%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV173+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:18 PM UTC 2026
% Result : Theorem 0.65s 0.97s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 27 unt; 7 def)
% Number of atoms : 417 ( 130 equ)
% Maximal formula atoms : 35 ( 4 avg)
% Number of connectives : 492 ( 169 ~; 195 |; 93 &)
% ( 6 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 68 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv10,n135299)
& gt(loopcounter,n1)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n135299) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select2(rho_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(mu_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(sigma_init,X4) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(center_init,X5,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(muold_init,X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> a_select2(rhoold_init,X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> a_select2(sigmaold_init,X8) = init ) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select2(rhoold_init,X9) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0041) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,n135299)
& gt(loopcounter,n1)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n135299) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select2(rho_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(mu_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(sigma_init,X4) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(center_init,X5,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(muold_init,X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> a_select2(rhoold_init,X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> a_select2(sigmaold_init,X8) = init ) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select2(rhoold_init,X9) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f83,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> ( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f89,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f94,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& leq(n0,pv10)
& leq(pv10,n135299)
& gt(loopcounter,n1)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select2(rho_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( a_select2(mu_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( a_select2(sigma_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( a_select3(center_init,X5,n0) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( a_select2(muold_init,X6) = init
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( a_select2(rhoold_init,X7) = init
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( a_select2(sigmaold_init,X8) = init
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& leq(n0,pv10)
& leq(pv10,n135299)
& gt(loopcounter,n1)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select2(rho_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( a_select2(mu_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( a_select2(sigma_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( a_select3(center_init,X5,n0) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( a_select2(muold_init,X6) = init
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( a_select2(rhoold_init,X7) = init
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( a_select2(sigmaold_init,X8) = init
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f94]) ).
fof(f107,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| ~ leq(n0,X0)
| ~ leq(X0,n4) ),
inference(ennf_transformation,[],[f83]) ).
fof(f108,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| ~ leq(n0,X0)
| ~ leq(X0,n4) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
( ? [X0] :
( init != a_select2(rhoold_init,X0)
& leq(n0,X0)
& leq(X0,n4) )
& leq(n0,pv10)
& leq(pv10,n135299)
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& ! [X3] :
( init = a_select2(rho_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( init = a_select2(mu_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ( ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X9] :
( init = a_select2(sigmaold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f95]) ).
fof(f110,plain,
( init != a_select2(rhoold_init,sK0)
& leq(n0,sK0)
& leq(sK0,n4)
& leq(n0,pv10)
& leq(pv10,n135299)
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& ! [X3] :
( init = a_select2(rho_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( init = a_select2(mu_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ( ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X9] :
( init = a_select2(sigmaold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f109]) ).
fof(f112,plain,
! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f114,plain,
! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(n0,X6)
| ~ leq(X6,n4) ),
inference(cnf_transformation,[],[f110]) ).
fof(f119,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f110]) ).
fof(f122,plain,
leq(sK0,n4),
inference(cnf_transformation,[],[f110]) ).
fof(f123,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f124,plain,
init != a_select2(rhoold_init,sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f132,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f136,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f137,plain,
! [X0] :
( ~ leq(n0,X0)
| n1 = X0
| n2 = X0
| n3 = X0
| n4 = X0
| n0 = X0
| ~ leq(X0,n4) ),
inference(cnf_transformation,[],[f108]) ).
fof(f149,definition,
~ sP1(init),
introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).
fof(f150,plain,
sP1(a_select2(rhoold_init,sK0)),
inference(inequality_splitting,[],[f124,f149]) ).
fof(f152,plain,
! [X8] :
( ~ leq(X8,succ(succ(succ(succ(n0)))))
| init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f112,f136]) ).
fof(f154,plain,
! [X6] :
( ~ leq(X6,succ(succ(succ(succ(n0)))))
| init = a_select3(center_init,X6,n0)
| ~ leq(n0,X6) ),
inference(forward_demodulation,[],[f114,f136]) ).
fof(f159,plain,
gt(loopcounter,succ(n0)),
inference(forward_demodulation,[],[f119,f133]) ).
fof(f160,plain,
leq(sK0,succ(succ(succ(succ(n0))))),
inference(forward_demodulation,[],[f122,f136]) ).
fof(f162,plain,
! [X8] :
( ~ gt(loopcounter,succ(n0))
| ~ leq(X8,succ(succ(succ(succ(n0)))))
| init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8) ),
inference(forward_demodulation,[],[f152,f133]) ).
fof(f165,plain,
! [X8] :
( ~ leq(X8,succ(succ(succ(succ(n0)))))
| init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8) ),
inference(forward_subsumption_resolution,[],[f162,f159]) ).
fof(f228,plain,
( n1 = sK0
| n2 = sK0
| n3 = sK0
| n4 = sK0
| n0 = sK0
| ~ leq(sK0,n4) ),
inference(resolution,[],[f123,f137]) ).
fof(f234,definition,
( spl2_12
<=> n0 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f236,plain,
( n0 = sK0
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f248,plain,
( succ(n0) = sK0
| n2 = sK0
| n3 = sK0
| n4 = sK0
| n0 = sK0
| ~ leq(sK0,n4) ),
inference(forward_demodulation,[],[f228,f133]) ).
fof(f250,plain,
( succ(succ(succ(succ(n0)))) = sK0
| succ(n0) = sK0
| n2 = sK0
| n3 = sK0
| n0 = sK0
| ~ leq(sK0,n4) ),
inference(forward_demodulation,[],[f248,f136]) ).
fof(f252,definition,
( spl2_15
<=> succ(n0) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f254,plain,
( succ(n0) = sK0
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f260,plain,
( ~ leq(sK0,succ(succ(succ(succ(n0)))))
| succ(succ(succ(succ(n0)))) = sK0
| succ(n0) = sK0
| n2 = sK0
| n3 = sK0
| n0 = sK0 ),
inference(forward_demodulation,[],[f250,f136]) ).
fof(f261,plain,
( succ(succ(succ(succ(n0)))) = sK0
| succ(n0) = sK0
| n2 = sK0
| n3 = sK0
| n0 = sK0 ),
inference(forward_subsumption_resolution,[],[f260,f160]) ).
fof(f263,definition,
( spl2_17
<=> n3 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f265,plain,
( n3 = sK0
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl2_18
<=> n2 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f269,plain,
( n2 = sK0
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f271,definition,
( spl2_19
<=> succ(succ(succ(succ(n0)))) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f273,plain,
( succ(succ(succ(succ(n0)))) = sK0
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( spl2_12
| spl2_17
| spl2_18
| spl2_15
| spl2_19 ),
inference(avatar_split_clause,[],[f261,f271,f252,f267,f263,f234]) ).
fof(f341,definition,
( spl2_28
<=> leq(n0,succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
fof(f342,plain,
( leq(n0,succ(succ(succ(succ(n0)))))
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( ~ leq(n0,succ(succ(succ(succ(n0)))))
| spl2_28 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f356,plain,
( leq(n0,succ(succ(succ(succ(n0)))))
| ~ spl2_12 ),
inference(superposition,[],[f160,f236]) ).
fof(f359,plain,
( $false
| ~ spl2_12
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f356,f343]) ).
fof(f360,plain,
( ~ spl2_12
| spl2_28 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f382,plain,
( init = a_select2(rhoold_init,sK0)
| ~ leq(n0,sK0) ),
inference(resolution,[],[f165,f160]) ).
fof(f383,plain,
init = a_select2(rhoold_init,sK0),
inference(forward_subsumption_resolution,[],[f382,f123]) ).
fof(f384,plain,
( init = a_select2(rhoold_init,succ(n0))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f383,f254]) ).
fof(f389,plain,
( init = a_select3(center_init,succ(succ(succ(succ(n0)))),n0)
| ~ leq(n0,succ(succ(succ(succ(n0))))) ),
inference(resolution,[],[f154,f132]) ).
fof(f444,plain,
( sP1(a_select2(rhoold_init,succ(n0)))
| ~ spl2_15 ),
inference(superposition,[],[f150,f254]) ).
fof(f451,plain,
( sP1(init)
| ~ spl2_15 ),
inference(forward_demodulation,[],[f444,f384]) ).
fof(f452,plain,
( $false
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f451,f149]) ).
fof(f453,plain,
~ spl2_15,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f462,plain,
( init = a_select2(rhoold_init,n3)
| ~ spl2_17 ),
inference(forward_demodulation,[],[f383,f265]) ).
fof(f469,plain,
( sP1(a_select2(rhoold_init,n3))
| ~ spl2_17 ),
inference(superposition,[],[f150,f265]) ).
fof(f475,plain,
( sP1(init)
| ~ spl2_17 ),
inference(forward_demodulation,[],[f469,f462]) ).
fof(f476,plain,
( $false
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f475,f149]) ).
fof(f477,plain,
~ spl2_17,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f486,plain,
( init = a_select2(rhoold_init,n2)
| ~ spl2_18 ),
inference(forward_demodulation,[],[f383,f269]) ).
fof(f493,plain,
( sP1(a_select2(rhoold_init,n2))
| ~ spl2_18 ),
inference(superposition,[],[f150,f269]) ).
fof(f499,plain,
( sP1(init)
| ~ spl2_18 ),
inference(forward_demodulation,[],[f493,f486]) ).
fof(f500,plain,
( $false
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f499,f149]) ).
fof(f501,plain,
~ spl2_18,
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f508,plain,
( init = a_select2(rhoold_init,succ(succ(succ(succ(n0)))))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f383,f273]) ).
fof(f521,plain,
( sP1(a_select2(rhoold_init,succ(succ(succ(succ(n0))))))
| ~ spl2_19 ),
inference(superposition,[],[f150,f273]) ).
fof(f530,plain,
( sP1(init)
| ~ spl2_19 ),
inference(forward_demodulation,[],[f521,f508]) ).
fof(f533,plain,
( $false
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f530,f149]) ).
fof(f534,plain,
~ spl2_19,
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f541,plain,
( init = a_select3(center_init,succ(succ(succ(succ(n0)))),n0)
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f389,f342]) ).
fof(f550,plain,
( init = a_select2(rhoold_init,n0)
| ~ spl2_12 ),
inference(forward_demodulation,[],[f383,f236]) ).
fof(f559,plain,
( a_select2(rhoold_init,n0) = a_select3(center_init,succ(succ(succ(succ(n0)))),n0)
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f550,f541]) ).
fof(f563,plain,
( sP1(a_select2(rhoold_init,n0))
| ~ spl2_12 ),
inference(superposition,[],[f150,f236]) ).
fof(f575,plain,
( sP1(a_select3(center_init,succ(succ(succ(succ(n0)))),n0))
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f563,f559]) ).
fof(f698,plain,
( ~ sP1(a_select3(center_init,succ(succ(succ(succ(n0)))),n0))
| ~ spl2_28 ),
inference(superposition,[],[f149,f541]) ).
fof(f699,plain,
( $false
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f698,f575]) ).
fof(f700,plain,
( ~ spl2_12
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f699]) ).
cnf(s9,plain,
( spl2_12
| spl2_15
| spl2_17
| spl2_18
| spl2_19 ),
inference(sat_conversion,[],[f274]) ).
cnf(s17,plain,
( ~ spl2_12
| spl2_28 ),
inference(sat_conversion,[],[f360]) ).
cnf(s22,plain,
~ spl2_15,
inference(sat_conversion,[],[f453]) ).
cnf(s24,plain,
~ spl2_17,
inference(sat_conversion,[],[f477]) ).
cnf(s26,plain,
~ spl2_18,
inference(sat_conversion,[],[f501]) ).
cnf(s28,plain,
~ spl2_19,
inference(sat_conversion,[],[f534]) ).
cnf(s36,plain,
( ~ spl2_12
| ~ spl2_28 ),
inference(sat_conversion,[],[f700]) ).
cnf(s38,plain,
spl2_12,
inference(rat,[],[s9,s28,s26,s24,s22]) ).
cnf(s39,plain,
~ spl2_28,
inference(rat,[],[s36,s38]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s17,s39,s38]) ).
fof(f701,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV173+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:07:53 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.97 % (257634)Detected formulas, will run a generic FOF schedule.
% 0.65/0.97 % (257642)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1559945182:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.65/0.97 % (257642)First to succeed.
% 0.65/0.97 % (257642)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-257634"
% 0.65/0.97 % (257639)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=31206438:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.65/0.97 % (257644)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4248038888:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.65/0.97 % (257643)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=757778482:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.65/0.97 % (257640)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1410570966:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.65/0.97 % (257641)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2147814450:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.65/0.97 % (257645)dis-21_1_sil=8000:lcm=predicate:random_seed=69188266:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.65/0.97 % (257643)Also succeeded, but the first one will report.
% 0.65/0.97 % (257645)Also succeeded, but the first one will report.
% 0.65/0.97 % (257644)Also succeeded, but the first one will report.
% 0.65/0.97 % (257642)Refutation found. Thanks to Tanya!
% 0.65/0.97 % SZS status Theorem for theBenchmark
% 0.65/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.17 % (257642)------------------------------
% 2.87/1.17 % (257642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.17 % (257642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.17 % (257642)CaDiCaL version: 2.1.3
% 2.87/1.17 % (257642)Termination reason: Refutation
% 2.87/1.17 % (257642)Time elapsed: 0.008 s
% 2.87/1.17 % (257642)Peak memory usage: 90 MB
% 2.87/1.17 % (257642)Instructions burned: 18 (million)
% 2.87/1.17 % (257642)------------------------------
% 2.87/1.17 % (257642)------------------------------
% 2.87/1.17 % (257634)Success in time 0.315 s
% 2.87/1.17 % Vampire exiting
%------------------------------------------------------------------------------