TSTP Solution File: SWV184+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV184+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 : n023.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 1.43s 0.55s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 210 ( 55 equ)
% Maximal formula atoms : 27 ( 12 avg)
% Number of connectives : 277 ( 84 ~; 74 |; 82 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 58 ( 54 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466,plain,
$false,
inference(subsumption_resolution,[],[f465,f343]) ).
fof(f343,plain,
leq(sK11,n4),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( gt(loopcounter,n1)
& ( ! [X0] :
( init = a_select2(muold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& leq(sK11,n4)
& leq(n0,sK11)
& init != a_select2(sigmaold_init,sK11)
& ( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(rhoold_init,X4) )
| ~ gt(loopcounter,n1) )
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n135299)
| ! [X6] :
( ~ leq(n0,X6)
| init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4) ) )
& ( ~ gt(loopcounter,n1)
| ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select2(sigmaold_init,X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f215,f216]) ).
fof(f216,plain,
( ? [X3] :
( leq(X3,n4)
& leq(n0,X3)
& init != a_select2(sigmaold_init,X3) )
=> ( leq(sK11,n4)
& leq(n0,sK11)
& init != a_select2(sigmaold_init,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( gt(loopcounter,n1)
& ( ! [X0] :
( init = a_select2(muold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ? [X3] :
( leq(X3,n4)
& leq(n0,X3)
& init != a_select2(sigmaold_init,X3) )
& ( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(rhoold_init,X4) )
| ~ gt(loopcounter,n1) )
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n135299)
| ! [X6] :
( ~ leq(n0,X6)
| init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4) ) )
& ( ~ gt(loopcounter,n1)
| ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select2(sigmaold_init,X7) ) ) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( gt(loopcounter,n1)
& ( ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ? [X7] :
( leq(X7,n4)
& leq(n0,X7)
& init != a_select2(sigmaold_init,X7) )
& ( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(rhoold_init,X0) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n135299)
| ! [X5] :
( ~ leq(n0,X5)
| init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4) ) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(X3,n4)
| ~ leq(n0,X3)
| init = a_select2(sigmaold_init,X3) ) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
( ? [X7] :
( init != a_select2(sigmaold_init,X7)
& leq(n0,X7)
& leq(X7,n4) )
& ( ! [X0] :
( init = a_select2(rhoold_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(loopcounter,n1)
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select2(rhoold_init,X0) ) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select3(q_init,X4,X5) ) )
& gt(loopcounter,n1)
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(center_init,X2,n0) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(sigmaold_init,X3) ) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(muold_init,X1) ) ) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> init = a_select2(sigmaold_init,X7) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(rhoold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(muold_init,X20) ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select3(center_init,X19,n0) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& gt(loopcounter,n1) )
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(sigmaold_init,X28) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(rhoold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(muold_init,X20) ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select3(center_init,X19,n0) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& gt(loopcounter,n1) )
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(sigmaold_init,X28) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0096) ).
fof(f465,plain,
~ leq(sK11,n4),
inference(subsumption_resolution,[],[f464,f341]) ).
fof(f341,plain,
init != a_select2(sigmaold_init,sK11),
inference(cnf_transformation,[],[f217]) ).
fof(f464,plain,
( init = a_select2(sigmaold_init,sK11)
| ~ leq(sK11,n4) ),
inference(resolution,[],[f459,f342]) ).
fof(f342,plain,
leq(n0,sK11),
inference(cnf_transformation,[],[f217]) ).
fof(f459,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(sigmaold_init,X0) ),
inference(resolution,[],[f338,f347]) ).
fof(f347,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f217]) ).
fof(f338,plain,
! [X7] :
( ~ gt(loopcounter,n1)
| init = a_select2(sigmaold_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV184+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % 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 : n023.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 19:26:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.51 % (26250)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.52 % (26264)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.25/0.52 % (26261)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)
% 1.25/0.52 % (26248)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)
% 1.25/0.52 % (26273)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.25/0.52 % (26271)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.25/0.53 % (26249)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)
% 1.25/0.53 % (26246)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)
% 1.25/0.53 % (26255)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)
% 1.43/0.53 % (26268)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)
% 1.43/0.53 % (26251)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)
% 1.43/0.53 % (26256)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.43/0.53 % (26260)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)
% 1.43/0.53 % (26247)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)
% 1.43/0.54 % (26257)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.54 % (26263)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.43/0.54 % (26262)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.54 % (26275)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)
% 1.43/0.54 % (26269)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)
% 1.43/0.54 % (26252)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)
% 1.43/0.54 % (26265)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.54 % (26266)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.43/0.54 % (26254)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.54 % (26254)Instruction limit reached!
% 1.43/0.54 % (26254)------------------------------
% 1.43/0.54 % (26254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (26254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (26254)Termination reason: Unknown
% 1.43/0.54 % (26254)Termination phase: shuffling
% 1.43/0.54
% 1.43/0.54 % (26254)Memory used [KB]: 1023
% 1.43/0.54 % (26254)Time elapsed: 0.003 s
% 1.43/0.54 % (26254)Instructions burned: 2 (million)
% 1.43/0.54 % (26254)------------------------------
% 1.43/0.54 % (26254)------------------------------
% 1.43/0.55 % (26272)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)
% 1.43/0.55 % (26267)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.43/0.55 % (26253)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.55 % (26248)First to succeed.
% 1.43/0.55 % (26248)Refutation found. Thanks to Tanya!
% 1.43/0.55 % SZS status Theorem for theBenchmark
% 1.43/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.55 % (26248)------------------------------
% 1.43/0.55 % (26248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (26248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (26248)Termination reason: Refutation
% 1.43/0.55
% 1.43/0.55 % (26248)Memory used [KB]: 1279
% 1.43/0.55 % (26248)Time elapsed: 0.140 s
% 1.43/0.55 % (26248)Instructions burned: 18 (million)
% 1.43/0.55 % (26248)------------------------------
% 1.43/0.55 % (26248)------------------------------
% 1.43/0.55 % (26245)Success in time 0.197 s
%------------------------------------------------------------------------------