TSTP Solution File: COM129+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM129+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 : n005.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 10:47:55 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 79 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 89 ( 37 ~; 28 |; 12 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 73 ( 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f610,plain,
$false,
inference(subsumption_resolution,[],[f609,f321]) ).
fof(f321,plain,
visFreeVar(sK16,sK17),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( visFreeVar(sK16,sK17)
& sK16 = vgensym(vapp(vapp(sK14,sK17),vvar(sK15))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f132,f245]) ).
fof(f245,plain,
( ? [X0,X1,X2,X3] :
( visFreeVar(X2,X3)
& vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2 )
=> ( visFreeVar(sK16,sK17)
& sK16 = vgensym(vapp(vapp(sK14,sK17),vvar(sK15))) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
? [X0,X1,X2,X3] :
( visFreeVar(X2,X3)
& vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2 ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
~ ! [X0,X1,X2,X3] :
( vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2
=> ~ visFreeVar(X2,X3) ),
inference(rectify,[],[f67]) ).
fof(f67,negated_conjecture,
~ ! [X10,X8,X23,X11] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> ~ visFreeVar(X23,X11) ),
inference(negated_conjecture,[],[f66]) ).
fof(f66,conjecture,
! [X10,X8,X23,X11] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> ~ visFreeVar(X23,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-free-2') ).
fof(f609,plain,
~ visFreeVar(sK16,sK17),
inference(resolution,[],[f607,f526]) ).
fof(f526,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f525]) ).
fof(f525,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X4)
| X0 != X3 ),
inference(equality_resolution,[],[f449]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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,[],[f183]) ).
fof(f183,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,[],[f110]) ).
fof(f110,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(f607,plain,
~ visFreeVar(sK16,vapp(sK14,sK17)),
inference(resolution,[],[f528,f596]) ).
fof(f596,plain,
~ visFreeVar(sK16,vapp(vapp(sK14,sK17),vvar(sK15))),
inference(superposition,[],[f485,f320]) ).
fof(f320,plain,
sK16 = vgensym(vapp(vapp(sK14,sK17),vvar(sK15))),
inference(cnf_transformation,[],[f246]) ).
fof(f485,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f337]) ).
fof(f337,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,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(f528,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f527]) ).
fof(f527,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X2)
| X0 != X3 ),
inference(equality_resolution,[],[f448]) ).
fof(f448,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM129+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:03:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28575)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28578)WARNING: value z3 for option sas not known
% 0.15/0.38 % (28579)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (28577)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (28578)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)
% 0.15/0.38 % (28576)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (28581)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)
% 0.15/0.38 % (28580)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)
% 0.15/0.38 % (28582)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)
% 0.21/0.39 % (28578)First to succeed.
% 0.21/0.39 % (28581)Also succeeded, but the first one will report.
% 0.21/0.39 % (28578)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (28578)------------------------------
% 0.21/0.39 % (28578)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (28578)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (28578)Memory used [KB]: 1205
% 0.21/0.39 % (28578)Time elapsed: 0.013 s
% 0.21/0.39 % (28578)Instructions burned: 18 (million)
% 0.21/0.39 % (28578)------------------------------
% 0.21/0.39 % (28578)------------------------------
% 0.21/0.39 % (28575)Success in time 0.032 s
%------------------------------------------------------------------------------