TSTP Solution File: SWV204+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV204+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 : n027.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 113 ( 26 unt; 0 def)
% Number of atoms : 515 ( 256 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 539 ( 137 ~; 139 |; 238 &)
% ( 7 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 91 ( 87 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11358,plain,
$false,
inference(avatar_sat_refutation,[],[f8837,f9224,f9239,f9467,f11091,f11179,f11181,f11183,f11185,f11215,f11220,f11308]) ).
fof(f11308,plain,
~ spl41_6,
inference(avatar_contradiction_clause,[],[f11307]) ).
fof(f11307,plain,
( $false
| ~ spl41_6 ),
inference(subsumption_resolution,[],[f11236,f259]) ).
fof(f259,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( use != a_select2(rho_defuse,sK13)
& leq(sK13,n2)
& leq(n0,sK13)
& ! [X1,X2] :
( use = a_select3(z_defuse,X1,X2)
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) )
& ! [X3,X4] :
( use = a_select3(u_defuse,X3,X4)
| ~ leq(X4,n998)
| ~ leq(X3,n2)
| ~ leq(n0,X4)
| ~ leq(n0,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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( use != a_select2(rho_defuse,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( use != a_select2(rho_defuse,sK13)
& leq(sK13,n2)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( use != a_select2(rho_defuse,X0)
& leq(X0,n2)
& leq(n0,X0) )
& ! [X1,X2] :
( use = a_select3(z_defuse,X1,X2)
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) )
& ! [X3,X4] :
( use = a_select3(u_defuse,X3,X4)
| ~ leq(X4,n998)
| ~ leq(X3,n2)
| ~ leq(n0,X4)
| ~ leq(n0,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) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X4] :
( use != a_select2(rho_defuse,X4)
& leq(X4,n2)
& 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] :
( use != a_select2(rho_defuse,X4)
& leq(X4,n2)
& 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] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> use = a_select2(rho_defuse,X4) ) ),
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] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> use = a_select2(rho_defuse,X20) ) ),
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] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> use = a_select2(rho_defuse,X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
fof(f11236,plain,
( use != a_select2(rho_defuse,n2)
| ~ spl41_6 ),
inference(superposition,[],[f288,f9466]) ).
fof(f9466,plain,
( n2 = sK13
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f9464]) ).
fof(f9464,plain,
( spl41_6
<=> n2 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f288,plain,
use != a_select2(rho_defuse,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f11220,plain,
( ~ spl41_1
| ~ spl41_4 ),
inference(avatar_contradiction_clause,[],[f11219]) ).
fof(f11219,plain,
( $false
| ~ spl41_1
| ~ spl41_4 ),
inference(subsumption_resolution,[],[f11177,f629]) ).
fof(f629,plain,
~ leq(n1,n0),
inference(superposition,[],[f610,f318]) ).
fof(f318,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f610,plain,
! [X0] : ~ leq(succ(X0),X0),
inference(resolution,[],[f374,f324]) ).
fof(f324,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f374,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(f11177,plain,
( leq(n1,n0)
| ~ spl41_1
| ~ spl41_4 ),
inference(superposition,[],[f10963,f8832]) ).
fof(f8832,plain,
( n0 = sK13
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f8830]) ).
fof(f8830,plain,
( spl41_1
<=> n0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f10963,plain,
( leq(n1,sK13)
| ~ spl41_4 ),
inference(resolution,[],[f10919,f375]) ).
fof(f375,plain,
! [X0,X1] :
( ~ gt(succ(X1),X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f10919,plain,
( gt(succ(sK13),n1)
| ~ spl41_4 ),
inference(resolution,[],[f9652,f326]) ).
fof(f326,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_succ) ).
fof(f9652,plain,
( ! [X0] :
( ~ gt(X0,sK13)
| gt(X0,n1) )
| ~ spl41_4 ),
inference(resolution,[],[f381,f9223]) ).
fof(f9223,plain,
( gt(sK13,n1)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f9221]) ).
fof(f9221,plain,
( spl41_4
<=> gt(sK13,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f11215,plain,
( ~ spl41_1
| ~ spl41_4 ),
inference(avatar_contradiction_clause,[],[f11214]) ).
fof(f11214,plain,
( $false
| ~ spl41_1
| ~ spl41_4 ),
inference(subsumption_resolution,[],[f11213,f324]) ).
fof(f11213,plain,
( gt(n1,n1)
| ~ spl41_1
| ~ spl41_4 ),
inference(forward_demodulation,[],[f11173,f318]) ).
fof(f11173,plain,
( gt(succ(n0),n1)
| ~ spl41_1
| ~ spl41_4 ),
inference(superposition,[],[f10919,f8832]) ).
fof(f11185,plain,
( ~ spl41_1
| ~ spl41_4 ),
inference(avatar_contradiction_clause,[],[f11184]) ).
fof(f11184,plain,
( $false
| ~ spl41_1
| ~ spl41_4 ),
inference(subsumption_resolution,[],[f11110,f640]) ).
fof(f640,plain,
~ gt(n0,n1),
inference(resolution,[],[f629,f352]) ).
fof(f352,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f11110,plain,
( gt(n0,n1)
| ~ spl41_1
| ~ spl41_4 ),
inference(superposition,[],[f9223,f8832]) ).
fof(f11183,plain,
( ~ spl41_1
| spl41_2 ),
inference(avatar_contradiction_clause,[],[f11182]) ).
fof(f11182,plain,
( $false
| ~ spl41_1
| spl41_2 ),
inference(subsumption_resolution,[],[f11106,f313]) ).
fof(f313,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f11106,plain,
( ~ gt(n1,n0)
| ~ spl41_1
| spl41_2 ),
inference(superposition,[],[f8838,f8832]) ).
fof(f8838,plain,
( ~ gt(n1,sK13)
| spl41_2 ),
inference(resolution,[],[f8836,f660]) ).
fof(f660,plain,
! [X0] :
( leq(X0,n0)
| ~ gt(n1,X0) ),
inference(superposition,[],[f375,f318]) ).
fof(f8836,plain,
( ~ leq(sK13,n0)
| spl41_2 ),
inference(avatar_component_clause,[],[f8834]) ).
fof(f8834,plain,
( spl41_2
<=> leq(sK13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f11181,plain,
( ~ spl41_1
| spl41_2 ),
inference(avatar_contradiction_clause,[],[f11180]) ).
fof(f11180,plain,
( $false
| ~ spl41_1
| spl41_2 ),
inference(subsumption_resolution,[],[f11105,f325]) ).
fof(f325,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f11105,plain,
( ~ leq(n0,n0)
| ~ spl41_1
| spl41_2 ),
inference(superposition,[],[f8836,f8832]) ).
fof(f11179,plain,
~ spl41_1,
inference(avatar_contradiction_clause,[],[f11178]) ).
fof(f11178,plain,
( $false
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f11100,f257]) ).
fof(f257,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f194]) ).
fof(f11100,plain,
( use != a_select2(rho_defuse,n0)
| ~ spl41_1 ),
inference(superposition,[],[f288,f8832]) ).
fof(f11091,plain,
( spl41_1
| spl41_3
| ~ spl41_5 ),
inference(avatar_contradiction_clause,[],[f11090]) ).
fof(f11090,plain,
( $false
| spl41_1
| spl41_3
| ~ spl41_5 ),
inference(subsumption_resolution,[],[f11087,f9462]) ).
fof(f9462,plain,
( gt(n2,sK13)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f9460]) ).
fof(f9460,plain,
( spl41_5
<=> gt(n2,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f11087,plain,
( ~ gt(n2,sK13)
| spl41_1
| spl41_3 ),
inference(resolution,[],[f11061,f662]) ).
fof(f662,plain,
! [X0] :
( leq(X0,n1)
| ~ gt(n2,X0) ),
inference(superposition,[],[f375,f452]) ).
fof(f452,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f320,f318]) ).
fof(f320,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(f11061,plain,
( ~ leq(sK13,n1)
| spl41_1
| spl41_3 ),
inference(subsumption_resolution,[],[f11060,f9218]) ).
fof(f9218,plain,
( n1 != sK13
| spl41_3 ),
inference(avatar_component_clause,[],[f9217]) ).
fof(f9217,plain,
( spl41_3
<=> n1 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f11060,plain,
( ~ leq(sK13,n1)
| n1 = sK13
| spl41_1 ),
inference(subsumption_resolution,[],[f10999,f8831]) ).
fof(f8831,plain,
( n0 != sK13
| spl41_1 ),
inference(avatar_component_clause,[],[f8830]) ).
fof(f10999,plain,
( n0 = sK13
| ~ leq(sK13,n1)
| n1 = sK13 ),
inference(resolution,[],[f345,f286]) ).
fof(f286,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f345,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(f9467,plain,
( spl41_5
| spl41_6 ),
inference(avatar_split_clause,[],[f9434,f9464,f9460]) ).
fof(f9434,plain,
( n2 = sK13
| gt(n2,sK13) ),
inference(resolution,[],[f355,f287]) ).
fof(f287,plain,
leq(sK13,n2),
inference(cnf_transformation,[],[f194]) ).
fof(f355,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(f9239,plain,
~ spl41_3,
inference(avatar_contradiction_clause,[],[f9238]) ).
fof(f9238,plain,
( $false
| ~ spl41_3 ),
inference(subsumption_resolution,[],[f9227,f258]) ).
fof(f258,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f194]) ).
fof(f9227,plain,
( use != a_select2(rho_defuse,n1)
| ~ spl41_3 ),
inference(superposition,[],[f288,f9219]) ).
fof(f9219,plain,
( n1 = sK13
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f9217]) ).
fof(f9224,plain,
( spl41_3
| spl41_4
| spl41_2 ),
inference(avatar_split_clause,[],[f8956,f8834,f9221,f9217]) ).
fof(f8956,plain,
( gt(sK13,n1)
| n1 = sK13
| spl41_2 ),
inference(resolution,[],[f348,f8838]) ).
fof(f348,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(f8837,plain,
( spl41_1
| ~ spl41_2 ),
inference(avatar_split_clause,[],[f8770,f8834,f8830]) ).
fof(f8770,plain,
( ~ leq(sK13,n0)
| n0 = sK13 ),
inference(resolution,[],[f347,f286]) ).
fof(f347,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV204+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:26:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (5826)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (5827)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (5829)WARNING: value z3 for option sas not known
% 0.14/0.38 % (5830)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (5828)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (5829)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)
% 0.14/0.38 % (5831)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)
% 0.14/0.38 % (5832)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)
% 0.14/0.38 % (5833)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)
% 0.21/0.49 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.54 % (5829)First to succeed.
% 0.21/0.54 % (5829)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (5829)------------------------------
% 0.21/0.54 % (5829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.54 % (5829)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (5829)Memory used [KB]: 3940
% 0.21/0.54 % (5829)Time elapsed: 0.163 s
% 0.21/0.54 % (5829)Instructions burned: 365 (million)
% 0.21/0.54 % (5829)------------------------------
% 0.21/0.54 % (5829)------------------------------
% 0.21/0.54 % (5826)Success in time 0.182 s
%------------------------------------------------------------------------------