TSTP Solution File: COM140+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM140+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Tue Apr 30 10:47:58 EDT 2024
% Result : Theorem 6.50s 1.30s
% Output : Refutation 6.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 13 unt; 0 def)
% Number of atoms : 216 ( 77 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 233 ( 86 ~; 80 |; 41 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 219 ( 201 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9631,plain,
$false,
inference(resolution,[],[f9571,f503]) ).
fof(f503,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f502]) ).
fof(f502,plain,
! [X3,X0] :
( visFreeVar(X0,vvar(X3))
| X0 != X3 ),
inference(equality_resolution,[],[f501]) ).
fof(f501,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| vvar(X3) != X1
| X0 != X3 ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( vvar(X2) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> X2 = X3 )
& ( X2 = X3
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3,X8,X13] :
( ( vvar(X8) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> X8 = X13 )
& ( X8 = X13
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f9571,plain,
! [X0] : ~ visFreeVar(sK14,X0),
inference(superposition,[],[f583,f8874]) ).
fof(f8874,plain,
! [X0] : sK14 = vgensym(vapp(veabs,X0)),
inference(resolution,[],[f8871,f585]) ).
fof(f585,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(resolution,[],[f511,f469]) ).
fof(f469,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f325]) ).
fof(f325,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f511,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f510]) ).
fof(f510,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X2)
| X0 != X3 ),
inference(equality_resolution,[],[f433]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2)
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) ) ) )
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2)
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) ) ) )
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4] :
( ( vapp(X2,X4) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) ) )
& ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3,X11,X13,X12] :
( ( vapp(X11,X12) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) ) )
& ( ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f8871,plain,
! [X0] :
( visFreeVar(X0,veabs)
| sK14 = X0 ),
inference(resolution,[],[f8870,f577]) ).
fof(f577,plain,
vtcheck(sK16,vabs(sK14,sK18,veabs),sK19),
inference(forward_demodulation,[],[f308,f306]) ).
fof(f306,plain,
sK14 = sK17,
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ~ vtcheck(vbind(sK14,sK15,sK16),vabs(sK17,sK18,veabs),sK19)
& vtcheck(sK16,vabs(sK17,sK18,veabs),sK19)
& vnoType = vlookup(sK14,sK16)
& sK14 = sK17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19])],[f125,f231]) ).
fof(f231,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 )
=> ( ~ vtcheck(vbind(sK14,sK15,sK16),vabs(sK17,sK18,veabs),sK19)
& vtcheck(sK16,vabs(sK17,sK18,veabs),sK19)
& vnoType = vlookup(sK14,sK16)
& sK14 = sK17 ) ),
introduced(choice_axiom,[]) ).
fof(f125,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,[],[f124]) ).
fof(f124,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,[],[f64]) ).
fof(f64,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,[],[f63]) ).
fof(f63,negated_conjecture,
~ ! [X8,X9,X19,X20,X35,X14] :
( ( vtcheck(X19,vabs(X20,X35,veabs),X14)
& vnoType = vlookup(X8,X19)
& X8 = X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X35,veabs),X14) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
! [X8,X9,X19,X20,X35,X14] :
( ( vtcheck(X19,vabs(X20,X35,veabs),X14)
& vnoType = vlookup(X8,X19)
& X8 = X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X35,veabs),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-2') ).
fof(f308,plain,
vtcheck(sK16,vabs(sK17,sK18,veabs),sK19),
inference(cnf_transformation,[],[f232]) ).
fof(f8870,plain,
! [X0] :
( ~ vtcheck(sK16,vabs(sK14,sK18,veabs),sK19)
| sK14 = X0
| visFreeVar(X0,veabs) ),
inference(duplicate_literal_removal,[],[f8869]) ).
fof(f8869,plain,
! [X0] :
( visFreeVar(X0,veabs)
| sK14 = X0
| ~ vtcheck(sK16,vabs(sK14,sK18,veabs),sK19)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f8864,f392]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
=> valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X9,X8,X20,X10] :
( ~ visFreeVar(X20,X10)
=> valphaEquivalent(vabs(X8,X9,X10),vabs(X20,X9,vsubst(X8,vvar(X20),X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).
fof(f8864,plain,
! [X0,X1] :
( ~ valphaEquivalent(X1,vabs(X0,sK18,vsubst(sK14,vvar(X0),veabs)))
| visFreeVar(X0,veabs)
| sK14 = X0
| ~ vtcheck(sK16,X1,sK19) ),
inference(resolution,[],[f8862,f429]) ).
fof(f429,plain,
! [X2,X3,X0,X1] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( ( valphaEquivalent(X0,X2)
& vtcheck(X1,X0,X3) )
=> vtcheck(X1,X2,X3) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X10,X19,X11,X14] :
( ( valphaEquivalent(X10,X11)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,X11,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-typing') ).
fof(f8862,plain,
! [X0] :
( ~ vtcheck(sK16,vabs(X0,sK18,vsubst(sK14,vvar(X0),veabs)),sK19)
| sK14 = X0
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f8859,f1710]) ).
fof(f1710,plain,
! [X0] :
( ~ vtcheck(vbind(sK14,sK15,sK16),vabs(X0,sK18,vsubst(sK14,vvar(X0),veabs)),sK19)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f392,f702]) ).
fof(f702,plain,
! [X0] :
( ~ valphaEquivalent(vabs(sK14,sK18,veabs),X0)
| ~ vtcheck(vbind(sK14,sK15,sK16),X0,sK19) ),
inference(resolution,[],[f696,f324]) ).
fof(f324,plain,
! [X0,X1] :
( valphaEquivalent(X0,X1)
| ~ valphaEquivalent(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( valphaEquivalent(X0,X1)
| ~ valphaEquivalent(X1,X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( valphaEquivalent(X1,X0)
=> valphaEquivalent(X0,X1) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X12,X11] :
( valphaEquivalent(X11,X12)
=> valphaEquivalent(X12,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-sym') ).
fof(f696,plain,
! [X0] :
( ~ valphaEquivalent(X0,vabs(sK14,sK18,veabs))
| ~ vtcheck(vbind(sK14,sK15,sK16),X0,sK19) ),
inference(resolution,[],[f429,f576]) ).
fof(f576,plain,
~ vtcheck(vbind(sK14,sK15,sK16),vabs(sK14,sK18,veabs),sK19),
inference(forward_demodulation,[],[f309,f306]) ).
fof(f309,plain,
~ vtcheck(vbind(sK14,sK15,sK16),vabs(sK17,sK18,veabs),sK19),
inference(cnf_transformation,[],[f232]) ).
fof(f8859,plain,
! [X2,X3,X0,X1,X4] :
( vtcheck(vbind(sK14,X4,sK16),vabs(X0,X1,X2),X3)
| ~ vtcheck(sK16,vabs(X0,X1,X2),X3)
| sK14 = X0 ),
inference(trivial_inequality_removal,[],[f8840]) ).
fof(f8840,plain,
! [X2,X3,X0,X1,X4] :
( vnoType != vnoType
| ~ vtcheck(sK16,vabs(X0,X1,X2),X3)
| vtcheck(vbind(sK14,X4,sK16),vabs(X0,X1,X2),X3)
| sK14 = X0 ),
inference(superposition,[],[f453,f307]) ).
fof(f307,plain,
vnoType = vlookup(sK14,sK16),
inference(cnf_transformation,[],[f232]) ).
fof(f453,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,X5),X6)
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| X0 = X3 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| ~ vtcheck(X2,vabs(X3,X4,X5),X6)
| vnoType != vlookup(X0,X2)
| X0 = X3 ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| ~ vtcheck(X2,vabs(X3,X4,X5),X6)
| vnoType != vlookup(X0,X2)
| X0 = X3 ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(X2,vabs(X3,X4,X5),X6)
& vnoType = vlookup(X0,X2)
& X0 != X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X8,X9,X19,X20,X35,X11,X14] :
( ( vtcheck(X19,vabs(X20,X35,X11),X14)
& vnoType = vlookup(X8,X19)
& X8 != X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X35,X11),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-1-gen') ).
fof(f583,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
inference(resolution,[],[f509,f469]) ).
fof(f509,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f508]) ).
fof(f508,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X4)
| X0 != X3 ),
inference(equality_resolution,[],[f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM140+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 05:11:10 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (23002)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (23005)WARNING: value z3 for option sas not known
% 0.16/0.39 % (23003)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (23006)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (23005)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 % (23007)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.39 % (23008)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (23004)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (23009)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 1.11/0.53 TRYING [3]
% 5.03/1.10 TRYING [4]
% 6.50/1.30 % (23008)First to succeed.
% 6.50/1.30 % (23008)Refutation found. Thanks to Tanya!
% 6.50/1.30 % SZS status Theorem for theBenchmark
% 6.50/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 6.50/1.30 % (23008)------------------------------
% 6.50/1.30 % (23008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.50/1.30 % (23008)Termination reason: Refutation
% 6.50/1.30
% 6.50/1.30 % (23008)Memory used [KB]: 8453
% 6.50/1.30 % (23008)Time elapsed: 0.910 s
% 6.50/1.30 % (23008)Instructions burned: 3138 (million)
% 6.50/1.30 % (23008)------------------------------
% 6.50/1.30 % (23008)------------------------------
% 6.50/1.30 % (23002)Success in time 0.918 s
%------------------------------------------------------------------------------