TSTP Solution File: COM141+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : COM141+1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n001.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 : Mon Jun 24 04:58:32 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 89 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 36 ~; 29 |; 21 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 115 ( 97 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(subsumption_resolution,[],[f167,f166]) ).
fof(f166,plain,
vtcheck(sK2,vabs(sK0,sK4,veabs),sK5),
inference(backward_demodulation,[],[f98,f164]) ).
fof(f164,plain,
sK0 = sK3,
inference(subsumption_resolution,[],[f163,f98]) ).
fof(f163,plain,
( ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
| sK0 = sK3 ),
inference(resolution,[],[f162,f99]) ).
fof(f99,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
& vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
& vnoType = vlookup(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f75,f95]) ).
fof(f95,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& vnoType = vlookup(X0,X2) )
=> ( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
& vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
& vnoType = vlookup(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& vnoType = vlookup(X0,X2) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& vnoType = vlookup(X0,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vnoType = vlookup(X0,X2) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(sK0,X3,sK2),vabs(X0,X1,veabs),X2)
| ~ vtcheck(sK2,vabs(X0,X1,veabs),X2)
| sK0 = X0 ),
inference(trivial_inequality_removal,[],[f159]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( vnoType != vnoType
| ~ vtcheck(sK2,vabs(X0,X1,veabs),X2)
| vtcheck(vbind(sK0,X3,sK2),vabs(X0,X1,veabs),X2)
| sK0 = X0 ),
inference(superposition,[],[f118,f97]) ).
fof(f97,plain,
vnoType = vlookup(sK0,sK2),
inference(cnf_transformation,[],[f96]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4,X5] :
( vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 = X3 ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 = X3 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vnoType = vlookup(X0,X2)
& X0 != X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& vnoType = vlookup(X8,X19)
& X8 != X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f98,plain,
vtcheck(sK2,vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f96]) ).
fof(f167,plain,
~ vtcheck(sK2,vabs(sK0,sK4,veabs),sK5),
inference(resolution,[],[f165,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( vtcheck(vbind(sK0,X2,sK2),vabs(sK0,X0,veabs),X1)
| ~ vtcheck(sK2,vabs(sK0,X0,veabs),X1) ),
inference(trivial_inequality_removal,[],[f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( vnoType != vnoType
| ~ vtcheck(sK2,vabs(sK0,X0,veabs),X1)
| vtcheck(vbind(sK0,X2,sK2),vabs(sK0,X0,veabs),X1) ),
inference(superposition,[],[f134,f97]) ).
fof(f134,plain,
! [X2,X3,X1,X4,X5] :
( vnoType != vlookup(X3,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 != X3 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 != X3 ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 != X3 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vnoType = vlookup(X0,X2)
& X0 = X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& vnoType = vlookup(X8,X19)
& X8 = X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f165,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK0,sK4,veabs),sK5),
inference(backward_demodulation,[],[f99,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM141+1 : TPTP v8.2.0. Released v6.4.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 20 23:23:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.40 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (20654)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.42 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (20658)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.20/0.43 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20652)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.43 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20656)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.43 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20655)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.43 % (20658)First to succeed.
% 0.20/0.43 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20657)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.43 % (20658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20651"
% 0.20/0.43 % (20651)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20658)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (20658)------------------------------
% 0.20/0.43 % (20658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (20658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (20658)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (20658)Memory used [KB]: 1257
% 0.20/0.43 % (20658)Time elapsed: 0.007 s
% 0.20/0.43 % (20658)Instructions burned: 10 (million)
% 0.20/0.43 % (20658)------------------------------
% 0.20/0.43 % (20658)------------------------------
% 0.20/0.43 % (20651)Success in time 0.053 s
%------------------------------------------------------------------------------