TSTP Solution File: LAT376+3 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LAT376+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.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 10:35:23 EDT 2024
% Result : Theorem 2.27s 1.17s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 41
% Syntax : Number of formulae : 226 ( 33 unt; 0 def)
% Number of atoms : 760 ( 6 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 816 ( 282 ~; 278 |; 213 &)
% ( 22 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 23 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 120 ( 118 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27651,plain,
$false,
inference(avatar_sat_refutation,[],[f27084,f27090,f27102,f27137,f27144,f27147,f27154,f27173,f27185,f27242,f27259,f27263,f27279,f27371,f27393,f27449,f27465,f27547,f27553,f27571,f27637,f27643,f27650]) ).
fof(f27650,plain,
~ spl436_3,
inference(avatar_contradiction_clause,[],[f27649]) ).
fof(f27649,plain,
( $false
| ~ spl436_3 ),
inference(subsumption_resolution,[],[f27645,f26986]) ).
fof(f26986,plain,
sP1(sK139),
inference(resolution,[],[f24580,f24623]) ).
fof(f24623,plain,
! [X0] :
( ~ v2_setfam_1(X0)
| sP1(X0) ),
inference(consistent_polarity_flipping,[],[f21755]) ).
fof(f21755,plain,
! [X0] :
( sP1(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f20482]) ).
fof(f20482,plain,
! [X0] :
( sP1(X0)
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f19048,f20481]) ).
fof(f20481,plain,
! [X0] :
( ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f19048,plain,
! [X0] :
( ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18930]) ).
fof(f18930,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f24580,plain,
v2_setfam_1(sK139),
inference(consistent_polarity_flipping,[],[f21703]) ).
fof(f21703,plain,
~ v2_setfam_1(sK139),
inference(cnf_transformation,[],[f20718]) ).
fof(f20718,plain,
( ~ r3_yellow20(k5_waybel34(sK139),k4_waybel34(sK139),k7_waybel34(sK139),k9_waybel34(sK139),k8_waybel34(sK139))
& ~ v2_setfam_1(sK139) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK139])],[f19039,f20717]) ).
fof(f20717,plain,
( ? [X0] :
( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
& ~ v2_setfam_1(X0) )
=> ( ~ r3_yellow20(k5_waybel34(sK139),k4_waybel34(sK139),k7_waybel34(sK139),k9_waybel34(sK139),k8_waybel34(sK139))
& ~ v2_setfam_1(sK139) ) ),
introduced(choice_axiom,[]) ).
fof(f19039,plain,
? [X0] :
( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18994]) ).
fof(f18994,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
inference(negated_conjecture,[],[f18993]) ).
fof(f18993,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27645,plain,
( ~ sP1(sK139)
| ~ spl436_3 ),
inference(resolution,[],[f27007,f24621]) ).
fof(f24621,plain,
! [X0] :
( ~ v11_altcat_1(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(consistent_polarity_flipping,[],[f21746]) ).
fof(f21746,plain,
! [X0] :
( v11_altcat_1(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20720]) ).
fof(f20720,plain,
! [X0] :
( ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f20481]) ).
fof(f27007,plain,
( v11_altcat_1(k4_waybel34(sK139))
| ~ spl436_3 ),
inference(avatar_component_clause,[],[f27005]) ).
fof(f27005,plain,
( spl436_3
<=> v11_altcat_1(k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_3])]) ).
fof(f27643,plain,
~ spl436_8,
inference(avatar_contradiction_clause,[],[f27642]) ).
fof(f27642,plain,
( $false
| ~ spl436_8 ),
inference(subsumption_resolution,[],[f27640,f26985]) ).
fof(f26985,plain,
sP2(sK139),
inference(resolution,[],[f24580,f24629]) ).
fof(f24629,plain,
! [X0] :
( ~ v2_setfam_1(X0)
| sP2(X0) ),
inference(consistent_polarity_flipping,[],[f21769]) ).
fof(f21769,plain,
! [X0] :
( sP2(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f20484]) ).
fof(f20484,plain,
! [X0] :
( sP2(X0)
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f19049,f20483]) ).
fof(f20483,plain,
! [X0] :
( ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f19049,plain,
! [X0] :
( ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18931]) ).
fof(f18931,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27640,plain,
( ~ sP2(sK139)
| ~ spl436_8 ),
inference(resolution,[],[f27027,f24627]) ).
fof(f24627,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(consistent_polarity_flipping,[],[f21760]) ).
fof(f21760,plain,
! [X0] :
( v11_altcat_1(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f20721]) ).
fof(f20721,plain,
! [X0] :
( ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f20483]) ).
fof(f27027,plain,
( v11_altcat_1(k5_waybel34(sK139))
| ~ spl436_8 ),
inference(avatar_component_clause,[],[f27025]) ).
fof(f27025,plain,
( spl436_8
<=> v11_altcat_1(k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_8])]) ).
fof(f27637,plain,
~ spl436_22,
inference(avatar_contradiction_clause,[],[f27636]) ).
fof(f27636,plain,
( $false
| ~ spl436_22 ),
inference(subsumption_resolution,[],[f27634,f24580]) ).
fof(f27634,plain,
( ~ v2_setfam_1(sK139)
| ~ spl436_22 ),
inference(resolution,[],[f27083,f24584]) ).
fof(f24584,plain,
! [X0] :
( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21708]) ).
fof(f21708,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19043]) ).
fof(f19043,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18992]) ).
fof(f18992,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27083,plain,
( r3_yellow20(k4_waybel34(sK139),k5_waybel34(sK139),k6_waybel34(sK139),k8_waybel34(sK139),k9_waybel34(sK139))
| ~ spl436_22 ),
inference(avatar_component_clause,[],[f27081]) ).
fof(f27081,plain,
( spl436_22
<=> r3_yellow20(k4_waybel34(sK139),k5_waybel34(sK139),k6_waybel34(sK139),k8_waybel34(sK139),k9_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_22])]) ).
fof(f27571,plain,
~ spl436_19,
inference(avatar_contradiction_clause,[],[f27570]) ).
fof(f27570,plain,
( $false
| ~ spl436_19 ),
inference(subsumption_resolution,[],[f27568,f24580]) ).
fof(f27568,plain,
( ~ v2_setfam_1(sK139)
| ~ spl436_19 ),
inference(resolution,[],[f27071,f24594]) ).
fof(f24594,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21716]) ).
fof(f21716,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19045]) ).
fof(f19045,plain,
! [X0] :
( ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& ~ v3_struct_0(k9_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18901]) ).
fof(f18901,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& ~ v3_struct_0(k9_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27071,plain,
( v2_altcat_1(k9_waybel34(sK139))
| ~ spl436_19 ),
inference(avatar_component_clause,[],[f27069]) ).
fof(f27069,plain,
( spl436_19
<=> v2_altcat_1(k9_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_19])]) ).
fof(f27553,plain,
~ spl436_18,
inference(avatar_contradiction_clause,[],[f27552]) ).
fof(f27552,plain,
( $false
| ~ spl436_18 ),
inference(subsumption_resolution,[],[f27548,f24580]) ).
fof(f27548,plain,
( ~ v2_setfam_1(sK139)
| ~ spl436_18 ),
inference(resolution,[],[f27067,f24595]) ).
fof(f24595,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21715]) ).
fof(f21715,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19045]) ).
fof(f27067,plain,
( v3_struct_0(k9_waybel34(sK139))
| ~ spl436_18 ),
inference(avatar_component_clause,[],[f27065]) ).
fof(f27065,plain,
( spl436_18
<=> v3_struct_0(k9_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_18])]) ).
fof(f27547,plain,
~ spl436_7,
inference(avatar_contradiction_clause,[],[f27546]) ).
fof(f27546,plain,
( $false
| ~ spl436_7 ),
inference(subsumption_resolution,[],[f27544,f26985]) ).
fof(f27544,plain,
( ~ sP2(sK139)
| ~ spl436_7 ),
inference(resolution,[],[f27023,f24628]) ).
fof(f24628,plain,
! [X0] :
( ~ v2_altcat_1(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(consistent_polarity_flipping,[],[f21757]) ).
fof(f21757,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f20721]) ).
fof(f27023,plain,
( v2_altcat_1(k5_waybel34(sK139))
| ~ spl436_7 ),
inference(avatar_component_clause,[],[f27021]) ).
fof(f27021,plain,
( spl436_7
<=> v2_altcat_1(k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_7])]) ).
fof(f27465,plain,
spl436_21,
inference(avatar_contradiction_clause,[],[f27464]) ).
fof(f27464,plain,
( $false
| spl436_21 ),
inference(subsumption_resolution,[],[f27463,f24580]) ).
fof(f27463,plain,
( ~ v2_setfam_1(sK139)
| spl436_21 ),
inference(resolution,[],[f27079,f24591]) ).
fof(f24591,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21719]) ).
fof(f21719,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19045]) ).
fof(f27079,plain,
( ~ m1_altcat_2(k9_waybel34(sK139),k5_waybel34(sK139))
| spl436_21 ),
inference(avatar_component_clause,[],[f27077]) ).
fof(f27077,plain,
( spl436_21
<=> m1_altcat_2(k9_waybel34(sK139),k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_21])]) ).
fof(f27449,plain,
spl436_20,
inference(avatar_contradiction_clause,[],[f27448]) ).
fof(f27448,plain,
( $false
| spl436_20 ),
inference(subsumption_resolution,[],[f27447,f24580]) ).
fof(f27447,plain,
( ~ v2_setfam_1(sK139)
| spl436_20 ),
inference(resolution,[],[f27075,f24592]) ).
fof(f24592,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21718]) ).
fof(f21718,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19045]) ).
fof(f27075,plain,
( ~ v3_altcat_2(k9_waybel34(sK139),k5_waybel34(sK139))
| spl436_20 ),
inference(avatar_component_clause,[],[f27073]) ).
fof(f27073,plain,
( spl436_20
<=> v3_altcat_2(k9_waybel34(sK139),k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_20])]) ).
fof(f27393,plain,
~ spl436_15,
inference(avatar_contradiction_clause,[],[f27392]) ).
fof(f27392,plain,
( $false
| ~ spl436_15 ),
inference(subsumption_resolution,[],[f27389,f26983]) ).
fof(f26983,plain,
v1_xboole_0(sK139),
inference(resolution,[],[f24580,f25048]) ).
fof(f25048,plain,
! [X0] :
( ~ v2_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(consistent_polarity_flipping,[],[f22270]) ).
fof(f22270,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19215]) ).
fof(f19215,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f588]) ).
fof(f588,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27389,plain,
( ~ v1_xboole_0(sK139)
| ~ spl436_15 ),
inference(resolution,[],[f27055,f24772]) ).
fof(f24772,plain,
! [X0] :
( ~ v2_altcat_1(k8_waybel34(X0))
| ~ v1_xboole_0(X0) ),
inference(consistent_polarity_flipping,[],[f21925]) ).
fof(f21925,plain,
! [X0] :
( v2_altcat_1(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19088]) ).
fof(f19088,plain,
! [X0] :
( ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& ~ v3_struct_0(k8_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f18900]) ).
fof(f18900,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& ~ v3_struct_0(k8_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27055,plain,
( v2_altcat_1(k8_waybel34(sK139))
| ~ spl436_15 ),
inference(avatar_component_clause,[],[f27053]) ).
fof(f27053,plain,
( spl436_15
<=> v2_altcat_1(k8_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_15])]) ).
fof(f27371,plain,
~ spl436_14,
inference(avatar_contradiction_clause,[],[f27370]) ).
fof(f27370,plain,
( $false
| ~ spl436_14 ),
inference(subsumption_resolution,[],[f27365,f26983]) ).
fof(f27365,plain,
( ~ v1_xboole_0(sK139)
| ~ spl436_14 ),
inference(resolution,[],[f27051,f24773]) ).
fof(f24773,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| ~ v1_xboole_0(X0) ),
inference(consistent_polarity_flipping,[],[f21924]) ).
fof(f21924,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19088]) ).
fof(f27051,plain,
( v3_struct_0(k8_waybel34(sK139))
| ~ spl436_14 ),
inference(avatar_component_clause,[],[f27049]) ).
fof(f27049,plain,
( spl436_14
<=> v3_struct_0(k8_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_14])]) ).
fof(f27279,plain,
spl436_17,
inference(avatar_contradiction_clause,[],[f27278]) ).
fof(f27278,plain,
( $false
| spl436_17 ),
inference(subsumption_resolution,[],[f27276,f26983]) ).
fof(f27276,plain,
( ~ v1_xboole_0(sK139)
| spl436_17 ),
inference(resolution,[],[f27063,f24769]) ).
fof(f24769,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| ~ v1_xboole_0(X0) ),
inference(consistent_polarity_flipping,[],[f21928]) ).
fof(f21928,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19088]) ).
fof(f27063,plain,
( ~ m1_altcat_2(k8_waybel34(sK139),k4_waybel34(sK139))
| spl436_17 ),
inference(avatar_component_clause,[],[f27061]) ).
fof(f27061,plain,
( spl436_17
<=> m1_altcat_2(k8_waybel34(sK139),k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_17])]) ).
fof(f27263,plain,
spl436_16,
inference(avatar_contradiction_clause,[],[f27262]) ).
fof(f27262,plain,
( $false
| spl436_16 ),
inference(subsumption_resolution,[],[f27260,f26983]) ).
fof(f27260,plain,
( ~ v1_xboole_0(sK139)
| spl436_16 ),
inference(resolution,[],[f27059,f24770]) ).
fof(f24770,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| ~ v1_xboole_0(X0) ),
inference(consistent_polarity_flipping,[],[f21927]) ).
fof(f21927,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19088]) ).
fof(f27059,plain,
( ~ v3_altcat_2(k8_waybel34(sK139),k4_waybel34(sK139))
| spl436_16 ),
inference(avatar_component_clause,[],[f27057]) ).
fof(f27057,plain,
( spl436_16
<=> v3_altcat_2(k8_waybel34(sK139),k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_16])]) ).
fof(f27259,plain,
spl436_13,
inference(avatar_contradiction_clause,[],[f27258]) ).
fof(f27258,plain,
( $false
| spl436_13 ),
inference(subsumption_resolution,[],[f27257,f26984]) ).
fof(f26984,plain,
sP3(sK139),
inference(resolution,[],[f24580,f24632]) ).
fof(f24632,plain,
! [X0] :
( ~ v2_setfam_1(X0)
| sP3(X0) ),
inference(consistent_polarity_flipping,[],[f21778]) ).
fof(f21778,plain,
! [X0] :
( sP3(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f20486]) ).
fof(f20486,plain,
! [X0] :
( sP3(X0)
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f19050,f20485]) ).
fof(f20485,plain,
! [X0] :
( ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f19050,plain,
! [X0] :
( ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18939]) ).
fof(f18939,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27257,plain,
( ~ sP3(sK139)
| spl436_13 ),
inference(resolution,[],[f27047,f21777]) ).
fof(f21777,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f20722]) ).
fof(f20722,plain,
! [X0] :
( ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f20485]) ).
fof(f27047,plain,
( ~ v21_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139))
| spl436_13 ),
inference(avatar_component_clause,[],[f27045]) ).
fof(f27045,plain,
( spl436_13
<=> v21_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_13])]) ).
fof(f27242,plain,
~ spl436_1,
inference(avatar_contradiction_clause,[],[f27241]) ).
fof(f27241,plain,
( $false
| ~ spl436_1 ),
inference(subsumption_resolution,[],[f27235,f26986]) ).
fof(f27235,plain,
( ~ sP1(sK139)
| ~ spl436_1 ),
inference(resolution,[],[f26999,f21742]) ).
fof(f21742,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20720]) ).
fof(f26999,plain,
( v3_struct_0(k4_waybel34(sK139))
| ~ spl436_1 ),
inference(avatar_component_clause,[],[f26997]) ).
fof(f26997,plain,
( spl436_1
<=> v3_struct_0(k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_1])]) ).
fof(f27185,plain,
~ spl436_10,
inference(avatar_contradiction_clause,[],[f27184]) ).
fof(f27184,plain,
( $false
| ~ spl436_10 ),
inference(subsumption_resolution,[],[f27183,f26983]) ).
fof(f27183,plain,
( ~ v1_xboole_0(sK139)
| ~ spl436_10 ),
inference(resolution,[],[f27174,f24786]) ).
fof(f24786,plain,
! [X0] :
( ~ sP14(X0)
| ~ v1_xboole_0(X0) ),
inference(consistent_polarity_flipping,[],[f21944]) ).
fof(f21944,plain,
! [X0] :
( sP14(X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f20505]) ).
fof(f20505,plain,
! [X0] :
( sP14(X0)
| v1_xboole_0(X0) ),
inference(definition_folding,[],[f19090,f20504]) ).
fof(f20504,plain,
! [X0] :
( ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f19090,plain,
! [X0] :
( ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f18897]) ).
fof(f18897,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27174,plain,
( sP14(sK139)
| ~ spl436_10 ),
inference(resolution,[],[f27035,f24779]) ).
fof(f24779,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| sP14(X0) ),
inference(consistent_polarity_flipping,[],[f21943]) ).
fof(f21943,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f20810]) ).
fof(f20810,plain,
! [X0] :
( ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f20504]) ).
fof(f27035,plain,
( l2_altcat_1(k5_waybel34(sK139))
| ~ spl436_10 ),
inference(avatar_component_clause,[],[f27033]) ).
fof(f27033,plain,
( spl436_10
<=> l2_altcat_1(k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_10])]) ).
fof(f27173,plain,
~ spl436_9,
inference(avatar_contradiction_clause,[],[f27172]) ).
fof(f27172,plain,
( $false
| ~ spl436_9 ),
inference(subsumption_resolution,[],[f27170,f26985]) ).
fof(f27170,plain,
( ~ sP2(sK139)
| ~ spl436_9 ),
inference(resolution,[],[f27031,f24626]) ).
fof(f24626,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(consistent_polarity_flipping,[],[f21761]) ).
fof(f21761,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f20721]) ).
fof(f27031,plain,
( v12_altcat_1(k5_waybel34(sK139))
| ~ spl436_9 ),
inference(avatar_component_clause,[],[f27029]) ).
fof(f27029,plain,
( spl436_9
<=> v12_altcat_1(k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_9])]) ).
fof(f27154,plain,
~ spl436_6,
inference(avatar_contradiction_clause,[],[f27153]) ).
fof(f27153,plain,
( $false
| ~ spl436_6 ),
inference(subsumption_resolution,[],[f27149,f26985]) ).
fof(f27149,plain,
( ~ sP2(sK139)
| ~ spl436_6 ),
inference(resolution,[],[f27019,f21756]) ).
fof(f21756,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f20721]) ).
fof(f27019,plain,
( v3_struct_0(k5_waybel34(sK139))
| ~ spl436_6 ),
inference(avatar_component_clause,[],[f27017]) ).
fof(f27017,plain,
( spl436_6
<=> v3_struct_0(k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_6])]) ).
fof(f27147,plain,
~ spl436_5,
inference(avatar_contradiction_clause,[],[f27146]) ).
fof(f27146,plain,
( $false
| ~ spl436_5 ),
inference(subsumption_resolution,[],[f27145,f26991]) ).
fof(f26991,plain,
sP13(sK139),
inference(resolution,[],[f26983,f24778]) ).
fof(f24778,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| sP13(X0) ),
inference(consistent_polarity_flipping,[],[f21936]) ).
fof(f21936,plain,
! [X0] :
( sP13(X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f20503]) ).
fof(f20503,plain,
! [X0] :
( sP13(X0)
| v1_xboole_0(X0) ),
inference(definition_folding,[],[f19089,f20502]) ).
fof(f20502,plain,
! [X0] :
( ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f19089,plain,
! [X0] :
( ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f18896]) ).
fof(f18896,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27145,plain,
( ~ sP13(sK139)
| ~ spl436_5 ),
inference(resolution,[],[f27015,f24774]) ).
fof(f24774,plain,
! [X0] :
( ~ l2_altcat_1(k4_waybel34(X0))
| ~ sP13(X0) ),
inference(consistent_polarity_flipping,[],[f21935]) ).
fof(f21935,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f20809]) ).
fof(f20809,plain,
! [X0] :
( ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f20502]) ).
fof(f27015,plain,
( l2_altcat_1(k4_waybel34(sK139))
| ~ spl436_5 ),
inference(avatar_component_clause,[],[f27013]) ).
fof(f27013,plain,
( spl436_5
<=> l2_altcat_1(k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_5])]) ).
fof(f27144,plain,
~ spl436_2,
inference(avatar_contradiction_clause,[],[f27143]) ).
fof(f27143,plain,
( $false
| ~ spl436_2 ),
inference(subsumption_resolution,[],[f27139,f26986]) ).
fof(f27139,plain,
( ~ sP1(sK139)
| ~ spl436_2 ),
inference(resolution,[],[f27003,f24622]) ).
fof(f24622,plain,
! [X0] :
( ~ v2_altcat_1(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(consistent_polarity_flipping,[],[f21743]) ).
fof(f21743,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20720]) ).
fof(f27003,plain,
( v2_altcat_1(k4_waybel34(sK139))
| ~ spl436_2 ),
inference(avatar_component_clause,[],[f27001]) ).
fof(f27001,plain,
( spl436_2
<=> v2_altcat_1(k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_2])]) ).
fof(f27137,plain,
~ spl436_4,
inference(avatar_contradiction_clause,[],[f27136]) ).
fof(f27136,plain,
( $false
| ~ spl436_4 ),
inference(subsumption_resolution,[],[f27132,f26986]) ).
fof(f27132,plain,
( ~ sP1(sK139)
| ~ spl436_4 ),
inference(resolution,[],[f27011,f24620]) ).
fof(f24620,plain,
! [X0] :
( ~ v12_altcat_1(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(consistent_polarity_flipping,[],[f21747]) ).
fof(f21747,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20720]) ).
fof(f27011,plain,
( v12_altcat_1(k4_waybel34(sK139))
| ~ spl436_4 ),
inference(avatar_component_clause,[],[f27009]) ).
fof(f27009,plain,
( spl436_4
<=> v12_altcat_1(k4_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_4])]) ).
fof(f27102,plain,
spl436_12,
inference(avatar_contradiction_clause,[],[f27101]) ).
fof(f27101,plain,
( $false
| spl436_12 ),
inference(subsumption_resolution,[],[f27100,f24580]) ).
fof(f27100,plain,
( ~ v2_setfam_1(sK139)
| spl436_12 ),
inference(resolution,[],[f27043,f24642]) ).
fof(f24642,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21790]) ).
fof(f21790,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19052]) ).
fof(f19052,plain,
! [X0] :
( ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18898]) ).
fof(f18898,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27043,plain,
( ~ m2_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139))
| spl436_12 ),
inference(avatar_component_clause,[],[f27041]) ).
fof(f27041,plain,
( spl436_12
<=> m2_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_12])]) ).
fof(f27090,plain,
spl436_11,
inference(avatar_contradiction_clause,[],[f27089]) ).
fof(f27089,plain,
( $false
| spl436_11 ),
inference(subsumption_resolution,[],[f27086,f26984]) ).
fof(f27086,plain,
( ~ sP3(sK139)
| spl436_11 ),
inference(resolution,[],[f27039,f21776]) ).
fof(f21776,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f20722]) ).
fof(f27039,plain,
( ~ v16_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139))
| spl436_11 ),
inference(avatar_component_clause,[],[f27037]) ).
fof(f27037,plain,
( spl436_11
<=> v16_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl436_11])]) ).
fof(f27084,plain,
( spl436_1
| spl436_2
| spl436_3
| spl436_4
| spl436_5
| spl436_6
| spl436_7
| spl436_8
| spl436_9
| spl436_10
| ~ spl436_11
| ~ spl436_12
| ~ spl436_13
| spl436_14
| spl436_15
| ~ spl436_16
| ~ spl436_17
| spl436_18
| spl436_19
| ~ spl436_20
| ~ spl436_21
| spl436_22 ),
inference(avatar_split_clause,[],[f26994,f27081,f27077,f27073,f27069,f27065,f27061,f27057,f27053,f27049,f27045,f27041,f27037,f27033,f27029,f27025,f27021,f27017,f27013,f27009,f27005,f27001,f26997]) ).
fof(f26994,plain,
( r3_yellow20(k4_waybel34(sK139),k5_waybel34(sK139),k6_waybel34(sK139),k8_waybel34(sK139),k9_waybel34(sK139))
| ~ m1_altcat_2(k9_waybel34(sK139),k5_waybel34(sK139))
| ~ v3_altcat_2(k9_waybel34(sK139),k5_waybel34(sK139))
| v2_altcat_1(k9_waybel34(sK139))
| v3_struct_0(k9_waybel34(sK139))
| ~ m1_altcat_2(k8_waybel34(sK139),k4_waybel34(sK139))
| ~ v3_altcat_2(k8_waybel34(sK139),k4_waybel34(sK139))
| v2_altcat_1(k8_waybel34(sK139))
| v3_struct_0(k8_waybel34(sK139))
| ~ v21_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139))
| ~ m2_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139))
| ~ v16_functor0(k6_waybel34(sK139),k4_waybel34(sK139),k5_waybel34(sK139))
| l2_altcat_1(k5_waybel34(sK139))
| v12_altcat_1(k5_waybel34(sK139))
| v11_altcat_1(k5_waybel34(sK139))
| v2_altcat_1(k5_waybel34(sK139))
| v3_struct_0(k5_waybel34(sK139))
| l2_altcat_1(k4_waybel34(sK139))
| v12_altcat_1(k4_waybel34(sK139))
| v11_altcat_1(k4_waybel34(sK139))
| v2_altcat_1(k4_waybel34(sK139))
| v3_struct_0(k4_waybel34(sK139)) ),
inference(resolution,[],[f26989,f25050]) ).
fof(f25050,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| r3_yellow20(X0,X1,X2,X3,X4)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| v2_altcat_1(X4)
| v3_struct_0(X4)
| ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| v2_altcat_1(X3)
| v3_struct_0(X3)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| l2_altcat_1(X1)
| v12_altcat_1(X1)
| v11_altcat_1(X1)
| v2_altcat_1(X1)
| v3_struct_0(X1)
| l2_altcat_1(X0)
| v12_altcat_1(X0)
| v11_altcat_1(X0)
| v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(consistent_polarity_flipping,[],[f22272]) ).
fof(f22272,plain,
! [X2,X3,X0,X1,X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| v3_struct_0(X4)
| ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| ~ v2_altcat_1(X3)
| v3_struct_0(X3)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f19219]) ).
fof(f19219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| v3_struct_0(X4) )
| ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| ~ v2_altcat_1(X3)
| v3_struct_0(X3) )
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) )
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f19218]) ).
fof(f19218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| v3_struct_0(X4) )
| ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| ~ v2_altcat_1(X3)
| v3_struct_0(X3) )
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) )
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18796]) ).
fof(f18796,axiom,
! [X0] :
( ( l2_altcat_1(X0)
& v12_altcat_1(X0)
& v11_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v11_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( m1_altcat_2(X3,X0)
& v3_altcat_2(X3,X0)
& v2_altcat_1(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( ( m1_altcat_2(X4,X1)
& v3_altcat_2(X4,X1)
& v2_altcat_1(X4)
& ~ v3_struct_0(X4) )
=> ( r3_yellow20(X0,X1,X2,X3,X4)
=> r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f26989,plain,
r3_yellow20(k5_waybel34(sK139),k4_waybel34(sK139),k15_functor0(k4_waybel34(sK139),k5_waybel34(sK139),k6_waybel34(sK139)),k9_waybel34(sK139),k8_waybel34(sK139)),
inference(subsumption_resolution,[],[f26987,f24580]) ).
fof(f26987,plain,
( r3_yellow20(k5_waybel34(sK139),k4_waybel34(sK139),k15_functor0(k4_waybel34(sK139),k5_waybel34(sK139),k6_waybel34(sK139)),k9_waybel34(sK139),k8_waybel34(sK139))
| ~ v2_setfam_1(sK139) ),
inference(superposition,[],[f24579,f24649]) ).
fof(f24649,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| ~ v2_setfam_1(X0) ),
inference(consistent_polarity_flipping,[],[f21794]) ).
fof(f21794,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19054]) ).
fof(f19054,plain,
! [X0] :
( ( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
& k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18941]) ).
fof(f18941,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
& k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f24579,plain,
r3_yellow20(k5_waybel34(sK139),k4_waybel34(sK139),k7_waybel34(sK139),k9_waybel34(sK139),k8_waybel34(sK139)),
inference(consistent_polarity_flipping,[],[f21704]) ).
fof(f21704,plain,
~ r3_yellow20(k5_waybel34(sK139),k4_waybel34(sK139),k7_waybel34(sK139),k9_waybel34(sK139),k8_waybel34(sK139)),
inference(cnf_transformation,[],[f20718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LAT376+3 : TPTP v8.2.0. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire %s %d THM
% 0.07/0.26 % Computer : n029.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri Jun 21 20:51:56 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.07/0.29 Running first-order theorem proving
% 0.07/0.29 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.97 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.76/0.97 % (29257)lrs+1011_1:1_sil=8000:nicw=on:i=1004:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2999ds/1004Mi)
% 0.77/0.99 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99 % (29255)lrs+1010_1:1_to=lpo:sil=8000:sos=on:spb=goal:rp=on:i=1785:nm=6:ss=included:sd=1_0 on theBenchmark for (2999ds/1785Mi)
% 0.77/0.99 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99 % (29256)ott-1010_16:1_bsr=unit_only:sil=64000:sos=on:urr=on:sac=on:i=3480:sd=2:kws=inv_frequency:ins=4:ss=axioms:br=off_0 on theBenchmark for (2999ds/3480Mi)
% 0.77/0.99 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99 % (29254)dis+1010_1:1_drc=off:sil=32000:rp=on:cond=fast:i=886:av=off:newcnf=on:bd=off:sfv=off:plsq=on:plsqr=1,32:erd=off_0 on theBenchmark for (2999ds/886Mi)
% 0.77/1.00 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.77/1.00 % (29253)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1102:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2999ds/1102Mi)
% 0.77/1.00 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.77/1.00 % (29251)lrs-1002_12164383:1048576_anc=all_dependent:bsr=on:sil=256000:i=187735:bs=unit_only:awrs=decay:awrsf=132:ep=R:amm=off:uhcvi=on:abs=on_0 on theBenchmark for (2999ds/187735Mi)
% 0.77/1.02 % (29250)Running in auto input_syntax mode. Trying TPTP
% 0.77/1.02 % (29252)lrs-1011_8:1_plsq=on:urr=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=235504:sd=2:ss=axioms:sil=256000:kws=inv_frequency:gsp=on_0 on theBenchmark for (2999ds/235504Mi)
% 2.27/1.17 % (29255)First to succeed.
% 2.27/1.17 % (29255)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29250"
% 2.27/1.17 % (29250)Running in auto input_syntax mode. Trying TPTP
% 2.27/1.17 % (29255)Refutation found. Thanks to Tanya!
% 2.27/1.17 % SZS status Theorem for theBenchmark
% 2.27/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.27/1.18 % (29255)------------------------------
% 2.27/1.18 % (29255)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.27/1.18 % (29255)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.27/1.18 % (29255)Termination reason: Refutation
% 2.27/1.18
% 2.27/1.18 % (29255)Memory used [KB]: 31687
% 2.27/1.18 % (29255)Time elapsed: 0.182 s
% 2.27/1.18 % (29255)Instructions burned: 371 (million)
% 2.27/1.18 % (29255)------------------------------
% 2.27/1.18 % (29255)------------------------------
% 2.27/1.18 % (29250)Success in time 0.335 s
%------------------------------------------------------------------------------