TSTP Solution File: SWV183+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV183+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n012.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 : Thu Aug 31 23:08:02 EDT 2023
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 313 ( 89 equ)
% Maximal formula atoms : 42 ( 19 avg)
% Number of connectives : 419 ( 122 ~; 112 |; 132 &)
% ( 1 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 95 (; 91 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760,plain,
$false,
inference(unit_resulting_resolution,[],[f239,f240,f421,f430]) ).
fof(f430,plain,
! [X9] :
( sQ32_eqProxy(init,a_select2(mu_init,X9))
| ~ leq(X9,n4)
| ~ leq(n0,X9) ),
inference(equality_proxy_replacement,[],[f230,f420]) ).
fof(f420,plain,
! [X0,X1] :
( sQ32_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ32_eqProxy])]) ).
fof(f230,plain,
! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( init != a_select2(mu_init,sK4)
& leq(sK4,n4)
& leq(n0,sK4)
& ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ( ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( init = a_select2(rho_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) )
& ! [X11] :
( ! [X12] :
( init = a_select3(q_init,X11,X12)
| ~ leq(X12,n4)
| ~ leq(n0,X12) )
| ~ leq(X11,n135299)
| ~ leq(n0,X11) )
& gt(loopcounter,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f177,f178]) ).
fof(f178,plain,
( ? [X0] :
( init != a_select2(mu_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(mu_init,sK4)
& leq(sK4,n4)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ? [X0] :
( init != a_select2(mu_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ( ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( init = a_select2(rho_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) )
& ! [X11] :
( ! [X12] :
( init = a_select3(q_init,X11,X12)
| ~ leq(X12,n4)
| ~ leq(n0,X12) )
| ~ leq(X11,n135299)
| ~ leq(n0,X11) )
& gt(loopcounter,n0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) )
& ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& gt(loopcounter,n0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) )
& ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& gt(loopcounter,n0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigmaold_init,X3) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(rhoold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(muold_init,X5) ) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select3(center_init,X6,n0) )
& ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select2(sigma_init,X7) )
& ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(mu_init,X8) )
& ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(rho_init,X9) )
& ! [X10] :
( ( leq(X10,n135299)
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> init = a_select3(q_init,X10,X11) ) )
& gt(loopcounter,n0) )
=> ! [X12] :
( ( leq(X12,n4)
& leq(n0,X12) )
=> init = a_select2(mu_init,X12) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n0) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> init = a_select2(mu_init,X18) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n0) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> init = a_select2(mu_init,X18) ) ),
file('/export/starexec/sandbox/tmp/tmp.5SNYlRQkyg/Vampire---4.8_7379',cl5_nebula_init_0091) ).
fof(f421,plain,
~ sQ32_eqProxy(init,a_select2(mu_init,sK4)),
inference(equality_proxy_replacement,[],[f241,f420]) ).
fof(f241,plain,
init != a_select2(mu_init,sK4),
inference(cnf_transformation,[],[f179]) ).
fof(f240,plain,
leq(sK4,n4),
inference(cnf_transformation,[],[f179]) ).
fof(f239,plain,
leq(n0,sK4),
inference(cnf_transformation,[],[f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV183+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.35 % Computer : n012.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 08:13:09 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.5SNYlRQkyg/Vampire---4.8_7379
% 0.16/0.36 % (7495)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (7497)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.41 % (7497)First to succeed.
% 0.22/0.41 % (7497)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for Vampire---4
% 0.22/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.41 % (7497)------------------------------
% 0.22/0.41 % (7497)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.41 % (7497)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.41 % (7497)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (7497)Memory used [KB]: 1535
% 0.22/0.41 % (7497)Time elapsed: 0.010 s
% 0.22/0.41 % (7497)------------------------------
% 0.22/0.41 % (7497)------------------------------
% 0.22/0.41 % (7495)Success in time 0.047 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------