TSTP Solution File: SWV173+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV173+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_sat --cores 0 -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 : Wed Aug 31 18:55:43 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 269 ( 73 equ)
% Maximal formula atoms : 35 ( 13 avg)
% Number of connectives : 349 ( 100 ~; 90 |; 116 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,plain,
$false,
inference(subsumption_resolution,[],[f451,f421]) ).
fof(f421,plain,
init != sF32,
inference(definition_folding,[],[f258,f420]) ).
fof(f420,plain,
sF32 = a_select2(rhoold_init,sK4),
introduced(function_definition,[]) ).
fof(f258,plain,
init != a_select2(rhoold_init,sK4),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( gt(loopcounter,n1)
& ( ~ gt(loopcounter,n1)
| ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(rhoold_init,X0) ) )
& leq(pv10,n135299)
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(rho_init,X1) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) ) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(sigma_init,X4) )
& leq(n0,pv10)
& leq(n0,sK4)
& leq(sK4,n4)
& init != a_select2(rhoold_init,sK4)
& ( ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(sigmaold_init,X6) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( init = a_select2(mu_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select3(q_init,X8,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f185,f186]) ).
fof(f186,plain,
( ? [X5] :
( leq(n0,X5)
& leq(X5,n4)
& init != a_select2(rhoold_init,X5) )
=> ( leq(n0,sK4)
& leq(sK4,n4)
& init != a_select2(rhoold_init,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( gt(loopcounter,n1)
& ( ~ gt(loopcounter,n1)
| ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(rhoold_init,X0) ) )
& leq(pv10,n135299)
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(rho_init,X1) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) ) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(sigma_init,X4) )
& leq(n0,pv10)
& ? [X5] :
( leq(n0,X5)
& leq(X5,n4)
& init != a_select2(rhoold_init,X5) )
& ( ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(sigmaold_init,X6) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( init = a_select2(mu_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select3(q_init,X8,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
( gt(loopcounter,n1)
& ( ~ gt(loopcounter,n1)
| ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select2(rhoold_init,X7) ) )
& leq(pv10,n135299)
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(rho_init,X4) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ( ~ gt(loopcounter,n1)
| ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(muold_init,X8)
| ~ leq(X8,n4) ) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(sigma_init,X6) )
& leq(n0,pv10)
& ? [X9] :
( leq(n0,X9)
& leq(X9,n4)
& init != a_select2(rhoold_init,X9) )
& ( ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n4)
| init = a_select2(sigmaold_init,X3) )
| ~ gt(loopcounter,n1) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X1] :
( ! [X2] :
( ~ leq(X2,n4)
| ~ leq(n0,X2)
| init = a_select3(q_init,X1,X2) )
| ~ leq(X1,n135299)
| ~ leq(n0,X1) ) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& ! [X4] :
( init = a_select2(rho_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(X1,n135299)
| ~ leq(n0,X1) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& leq(pv10,n135299)
& ( ! [X7] :
( init = a_select2(rhoold_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select2(sigma_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& leq(n0,pv10)
& ( ! [X8] :
( init = a_select2(muold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
~ ( ( ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(rho_init,X4) )
& gt(loopcounter,n1)
& ! [X1] :
( ( leq(X1,n135299)
& leq(n0,X1) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(q_init,X1,X2) ) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(mu_init,X5) )
& leq(pv10,n135299)
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select2(rhoold_init,X7) ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select2(sigma_init,X6) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(sigmaold_init,X3) ) )
& ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select3(center_init,X0,n0) )
& leq(n0,pv10)
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> init = a_select2(muold_init,X8) ) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> init = a_select2(rhoold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(n0,pv10)
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& gt(loopcounter,n1)
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& leq(pv10,n135299) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(n0,pv10)
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& gt(loopcounter,n1)
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& leq(pv10,n135299) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0041) ).
fof(f451,plain,
init = sF32,
inference(backward_demodulation,[],[f420,f450]) ).
fof(f450,plain,
init = a_select2(rhoold_init,sK4),
inference(subsumption_resolution,[],[f449,f260]) ).
fof(f260,plain,
leq(n0,sK4),
inference(cnf_transformation,[],[f187]) ).
fof(f449,plain,
( ~ leq(n0,sK4)
| init = a_select2(rhoold_init,sK4) ),
inference(resolution,[],[f446,f259]) ).
fof(f259,plain,
leq(sK4,n4),
inference(cnf_transformation,[],[f187]) ).
fof(f446,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(rhoold_init,X0) ),
inference(resolution,[],[f267,f268]) ).
fof(f268,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f187]) ).
fof(f267,plain,
! [X0] :
( ~ gt(loopcounter,n1)
| ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(rhoold_init,X0) ),
inference(cnf_transformation,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV173+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n012.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 : Tue Aug 30 19:04:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (17228)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.49 % (17222)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (17213)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (17228)First to succeed.
% 0.20/0.52 % (17222)Also succeeded, but the first one will report.
% 0.20/0.52 % (17228)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (17228)------------------------------
% 0.20/0.52 % (17228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17228)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (17228)Memory used [KB]: 1407
% 0.20/0.52 % (17228)Time elapsed: 0.105 s
% 0.20/0.52 % (17228)Instructions burned: 20 (million)
% 0.20/0.52 % (17228)------------------------------
% 0.20/0.52 % (17228)------------------------------
% 0.20/0.52 % (17212)Success in time 0.165 s
%------------------------------------------------------------------------------