TSTP Solution File: ITP023_3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP023_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 07:01:55 EDT 2024
% Result : Theorem 4.41s 0.97s
% Output : Refutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 73
% Syntax : Number of formulae : 136 ( 25 unt; 58 typ; 0 def)
% Number of atoms : 195 ( 56 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 192 ( 75 ~; 71 |; 26 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 76 ( 37 >; 39 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 3 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 11 con; 0-4 aty)
% Number of variables : 123 ( 83 !; 14 ?; 123 :)
% ( 26 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
tyop_2Epair_2Eprod: ( $tType * $tType ) > $tType ).
tff(type_def_8,type,
tyop_2Erealax_2Ereal: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Epair_2E_2C_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Epair_2Eprod(X0,X1))) ).
tff(func_def_7,type,
c_2Epair_2E_2C_2E2:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > tyop_2Epair_2Eprod(X0,X1) ) ).
tff(func_def_8,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_9,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_10,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_11,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_12,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_13,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_14,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_15,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_16,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_17,type,
c_2Epred__set_2ESUBSET_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_18,type,
c_2Epred__set_2ESUBSET_2E2:
!>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_19,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_20,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_21,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_22,type,
c_2Ereal__topology_2Eball_2E0: tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)) ).
tff(func_def_23,type,
c_2Ereal__topology_2Eball_2E1: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) > tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool) ).
tff(func_def_24,type,
c_2Ereal__topology_2Ebounded__def_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_25,type,
c_2Ereal__topology_2Ebounded__def_2E1: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ).
tff(func_def_26,type,
c_2Ereal__topology_2Ecball_2E0: tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)) ).
tff(func_def_27,type,
c_2Ereal__topology_2Ecball_2E1: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) > tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool) ).
tff(func_def_28,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_29,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_30,type,
sK16: tyop_2Erealax_2Ereal ).
tff(func_def_31,type,
sK17: tyop_2Erealax_2Ereal ).
tff(func_def_32,type,
sK18:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_33,type,
sK19:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_34,type,
sK20:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_35,type,
sK21:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_36,type,
sK22:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_4,type,
sP2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_5,type,
sP3: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_6,type,
sP4: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_7,type,
sP5: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_8,type,
sP6: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_9,type,
sP7: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_10,type,
sP8: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_11,type,
sP9: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_12,type,
sP10: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_13,type,
sP11: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_14,type,
sP12: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_15,type,
sP13: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_16,type,
sP14: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_17,type,
sP15: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(f10328,plain,
$false,
inference(avatar_sat_refutation,[],[f7685,f8285,f8954]) ).
tff(f8954,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f8953]) ).
tff(f8953,plain,
( $false
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f8328,f249]) ).
tff(f249,plain,
p(c_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
p(c_2Ebool_2ET_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
tff(f8328,plain,
( ~ p(c_2Ebool_2ET_2E0)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f248,f507]) ).
tff(f507,plain,
( ( c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f506]) ).
tff(f506,plain,
( spl23_2
<=> ( c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
tff(f248,plain,
~ p(c_2Ebool_2EF_2E0),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
~ p(c_2Ebool_2EF_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Enotfalse) ).
tff(f8285,plain,
( spl23_2
| spl23_40 ),
inference(avatar_contradiction_clause,[],[f8284]) ).
tff(f8284,plain,
( $false
| spl23_2
| spl23_40 ),
inference(subsumption_resolution,[],[f8283,f508]) ).
tff(f508,plain,
( ( c_2Ebool_2ET_2E0 != c_2Ebool_2EF_2E0 )
| spl23_2 ),
inference(avatar_component_clause,[],[f506]) ).
tff(f8283,plain,
( ( c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 )
| spl23_2
| spl23_40 ),
inference(backward_demodulation,[],[f2563,f8282]) ).
tff(f8282,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,c_2Ebool_2ET_2E0) )
| spl23_2
| spl23_40 ),
inference(forward_demodulation,[],[f8281,f8271]) ).
tff(f8271,plain,
( ( c_2Ebool_2ET_2E0 = sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0) )
| spl23_40 ),
inference(subsumption_resolution,[],[f8270,f249]) ).
tff(f8270,plain,
( ~ p(c_2Ebool_2ET_2E0)
| ( c_2Ebool_2ET_2E0 = sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0) )
| spl23_40 ),
inference(forward_demodulation,[],[f8213,f2517]) ).
tff(f2517,plain,
c_2Ebool_2ET_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,c_2Ebool_2EF_2E0),
inference(resolution,[],[f594,f248]) ).
tff(f594,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(X0)
| ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0) ) ),
inference(resolution,[],[f292,f263]) ).
tff(f263,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(flattening,[],[f154]) ).
tff(f154,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(nnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) ) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f292,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| p(X0) ),
inference(cnf_transformation,[],[f158]) ).
tff(f158,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ~ p(X0)
| ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0)) )
& ( p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| p(X0) ) ),
inference(nnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0)) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X12: tyop_2Emin_2Ebool] :
( ~ p(X12)
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).
tff(f8213,plain,
( ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,c_2Ebool_2EF_2E0))
| ( c_2Ebool_2ET_2E0 = sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0) )
| spl23_40 ),
inference(superposition,[],[f7670,f283]) ).
tff(f283,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X8 )
| ( c_2Ebool_2ET_2E0 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Ebool__cases__ax) ).
tff(f7670,plain,
( ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)))
| spl23_40 ),
inference(avatar_component_clause,[],[f7668]) ).
tff(f7668,plain,
( spl23_40
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_40])]) ).
tff(f8281,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)) )
| spl23_2
| spl23_40 ),
inference(subsumption_resolution,[],[f8225,f8060]) ).
tff(f8060,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(subsumption_resolution,[],[f8059,f249]) ).
tff(f8059,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] :
( ~ p(c_2Ebool_2ET_2E0)
| p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))) ),
inference(forward_demodulation,[],[f8018,f653]) ).
tff(f653,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : ( c_2Ebool_2ET_2E0 = c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1))) ),
inference(resolution,[],[f299,f263]) ).
tff(f299,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X9: tyop_2Erealax_2Ereal,X20: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X9,X20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__CBALL) ).
tff(f8018,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] :
( p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1))))
| ~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))) ),
inference(resolution,[],[f302,f313]) ).
tff(f313,plain,
! [X0: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)] :
( ~ p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,X0,X1))
| p(c_2Ereal__topology_2Ebounded__def_2E1(X0))
| ~ p(c_2Ereal__topology_2Ebounded__def_2E1(X1)) ),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)] :
( p(c_2Ereal__topology_2Ebounded__def_2E1(X0))
| ~ p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,X0,X1))
| ~ p(c_2Ereal__topology_2Ebounded__def_2E1(X1)) ),
inference(flattening,[],[f114]) ).
tff(f114,plain,
! [X0: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)] :
( p(c_2Ereal__topology_2Ebounded__def_2E1(X0))
| ~ p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,X0,X1))
| ~ p(c_2Ereal__topology_2Ebounded__def_2E1(X1)) ),
inference(ennf_transformation,[],[f78]) ).
tff(f78,plain,
! [X0: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)] :
( ( p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,X0,X1))
& p(c_2Ereal__topology_2Ebounded__def_2E1(X1)) )
=> p(c_2Ereal__topology_2Ebounded__def_2E1(X0)) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X21: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X22: tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)] :
( ( p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,X21,X22))
& p(c_2Ereal__topology_2Ebounded__def_2E1(X22)) )
=> p(c_2Ereal__topology_2Ebounded__def_2E1(X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
tff(f302,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)),c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)),c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X9: tyop_2Erealax_2Ereal,X20: tyop_2Erealax_2Ereal] : p(c_2Epred__set_2ESUBSET_2E2(tyop_2Erealax_2Ereal,c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X9,X20)),c_2Ereal__topology_2Ecball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X9,X20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
tff(f8225,plain,
( ~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17))))
| ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0)) )
| spl23_2
| spl23_40 ),
inference(superposition,[],[f7670,f1852]) ).
tff(f1852,plain,
( ! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17))) = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) )
| spl23_2 ),
inference(subsumption_resolution,[],[f1742,f508]) ).
tff(f1742,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 )
| ( c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17))) = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(superposition,[],[f488,f497]) ).
tff(f497,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( c_2Ebool_2ET_2E0 = X1 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(superposition,[],[f283,f283]) ).
tff(f488,plain,
c_2Ebool_2EF_2E0 = c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17))),
inference(resolution,[],[f267,f247]) ).
tff(f247,plain,
~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17)))),
inference(cnf_transformation,[],[f151]) ).
tff(f151,plain,
~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17)))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f104,f150]) ).
tff(f150,plain,
( ? [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : ~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1))))
=> ~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,sK16,sK17)))) ),
introduced(choice_axiom,[]) ).
tff(f104,plain,
? [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : ~ p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(ennf_transformation,[],[f55]) ).
tff(f55,plain,
~ ! [X0: tyop_2Erealax_2Ereal,X1: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X0,X1)))),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ! [X9: tyop_2Erealax_2Ereal,X20: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X9,X20)))),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
! [X9: tyop_2Erealax_2Ereal,X20: tyop_2Erealax_2Ereal] : p(c_2Ereal__topology_2Ebounded__def_2E1(c_2Ereal__topology_2Eball_2E1(c_2Epair_2E_2C_2E2(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal,X9,X20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__BALL) ).
tff(f267,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(X0)
| ( c_2Ebool_2EF_2E0 = X0 ) ),
inference(cnf_transformation,[],[f155]) ).
tff(f2563,plain,
c_2Ebool_2EF_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,c_2Ebool_2ET_2E0),
inference(resolution,[],[f612,f249]) ).
tff(f612,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0) ) ),
inference(resolution,[],[f293,f267]) ).
tff(f293,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| ~ p(X0) ),
inference(cnf_transformation,[],[f158]) ).
tff(f7685,plain,
~ spl23_40,
inference(avatar_split_clause,[],[f7684,f7668]) ).
tff(f7684,plain,
~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0))),
inference(subsumption_resolution,[],[f7656,f248]) ).
tff(f7656,plain,
( p(c_2Ebool_2EF_2E0)
| ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,sK21(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0))) ),
inference(superposition,[],[f373,f2563]) ).
tff(f373,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X5))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,sK21(X0,X1))) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ( ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,sK20(X0,X1)))
| ! [X3: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X3)) )
& ( ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,sK21(X0,X1)))
| ! [X5: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f198,f200,f199]) ).
tff(f199,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ? [X2: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X2))
=> ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,sK20(X0,X1))) ),
introduced(choice_axiom,[]) ).
tff(f200,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ? [X4: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X4))
=> ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,sK21(X0,X1))) ),
introduced(choice_axiom,[]) ).
tff(f198,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ( ? [X2: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X2))
| ! [X3: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X3)) )
& ( ? [X4: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X4))
| ! [X5: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X5)) ) ),
inference(rectify,[],[f197]) ).
tff(f197,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ( ? [X2: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X2))
| ! [X3: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X3)) )
& ( ? [X3: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X3))
| ! [X2: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X2)) ) ),
inference(nnf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ? [X2: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X2))
<=> ? [X3: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X3)) ),
inference(ennf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ~ ! [X2: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X2))
<=> ? [X3: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X1,X3)) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X0: $tType,X16: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ~ ! [X11: X0] : p(app_2E2(X0,tyop_2Emin_2Ebool,X16,X11))
<=> ? [X5: X0] : ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X16,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ENOT__FORALL__THM) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP023_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n007.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 : Fri May 3 19:11:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (29299)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (29302)WARNING: value z3 for option sas not known
% 0.12/0.36 % (29304)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 % (29301)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (29307)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 % (29305)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 % (29303)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (29300)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (29302)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (29307)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.37 % Exception at run slice level
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.38 % (29309)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.12/0.38 % (29309)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.38 % (29308)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.12/0.38 % (29310)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.12/0.38 % (29308)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.38 % Exception at run slice level
% 0.12/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.40 % (29311)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 4.41/0.97 % (29310)First to succeed.
% 4.41/0.97 % (29310)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29299"
% 4.41/0.97 % (29310)Refutation found. Thanks to Tanya!
% 4.41/0.97 % SZS status Theorem for theBenchmark
% 4.41/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 4.41/0.97 % (29310)------------------------------
% 4.41/0.97 % (29310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.41/0.97 % (29310)Termination reason: Refutation
% 4.41/0.97
% 4.41/0.97 % (29310)Memory used [KB]: 2786
% 4.41/0.97 % (29310)Time elapsed: 0.589 s
% 4.41/0.97 % (29310)Instructions burned: 1247 (million)
% 4.41/0.97 % (29299)Success in time 0.611 s
%------------------------------------------------------------------------------