TSTP Solution File: ANA027-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 May 20 18:41:28 EDT 2024
% Result : Unsatisfiable 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 40
% Syntax : Number of formulae : 109 ( 18 unt; 0 def)
% Number of atoms : 290 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 337 ( 156 ~; 154 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 28 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f23,f28,f33,f37,f41,f45,f49,f53,f59,f63,f69,f74,f78,f84,f96,f102,f107,f115,f116,f118,f124,f126,f131,f136,f141,f145,f149,f154]) ).
fof(f154,plain,
( ~ spl0_24
| spl0_4
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f150,f147,f30,f133]) ).
fof(f133,plain,
( spl0_24
<=> c_lessequals(v_g(v_x),v_f(v_x),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f30,plain,
( spl0_4
<=> c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f147,plain,
( spl0_27
<=> ! [X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f150,plain,
( ~ c_lessequals(v_g(v_x),v_f(v_x),t_b)
| spl0_4
| ~ spl0_27 ),
inference(resolution,[],[f148,f32]) ).
fof(f32,plain,
( ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f148,plain,
( ! [X0,X1] :
( c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)
| ~ c_lessequals(X0,X1,t_b) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f149,plain,
( ~ spl0_17
| spl0_27
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f125,f122,f76,f147,f93]) ).
fof(f93,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f76,plain,
( spl0_14
<=> ! [X4,X0,X3,X2] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(c_plus(X2,X4,X0),X3,X0)
| c_lessequals(X2,c_minus(X3,X4,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f122,plain,
( spl0_22
<=> ! [X0] : c_plus(c_0,X0,t_b) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f125,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) )
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f77,f123]) ).
fof(f123,plain,
( ! [X0] : c_plus(c_0,X0,t_b) = X0
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f77,plain,
( ! [X2,X3,X0,X4] :
( ~ c_lessequals(c_plus(X2,X4,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X2,c_minus(X3,X4,X0),X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f145,plain,
( spl0_26
| ~ spl0_21
| ~ spl0_11
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f137,f133,f61,f112,f143]) ).
fof(f143,plain,
( spl0_26
<=> ! [X0] :
( ~ c_lessequals(v_f(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f112,plain,
( spl0_21
<=> class_Orderings_Oorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f61,plain,
( spl0_11
<=> ! [X5,X0,X6,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X6,X1,X0)
| ~ c_lessequals(X1,X5,X0)
| c_lessequals(X6,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f137,plain,
( ! [X0] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(v_f(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) )
| ~ spl0_11
| ~ spl0_24 ),
inference(resolution,[],[f135,f62]) ).
fof(f62,plain,
( ! [X0,X1,X6,X5] :
( ~ c_lessequals(X6,X1,X0)
| ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X1,X5,X0)
| c_lessequals(X6,X5,X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f135,plain,
( c_lessequals(v_g(v_x),v_f(v_x),t_b)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f141,plain,
( spl0_25
| ~ spl0_21
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f119,f99,f61,f112,f139]) ).
fof(f139,plain,
( spl0_25
<=> ! [X0] :
( ~ c_lessequals(v_f(v_x),X0,t_b)
| c_lessequals(v_k(v_x),X0,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f99,plain,
( spl0_18
<=> c_lessequals(v_k(v_x),v_f(v_x),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f119,plain,
( ! [X0] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(v_f(v_x),X0,t_b)
| c_lessequals(v_k(v_x),X0,t_b) )
| ~ spl0_11
| ~ spl0_18 ),
inference(resolution,[],[f100,f62]) ).
fof(f100,plain,
( c_lessequals(v_k(v_x),v_f(v_x),t_b)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f136,plain,
( spl0_24
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f127,f109,f99,f133]) ).
fof(f109,plain,
( spl0_20
<=> ! [X0] :
( ~ c_lessequals(v_k(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f127,plain,
( c_lessequals(v_g(v_x),v_f(v_x),t_b)
| ~ spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f110,f100]) ).
fof(f110,plain,
( ! [X0] :
( ~ c_lessequals(v_k(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f131,plain,
( spl0_23
| ~ spl0_21
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f65,f61,f25,f112,f129]) ).
fof(f129,plain,
( spl0_23
<=> ! [X0] :
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),X0,t_b)
| c_lessequals(c_0,X0,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f25,plain,
( spl0_3
<=> c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f65,plain,
( ! [X0] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),X0,t_b)
| c_lessequals(c_0,X0,t_b) )
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f62,f27]) ).
fof(f27,plain,
( c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f126,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f120,f104,f35,f112]) ).
fof(f35,plain,
( spl0_5
<=> ! [X7] :
( ~ class_LOrder_Ojoin__semilorder(X7)
| class_Orderings_Oorder(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f104,plain,
( spl0_19
<=> class_LOrder_Ojoin__semilorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f120,plain,
( class_Orderings_Oorder(t_b)
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f106,f36]) ).
fof(f36,plain,
( ! [X7] :
( ~ class_LOrder_Ojoin__semilorder(X7)
| class_Orderings_Oorder(X7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f106,plain,
( class_LOrder_Ojoin__semilorder(t_b)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f124,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f85,f71,f57,f122]) ).
fof(f57,plain,
( spl0_10
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f71,plain,
( spl0_13
<=> class_OrderedGroup_Ocomm__monoid__add(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f85,plain,
( ! [X0] : c_plus(c_0,X0,t_b) = X0
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f73,f58]) ).
fof(f58,plain,
( ! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f73,plain,
( class_OrderedGroup_Ocomm__monoid__add(t_b)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f118,plain,
( spl0_18
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f117,f89,f71,f57,f99]) ).
fof(f89,plain,
( spl0_16
<=> c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f117,plain,
( c_lessequals(v_k(v_x),v_f(v_x),t_b)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f91,f85]) ).
fof(f91,plain,
( c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f116,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f87,f81,f39,f93]) ).
fof(f39,plain,
( spl0_6
<=> ! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_OrderedGroup_Opordered__ab__group__add(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f81,plain,
( spl0_15
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f87,plain,
( class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f83,f40]) ).
fof(f40,plain,
( ! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_OrderedGroup_Opordered__ab__group__add(X7) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f83,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f115,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f64,f61,f20,f112,f109]) ).
fof(f20,plain,
( spl0_2
<=> c_lessequals(v_g(v_x),v_k(v_x),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f64,plain,
( ! [X0] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(v_k(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) )
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f62,f22]) ).
fof(f22,plain,
( c_lessequals(v_g(v_x),v_k(v_x),t_b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f107,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f86,f81,f43,f104]) ).
fof(f43,plain,
( spl0_7
<=> ! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_LOrder_Ojoin__semilorder(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f86,plain,
( class_LOrder_Ojoin__semilorder(t_b)
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f83,f44]) ).
fof(f44,plain,
( ! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_LOrder_Ojoin__semilorder(X7) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f102,plain,
( ~ spl0_18
| ~ spl0_10
| ~ spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f97,f89,f71,f57,f99]) ).
fof(f97,plain,
( ~ c_lessequals(v_k(v_x),v_f(v_x),t_b)
| ~ spl0_10
| ~ spl0_13
| spl0_16 ),
inference(forward_demodulation,[],[f90,f85]) ).
fof(f90,plain,
( ~ c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)
| spl0_16 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f96,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f79,f67,f25,f93,f89]) ).
fof(f67,plain,
( spl0_12
<=> ! [X4,X0,X3,X2] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(X2,c_minus(X3,X4,X0),X0)
| c_lessequals(c_plus(X2,X4,X0),X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f79,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f68,f27]) ).
fof(f68,plain,
( ! [X2,X3,X0,X4] :
( ~ c_lessequals(X2,c_minus(X3,X4,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_plus(X2,X4,X0),X3,X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f84,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f55,f51,f15,f81]) ).
fof(f15,plain,
( spl0_1
<=> class_Ring__and__Field_Oordered__idom(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f51,plain,
( spl0_9
<=> ! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f55,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f52,f17]) ).
fof(f17,plain,
( class_Ring__and__Field_Oordered__idom(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f52,plain,
( ! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f78,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f76]) ).
fof(f7,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(c_plus(X2,X4,X0),X3,X0)
| c_lessequals(X2,c_minus(X3,X4,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f74,plain,
( spl0_13
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f54,f47,f15,f71]) ).
fof(f47,plain,
( spl0_8
<=> ! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Ocomm__monoid__add(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f54,plain,
( class_OrderedGroup_Ocomm__monoid__add(t_b)
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f48,f17]) ).
fof(f48,plain,
( ! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Ocomm__monoid__add(X7) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f69,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f67]) ).
fof(f6,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(X2,c_minus(X3,X4,X0),X0)
| c_lessequals(c_plus(X2,X4,X0),X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f63,plain,
spl0_11,
inference(avatar_split_clause,[],[f8,f61]) ).
fof(f8,axiom,
! [X0,X1,X6,X5] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X6,X1,X0)
| ~ c_lessequals(X1,X5,X0)
| c_lessequals(X6,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f59,plain,
spl0_10,
inference(avatar_split_clause,[],[f5,f57]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f53,plain,
spl0_9,
inference(avatar_split_clause,[],[f13,f51]) ).
fof(f13,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f49,plain,
spl0_8,
inference(avatar_split_clause,[],[f12,f47]) ).
fof(f12,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Ocomm__monoid__add(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f45,plain,
spl0_7,
inference(avatar_split_clause,[],[f11,f43]) ).
fof(f11,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_LOrder_Ojoin__semilorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f41,plain,
spl0_6,
inference(avatar_split_clause,[],[f10,f39]) ).
fof(f10,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_OrderedGroup_Opordered__ab__group__add(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f37,plain,
spl0_5,
inference(avatar_split_clause,[],[f9,f35]) ).
fof(f9,axiom,
! [X7] :
( ~ class_LOrder_Ojoin__semilorder(X7)
| class_Orderings_Oorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f33,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f3,f30]) ).
fof(f3,axiom,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f28,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f25]) ).
fof(f1,axiom,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f23,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f20]) ).
fof(f2,axiom,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f18,plain,
spl0_1,
inference(avatar_split_clause,[],[f4,f15]) ).
fof(f4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 08:00:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (2629)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (2633)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 % (2636)WARNING: value z3 for option sas not known
% 0.20/0.37 % (2635)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (2636)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)
% 0.20/0.37 % (2638)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)
% 0.20/0.37 % (2639)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)
% 0.20/0.37 % (2637)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 TRYING [3]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 % (2638)First to succeed.
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 % (2639)Also succeeded, but the first one will report.
% 0.20/0.38 TRYING [3]
% 0.20/0.38 % (2636)Also succeeded, but the first one will report.
% 0.20/0.38 % (2640)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)
% 0.20/0.38 % (2638)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2629"
% 0.20/0.38 TRYING [3]
% 0.20/0.38 % (2638)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (2638)------------------------------
% 0.20/0.38 % (2638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (2638)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (2638)Memory used [KB]: 797
% 0.20/0.38 % (2638)Time elapsed: 0.007 s
% 0.20/0.38 % (2638)Instructions burned: 7 (million)
% 0.20/0.38 % (2629)Success in time 0.02 s
%------------------------------------------------------------------------------