TSTP Solution File: SWV166+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV166+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 : n027.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 18:55:42 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 273 ( 76 equ)
% Maximal formula atoms : 36 ( 16 avg)
% Number of connectives : 363 ( 107 ~; 90 |; 123 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f464,plain,
$false,
inference(subsumption_resolution,[],[f463,f293]) ).
fof(f293,plain,
leq(n0,sK10),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( leq(pv40,n4)
& ! [X0] :
( ~ leq(X0,pred(pv40))
| ~ leq(n0,X0)
| init = a_select2(mu_init,X0) )
& init != a_select2(rhoold_init,sK10)
& leq(n0,sK10)
& leq(sK10,n4)
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4) ) )
& ! [X5] :
( init = a_select2(rho_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ( ! [X6] :
( init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( ~ leq(X7,pred(pv40))
| ~ leq(n0,X7)
| init = a_select2(sigma_init,X7) )
& gt(loopcounter,n1)
& ( ! [X8] :
( ~ leq(X8,n4)
| init = a_select2(muold_init,X8)
| ~ leq(n0,X8) )
| ~ gt(loopcounter,n1) )
& n0 != pv90
& ( ! [X9] :
( ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9)
| ~ leq(X9,n4) )
| ~ gt(loopcounter,n1) )
& leq(n0,pv40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f190,f191]) ).
fof(f191,plain,
( ? [X1] :
( init != a_select2(rhoold_init,X1)
& leq(n0,X1)
& leq(X1,n4) )
=> ( init != a_select2(rhoold_init,sK10)
& leq(n0,sK10)
& leq(sK10,n4) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
( leq(pv40,n4)
& ! [X0] :
( ~ leq(X0,pred(pv40))
| ~ leq(n0,X0)
| init = a_select2(mu_init,X0) )
& ? [X1] :
( init != a_select2(rhoold_init,X1)
& leq(n0,X1)
& leq(X1,n4) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4) ) )
& ! [X5] :
( init = a_select2(rho_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ( ! [X6] :
( init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( ~ leq(X7,pred(pv40))
| ~ leq(n0,X7)
| init = a_select2(sigma_init,X7) )
& gt(loopcounter,n1)
& ( ! [X8] :
( ~ leq(X8,n4)
| init = a_select2(muold_init,X8)
| ~ leq(n0,X8) )
| ~ gt(loopcounter,n1) )
& n0 != pv90
& ( ! [X9] :
( ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9)
| ~ leq(X9,n4) )
| ~ gt(loopcounter,n1) )
& leq(n0,pv40) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
( leq(pv40,n4)
& ! [X0] :
( ~ leq(X0,pred(pv40))
| ~ leq(n0,X0)
| init = a_select2(mu_init,X0) )
& ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X1] :
( ~ leq(X1,n135299)
| ~ leq(n0,X1)
| ! [X2] :
( ~ leq(X2,n4)
| init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2) ) )
& ! [X8] :
( init = a_select2(rho_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ( ! [X6] :
( init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( ~ leq(X4,pred(pv40))
| ~ leq(n0,X4)
| init = a_select2(sigma_init,X4) )
& gt(loopcounter,n1)
& ( ! [X7] :
( ~ leq(X7,n4)
| init = a_select2(muold_init,X7)
| ~ leq(n0,X7) )
| ~ gt(loopcounter,n1) )
& n0 != pv90
& ( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) )
& leq(n0,pv40) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& leq(n0,pv40)
& n0 != pv90
& ! [X0] :
( init = a_select2(mu_init,X0)
| ~ leq(X0,pred(pv40))
| ~ leq(n0,X0) )
& ( ! [X6] :
( init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,pred(pv40)) )
& ( ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& gt(loopcounter,n1)
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& leq(pv40,n4)
& ! [X8] :
( init = a_select2(rho_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) ) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
~ ( ( leq(n0,pv40)
& n0 != pv90
& ! [X0] :
( ( leq(X0,pred(pv40))
& leq(n0,X0) )
=> init = a_select2(mu_init,X0) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select2(rhoold_init,X6) ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,pred(pv40)) )
=> init = a_select2(sigma_init,X4) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select2(muold_init,X7) ) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n135299) )
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select3(q_init,X1,X2) ) )
& gt(loopcounter,n1)
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(sigmaold_init,X3) ) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(center_init,X5,n0) )
& leq(pv40,n4)
& ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(rho_init,X8) ) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(rhoold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv40,n4)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv40)) )
=> init = a_select2(mu_init,X19) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& n0 != pv90
& leq(n0,pv40)
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& gt(loopcounter,n1)
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ( 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) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) ) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(rhoold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv40,n4)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv40)) )
=> init = a_select2(mu_init,X19) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& n0 != pv90
& leq(n0,pv40)
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& gt(loopcounter,n1)
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ( 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) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) ) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(rhoold_init,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0006) ).
fof(f463,plain,
~ leq(n0,sK10),
inference(subsumption_resolution,[],[f461,f294]) ).
fof(f294,plain,
init != a_select2(rhoold_init,sK10),
inference(cnf_transformation,[],[f192]) ).
fof(f461,plain,
( init = a_select2(rhoold_init,sK10)
| ~ leq(n0,sK10) ),
inference(resolution,[],[f460,f292]) ).
fof(f292,plain,
leq(sK10,n4),
inference(cnf_transformation,[],[f192]) ).
fof(f460,plain,
! [X6] :
( ~ leq(X6,n4)
| init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6) ),
inference(subsumption_resolution,[],[f288,f286]) ).
fof(f286,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f192]) ).
fof(f288,plain,
! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(rhoold_init,X6)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV166+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:19:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (24174)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (24184)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50 % (24176)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (24191)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.51 % (24168)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (24183)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (24166)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (24184)First to succeed.
% 0.20/0.52 % (24184)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 % (24184)------------------------------
% 0.20/0.52 % (24184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24184)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (24184)Memory used [KB]: 1279
% 0.20/0.52 % (24184)Time elapsed: 0.064 s
% 0.20/0.52 % (24184)Instructions burned: 12 (million)
% 0.20/0.52 % (24184)------------------------------
% 0.20/0.52 % (24184)------------------------------
% 0.20/0.52 % (24161)Success in time 0.165 s
%------------------------------------------------------------------------------