TSTP Solution File: MGT011+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT011+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Fri Sep 1 19:44:32 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 77 ( 22 unt; 0 def)
% Number of atoms : 301 ( 7 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 369 ( 145 ~; 122 |; 81 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 248 (; 226 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(unit_resulting_resolution,[],[f35,f72,f149,f36,f118,f96,f58]) ).
fof(f58,plain,
! [X0,X1,X8,X7,X5] :
( ~ sP11(X0,X8,X1,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7)
| ~ sP9(X5,X8,X1)
| ~ sP10(X0,X8,X1,X7)
| ~ inertia(X0,X5,X7) ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f57,plain,
! [X0,X1,X8,X7,X4] :
( ~ sP8(X0,X7,X4)
| ~ size(X1,X4,X8)
| sP11(X0,X8,X1,X7) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
! [X7,X1,X8,X0] :
( ! [X4] :
( ~ sP8(X0,X7,X4)
| ~ size(X1,X4,X8) )
<=> ~ sP11(X0,X8,X1,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f56,plain,
! [X0,X1,X8,X7,X4,X5] :
( ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ organization(X1,X8)
| ~ organization(X0,X7)
| ~ sP8(X0,X7,X4)
| ~ sP9(X5,X8,X1)
| ~ sP10(X0,X8,X1,X7) ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f55,plain,
! [X2,X0,X1,X8,X7] :
( ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| sP10(X0,X8,X1,X7) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
! [X7,X1,X8,X0] :
( ! [X2] :
( ~ class(X1,X2,X8)
| ~ class(X0,X2,X7) )
<=> ~ sP10(X0,X8,X1,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f54,plain,
! [X2,X0,X1,X8,X7,X4,X5] :
( ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7)
| ~ sP8(X0,X7,X4)
| ~ sP9(X5,X8,X1) ),
inference(general_splitting,[],[f52,f53_D]) ).
fof(f53,plain,
! [X1,X8,X6,X5] :
( ~ inertia(X1,X6,X8)
| greater(X6,X5)
| sP9(X5,X8,X1) ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
! [X1,X8,X5] :
( ! [X6] :
( ~ inertia(X1,X6,X8)
| greater(X6,X5) )
<=> ~ sP9(X5,X8,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f52,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( greater(X6,X5)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7)
| ~ sP8(X0,X7,X4) ),
inference(general_splitting,[],[f43,f51_D]) ).
fof(f51,plain,
! [X3,X0,X7,X4] :
( ~ size(X0,X3,X7)
| ~ greater(X4,X3)
| sP8(X0,X7,X4) ),
inference(cnf_transformation,[],[f51_D]) ).
fof(f51_D,plain,
! [X4,X7,X0] :
( ! [X3] :
( ~ size(X0,X3,X7)
| ~ greater(X4,X3) )
<=> ~ sP8(X0,X7,X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ size(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ size(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ size(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X4,X3)
& inertia(X1,X6,X8)
& inertia(X0,X5,X7)
& size(X1,X4,X8)
& size(X0,X3,X7)
& class(X1,X2,X8)
& class(X0,X2,X7)
& organization(X1,X8)
& organization(X0,X7) )
=> greater(X6,X5) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X3,X4,X9,X10,X11,X12,X5,X6] :
( ( greater(X10,X9)
& inertia(X3,X12,X6)
& inertia(X0,X11,X5)
& size(X3,X10,X6)
& size(X0,X9,X5)
& class(X3,X4,X6)
& class(X0,X4,X5)
& organization(X3,X6)
& organization(X0,X5) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',a5_FOL) ).
fof(f96,plain,
sP11(sK0,sK3,sK0,sK4),
inference(unit_resulting_resolution,[],[f38,f81,f57]) ).
fof(f81,plain,
sP8(sK0,sK4,sK1),
inference(unit_resulting_resolution,[],[f41,f39,f51]) ).
fof(f39,plain,
size(sK0,sK2,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( greater(sK1,sK2)
& greater(sK4,sK3)
& size(sK0,sK2,sK4)
& size(sK0,sK1,sK3)
& reorganization_free(sK0,sK3,sK4)
& organization(sK0,sK4)
& organization(sK0,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f18,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2,X3,X4] :
( greater(X1,X2)
& greater(X4,X3)
& size(X0,X2,X4)
& size(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> ( greater(sK1,sK2)
& greater(sK4,sK3)
& size(sK0,sK2,sK4)
& size(sK0,sK1,sK3)
& reorganization_free(sK0,sK3,sK4)
& organization(sK0,sK4)
& organization(sK0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3,X4] :
( greater(X1,X2)
& greater(X4,X3)
& size(X0,X2,X4)
& size(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3,X4] :
( greater(X1,X2)
& greater(X4,X3)
& size(X0,X2,X4)
& size(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& size(X0,X2,X4)
& size(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> ~ greater(X1,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X9,X10,X5,X6] :
( ( greater(X6,X5)
& size(X0,X10,X6)
& size(X0,X9,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> ~ greater(X9,X10) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X9,X10,X5,X6] :
( ( greater(X6,X5)
& size(X0,X10,X6)
& size(X0,X9,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> ~ greater(X9,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',t11_FOL) ).
fof(f41,plain,
greater(sK1,sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f38,plain,
size(sK0,sK1,sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f118,plain,
sP10(sK0,sK3,sK0,sK4),
inference(unit_resulting_resolution,[],[f75,f111,f55]) ).
fof(f111,plain,
class(sK0,sK6(sK0,sK3),sK4),
inference(superposition,[],[f76,f103]) ).
fof(f103,plain,
sK6(sK0,sK3) = sK6(sK0,sK4),
inference(unit_resulting_resolution,[],[f75,f35,f100,f60]) ).
fof(f60,plain,
! [X3,X0,X1,X4] :
( ~ sP12(X4,X0,X1)
| ~ class(X0,X3,X1)
| ~ organization(X0,X1)
| X3 = X4 ),
inference(general_splitting,[],[f48,f59_D]) ).
fof(f59,plain,
! [X2,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ class(X0,X4,X2)
| ~ organization(X0,X2)
| sP12(X4,X0,X1) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
! [X1,X0,X4] :
( ! [X2] :
( ~ reorganization_free(X0,X1,X2)
| ~ class(X0,X4,X2)
| ~ organization(X0,X2) )
<=> ~ sP12(X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ( class(X0,X4,X2)
& class(X0,X3,X1)
& reorganization_free(X0,X1,X2)
& organization(X0,X2)
& organization(X0,X1) )
=> X3 = X4 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X5,X6,X7,X8] :
( ( class(X0,X8,X6)
& class(X0,X7,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> X7 = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',mp10) ).
fof(f100,plain,
sP12(sK6(sK0,sK4),sK0,sK3),
inference(unit_resulting_resolution,[],[f36,f76,f37,f59]) ).
fof(f37,plain,
reorganization_free(sK0,sK3,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f76,plain,
class(sK0,sK6(sK0,sK4),sK4),
inference(unit_resulting_resolution,[],[f36,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| class(X0,sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( class(X0,sK6(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f24,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] : class(X0,X2,X1)
=> class(X0,sK6(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] : class(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : class(X0,X2,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X4] : class(X0,X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',mp9) ).
fof(f75,plain,
class(sK0,sK6(sK0,sK3),sK3),
inference(unit_resulting_resolution,[],[f35,f45]) ).
fof(f36,plain,
organization(sK0,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f149,plain,
sP9(sK5(sK0,sK4),sK3,sK0),
inference(unit_resulting_resolution,[],[f71,f143,f53]) ).
fof(f143,plain,
~ greater(sK5(sK0,sK3),sK5(sK0,sK4)),
inference(unit_resulting_resolution,[],[f140,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X3] :
~ ( greater(X3,X0)
& greater(X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',mp6_2) ).
fof(f140,plain,
greater(sK5(sK0,sK4),sK5(sK0,sK3)),
inference(unit_resulting_resolution,[],[f72,f134,f49]) ).
fof(f49,plain,
! [X2,X0,X1,X4] :
( ~ inertia(X0,X2,X4)
| greater(X2,X1)
| sP7(X4,X0,X1) ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
! [X1,X0,X4] :
( ! [X2] :
( ~ inertia(X0,X2,X4)
| greater(X2,X1) )
<=> ~ sP7(X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f134,plain,
~ sP7(sK4,sK0,sK5(sK0,sK3)),
inference(unit_resulting_resolution,[],[f40,f35,f36,f37,f71,f50]) ).
fof(f50,plain,
! [X3,X0,X1,X4] :
( ~ sP7(X4,X0,X1)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3)
| ~ greater(X4,X3) ),
inference(general_splitting,[],[f42,f49_D]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& inertia(X0,X2,X4)
& inertia(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X11,X12,X5,X6] :
( ( greater(X6,X5)
& inertia(X0,X12,X6)
& inertia(X0,X11,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',t2_FOL) ).
fof(f40,plain,
greater(sK4,sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
inertia(sK0,sK5(sK0,sK3),sK3),
inference(unit_resulting_resolution,[],[f35,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| inertia(X0,sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f23,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
=> inertia(X0,sK5(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : inertia(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.gseWP3c3yk/Vampire---4.8_1775',mp5) ).
fof(f72,plain,
inertia(sK0,sK5(sK0,sK4),sK4),
inference(unit_resulting_resolution,[],[f36,f44]) ).
fof(f35,plain,
organization(sK0,sK3),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : MGT011+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 16:59:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (1972)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1979)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (1976)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (1977)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (1981)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (1982)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (1980)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (1983)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 % (1983)First to succeed.
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [4]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [4]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 % (1981)Also succeeded, but the first one will report.
% 0.21/0.43 % (1982)Also succeeded, but the first one will report.
% 0.21/0.43 % (1983)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (1983)------------------------------
% 0.21/0.43 % (1983)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (1983)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (1983)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (1983)Memory used [KB]: 1023
% 0.21/0.43 % (1983)Time elapsed: 0.007 s
% 0.21/0.43 % (1983)------------------------------
% 0.21/0.43 % (1983)------------------------------
% 0.21/0.43 % (1972)Success in time 0.067 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------