TSTP Solution File: SWV407+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV407+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 : Mon Jun 24 17:35:54 EDT 2024
% Result : Theorem 3.53s 0.90s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 38
% Syntax : Number of formulae : 152 ( 13 unt; 0 def)
% Number of atoms : 422 ( 55 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 432 ( 162 ~; 184 |; 44 &)
% ( 25 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 22 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 212 ( 190 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12457,plain,
$false,
inference(avatar_sat_refutation,[],[f174,f179,f184,f208,f214,f284,f312,f404,f405,f880,f5943,f5944,f8419,f8444,f8584,f10193,f10203,f10215,f10240,f10514,f10515,f12443,f12452]) ).
fof(f12452,plain,
( spl7_10
| ~ spl7_243
| spl7_253
| ~ spl7_124 ),
inference(avatar_split_clause,[],[f12445,f6371,f8582,f8438,f277]) ).
fof(f277,plain,
( spl7_10
<=> create_slb = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f8438,plain,
( spl7_243
<=> contains_slb(sK1,findmin_pqp_res(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_243])]) ).
fof(f8582,plain,
( spl7_253
<=> ! [X0] : triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) = findmin_cpq_eff(triple(sK0,sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_253])]) ).
fof(f6371,plain,
( spl7_124
<=> strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_124])]) ).
fof(f12445,plain,
( ! [X0] :
( triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) = findmin_cpq_eff(triple(sK0,sK1,X0))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 )
| ~ spl7_124 ),
inference(resolution,[],[f6372,f144]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6372,plain,
( strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| ~ spl7_124 ),
inference(avatar_component_clause,[],[f6371]) ).
fof(f12443,plain,
( ~ spl7_121
| spl7_119
| spl7_124 ),
inference(avatar_split_clause,[],[f12442,f6371,f6351,f6358]) ).
fof(f6358,plain,
( spl7_121
<=> less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_121])]) ).
fof(f6351,plain,
( spl7_119
<=> less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_119])]) ).
fof(f12442,plain,
( less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl7_124 ),
inference(resolution,[],[f6373,f127]) ).
fof(f127,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6373,plain,
( ~ strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl7_124 ),
inference(avatar_component_clause,[],[f6371]) ).
fof(f10515,plain,
( spl7_23
| ~ spl7_21
| ~ spl7_347 ),
inference(avatar_split_clause,[],[f10508,f10200,f401,f769]) ).
fof(f769,plain,
( spl7_23
<=> less_than(sK6(sK0,sK1,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f401,plain,
( spl7_21
<=> pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,sK6(sK0,sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f10200,plain,
( spl7_347
<=> check_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_347])]) ).
fof(f10508,plain,
( less_than(sK6(sK0,sK1,sK3),sK3)
| ~ spl7_21
| ~ spl7_347 ),
inference(resolution,[],[f10335,f403]) ).
fof(f403,plain,
( pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,sK6(sK0,sK1,sK3))
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f10335,plain,
( ! [X0,X1] :
( ~ pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),X0,X1)
| less_than(X1,X0) )
| ~ spl7_347 ),
inference(resolution,[],[f10202,f105]) ).
fof(f105,plain,
! [X2,X0,X1,X6,X5] :
( ~ check_cpq(triple(X0,X1,X2))
| ~ pair_in_list(X1,X5,X6)
| less_than(X6,X5) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( check_cpq(triple(X0,X1,X2))
| ( ~ less_than(sK5(X1),sK4(X1))
& pair_in_list(X1,sK4(X1),sK5(X1)) ) )
& ( ! [X5,X6] :
( less_than(X6,X5)
| ~ pair_in_list(X1,X5,X6) )
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f89,f90]) ).
fof(f90,plain,
! [X1] :
( ? [X3,X4] :
( ~ less_than(X4,X3)
& pair_in_list(X1,X3,X4) )
=> ( ~ less_than(sK5(X1),sK4(X1))
& pair_in_list(X1,sK4(X1),sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( check_cpq(triple(X0,X1,X2))
| ? [X3,X4] :
( ~ less_than(X4,X3)
& pair_in_list(X1,X3,X4) ) )
& ( ! [X5,X6] :
( less_than(X6,X5)
| ~ pair_in_list(X1,X5,X6) )
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( check_cpq(triple(X0,X1,X2))
| ? [X3,X4] :
( ~ less_than(X4,X3)
& pair_in_list(X1,X3,X4) ) )
& ( ! [X3,X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4) )
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
<=> ! [X3,X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
<=> ! [X3,X4] :
( pair_in_list(X1,X3,X4)
=> less_than(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f10202,plain,
( check_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),sK2))
| ~ spl7_347 ),
inference(avatar_component_clause,[],[f10200]) ).
fof(f10514,plain,
( spl7_11
| ~ spl7_9
| ~ spl7_347 ),
inference(avatar_split_clause,[],[f10506,f10200,f267,f281]) ).
fof(f281,plain,
( spl7_11
<=> less_than(findmin_pqp_res(sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f267,plain,
( spl7_9
<=> pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,findmin_pqp_res(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f10506,plain,
( less_than(findmin_pqp_res(sK0),sK3)
| ~ spl7_9
| ~ spl7_347 ),
inference(resolution,[],[f10335,f269]) ).
fof(f269,plain,
( pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,findmin_pqp_res(sK0))
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f10240,plain,
( spl7_18
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f10239,f309,f324]) ).
fof(f324,plain,
( spl7_18
<=> contains_slb(create_slb,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f309,plain,
( spl7_15
<=> contains_cpq(triple(sK0,create_slb,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f10239,plain,
( contains_slb(create_slb,sK3)
| ~ spl7_15 ),
inference(resolution,[],[f311,f148]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f311,plain,
( contains_cpq(triple(sK0,create_slb,sK2),sK3)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f10215,plain,
~ spl7_18,
inference(avatar_contradiction_clause,[],[f10209]) ).
fof(f10209,plain,
( $false
| ~ spl7_18 ),
inference(resolution,[],[f326,f111]) ).
fof(f111,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f326,plain,
( contains_slb(create_slb,sK3)
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f10203,plain,
( spl7_347
| ~ spl7_1
| ~ spl7_244 ),
inference(avatar_split_clause,[],[f10198,f8442,f171,f10200]) ).
fof(f171,plain,
( spl7_1
<=> check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f8442,plain,
( spl7_244
<=> ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_244])]) ).
fof(f10198,plain,
( check_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),sK2))
| ~ spl7_1
| ~ spl7_244 ),
inference(backward_demodulation,[],[f173,f8443]) ).
fof(f8443,plain,
( ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),X0)
| ~ spl7_244 ),
inference(avatar_component_clause,[],[f8442]) ).
fof(f173,plain,
( check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f10193,plain,
( spl7_99
| ~ spl7_1
| ~ spl7_253 ),
inference(avatar_split_clause,[],[f10192,f8582,f171,f5378]) ).
fof(f5378,plain,
( spl7_99
<=> check_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_99])]) ).
fof(f10192,plain,
( check_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad))
| ~ spl7_1
| ~ spl7_253 ),
inference(backward_demodulation,[],[f173,f8583]) ).
fof(f8583,plain,
( ! [X0] : triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) = findmin_cpq_eff(triple(sK0,sK1,X0))
| ~ spl7_253 ),
inference(avatar_component_clause,[],[f8582]) ).
fof(f8584,plain,
( spl7_10
| spl7_253
| spl7_243 ),
inference(avatar_split_clause,[],[f8578,f8438,f8582,f277]) ).
fof(f8578,plain,
( ! [X0] :
( triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) = findmin_cpq_eff(triple(sK0,sK1,X0))
| create_slb = sK1 )
| spl7_243 ),
inference(resolution,[],[f8440,f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( contains_slb(X1,findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f8440,plain,
( ~ contains_slb(sK1,findmin_pqp_res(sK0))
| spl7_243 ),
inference(avatar_component_clause,[],[f8438]) ).
fof(f8444,plain,
( spl7_10
| ~ spl7_243
| spl7_244
| ~ spl7_119 ),
inference(avatar_split_clause,[],[f8431,f6351,f8442,f8438,f277]) ).
fof(f8431,plain,
( ! [X0] :
( findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),X0)
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 )
| ~ spl7_119 ),
inference(resolution,[],[f6353,f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6353,plain,
( less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ spl7_119 ),
inference(avatar_component_clause,[],[f6351]) ).
fof(f8419,plain,
( spl7_121
| spl7_119 ),
inference(avatar_split_clause,[],[f8395,f6351,f6358]) ).
fof(f8395,plain,
( less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl7_119 ),
inference(resolution,[],[f6352,f122]) ).
fof(f122,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6352,plain,
( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| spl7_119 ),
inference(avatar_component_clause,[],[f6351]) ).
fof(f5944,plain,
( spl7_11
| ~ spl7_9
| ~ spl7_99 ),
inference(avatar_split_clause,[],[f5937,f5378,f267,f281]) ).
fof(f5937,plain,
( less_than(findmin_pqp_res(sK0),sK3)
| ~ spl7_9
| ~ spl7_99 ),
inference(resolution,[],[f5849,f269]) ).
fof(f5849,plain,
( ! [X0,X1] :
( ~ pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),X0,X1)
| less_than(X1,X0) )
| ~ spl7_99 ),
inference(resolution,[],[f5380,f105]) ).
fof(f5380,plain,
( check_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad))
| ~ spl7_99 ),
inference(avatar_component_clause,[],[f5378]) ).
fof(f5943,plain,
( spl7_23
| ~ spl7_21
| ~ spl7_99 ),
inference(avatar_split_clause,[],[f5936,f5378,f401,f769]) ).
fof(f5936,plain,
( less_than(sK6(sK0,sK1,sK3),sK3)
| ~ spl7_21
| ~ spl7_99 ),
inference(resolution,[],[f5849,f403]) ).
fof(f880,plain,
( ~ spl7_23
| ~ spl7_8
| spl7_11 ),
inference(avatar_split_clause,[],[f879,f281,f263,f769]) ).
fof(f263,plain,
( spl7_8
<=> less_than(findmin_pqp_res(sK0),sK6(sK0,sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f879,plain,
( ~ less_than(sK6(sK0,sK1,sK3),sK3)
| ~ spl7_8
| spl7_11 ),
inference(resolution,[],[f605,f265]) ).
fof(f265,plain,
( less_than(findmin_pqp_res(sK0),sK6(sK0,sK1,sK3))
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f605,plain,
( ! [X0] :
( ~ less_than(findmin_pqp_res(sK0),X0)
| ~ less_than(X0,sK3) )
| spl7_11 ),
inference(resolution,[],[f283,f135]) ).
fof(f135,plain,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( less_than(X1,X2)
& less_than(X0,X1) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f283,plain,
( ~ less_than(findmin_pqp_res(sK0),sK3)
| spl7_11 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f405,plain,
( ~ spl7_7
| spl7_8
| spl7_9
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f337,f176,f267,f263,f211]) ).
fof(f211,plain,
( spl7_7
<=> contains_slb(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f176,plain,
( spl7_2
<=> strictly_less_than(sK3,removemin_cpq_res(triple(sK0,sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f337,plain,
( pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,findmin_pqp_res(sK0))
| less_than(findmin_pqp_res(sK0),sK6(sK0,sK1,sK3))
| ~ contains_slb(sK1,sK3)
| ~ spl7_2 ),
inference(resolution,[],[f178,f162]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,removemin_cpq_res(triple(X0,X1,X2)))
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| less_than(findmin_pqp_res(X0),sK6(X0,X1,X3))
| ~ contains_slb(X1,X3) ),
inference(definition_unfolding,[],[f109,f116]) ).
fof(f116,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( less_than(findmin_pqp_res(X0),sK6(X0,X1,X3))
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ( less_than(findmin_pqp_res(X0),sK6(X0,X1,X3))
& pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,sK6(X0,X1,X3)) )
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_slb(X1,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f57,f92]) ).
fof(f92,plain,
! [X0,X1,X3] :
( ? [X4] :
( less_than(findmin_pqp_res(X0),X4)
& pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
=> ( less_than(findmin_pqp_res(X0),sK6(X0,X1,X3))
& pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,sK6(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( less_than(findmin_pqp_res(X0),X4)
& pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( less_than(findmin_pqp_res(X0),X4)
& pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
& contains_slb(X1,X3) )
=> ( ? [X4] :
( less_than(findmin_pqp_res(X0),X4)
& pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f178,plain,
( strictly_less_than(sK3,removemin_cpq_res(triple(sK0,sK1,sK2)))
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f404,plain,
( ~ spl7_7
| spl7_21
| spl7_9
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f342,f176,f267,f401,f211]) ).
fof(f342,plain,
( pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,findmin_pqp_res(sK0))
| pair_in_list(update_slb(sK1,findmin_pqp_res(sK0)),sK3,sK6(sK0,sK1,sK3))
| ~ contains_slb(sK1,sK3)
| ~ spl7_2 ),
inference(resolution,[],[f163,f178]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,removemin_cpq_res(triple(X0,X1,X2)))
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,sK6(X0,X1,X3))
| ~ contains_slb(X1,X3) ),
inference(definition_unfolding,[],[f108,f116]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,sK6(X0,X1,X3))
| pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
| ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f93]) ).
fof(f312,plain,
( spl7_15
| ~ spl7_3
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f297,f277,f181,f309]) ).
fof(f181,plain,
( spl7_3
<=> contains_cpq(triple(sK0,sK1,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f297,plain,
( contains_cpq(triple(sK0,create_slb,sK2),sK3)
| ~ spl7_3
| ~ spl7_10 ),
inference(backward_demodulation,[],[f183,f279]) ).
fof(f279,plain,
( create_slb = sK1
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f183,plain,
( contains_cpq(triple(sK0,sK1,sK2),sK3)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f284,plain,
( spl7_10
| ~ spl7_11
| spl7_6 ),
inference(avatar_split_clause,[],[f271,f205,f281,f277]) ).
fof(f205,plain,
( spl7_6
<=> less_than(removemin_cpq_res(triple(sK0,sK1,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f271,plain,
( ~ less_than(findmin_pqp_res(sK0),sK3)
| create_slb = sK1
| spl7_6 ),
inference(superposition,[],[f207,f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(definition_unfolding,[],[f137,f116]) ).
fof(f137,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f207,plain,
( ~ less_than(removemin_cpq_res(triple(sK0,sK1,sK2)),sK3)
| spl7_6 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f214,plain,
( spl7_7
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f209,f181,f211]) ).
fof(f209,plain,
( contains_slb(sK1,sK3)
| ~ spl7_3 ),
inference(resolution,[],[f148,f183]) ).
fof(f208,plain,
( ~ spl7_6
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f202,f176,f205]) ).
fof(f202,plain,
( ~ less_than(removemin_cpq_res(triple(sK0,sK1,sK2)),sK3)
| ~ spl7_2 ),
inference(resolution,[],[f126,f178]) ).
fof(f126,plain,
! [X0,X1] :
( ~ strictly_less_than(X0,X1)
| ~ less_than(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f184,plain,
spl7_3,
inference(avatar_split_clause,[],[f102,f181]) ).
fof(f102,plain,
contains_cpq(triple(sK0,sK1,sK2),sK3),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& strictly_less_than(sK3,findmin_cpq_res(triple(sK0,sK1,sK2)))
& contains_cpq(triple(sK0,sK1,sK2),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f54,f86,f85]) ).
fof(f85,plain,
( ? [X0,X1,X2] :
( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ? [X3] :
( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
& contains_cpq(triple(X0,X1,X2),X3) ) )
=> ( check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ? [X3] :
( strictly_less_than(X3,findmin_cpq_res(triple(sK0,sK1,sK2)))
& contains_cpq(triple(sK0,sK1,sK2),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X3] :
( strictly_less_than(X3,findmin_cpq_res(triple(sK0,sK1,sK2)))
& contains_cpq(triple(sK0,sK1,sK2),X3) )
=> ( strictly_less_than(sK3,findmin_cpq_res(triple(sK0,sK1,sK2)))
& contains_cpq(triple(sK0,sK1,sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ? [X3] :
( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
& contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ? [X3] :
( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
& contains_cpq(triple(X0,X1,X2),X3) )
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ? [X3] :
( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
& contains_cpq(triple(X0,X1,X2),X3) )
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f179,plain,
spl7_2,
inference(avatar_split_clause,[],[f161,f176]) ).
fof(f161,plain,
strictly_less_than(sK3,removemin_cpq_res(triple(sK0,sK1,sK2))),
inference(definition_unfolding,[],[f103,f116]) ).
fof(f103,plain,
strictly_less_than(sK3,findmin_cpq_res(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f87]) ).
fof(f174,plain,
spl7_1,
inference(avatar_split_clause,[],[f104,f171]) ).
fof(f104,plain,
check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV407+1 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 20 16:45:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7257)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7258)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7259)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7254)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7255)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7260)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.21/0.43 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7256)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.21/0.47 % (7257)Instruction limit reached!
% 0.21/0.47 % (7257)------------------------------
% 0.21/0.47 % (7257)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (7257)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (7257)Termination reason: Time limit
% 0.21/0.47 % (7257)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (7257)Memory used [KB]: 1386
% 0.21/0.47 % (7257)Time elapsed: 0.045 s
% 0.21/0.47 % (7257)Instructions burned: 103 (million)
% 0.21/0.48 % (7259)Instruction limit reached!
% 0.21/0.48 % (7259)------------------------------
% 0.21/0.48 % (7259)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (7259)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (7259)Termination reason: Time limit
% 0.21/0.48 % (7259)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (7259)Memory used [KB]: 1540
% 0.21/0.48 % (7259)Time elapsed: 0.060 s
% 0.21/0.48 % (7259)Instructions burned: 113 (million)
% 0.21/0.50 % (7260)Instruction limit reached!
% 0.21/0.50 % (7260)------------------------------
% 0.21/0.50 % (7260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (7260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (7260)Termination reason: Time limit
% 0.21/0.50 % (7260)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (7260)Memory used [KB]: 1938
% 0.21/0.50 % (7260)Time elapsed: 0.072 s
% 0.21/0.50 % (7260)Instructions burned: 128 (million)
% 0.21/0.50 % (7258)Instruction limit reached!
% 0.21/0.50 % (7258)------------------------------
% 0.21/0.50 % (7258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (7258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (7258)Termination reason: Time limit
% 0.21/0.50 % (7258)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (7258)Memory used [KB]: 2161
% 0.21/0.50 % (7258)Time elapsed: 0.080 s
% 0.21/0.50 % (7258)Instructions burned: 121 (million)
% 0.21/0.52 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (7261)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2998ds/123Mi)
% 0.21/0.52 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (7262)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2998ds/205Mi)
% 0.21/0.53 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (7263)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.21/0.54 % (7253)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (7264)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 1.44/0.56 % (7261)Instruction limit reached!
% 1.44/0.56 % (7261)------------------------------
% 1.44/0.56 % (7261)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.44/0.56 % (7261)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.44/0.56 % (7261)Termination reason: Time limit
% 1.44/0.56 % (7261)Termination phase: Saturation
% 1.44/0.56
% 1.44/0.56 % (7261)Memory used [KB]: 2025
% 1.44/0.56 % (7261)Time elapsed: 0.043 s
% 1.44/0.56 % (7261)Instructions burned: 125 (million)
% 1.64/0.59 % (7264)Instruction limit reached!
% 1.64/0.59 % (7264)------------------------------
% 1.64/0.59 % (7264)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.64/0.59 % (7264)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.64/0.59 % (7264)Termination reason: Time limit
% 1.64/0.59 % (7264)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (7264)Memory used [KB]: 4078
% 1.64/0.59 % (7264)Time elapsed: 0.052 s
% 1.64/0.59 % (7264)Instructions burned: 146 (million)
% 1.64/0.59 % (7262)Instruction limit reached!
% 1.64/0.59 % (7262)------------------------------
% 1.64/0.59 % (7262)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.64/0.59 % (7262)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.64/0.59 % (7262)Termination reason: Time limit
% 1.64/0.59 % (7262)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (7262)Memory used [KB]: 2906
% 1.64/0.59 % (7262)Time elapsed: 0.074 s
% 1.64/0.59 % (7262)Instructions burned: 205 (million)
% 1.64/0.59 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.59 % (7265)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 1.64/0.60 % (7263)Instruction limit reached!
% 1.64/0.60 % (7263)------------------------------
% 1.64/0.60 % (7263)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.64/0.60 % (7263)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.64/0.60 % (7263)Termination reason: Time limit
% 1.64/0.60 % (7263)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (7263)Memory used [KB]: 2849
% 1.64/0.60 % (7263)Time elapsed: 0.071 s
% 1.64/0.60 % (7263)Instructions burned: 182 (million)
% 1.64/0.62 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.62 % (7266)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2997ds/113Mi)
% 1.64/0.63 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.63 % (7267)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2997ds/114Mi)
% 1.64/0.63 % (7265)Instruction limit reached!
% 1.64/0.63 % (7265)------------------------------
% 1.64/0.63 % (7265)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.64/0.63 % (7265)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.64/0.63 % (7265)Termination reason: Time limit
% 1.64/0.63 % (7265)Termination phase: Saturation
% 1.64/0.63
% 1.64/0.63 % (7265)Memory used [KB]: 1788
% 1.64/0.63 % (7265)Time elapsed: 0.039 s
% 1.64/0.63 % (7265)Instructions burned: 115 (million)
% 1.92/0.63 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.92/0.63 % (7268)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2997ds/253Mi)
% 1.98/0.65 % (7266)Instruction limit reached!
% 1.98/0.65 % (7266)------------------------------
% 1.98/0.65 % (7266)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.65 % (7266)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.65 % (7266)Termination reason: Time limit
% 1.98/0.65 % (7266)Termination phase: Saturation
% 1.98/0.65
% 1.98/0.65 % (7266)Memory used [KB]: 1329
% 1.98/0.65 % (7266)Time elapsed: 0.029 s
% 1.98/0.65 % (7266)Instructions burned: 115 (million)
% 1.98/0.67 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.67 % (7269)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2997ds/150Mi)
% 1.98/0.67 % (7267)Instruction limit reached!
% 1.98/0.67 % (7267)------------------------------
% 1.98/0.67 % (7267)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.67 % (7267)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.67 % (7267)Termination reason: Time limit
% 1.98/0.67 % (7267)Termination phase: Saturation
% 1.98/0.67
% 1.98/0.67 % (7267)Memory used [KB]: 1894
% 1.98/0.67 % (7267)Time elapsed: 0.043 s
% 1.98/0.67 % (7267)Instructions burned: 114 (million)
% 1.98/0.69 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.69 % (7270)lrs+1010_1:1_tgt=ground:fde=unused:sp=const_frequency:nwc=5.0:sac=on:avsq=on:i=196:avsqr=1,8:fsd=on:sil=64000:gs=on:rnwc=on_0 on theBenchmark for (2997ds/196Mi)
% 1.98/0.70 % (7268)Instruction limit reached!
% 1.98/0.70 % (7268)------------------------------
% 1.98/0.70 % (7268)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.70 % (7268)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.70 % (7268)Termination reason: Time limit
% 1.98/0.70 % (7268)Termination phase: Saturation
% 1.98/0.70
% 1.98/0.70 % (7268)Memory used [KB]: 1634
% 1.98/0.70 % (7268)Time elapsed: 0.070 s
% 1.98/0.70 % (7268)Instructions burned: 255 (million)
% 1.98/0.70 % (7253)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.70 % (7271)lrs+1002_1:1_sil=4000:i=107:sd=2:ep=RS:av=off:ss=axioms:sos=on:erd=off_0 on theBenchmark for (2997ds/107Mi)
% 2.40/0.72 % (7269)Instruction limit reached!
% 2.40/0.72 % (7269)------------------------------
% 2.40/0.72 % (7269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.40/0.72 % (7269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.40/0.72 % (7269)Termination reason: Time limit
% 2.40/0.72 % (7269)Termination phase: Saturation
% 2.40/0.72
% 2.40/0.72 % (7269)Memory used [KB]: 2714
% 2.40/0.72 % (7269)Time elapsed: 0.073 s
% 2.40/0.72 % (7269)Instructions burned: 152 (million)
% 2.40/0.74 % (7253)Running in auto input_syntax mode. Trying TPTP
% 2.40/0.74 % (7272)lrs+10_1:1024_sil=2000:st=2.0:i=107:sd=2:ss=included:ep=R_0 on theBenchmark for (2996ds/107Mi)
% 2.40/0.74 % (7271)Instruction limit reached!
% 2.40/0.74 % (7271)------------------------------
% 2.40/0.74 % (7271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.40/0.74 % (7271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.40/0.74 % (7271)Termination reason: Time limit
% 2.40/0.74 % (7271)Termination phase: Saturation
% 2.40/0.74
% 2.40/0.74 % (7271)Memory used [KB]: 1727
% 2.40/0.74 % (7271)Time elapsed: 0.058 s
% 2.40/0.74 % (7271)Instructions burned: 109 (million)
% 2.40/0.75 % (7270)Instruction limit reached!
% 2.40/0.75 % (7270)------------------------------
% 2.40/0.75 % (7270)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.40/0.75 % (7270)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.40/0.75 % (7270)Termination reason: Time limit
% 2.40/0.75 % (7270)Termination phase: Saturation
% 2.40/0.75
% 2.40/0.75 % (7270)Memory used [KB]: 2353
% 2.40/0.75 % (7270)Time elapsed: 0.087 s
% 2.40/0.75 % (7270)Instructions burned: 197 (million)
% 2.40/0.75 % (7253)Running in auto input_syntax mode. Trying TPTP
% 2.40/0.75 % (7273)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=147:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2996ds/147Mi)
% 2.80/0.76 % (7272)Instruction limit reached!
% 2.80/0.76 % (7272)------------------------------
% 2.80/0.76 % (7272)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.76 % (7272)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.76 % (7272)Termination reason: Time limit
% 2.80/0.76 % (7272)Termination phase: Saturation
% 2.80/0.76
% 2.80/0.76 % (7272)Memory used [KB]: 1302
% 2.80/0.76 % (7272)Time elapsed: 0.030 s
% 2.80/0.76 % (7272)Instructions burned: 107 (million)
% 2.80/0.77 % (7253)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.77 % (7274)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=116:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2996ds/116Mi)
% 2.80/0.78 % (7253)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.78 % (7275)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=304:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2996ds/304Mi)
% 2.80/0.79 % (7273)Instruction limit reached!
% 2.80/0.79 % (7273)------------------------------
% 2.80/0.79 % (7273)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.79 % (7273)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.79 % (7273)Termination reason: Time limit
% 2.80/0.79 % (7273)Termination phase: Saturation
% 2.80/0.79
% 2.80/0.79 % (7273)Memory used [KB]: 2060
% 2.80/0.79 % (7273)Time elapsed: 0.046 s
% 2.80/0.79 % (7273)Instructions burned: 148 (million)
% 2.80/0.80 % (7253)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.80 % (7276)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=135:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2996ds/135Mi)
% 2.80/0.81 % (7274)Instruction limit reached!
% 2.80/0.81 % (7274)------------------------------
% 2.80/0.81 % (7274)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.81 % (7274)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.81 % (7274)Termination reason: Time limit
% 2.80/0.81 % (7274)Termination phase: Saturation
% 2.80/0.81
% 2.80/0.81 % (7274)Memory used [KB]: 2554
% 2.80/0.81 % (7274)Time elapsed: 0.041 s
% 2.80/0.81 % (7274)Instructions burned: 116 (million)
% 2.80/0.83 % (7253)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.83 WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 2.80/0.83 % (7277)dis+1010_1:1_sil=2000:urr=on:lcm=predicate:i=261:ile=on:gs=on:br=off_0 on theBenchmark for (2995ds/261Mi)
% 2.80/0.84 % (7276)Instruction limit reached!
% 2.80/0.84 % (7276)------------------------------
% 2.80/0.84 % (7276)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.84 % (7276)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.84 % (7276)Termination reason: Time limit
% 2.80/0.84 % (7276)Termination phase: Saturation
% 2.80/0.84
% 2.80/0.84 % (7276)Memory used [KB]: 1508
% 2.80/0.84 % (7276)Time elapsed: 0.045 s
% 2.80/0.84 % (7276)Instructions burned: 137 (million)
% 3.34/0.84 % (7253)Running in auto input_syntax mode. Trying TPTP
% 3.34/0.84 % (7279)lrs+21_1:1_to=lpo:sil=2000:sp=const_min:st=3.0:i=109:sd=1:erml=4:ss=axioms:er=filter:alpa=true:amm=sco:bd=off_0 on theBenchmark for (2995ds/109Mi)
% 3.34/0.87 % (7253)Running in auto input_syntax mode. Trying TPTP
% 3.34/0.87 % (7284)dis+1011_5:1_sil=2000:fde=unused:nwc=10.0:i=118:ep=R:fs=off:fsr=off:awrs=converge_0 on theBenchmark for (2995ds/118Mi)
% 3.34/0.88 % (7279)Instruction limit reached!
% 3.34/0.88 % (7279)------------------------------
% 3.34/0.88 % (7279)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.34/0.88 % (7279)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.34/0.88 % (7279)Termination reason: Time limit
% 3.34/0.88 % (7279)Termination phase: Saturation
% 3.34/0.88
% 3.34/0.88 % (7279)Memory used [KB]: 1699
% 3.34/0.88 % (7279)Time elapsed: 0.033 s
% 3.34/0.88 % (7279)Instructions burned: 111 (million)
% 3.53/0.89 % (7275)Instruction limit reached!
% 3.53/0.89 % (7275)------------------------------
% 3.53/0.89 % (7275)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.53/0.89 % (7275)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.53/0.89 % (7275)Termination reason: Time limit
% 3.53/0.89 % (7275)Termination phase: Saturation
% 3.53/0.89
% 3.53/0.89 % (7275)Memory used [KB]: 4333
% 3.53/0.89 % (7275)Time elapsed: 0.111 s
% 3.53/0.89 % (7275)Instructions burned: 306 (million)
% 3.53/0.90 % (7254)First to succeed.
% 3.53/0.90 % (7254)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7253"
% 3.53/0.90 % (7253)Running in auto input_syntax mode. Trying TPTP
% 3.53/0.90 % (7254)Refutation found. Thanks to Tanya!
% 3.53/0.90 % SZS status Theorem for theBenchmark
% 3.53/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/0.90 % (7254)------------------------------
% 3.53/0.90 % (7254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.53/0.90 % (7254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.53/0.90 % (7254)Termination reason: Refutation
% 3.53/0.90
% 3.53/0.90 % (7254)Memory used [KB]: 8695
% 3.53/0.90 % (7254)Time elapsed: 0.475 s
% 3.53/0.90 % (7254)Instructions burned: 1186 (million)
% 3.53/0.90 % (7254)------------------------------
% 3.53/0.90 % (7254)------------------------------
% 3.53/0.90 % (7253)Success in time 0.53 s
%------------------------------------------------------------------------------