TSTP Solution File: SWV176+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV176+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 : n018.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 280 ( 69 equ)
% Maximal formula atoms : 37 ( 16 avg)
% Number of connectives : 363 ( 100 ~; 90 |; 130 &)
% ( 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(f456,plain,
$false,
inference(subsumption_resolution,[],[f455,f315]) ).
fof(f315,plain,
leq(n0,sK18),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( leq(pv40,n4)
& ! [X0] :
( init = a_select2(mu_init,X0)
| ~ leq(X0,pred(pv40))
| ~ leq(n0,X0) )
& leq(n0,pv44)
& ( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(rhoold_init,X1) )
| ~ gt(loopcounter,n1) )
& leq(pv44,n135299)
& leq(n0,sK18)
& leq(sK18,n4)
& init != a_select2(muold_init,sK18)
& leq(n0,pv40)
& gt(loopcounter,n1)
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(rho_init,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( ~ leq(n0,X6)
| init = a_select2(sigmaold_init,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ~ gt(loopcounter,n1)
| ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) ) )
& ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(sigma_init,X8)
| ~ leq(X8,pred(pv40)) )
& ! [X9] :
( init = a_select3(center_init,X9,n0)
| ~ leq(n0,X9)
| ~ leq(X9,n4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f211,f212]) ).
fof(f212,plain,
( ? [X2] :
( leq(n0,X2)
& leq(X2,n4)
& init != a_select2(muold_init,X2) )
=> ( leq(n0,sK18)
& leq(sK18,n4)
& init != a_select2(muold_init,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
( leq(pv40,n4)
& ! [X0] :
( init = a_select2(mu_init,X0)
| ~ leq(X0,pred(pv40))
| ~ leq(n0,X0) )
& leq(n0,pv44)
& ( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(rhoold_init,X1) )
| ~ gt(loopcounter,n1) )
& leq(pv44,n135299)
& ? [X2] :
( leq(n0,X2)
& leq(X2,n4)
& init != a_select2(muold_init,X2) )
& leq(n0,pv40)
& gt(loopcounter,n1)
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(rho_init,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( ~ leq(n0,X6)
| init = a_select2(sigmaold_init,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ~ gt(loopcounter,n1)
| ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) ) )
& ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(sigma_init,X8)
| ~ leq(X8,pred(pv40)) )
& ! [X9] :
( init = a_select3(center_init,X9,n0)
| ~ leq(n0,X9)
| ~ leq(X9,n4) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
( leq(pv40,n4)
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,pred(pv40))
| ~ leq(n0,X2) )
& leq(n0,pv44)
& ( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(rhoold_init,X4) )
| ~ gt(loopcounter,n1) )
& leq(pv44,n135299)
& ? [X9] :
( leq(n0,X9)
& leq(X9,n4)
& init != a_select2(muold_init,X9) )
& leq(n0,pv40)
& gt(loopcounter,n1)
& ! [X6] :
( ~ leq(X6,n135299)
| ~ leq(n0,X6)
| ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) )
& ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(rho_init,X1)
| ~ leq(X1,n4) )
& ( ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(sigmaold_init,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) )
& ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(sigma_init,X0)
| ~ leq(X0,pred(pv40)) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(n0,X5)
| ~ leq(X5,n4) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ! [X6] :
( ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ leq(n0,X6)
| ~ leq(X6,n135299) )
& leq(n0,pv44)
& gt(loopcounter,n1)
& ( ! [X8] :
( init = a_select2(sigmaold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& leq(n0,pv40)
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv40)) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
& leq(pv44,n135299)
& leq(pv40,n4)
& ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv40)) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
~ ( ( ! [X6] :
( ( leq(n0,X6)
& leq(X6,n135299) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> init = a_select3(q_init,X6,X7) ) )
& leq(n0,pv44)
& gt(loopcounter,n1)
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> init = a_select2(sigmaold_init,X8) ) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select3(center_init,X5,n0) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(muold_init,X3) ) )
& leq(n0,pv40)
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,pred(pv40)) )
=> init = a_select2(mu_init,X2) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(rhoold_init,X4) ) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select2(rho_init,X1) )
& leq(pv44,n135299)
& leq(pv40,n4)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv40)) )
=> init = a_select2(sigma_init,X0) ) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(muold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv40,n4)
& gt(loopcounter,n1)
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> init = a_select2(sigma_init,X20) )
& leq(pv44,n135299)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv40)) )
=> init = a_select2(mu_init,X19) )
& leq(n0,pv44)
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [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) ) )
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv40,n4)
& gt(loopcounter,n1)
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> init = a_select2(sigma_init,X20) )
& leq(pv44,n135299)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv40)) )
=> init = a_select2(mu_init,X19) )
& leq(n0,pv44)
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [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) ) )
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0056) ).
fof(f455,plain,
~ leq(n0,sK18),
inference(subsumption_resolution,[],[f454,f313]) ).
fof(f313,plain,
init != a_select2(muold_init,sK18),
inference(cnf_transformation,[],[f213]) ).
fof(f454,plain,
( init = a_select2(muold_init,sK18)
| ~ leq(n0,sK18) ),
inference(resolution,[],[f452,f314]) ).
fof(f314,plain,
leq(sK18,n4),
inference(cnf_transformation,[],[f213]) ).
fof(f452,plain,
! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select2(muold_init,X7) ),
inference(subsumption_resolution,[],[f307,f311]) ).
fof(f311,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f213]) ).
fof(f307,plain,
! [X7] :
( ~ leq(n0,X7)
| init = a_select2(muold_init,X7)
| ~ leq(X7,n4)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV176+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % 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 : n018.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 19:09:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (320)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (328)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)
% 0.19/0.50 % (331)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (323)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (326)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (334)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)
% 0.19/0.51 % (336)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (319)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)
% 0.19/0.52 % (321)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (326)Instruction limit reached!
% 0.19/0.52 % (326)------------------------------
% 0.19/0.52 % (326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (326)Termination reason: Unknown
% 0.19/0.52 % (326)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (326)Memory used [KB]: 1151
% 0.19/0.52 % (326)Time elapsed: 0.006 s
% 0.19/0.52 % (326)Instructions burned: 7 (million)
% 0.19/0.52 % (326)------------------------------
% 0.19/0.52 % (326)------------------------------
% 0.19/0.53 % (341)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)
% 0.19/0.53 % (322)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (342)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (345)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)
% 0.19/0.53 % (344)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (324)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (341)First to succeed.
% 0.19/0.53 % (332)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (341)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (341)------------------------------
% 0.19/0.53 % (341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (341)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (341)Memory used [KB]: 1279
% 0.19/0.53 % (341)Time elapsed: 0.098 s
% 0.19/0.53 % (341)Instructions burned: 11 (million)
% 0.19/0.53 % (341)------------------------------
% 0.19/0.53 % (341)------------------------------
% 0.19/0.53 % (318)Success in time 0.186 s
%------------------------------------------------------------------------------