TSTP Solution File: COM141+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 15:53:24 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 103 ( 41 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 44 ~; 37 |; 23 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 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 : 139 ( 115 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f158,f100]) ).
fof(f100,plain,
vtcheck(sK2,vabs(sK0,sK4,veabs),sK3),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( vnoType = vlookup(sK5,sK2)
& vtcheck(sK2,vabs(sK0,sK4,veabs),sK3)
& ~ vtcheck(vbind(sK5,sK1,sK2),vabs(sK0,sK4,veabs),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f88,f89]) ).
fof(f89,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( vnoType = vlookup(X5,X2)
& vtcheck(X2,vabs(X0,X4,veabs),X3)
& ~ vtcheck(vbind(X5,X1,X2),vabs(X0,X4,veabs),X3) )
=> ( vnoType = vlookup(sK5,sK2)
& vtcheck(sK2,vabs(sK0,sK4,veabs),sK3)
& ~ vtcheck(vbind(sK5,sK1,sK2),vabs(sK0,sK4,veabs),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0,X1,X2,X3,X4,X5] :
( vnoType = vlookup(X5,X2)
& vtcheck(X2,vabs(X0,X4,veabs),X3)
& ~ vtcheck(vbind(X5,X1,X2),vabs(X0,X4,veabs),X3) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
? [X5,X4,X0,X3,X2,X1] :
( vnoType = vlookup(X1,X0)
& vtcheck(X0,vabs(X5,X2,veabs),X3)
& ~ vtcheck(vbind(X1,X4,X0),vabs(X5,X2,veabs),X3) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X2,X1,X0,X3,X4,X5] :
( ~ vtcheck(vbind(X1,X4,X0),vabs(X5,X2,veabs),X3)
& vtcheck(X0,vabs(X5,X2,veabs),X3)
& vnoType = vlookup(X1,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
~ ! [X2,X1,X0,X3,X4,X5] :
( ( vtcheck(X0,vabs(X5,X2,veabs),X3)
& vnoType = vlookup(X1,X0) )
=> vtcheck(vbind(X1,X4,X0),vabs(X5,X2,veabs),X3) ),
inference(rectify,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X19,X8,X34,X14,X9,X20] :
( ( vnoType = vlookup(X8,X19)
& vtcheck(X19,vabs(X20,X34,veabs),X14) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X19,X8,X34,X14,X9,X20] :
( ( vnoType = vlookup(X8,X19)
& vtcheck(X19,vabs(X20,X34,veabs),X14) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs') ).
fof(f158,plain,
~ vtcheck(sK2,vabs(sK0,sK4,veabs),sK3),
inference(resolution,[],[f151,f145]) ).
fof(f145,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK0,sK4,veabs),sK3),
inference(backward_demodulation,[],[f99,f144]) ).
fof(f144,plain,
sK5 = sK0,
inference(subsumption_resolution,[],[f143,f100]) ).
fof(f143,plain,
( sK5 = sK0
| ~ vtcheck(sK2,vabs(sK0,sK4,veabs),sK3) ),
inference(resolution,[],[f142,f99]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(sK5,X0,sK2),vabs(X1,X2,veabs),X3)
| ~ vtcheck(sK2,vabs(X1,X2,veabs),X3)
| sK5 = X1 ),
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( sK5 = X1
| vnoType != vnoType
| ~ vtcheck(sK2,vabs(X1,X2,veabs),X3)
| vtcheck(vbind(sK5,X0,sK2),vabs(X1,X2,veabs),X3) ),
inference(superposition,[],[f111,f101]) ).
fof(f101,plain,
vnoType = vlookup(sK5,sK2),
inference(cnf_transformation,[],[f90]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] :
( vnoType != vlookup(X5,X3)
| vtcheck(vbind(X5,X0,X3),vabs(X1,X4,veabs),X2)
| ~ vtcheck(X3,vabs(X1,X4,veabs),X2)
| X1 = X5 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5] :
( X1 = X5
| vnoType != vlookup(X5,X3)
| ~ vtcheck(X3,vabs(X1,X4,veabs),X2)
| vtcheck(vbind(X5,X0,X3),vabs(X1,X4,veabs),X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2,X4,X3,X5] :
( X1 = X5
| vnoType != vlookup(X5,X4)
| ~ vtcheck(X4,vabs(X1,X3,veabs),X2)
| vtcheck(vbind(X5,X0,X4),vabs(X1,X3,veabs),X2) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X3,X2,X0,X1,X5,X4] :
( vtcheck(vbind(X5,X0,X4),vabs(X1,X3,veabs),X2)
| X1 = X5
| ~ vtcheck(X4,vabs(X1,X3,veabs),X2)
| vnoType != vlookup(X5,X4) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X3,X2,X0,X1,X5,X4] :
( ( X1 != X5
& vtcheck(X4,vabs(X1,X3,veabs),X2)
& vnoType = vlookup(X5,X4) )
=> vtcheck(vbind(X5,X0,X4),vabs(X1,X3,veabs),X2) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X9,X20,X14,X34,X19,X8] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& X8 != X20
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-1') ).
fof(f99,plain,
~ vtcheck(vbind(sK5,sK1,sK2),vabs(sK0,sK4,veabs),sK3),
inference(cnf_transformation,[],[f90]) ).
fof(f151,plain,
! [X2,X0,X1] :
( vtcheck(vbind(sK0,X2,sK2),vabs(sK0,X0,veabs),X1)
| ~ vtcheck(sK2,vabs(sK0,X0,veabs),X1) ),
inference(forward_demodulation,[],[f148,f144]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ vtcheck(sK2,vabs(sK0,X0,veabs),X1)
| vtcheck(vbind(sK5,X2,sK2),vabs(sK5,X0,veabs),X1) ),
inference(backward_demodulation,[],[f139,f144]) ).
fof(f139,plain,
! [X2,X0,X1] :
( vtcheck(vbind(sK5,X2,sK2),vabs(sK5,X0,veabs),X1)
| ~ vtcheck(sK2,vabs(sK5,X0,veabs),X1) ),
inference(trivial_inequality_removal,[],[f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( vnoType != vnoType
| ~ vtcheck(sK2,vabs(sK5,X0,veabs),X1)
| vtcheck(vbind(sK5,X2,sK2),vabs(sK5,X0,veabs),X1) ),
inference(superposition,[],[f123,f101]) ).
fof(f123,plain,
! [X2,X3,X1,X4,X5] :
( vnoType != vlookup(X1,X2)
| ~ vtcheck(X2,vabs(X1,X5,veabs),X4)
| vtcheck(vbind(X1,X3,X2),vabs(X1,X5,veabs),X4) ),
inference(equality_resolution,[],[f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X1,X5,veabs),X4)
| vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X3,X2),vabs(X1,X5,veabs),X4)
| X0 != X1 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X1,X5,veabs),X4)
| vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X3,X2),vabs(X1,X5,veabs),X4)
| X0 != X1 ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X3,X0,X5,X2,X4,X1] :
( ~ vtcheck(X5,vabs(X0,X1,veabs),X4)
| vnoType != vlookup(X3,X5)
| vtcheck(vbind(X3,X2,X5),vabs(X0,X1,veabs),X4)
| X0 != X3 ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X4,X0,X2,X3,X1,X5] :
( vtcheck(vbind(X3,X2,X5),vabs(X0,X1,veabs),X4)
| X0 != X3
| ~ vtcheck(X5,vabs(X0,X1,veabs),X4)
| vnoType != vlookup(X3,X5) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X4,X0,X2,X3,X1,X5] :
( ( X0 = X3
& vtcheck(X5,vabs(X0,X1,veabs),X4)
& vnoType = vlookup(X3,X5) )
=> vtcheck(vbind(X3,X2,X5),vabs(X0,X1,veabs),X4) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X20,X34,X9,X8,X14,X19] :
( ( 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','T-Weak-abs-2') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.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 : Mon Aug 29 17:38:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (26061)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (26075)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (26058)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (26067)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (26052)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (26053)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (26058)First to succeed.
% 0.19/0.52 % (26057)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (26074)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (26080)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (26081)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (26058)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 % (26058)------------------------------
% 0.19/0.53 % (26058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26058)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (26058)Memory used [KB]: 6012
% 0.19/0.53 % (26058)Time elapsed: 0.110 s
% 0.19/0.53 % (26058)Instructions burned: 5 (million)
% 0.19/0.53 % (26058)------------------------------
% 0.19/0.53 % (26058)------------------------------
% 0.19/0.53 % (26051)Success in time 0.179 s
%------------------------------------------------------------------------------