TSTP Solution File: SET861-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET861-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Tue May 21 03:13:43 EDT 2024
% Result : Unsatisfiable 1.10s 1.01s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 96 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 1572 ( 3 equ)
% Maximal formula atoms : 9 ( 16 avg)
% Number of connectives : 471 ( 209 ~; 253 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1215 (1215 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 12 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 205 ( 204 !; 0 ?; 197 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1048,plain,
$false,
inference(avatar_sat_refutation,[],[f210,f451,f454,f465,f497,f535,f537,f539,f1040]) ).
tff(f1040,plain,
( ~ spl1_19
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f1033,f495,f484]) ).
tff(f484,plain,
( spl1_19
<=> c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
tff(f495,plain,
( spl1_22
<=> ! [X1] :
( ~ c_in(X1,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
tff(f1033,plain,
( ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| ~ spl1_22 ),
inference(resolution,[],[f792,f31]) ).
tff(f31,plain,
! [X0: $i] :
( ~ c_lessequals(v_xa(X0),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f28,f18]) ).
tff(f18,plain,
! [X8: $i] :
( ~ sQ0_eqProxy($i,v_xa(X8),X8)
| ~ c_in(X8,v_S,tc_set(t_a)) ),
inference(equality_proxy_replacement,[],[f14,f16]) ).
tff(f16,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f14,axiom,
! [X8: $i] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ( v_xa(X8) != X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tff(f28,plain,
! [X0: $i] :
( sQ0_eqProxy($i,v_xa(X0),X0)
| ~ c_lessequals(v_xa(X0),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f17,f13]) ).
tff(f13,axiom,
! [X8: $i] :
( c_lessequals(X8,v_xa(X8),tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
tff(f17,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| sQ0_eqProxy($i,X0,X1)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(equality_proxy_replacement,[],[f1,f16]) ).
tff(f1,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
tff(f792,plain,
( c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl1_22 ),
inference(duplicate_literal_removal,[],[f785]) ).
tff(f785,plain,
( c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl1_22 ),
inference(resolution,[],[f550,f131]) ).
tff(f131,plain,
! [X0: $i] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X0,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f123,f73]) ).
tff(f73,plain,
c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)),
inference(resolution,[],[f43,f11]) ).
tff(f11,axiom,
! [X8: $i] :
( ~ c_in(X8,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(v_x(X8),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(f43,plain,
! [X0: $i,X1: $i] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f25,f7]) ).
tff(f7,axiom,
! [X2: $i,X5: $i] : c_in(c_Zorn_OHausdorff__1(X5,X2),c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
tff(f25,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f2,f8]) ).
tff(f8,axiom,
! [X2: $i,X5: $i] : c_lessequals(c_Zorn_Omaxchain(X5,X2),c_Zorn_Ochain(X5,X2),tc_set(tc_set(tc_set(X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
tff(f2,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| c_in(X3,X0,X2)
| ~ c_in(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
tff(f123,plain,
! [X0: $i] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
inference(resolution,[],[f74,f84]) ).
tff(f84,plain,
! [X0: $i] :
( c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| ~ c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
inference(resolution,[],[f73,f24]) ).
tff(f24,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| c_in(X0,v_xa(X1),t_a) ),
inference(resolution,[],[f2,f13]) ).
tff(f74,plain,
! [X0: $i,X1: $i] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(X1)),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(X1)),tc_set(t_a)) ),
inference(resolution,[],[f41,f4]) ).
tff(f4,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(c_Main_OsubsetI__1(X1,X0,X2),X0,X2)
| c_lessequals(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
tff(f41,plain,
! [X0: $i,X1: $i] :
( c_in(X0,v_xa(v_xa(X1)),t_a)
| ~ c_in(X0,v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f24,f12]) ).
tff(f12,axiom,
! [X8: $i] :
( c_in(v_xa(X8),v_S,tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(f550,plain,
( ! [X0: $i] :
( c_in(c_Main_OsubsetI__1(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),X0,tc_set(t_a)) )
| ~ spl1_22 ),
inference(resolution,[],[f496,f3]) ).
tff(f3,axiom,
! [X2: $i,X0: $i,X1: $i] :
( c_in(c_Main_OsubsetI__1(X1,X0,X2),X1,X2)
| c_lessequals(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
tff(f496,plain,
( ! [X1: $i] :
( ~ c_in(X1,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f495]) ).
tff(f539,plain,
( ~ spl1_19
| spl1_21 ),
inference(avatar_split_clause,[],[f538,f492,f484]) ).
tff(f492,plain,
( spl1_21
<=> c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
tff(f538,plain,
( ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| spl1_21 ),
inference(resolution,[],[f493,f12]) ).
tff(f493,plain,
( ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a))
| spl1_21 ),
inference(avatar_component_clause,[],[f492]) ).
tff(f537,plain,
( ~ spl1_17
| spl1_19 ),
inference(avatar_split_clause,[],[f536,f484,f476]) ).
tff(f476,plain,
( spl1_17
<=> c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f536,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl1_19 ),
inference(resolution,[],[f485,f12]) ).
tff(f485,plain,
( ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| spl1_19 ),
inference(avatar_component_clause,[],[f484]) ).
tff(f535,plain,
spl1_17,
inference(avatar_contradiction_clause,[],[f534]) ).
tff(f534,plain,
( $false
| spl1_17 ),
inference(subsumption_resolution,[],[f533,f73]) ).
tff(f533,plain,
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| spl1_17 ),
inference(resolution,[],[f477,f12]) ).
tff(f477,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl1_17 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f497,plain,
( ~ spl1_21
| spl1_22
| spl1_22
| ~ spl1_2
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f490,f449,f207,f495,f495,f492]) ).
tff(f207,plain,
( spl1_2
<=> ! [X0,X1] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| ~ c_in(X0,X1,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f449,plain,
( spl1_16
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X1,t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f490,plain,
( ! [X0: $i,X1: $i] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| ~ c_in(X1,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl1_2
| ~ spl1_16 ),
inference(subsumption_resolution,[],[f468,f208]) ).
tff(f208,plain,
( ! [X0: $i,X1: $i] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,X1,t_a) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f468,plain,
( ! [X0: $i,X1: $i] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| ~ c_in(X1,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) )
| ~ spl1_16 ),
inference(resolution,[],[f450,f182]) ).
tff(f182,plain,
! [X0: $i] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f174,f73]) ).
tff(f174,plain,
! [X0: $i] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
inference(resolution,[],[f126,f84]) ).
tff(f126,plain,
! [X0: $i,X1: $i] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(X0))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(X0))),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f118,f12]) ).
tff(f118,plain,
! [X0: $i,X1: $i] :
( ~ c_in(v_xa(X0),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(X0))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(X0))),t_a),v_xa(X0),t_a)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f74,f41]) ).
tff(f450,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X1,t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f449]) ).
tff(f465,plain,
( spl1_16
| ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f464,f207,f204,f449]) ).
tff(f204,plain,
( spl1_1
<=> ! [X2,X3] :
( c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X3,v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X2,X3,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f464,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(X0,X1,t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X1,t_a) )
| ~ spl1_1
| ~ spl1_2 ),
inference(duplicate_literal_removal,[],[f461]) ).
tff(f461,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(X0,X1,t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X1,t_a) )
| ~ spl1_1
| ~ spl1_2 ),
inference(resolution,[],[f456,f208]) ).
tff(f456,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X2,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl1_1 ),
inference(resolution,[],[f455,f3]) ).
tff(f455,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(X2,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),t_a)
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X0,t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,v_S,tc_set(t_a)) )
| ~ spl1_1 ),
inference(resolution,[],[f205,f99]) ).
tff(f99,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X0,t_a) ),
inference(resolution,[],[f72,f2]) ).
tff(f72,plain,
! [X0: $i] :
( c_lessequals(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f43,f15]) ).
tff(f15,axiom,
! [X8: $i,X9: $i] :
( ~ c_in(X8,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X9,X8,tc_set(t_a))
| c_lessequals(X9,v_x(X8),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
tff(f205,plain,
( ! [X2: $i,X3: $i] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a))
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X3,t_a) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f204]) ).
tff(f454,plain,
( spl1_1
| spl1_15 ),
inference(avatar_split_clause,[],[f452,f446,f204]) ).
tff(f446,plain,
( spl1_15
<=> c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
tff(f452,plain,
( ! [X0: $i,X1: $i] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,X1,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) )
| spl1_15 ),
inference(resolution,[],[f447,f56]) ).
tff(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X0,X1),X2,X1),c_Zorn_OHausdorff__1(X0,X1),tc_set(X1))
| c_in(X3,X2,X1)
| ~ c_in(X3,X4,X1)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X0,X1),X4,X1),c_Zorn_OHausdorff__1(X0,X1),tc_set(X1))
| ~ c_in(X4,X0,tc_set(X1)) ),
inference(resolution,[],[f55,f7]) ).
tff(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| c_in(X0,X1,X2)
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X3,X5,X2),X3,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f38,f25]) ).
tff(f38,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( c_in(X0,X1,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X3,X5,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f9,f5]) ).
tff(f5,axiom,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X4,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
tff(f9,axiom,
! [X2: $i,X3: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X7,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
tff(f447,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| spl1_15 ),
inference(avatar_component_clause,[],[f446]) ).
tff(f451,plain,
( ~ spl1_15
| spl1_16
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f444,f207,f449,f446]) ).
tff(f444,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(X0,X1,t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X1,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) )
| ~ spl1_2 ),
inference(resolution,[],[f439,f72]) ).
tff(f439,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X0,tc_set(t_a))
| ~ c_in(X1,X2,t_a)
| c_in(X1,X0,t_a)
| ~ c_in(X2,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(X3,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X3,X2,t_a) )
| ~ spl1_2 ),
inference(duplicate_literal_removal,[],[f436]) ).
tff(f436,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X0,tc_set(t_a))
| ~ c_in(X1,X2,t_a)
| c_in(X1,X0,t_a)
| ~ c_in(X2,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,v_S,tc_set(t_a))
| c_in(X3,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X3,X2,t_a) )
| ~ spl1_2 ),
inference(resolution,[],[f308,f208]) ).
tff(f308,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X1,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a))
| ~ c_in(X3,X0,t_a)
| c_in(X3,X2,t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
inference(resolution,[],[f155,f3]) ).
tff(f155,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a))
| ~ c_in(X3,X1,t_a)
| c_in(X3,X2,t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f99,f62]) ).
tff(f62,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X4,X2),c_Zorn_OHausdorff__1(X3,X2),tc_set(X2))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),X1,tc_set(X2))
| ~ c_in(X0,X4,X2)
| c_in(X0,X1,X2)
| ~ c_in(X4,X3,tc_set(X2)) ),
inference(resolution,[],[f61,f7]) ).
tff(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ c_in(X0,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(X3,X1,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X3,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X0,X5,X2),X0,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f40,f25]) ).
tff(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,X2),X1,tc_set(X2))
| c_in(X3,X1,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X0,X5,X2),X0,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f10,f5]) ).
tff(f10,axiom,
! [X2: $i,X3: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X7,X2),X7,tc_set(X2))
| c_in(X4,X7,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
tff(f210,plain,
( spl1_2
| spl1_2 ),
inference(avatar_split_clause,[],[f202,f207,f207]) ).
tff(f202,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X3,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),X3,tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a)) ),
inference(resolution,[],[f100,f53]) ).
tff(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X0,X1),X2,X1),c_Zorn_OHausdorff__1(X0,X1),tc_set(X1))
| c_in(X3,X2,X1)
| ~ c_in(X3,X4,X1)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X0,X1),X4,X1),X4,tc_set(X1))
| ~ c_in(X4,X0,tc_set(X1)) ),
inference(resolution,[],[f52,f7]) ).
tff(f52,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| c_in(X0,X1,X2)
| ~ c_in(X0,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X5,X2),X5,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f37,f25]) ).
tff(f37,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( c_in(X0,X1,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X5,X2),X5,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f9,f6]) ).
tff(f6,axiom,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X4,X2),X4,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
tff(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X2,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X0,t_a),X2,t_a),X2,tc_set(t_a))
| ~ c_in(X2,X0,tc_set(t_a)) ),
inference(resolution,[],[f72,f59]) ).
tff(f59,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),X1,tc_set(X2))
| c_in(X0,X1,X2)
| ~ c_in(X0,X4,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X4,X2),X4,tc_set(X2))
| ~ c_in(X4,X3,tc_set(X2)) ),
inference(resolution,[],[f58,f7]) ).
tff(f58,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ c_in(X0,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(X3,X1,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X3,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X5,X2),X5,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f39,f25]) ).
tff(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,X2),X1,tc_set(X2))
| c_in(X3,X1,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X5,X2),X5,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f10,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET861-2 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 11:25:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90 % (24231)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.91 % (24233)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.91 % (24234)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.91 % (24231)Refutation not found, incomplete strategy% (24231)------------------------------
% 0.73/0.91 % (24231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (24231)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (24231)Memory used [KB]: 970
% 0.73/0.91 % (24231)Time elapsed: 0.002 s
% 0.73/0.91 % (24231)Instructions burned: 3 (million)
% 0.73/0.91 % (24236)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.91 % (24235)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.91 % (24237)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.73/0.91 % (24231)------------------------------
% 0.73/0.91 % (24231)------------------------------
% 0.73/0.91 % (24234)Refutation not found, incomplete strategy% (24234)------------------------------
% 0.73/0.91 % (24234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (24234)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (24234)Memory used [KB]: 954
% 0.73/0.91 % (24234)Time elapsed: 0.002 s
% 0.73/0.91 % (24234)Instructions burned: 2 (million)
% 0.73/0.91 % (24236)Refutation not found, incomplete strategy% (24236)------------------------------
% 0.73/0.91 % (24236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (24236)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (24236)Memory used [KB]: 967
% 0.73/0.91 % (24236)Time elapsed: 0.003 s
% 0.73/0.91 % (24236)Instructions burned: 2 (million)
% 0.73/0.91 % (24234)------------------------------
% 0.73/0.91 % (24234)------------------------------
% 0.73/0.91 % (24238)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.91 % (24236)------------------------------
% 0.73/0.91 % (24236)------------------------------
% 0.73/0.91 % (24238)Refutation not found, incomplete strategy% (24238)------------------------------
% 0.73/0.91 % (24238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (24238)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (24238)Memory used [KB]: 969
% 0.73/0.91 % (24238)Time elapsed: 0.003 s
% 0.73/0.91 % (24238)Instructions burned: 2 (million)
% 0.73/0.91 % (24232)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.73/0.91 % (24238)------------------------------
% 0.73/0.91 % (24238)------------------------------
% 0.73/0.91 % (24240)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.73/0.91 % (24241)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.73/0.91 % (24242)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.73/0.92 % (24239)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.73/0.92 % (24235)Instruction limit reached!
% 0.73/0.92 % (24235)------------------------------
% 0.73/0.92 % (24235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.92 % (24235)Termination reason: Unknown
% 0.73/0.92 % (24235)Termination phase: Saturation
% 0.73/0.92
% 0.73/0.92 % (24235)Memory used [KB]: 1256
% 0.73/0.92 % (24235)Time elapsed: 0.020 s
% 0.73/0.92 % (24235)Instructions burned: 35 (million)
% 0.73/0.92 % (24235)------------------------------
% 0.73/0.92 % (24235)------------------------------
% 0.73/0.93 % (24243)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.73/0.94 % (24237)Instruction limit reached!
% 0.73/0.94 % (24237)------------------------------
% 0.73/0.94 % (24237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.94 % (24237)Termination reason: Unknown
% 0.73/0.94 % (24237)Termination phase: Saturation
% 0.73/0.94
% 0.73/0.94 % (24237)Memory used [KB]: 1185
% 0.73/0.94 % (24237)Time elapsed: 0.032 s
% 0.73/0.94 % (24237)Instructions burned: 83 (million)
% 0.73/0.94 % (24237)------------------------------
% 0.73/0.94 % (24237)------------------------------
% 0.73/0.94 % (24240)Instruction limit reached!
% 0.73/0.94 % (24240)------------------------------
% 0.73/0.94 % (24240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.94 % (24240)Termination reason: Unknown
% 0.73/0.94 % (24240)Termination phase: Saturation
% 0.73/0.94
% 0.73/0.94 % (24240)Memory used [KB]: 1406
% 0.73/0.94 % (24240)Time elapsed: 0.028 s
% 0.73/0.94 % (24240)Instructions burned: 50 (million)
% 0.73/0.94 % (24240)------------------------------
% 0.73/0.94 % (24240)------------------------------
% 0.80/0.94 % (24232)Instruction limit reached!
% 0.80/0.94 % (24232)------------------------------
% 0.80/0.94 % (24232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (24232)Termination reason: Unknown
% 0.80/0.94 % (24232)Termination phase: Saturation
% 0.80/0.94
% 0.80/0.94 % (24232)Memory used [KB]: 1237
% 0.80/0.94 % (24232)Time elapsed: 0.040 s
% 0.80/0.94 % (24232)Instructions burned: 53 (million)
% 0.80/0.94 % (24232)------------------------------
% 0.80/0.94 % (24232)------------------------------
% 0.80/0.94 % (24244)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.80/0.94 % (24242)Instruction limit reached!
% 0.80/0.94 % (24242)------------------------------
% 0.80/0.94 % (24242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (24242)Termination reason: Unknown
% 0.80/0.94 % (24242)Termination phase: Saturation
% 0.80/0.94
% 0.80/0.94 % (24242)Memory used [KB]: 1542
% 0.80/0.94 % (24242)Time elapsed: 0.030 s
% 0.80/0.94 % (24242)Instructions burned: 52 (million)
% 0.80/0.94 % (24242)------------------------------
% 0.80/0.94 % (24242)------------------------------
% 0.80/0.94 % (24245)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.80/0.94 % (24239)Instruction limit reached!
% 0.80/0.94 % (24239)------------------------------
% 0.80/0.94 % (24239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (24239)Termination reason: Unknown
% 0.80/0.94 % (24239)Termination phase: Saturation
% 0.80/0.94
% 0.80/0.94 % (24239)Memory used [KB]: 1539
% 0.80/0.94 % (24239)Time elapsed: 0.042 s
% 0.80/0.94 % (24239)Instructions burned: 58 (million)
% 0.80/0.94 % (24239)------------------------------
% 0.80/0.94 % (24239)------------------------------
% 0.80/0.94 % (24247)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.80/0.94 % (24233)Instruction limit reached!
% 0.80/0.94 % (24233)------------------------------
% 0.80/0.94 % (24233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (24233)Termination reason: Unknown
% 0.80/0.94 % (24233)Termination phase: Saturation
% 0.80/0.94
% 0.80/0.94 % (24233)Memory used [KB]: 1985
% 0.80/0.94 % (24233)Time elapsed: 0.040 s
% 0.80/0.94 % (24233)Instructions burned: 79 (million)
% 0.80/0.94 % (24233)------------------------------
% 0.80/0.94 % (24233)------------------------------
% 0.94/0.95 % (24246)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.94/0.95 % (24249)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.94/0.96 % (24248)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.94/0.96 % (24244)Instruction limit reached!
% 0.94/0.96 % (24244)------------------------------
% 0.94/0.96 % (24244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.96 % (24244)Termination reason: Unknown
% 0.94/0.96 % (24244)Termination phase: Saturation
% 0.94/0.96
% 0.94/0.96 % (24244)Memory used [KB]: 1224
% 0.94/0.96 % (24244)Time elapsed: 0.024 s
% 0.94/0.96 % (24244)Instructions burned: 42 (million)
% 0.94/0.96 % (24244)------------------------------
% 0.94/0.96 % (24244)------------------------------
% 0.94/0.97 % (24250)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.94/0.98 % (24249)Instruction limit reached!
% 0.94/0.98 % (24249)------------------------------
% 0.94/0.98 % (24249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.98 % (24249)Termination reason: Unknown
% 0.94/0.98 % (24249)Termination phase: Saturation
% 0.94/0.98
% 0.94/0.98 % (24249)Memory used [KB]: 1363
% 0.94/0.98 % (24249)Time elapsed: 0.030 s
% 0.94/0.98 % (24249)Instructions burned: 63 (million)
% 0.94/0.98 % (24249)------------------------------
% 0.94/0.98 % (24249)------------------------------
% 0.94/0.98 % (24251)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.94/0.98 % (24250)Instruction limit reached!
% 0.94/0.98 % (24250)------------------------------
% 0.94/0.98 % (24250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.98 % (24250)Termination reason: Unknown
% 0.94/0.98 % (24250)Termination phase: Saturation
% 0.94/0.98
% 0.94/0.98 % (24250)Memory used [KB]: 1188
% 0.94/0.98 % (24250)Time elapsed: 0.017 s
% 0.94/0.98 % (24250)Instructions burned: 33 (million)
% 0.94/0.98 % (24250)------------------------------
% 0.94/0.98 % (24250)------------------------------
% 0.94/0.98 % (24241)Instruction limit reached!
% 0.94/0.98 % (24241)------------------------------
% 0.94/0.98 % (24241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.98 % (24241)Termination reason: Unknown
% 0.94/0.98 % (24241)Termination phase: Saturation
% 0.94/0.98
% 0.94/0.98 % (24241)Memory used [KB]: 1226
% 0.94/0.98 % (24241)Time elapsed: 0.074 s
% 0.94/0.98 % (24241)Instructions burned: 209 (million)
% 0.94/0.98 % (24241)------------------------------
% 0.94/0.98 % (24241)------------------------------
% 0.94/0.98 % (24252)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55: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 (2993ds/55Mi)
% 0.94/0.99 % (24253)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2993ds/53Mi)
% 0.94/0.99 % (24251)Refutation not found, incomplete strategy% (24251)------------------------------
% 0.94/0.99 % (24251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.99 % (24251)Termination reason: Refutation not found, incomplete strategy
% 0.94/0.99
% 0.94/0.99 % (24251)Memory used [KB]: 1138
% 0.94/0.99 % (24251)Time elapsed: 0.014 s
% 0.94/0.99 % (24251)Instructions burned: 23 (million)
% 0.94/0.99 % (24251)------------------------------
% 0.94/0.99 % (24251)------------------------------
% 0.94/1.00 % (24254)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2993ds/46Mi)
% 0.94/1.00 % (24247)First to succeed.
% 1.10/1.00 % (24247)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24230"
% 1.10/1.01 % (24247)Refutation found. Thanks to Tanya!
% 1.10/1.01 % SZS status Unsatisfiable for theBenchmark
% 1.10/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 1.10/1.01 % (24247)------------------------------
% 1.10/1.01 % (24247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/1.01 % (24247)Termination reason: Refutation
% 1.10/1.01
% 1.10/1.01 % (24247)Memory used [KB]: 1628
% 1.10/1.01 % (24247)Time elapsed: 0.063 s
% 1.10/1.01 % (24247)Instructions burned: 116 (million)
% 1.10/1.01 % (24230)Success in time 0.628 s
% 1.10/1.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------