TSTP Solution File: SWV198+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV198+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 06:13:46 EDT 2024
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 102 ( 28 unt; 0 def)
% Number of atoms : 514 ( 269 equ)
% Maximal formula atoms : 45 ( 5 avg)
% Number of connectives : 525 ( 113 ~; 111 |; 276 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 70 ( 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11034,plain,
$false,
inference(avatar_sat_refutation,[],[f8810,f9198,f9404,f9413,f9426,f9428,f9652,f9654,f10936,f11000,f11002]) ).
fof(f11002,plain,
~ spl42_6,
inference(avatar_contradiction_clause,[],[f11001]) ).
fof(f11001,plain,
( $false
| ~ spl42_6 ),
inference(subsumption_resolution,[],[f10958,f268]) ).
fof(f268,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( use != a_select3(u_defuse,sK13,sK14)
& 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(u_defuse,X0,X1)
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use != a_select3(u_defuse,sK13,sK14)
& leq(sK14,pv5)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0,X1] :
( use != a_select3(u_defuse,X0,X1)
& 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(u_defuse,X4,X5)
& 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(u_defuse,X4,X5)
& 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) )
=> use = a_select3(u_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) )
=> use = a_select3(u_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) )
=> use = a_select3(u_defuse,X20,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
fof(f10958,plain,
( use != a_select3(u_defuse,n2,n0)
| ~ spl42_6 ),
inference(superposition,[],[f9182,f9403]) ).
fof(f9403,plain,
( n2 = sK13
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f9401]) ).
fof(f9401,plain,
( spl42_6
<=> n2 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).
fof(f9182,plain,
use != a_select3(u_defuse,sK13,n0),
inference(superposition,[],[f293,f9179]) ).
fof(f9179,plain,
n0 = sK14,
inference(subsumption_resolution,[],[f8725,f8788]) ).
fof(f8788,plain,
leq(sK14,n0),
inference(superposition,[],[f292,f8784]) ).
fof(f8784,plain,
n0 = pv5,
inference(subsumption_resolution,[],[f8723,f285]) ).
fof(f285,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f194]) ).
fof(f8723,plain,
( ~ leq(pv5,n0)
| n0 = pv5 ),
inference(resolution,[],[f352,f284]) ).
fof(f284,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f194]) ).
fof(f352,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(f292,plain,
leq(sK14,pv5),
inference(cnf_transformation,[],[f194]) ).
fof(f8725,plain,
( ~ leq(sK14,n0)
| n0 = sK14 ),
inference(resolution,[],[f352,f290]) ).
fof(f290,plain,
leq(n0,sK14),
inference(cnf_transformation,[],[f194]) ).
fof(f293,plain,
use != a_select3(u_defuse,sK13,sK14),
inference(cnf_transformation,[],[f194]) ).
fof(f11000,plain,
~ spl42_6,
inference(avatar_contradiction_clause,[],[f10999]) ).
fof(f10999,plain,
( $false
| ~ spl42_6 ),
inference(subsumption_resolution,[],[f10998,f268]) ).
fof(f10998,plain,
( use != a_select3(u_defuse,n2,n0)
| ~ spl42_6 ),
inference(forward_demodulation,[],[f10947,f9179]) ).
fof(f10947,plain,
( use != a_select3(u_defuse,n2,sK14)
| ~ spl42_6 ),
inference(superposition,[],[f293,f9403]) ).
fof(f10936,plain,
( spl42_1
| ~ spl42_5
| spl42_7 ),
inference(avatar_contradiction_clause,[],[f10935]) ).
fof(f10935,plain,
( $false
| spl42_1
| ~ spl42_5
| spl42_7 ),
inference(subsumption_resolution,[],[f10932,f9399]) ).
fof(f9399,plain,
( gt(n2,sK13)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f9397]) ).
fof(f9397,plain,
( spl42_5
<=> gt(n2,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f10932,plain,
( ~ gt(n2,sK13)
| spl42_1
| spl42_7 ),
inference(resolution,[],[f10904,f687]) ).
fof(f687,plain,
! [X0] :
( leq(X0,n1)
| ~ gt(n2,X0) ),
inference(superposition,[],[f380,f457]) ).
fof(f457,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f325,f323]) ).
fof(f323,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f325,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(f380,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(f10904,plain,
( ~ leq(sK13,n1)
| spl42_1
| spl42_7 ),
inference(subsumption_resolution,[],[f10903,f9407]) ).
fof(f9407,plain,
( n1 != sK13
| spl42_7 ),
inference(avatar_component_clause,[],[f9406]) ).
fof(f9406,plain,
( spl42_7
<=> n1 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).
fof(f10903,plain,
( ~ leq(sK13,n1)
| n1 = sK13
| spl42_1 ),
inference(subsumption_resolution,[],[f10839,f8804]) ).
fof(f8804,plain,
( n0 != sK13
| spl42_1 ),
inference(avatar_component_clause,[],[f8803]) ).
fof(f8803,plain,
( spl42_1
<=> n0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f10839,plain,
( n0 = sK13
| ~ leq(sK13,n1)
| n1 = sK13 ),
inference(resolution,[],[f350,f289]) ).
fof(f289,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f350,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(f9654,plain,
~ spl42_7,
inference(avatar_contradiction_clause,[],[f9653]) ).
fof(f9653,plain,
( $false
| ~ spl42_7 ),
inference(subsumption_resolution,[],[f9647,f267]) ).
fof(f267,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f194]) ).
fof(f9647,plain,
( use != a_select3(u_defuse,n1,n0)
| ~ spl42_7 ),
inference(superposition,[],[f9182,f9408]) ).
fof(f9408,plain,
( n1 = sK13
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f9406]) ).
fof(f9652,plain,
~ spl42_7,
inference(avatar_contradiction_clause,[],[f9651]) ).
fof(f9651,plain,
( $false
| ~ spl42_7 ),
inference(subsumption_resolution,[],[f9650,f267]) ).
fof(f9650,plain,
( use != a_select3(u_defuse,n1,n0)
| ~ spl42_7 ),
inference(forward_demodulation,[],[f9636,f9179]) ).
fof(f9636,plain,
( use != a_select3(u_defuse,n1,sK14)
| ~ spl42_7 ),
inference(superposition,[],[f293,f9408]) ).
fof(f9428,plain,
~ spl42_1,
inference(avatar_contradiction_clause,[],[f9427]) ).
fof(f9427,plain,
( $false
| ~ spl42_1 ),
inference(subsumption_resolution,[],[f9421,f266]) ).
fof(f266,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f194]) ).
fof(f9421,plain,
( use != a_select3(u_defuse,n0,n0)
| ~ spl42_1 ),
inference(superposition,[],[f9182,f8805]) ).
fof(f8805,plain,
( n0 = sK13
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f8803]) ).
fof(f9426,plain,
~ spl42_1,
inference(avatar_contradiction_clause,[],[f9425]) ).
fof(f9425,plain,
( $false
| ~ spl42_1 ),
inference(subsumption_resolution,[],[f9424,f266]) ).
fof(f9424,plain,
( use != a_select3(u_defuse,n0,n0)
| ~ spl42_1 ),
inference(forward_demodulation,[],[f9416,f9179]) ).
fof(f9416,plain,
( use != a_select3(u_defuse,n0,sK14)
| ~ spl42_1 ),
inference(superposition,[],[f293,f8805]) ).
fof(f9413,plain,
( spl42_7
| spl42_8
| spl42_2 ),
inference(avatar_split_clause,[],[f9171,f8807,f9410,f9406]) ).
fof(f9410,plain,
( spl42_8
<=> gt(sK13,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).
fof(f8807,plain,
( spl42_2
<=> leq(sK13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f9171,plain,
( gt(sK13,n1)
| n1 = sK13
| spl42_2 ),
inference(resolution,[],[f8812,f353]) ).
fof(f353,plain,
! [X0,X1] :
( gt(X1,X0)
| gt(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f8812,plain,
( ~ gt(n1,sK13)
| spl42_2 ),
inference(resolution,[],[f8809,f685]) ).
fof(f685,plain,
! [X0] :
( leq(X0,n0)
| ~ gt(n1,X0) ),
inference(superposition,[],[f380,f323]) ).
fof(f8809,plain,
( ~ leq(sK13,n0)
| spl42_2 ),
inference(avatar_component_clause,[],[f8807]) ).
fof(f9404,plain,
( spl42_5
| spl42_6 ),
inference(avatar_split_clause,[],[f9355,f9401,f9397]) ).
fof(f9355,plain,
( n2 = sK13
| gt(n2,sK13) ),
inference(resolution,[],[f360,f291]) ).
fof(f291,plain,
leq(sK13,n2),
inference(cnf_transformation,[],[f194]) ).
fof(f360,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(f9198,plain,
( spl42_3
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f8795,f9195,f9191]) ).
fof(f9191,plain,
( spl42_3
<=> n0 = n998 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f9195,plain,
( spl42_4
<=> leq(n998,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f8795,plain,
( ~ leq(n998,n0)
| n0 = n998 ),
inference(resolution,[],[f8787,f352]) ).
fof(f8787,plain,
leq(n0,n998),
inference(superposition,[],[f286,f8784]) ).
fof(f286,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f194]) ).
fof(f8810,plain,
( spl42_1
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f8724,f8807,f8803]) ).
fof(f8724,plain,
( ~ leq(sK13,n0)
| n0 = sK13 ),
inference(resolution,[],[f352,f289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV198+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.12/0.13 % 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 06:21:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (21995)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (21998)WARNING: value z3 for option sas not known
% 0.18/0.36 % (21996)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % (21999)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (21997)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 % (21998)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 % (22002)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 % (22000)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 % (22001)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)
% 0.18/0.48 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.54 % (21998)First to succeed.
% 0.18/0.54 % (21998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21995"
% 0.18/0.55 % (21998)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Theorem for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (21998)------------------------------
% 0.18/0.55 % (21998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.55 % (21998)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (21998)Memory used [KB]: 3835
% 0.18/0.55 % (21998)Time elapsed: 0.188 s
% 0.18/0.55 % (21998)Instructions burned: 355 (million)
% 0.18/0.55 % (21995)Success in time 0.207 s
%------------------------------------------------------------------------------