 0.12/0.40 TRYING [1]
% 0.12/0.42 TRYING [2]
% 0.12/0.46 % (17312)First to succeed.
% 0.12/0.46 % (17312)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (17312)------------------------------
% 0.12/0.46 % (17312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.46 % (17312)Termination reason: Refutation
% 0.12/0.46
% 0.12/0.46 % (17312)Memory used [KB]: 2970
% 0.12/0.46 % (17312)Time elapsed: 0.162 s
% 0.12/0.46 % (17312)Instructions burned: 340 (million)
% 0.12/0.46 % (17312)------------------------------
% 0.12/0.46 % (17312)------------------------------
% 0.12/0.46 % (17309)Success in time 0.18 s
%------------------------------------------------------------------------------