TSTP Solution File: SWV183+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n006.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 18:55:45 EDT 2022
% Result : Theorem 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 310 ( 89 equ)
% Maximal formula atoms : 42 ( 20 avg)
% Number of connectives : 416 ( 121 ~; 111 |; 132 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 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(f452,plain,
$false,
inference(subsumption_resolution,[],[f451,f261]) ).
fof(f261,plain,
leq(sK5,n4),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n1) )
& ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3) )
& gt(loopcounter,n0)
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ leq(X4,n135299) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ! [X7] :
( ~ leq(X7,n4)
| init = a_select2(muold_init,X7)
| ~ leq(n0,X7) )
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,n4)
| init = a_select2(sigma_init,X8) )
& ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9) )
& ( ~ gt(loopcounter,n1)
| ! [X10] :
( ~ leq(n0,X10)
| init = a_select2(rhoold_init,X10)
| ~ leq(X10,n4) ) )
& ( ~ gt(loopcounter,n1)
| ! [X11] :
( init = a_select2(muold_init,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) ) )
& init != a_select2(mu_init,sK5)
& leq(sK5,n4)
& leq(n0,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f189,f190]) ).
fof(f190,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) )
=> ( init != a_select2(mu_init,sK5)
& leq(sK5,n4)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n1) )
& ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3) )
& gt(loopcounter,n0)
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ leq(X4,n135299) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ! [X7] :
( ~ leq(X7,n4)
| init = a_select2(muold_init,X7)
| ~ leq(n0,X7) )
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,n4)
| init = a_select2(sigma_init,X8) )
& ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9) )
& ( ~ gt(loopcounter,n1)
| ! [X10] :
( ~ leq(n0,X10)
| init = a_select2(rhoold_init,X10)
| ~ leq(X10,n4) ) )
& ( ~ gt(loopcounter,n1)
| ! [X11] :
( init = a_select2(muold_init,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) ) )
& ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) ) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
( ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ( ! [X5] :
( init = a_select2(sigmaold_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X10] :
( ~ leq(n0,X10)
| ~ leq(X10,n4)
| init = a_select2(rhoold_init,X10) )
& gt(loopcounter,n0)
& ! [X6] :
( ~ leq(n0,X6)
| ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ leq(X6,n135299) )
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X1] :
( ~ leq(X1,n4)
| init = a_select2(muold_init,X1)
| ~ leq(n0,X1) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(sigma_init,X4) )
& ! [X11] :
( ~ leq(X11,n4)
| ~ leq(n0,X11)
| init = a_select2(sigmaold_init,X11) )
& ( ~ gt(loopcounter,n1)
| ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(rhoold_init,X8)
| ~ leq(X8,n4) ) )
& ( ~ gt(loopcounter,n1)
| ! [X0] :
( init = a_select2(muold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) )
& ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) ) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X10] :
( init = a_select2(rhoold_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) )
& ( ! [X0] :
( init = a_select2(muold_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ! [X11] :
( init = a_select2(sigmaold_init,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
& gt(loopcounter,n0)
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X6] :
( ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ leq(X6,n135299)
| ~ leq(n0,X6) )
& ( ! [X5] :
( init = a_select2(sigmaold_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
~ ( ( ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> init = a_select2(rho_init,X9) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(mu_init,X3) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select2(muold_init,X0) ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> init = a_select2(rhoold_init,X8) ) )
& ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> init = a_select2(sigmaold_init,X11) )
& gt(loopcounter,n0)
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(center_init,X2,n0) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(muold_init,X1) )
& ! [X6] :
( ( leq(X6,n135299)
& leq(n0,X6) )
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select3(q_init,X6,X7) ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select2(sigmaold_init,X5) ) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) ) )
=> ! [X12] :
( ( leq(X12,n4)
& leq(n0,X12) )
=> init = a_select2(mu_init,X12) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(muold_init,X10) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [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)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> init = a_select2(rhoold_init,X28) ) )
& gt(loopcounter,n0)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select2(sigmaold_init,X5) ) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> init = a_select2(mu_init,X18) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(muold_init,X10) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [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)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> init = a_select2(rhoold_init,X28) ) )
& gt(loopcounter,n0)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select2(sigmaold_init,X5) ) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> init = a_select2(mu_init,X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0091) ).
fof(f451,plain,
~ leq(sK5,n4),
inference(subsumption_resolution,[],[f450,f262]) ).
fof(f262,plain,
init != a_select2(mu_init,sK5),
inference(cnf_transformation,[],[f191]) ).
fof(f450,plain,
( init = a_select2(mu_init,sK5)
| ~ leq(sK5,n4) ),
inference(resolution,[],[f268,f260]) ).
fof(f260,plain,
leq(n0,sK5),
inference(cnf_transformation,[],[f191]) ).
fof(f268,plain,
! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(mu_init,X6) ),
inference(cnf_transformation,[],[f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 19:04:39 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.14/0.43 % (15690)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)
% 0.14/0.45 % (15706)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)
% 0.14/0.45 % (15707)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)
% 0.14/0.45 % (15706)First to succeed.
% 0.14/0.46 % (15699)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)
% 0.14/0.46 % (15698)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)
% 0.14/0.47 % (15688)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.47 % (15691)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.47 TRYING [1]
% 0.14/0.47 % (15693)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)
% 0.14/0.48 % (15706)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Theorem for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (15706)------------------------------
% 0.14/0.48 % (15706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (15706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (15706)Termination reason: Refutation
% 0.14/0.48
% 0.14/0.48 % (15706)Memory used [KB]: 1279
% 0.14/0.48 % (15706)Time elapsed: 0.102 s
% 0.14/0.48 % (15706)Instructions burned: 12 (million)
% 0.14/0.48 % (15706)------------------------------
% 0.14/0.48 % (15706)------------------------------
% 0.14/0.48 % (15683)Success in time 0.173 s
%------------------------------------------------------------------------------