TSTP Solution File: SWV183+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.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 : Wed Aug 31 18:44:25 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 307 ( 88 equ)
% Maximal formula atoms : 42 ( 23 avg)
% Number of connectives : 413 ( 119 ~; 110 |; 132 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 92 ( 88 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(unit_resulting_resolution,[],[f149,f148,f147,f155]) ).
fof(f155,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(mu_init,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( ~ gt(loopcounter,n1)
| ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(mu_init,X2) )
& gt(loopcounter,n0)
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(X3,n4)
| ~ leq(n0,X3)
| init = a_select2(muold_init,X3) ) )
& ! [X4] :
( ~ leq(X4,n4)
| init = a_select2(rho_init,X4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select2(sigma_init,X7) )
& leq(n0,sK1)
& leq(sK1,n4)
& init != a_select2(mu_init,sK1)
& ! [X9] :
( init = a_select3(center_init,X9,n0)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X10] :
( init = a_select2(sigmaold_init,X10)
| ~ leq(n0,X10)
| ~ leq(X10,n4) )
& ! [X11] :
( ~ leq(n0,X11)
| ~ leq(X11,n4)
| init = a_select2(muold_init,X11) )
& ( ! [X12] :
( ~ leq(X12,n4)
| ~ leq(n0,X12)
| init = a_select2(rhoold_init,X12) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f128,f129]) ).
fof(f129,plain,
( ? [X8] :
( leq(n0,X8)
& leq(X8,n4)
& init != a_select2(mu_init,X8) )
=> ( leq(n0,sK1)
& leq(sK1,n4)
& init != a_select2(mu_init,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ( ~ gt(loopcounter,n1)
| ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(mu_init,X2) )
& gt(loopcounter,n0)
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(X3,n4)
| ~ leq(n0,X3)
| init = a_select2(muold_init,X3) ) )
& ! [X4] :
( ~ leq(X4,n4)
| init = a_select2(rho_init,X4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select2(sigma_init,X7) )
& ? [X8] :
( leq(n0,X8)
& leq(X8,n4)
& init != a_select2(mu_init,X8) )
& ! [X9] :
( init = a_select3(center_init,X9,n0)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X10] :
( init = a_select2(sigmaold_init,X10)
| ~ leq(n0,X10)
| ~ leq(X10,n4) )
& ! [X11] :
( ~ leq(n0,X11)
| ~ leq(X11,n4)
| init = a_select2(muold_init,X11) )
& ( ! [X12] :
( ~ leq(X12,n4)
| ~ leq(n0,X12)
| init = a_select2(rhoold_init,X12) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
( ( ~ gt(loopcounter,n1)
| ! [X8] :
( init = a_select2(sigmaold_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) ) )
& ! [X9] :
( init = a_select2(rhoold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(mu_init,X2) )
& gt(loopcounter,n0)
& ( ~ gt(loopcounter,n1)
| ! [X1] :
( ~ leq(X1,n4)
| ~ leq(n0,X1)
| init = a_select2(muold_init,X1) ) )
& ! [X7] :
( ~ leq(X7,n4)
| init = a_select2(rho_init,X7)
| ~ leq(n0,X7) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(n0,X11)
| ~ leq(X11,n4) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& ! [X3] :
( ~ leq(X3,n4)
| ~ leq(n0,X3)
| init = a_select2(sigma_init,X3) )
& ? [X12] :
( leq(n0,X12)
& leq(X12,n4)
& init != a_select2(mu_init,X12) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( init = a_select2(sigmaold_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(muold_init,X6) )
& ( ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(rhoold_init,X0) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(n0,X12)
& leq(X12,n4) )
& ( ! [X0] :
( init = a_select2(rhoold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X3] :
( init = a_select2(sigma_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& gt(loopcounter,n0)
& ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X5] :
( init = a_select2(sigmaold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ( ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( init = a_select2(sigmaold_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ gt(loopcounter,n1) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X9] :
( init = a_select2(rhoold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(rhoold_init,X0) ) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select3(center_init,X4,n0) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigma_init,X3) )
& gt(loopcounter,n0)
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(muold_init,X6) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select2(muold_init,X1) ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(sigmaold_init,X8) ) )
& ! [X10] :
( ( leq(X10,n135299)
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> init = a_select3(q_init,X10,X11) ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) )
& ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select2(rho_init,X7) )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> init = a_select2(rhoold_init,X9) ) )
=> ! [X12] :
( ( leq(n0,X12)
& leq(X12,n4) )
=> init = a_select2(mu_init,X12) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( 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) ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(muold_init,X10) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& gt(loopcounter,n0)
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) ) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> init = a_select2(mu_init,X18) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( 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) ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(muold_init,X10) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& gt(loopcounter,n0)
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) ) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> init = a_select2(mu_init,X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0091) ).
fof(f147,plain,
init != a_select2(mu_init,sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f148,plain,
leq(sK1,n4),
inference(cnf_transformation,[],[f130]) ).
fof(f149,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.09/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 19:29:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.46 % (7587)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.47 % (7587)First to succeed.
% 0.20/0.47 % (7595)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48 % (7587)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (7587)------------------------------
% 0.20/0.48 % (7587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (7587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (7587)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (7587)Memory used [KB]: 6140
% 0.20/0.48 % (7587)Time elapsed: 0.089 s
% 0.20/0.48 % (7587)Instructions burned: 6 (million)
% 0.20/0.48 % (7587)------------------------------
% 0.20/0.48 % (7587)------------------------------
% 0.20/0.48 % (7583)Success in time 0.142 s
%------------------------------------------------------------------------------