TSTP Solution File: NUM845+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n020.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 : Thu Aug 31 12:16:04 EDT 2023
% Result : Theorem 0.17s 0.43s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 26 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 0 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 (; 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f382,plain,
$false,
inference(subsumption_resolution,[],[f381,f139]) ).
fof(f139,plain,
vmul(vsucc(vd411),vsucc(sK0)) != vplus(sK0,vsucc(vmul(vd411,vsucc(sK0)))),
inference(backward_demodulation,[],[f67,f112]) ).
fof(f112,plain,
! [X6,X5] : vplus(vsucc(X6),X5) = vplus(X6,vsucc(X5)),
inference(superposition,[],[f98,f53]) ).
fof(f53,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox2/tmp/tmp.KxO68CkfTf/Vampire---4.8_13679','ass(cond(61, 0), 0)') ).
fof(f98,plain,
! [X2,X3] : vplus(X2,vsucc(X3)) = vplus(X3,vsucc(X2)),
inference(forward_demodulation,[],[f95,f54]) ).
fof(f54,plain,
! [X0,X1] : vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X10,X11] :
( vplus(X10,v1) = vsucc(X10)
& vplus(X10,vsucc(X11)) = vsucc(vplus(X10,X11)) ),
file('/export/starexec/sandbox2/tmp/tmp.KxO68CkfTf/Vampire---4.8_13679','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f95,plain,
! [X2,X3] : vplus(X2,vsucc(X3)) = vsucc(vplus(X3,X2)),
inference(superposition,[],[f54,f53]) ).
fof(f67,plain,
vmul(vsucc(vd411),vsucc(sK0)) != vplus(vsucc(sK0),vmul(vd411,vsucc(sK0))),
inference(backward_demodulation,[],[f42,f53]) ).
fof(f42,plain,
vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0))
& vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f39]) ).
fof(f39,plain,
( ? [X0] :
( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
& vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) )
=> ( vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0))
& vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] :
( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
& vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.KxO68CkfTf/Vampire---4.8_13679','qu(ind(267), imp(267))') ).
fof(f381,plain,
vmul(vsucc(vd411),vsucc(sK0)) = vplus(sK0,vsucc(vmul(vd411,vsucc(sK0)))),
inference(forward_demodulation,[],[f380,f171]) ).
fof(f171,plain,
! [X6,X7] : vplus(X6,vsucc(vmul(vsucc(X6),X7))) = vmul(vsucc(X6),vsucc(X7)),
inference(superposition,[],[f82,f112]) ).
fof(f82,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(X0,vmul(X0,X1)),
inference(forward_demodulation,[],[f56,f53]) ).
fof(f56,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X3] :
( vmul(X2,v1) = X2
& vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.KxO68CkfTf/Vampire---4.8_13679','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f380,plain,
vplus(sK0,vsucc(vmul(vd411,vsucc(sK0)))) = vplus(vd411,vsucc(vmul(vsucc(vd411),sK0))),
inference(forward_demodulation,[],[f378,f54]) ).
fof(f378,plain,
vplus(sK0,vsucc(vmul(vd411,vsucc(sK0)))) = vsucc(vplus(vd411,vmul(vsucc(vd411),sK0))),
inference(superposition,[],[f54,f369]) ).
fof(f369,plain,
vplus(sK0,vmul(vd411,vsucc(sK0))) = vplus(vd411,vmul(vsucc(vd411),sK0)),
inference(forward_demodulation,[],[f359,f53]) ).
fof(f359,plain,
vplus(vmul(vsucc(vd411),sK0),vd411) = vplus(sK0,vmul(vd411,vsucc(sK0))),
inference(superposition,[],[f333,f82]) ).
fof(f333,plain,
! [X0] : vplus(vmul(vsucc(vd411),sK0),X0) = vplus(sK0,vplus(X0,vmul(vd411,sK0))),
inference(superposition,[],[f256,f53]) ).
fof(f256,plain,
! [X34] : vplus(sK0,vplus(vmul(vd411,sK0),X34)) = vplus(vmul(vsucc(vd411),sK0),X34),
inference(superposition,[],[f58,f69]) ).
fof(f69,plain,
vmul(vsucc(vd411),sK0) = vplus(sK0,vmul(vd411,sK0)),
inference(backward_demodulation,[],[f41,f53]) ).
fof(f41,plain,
vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X7,X8,X9] : vplus(vplus(X7,X8),X9) = vplus(X7,vplus(X8,X9)),
file('/export/starexec/sandbox2/tmp/tmp.KxO68CkfTf/Vampire---4.8_13679','ass(cond(33, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n020.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Aug 25 14:40:45 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.12/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.KxO68CkfTf/Vampire---4.8_13679
% 0.12/0.36 % (13801)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41 % (13802)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.17/0.41 % (13803)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.17/0.42 % (13806)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.17/0.42 % (13804)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.17/0.42 % (13805)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.17/0.42 % (13807)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.17/0.42 % (13808)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.17/0.42 % (13803)First to succeed.
% 0.17/0.43 % (13803)Refutation found. Thanks to Tanya!
% 0.17/0.43 % SZS status Theorem for Vampire---4
% 0.17/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.43 % (13803)------------------------------
% 0.17/0.43 % (13803)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.43 % (13803)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.43 % (13803)Termination reason: Refutation
% 0.17/0.43
% 0.17/0.43 % (13803)Memory used [KB]: 10234
% 0.17/0.43 % (13803)Time elapsed: 0.014 s
% 0.17/0.43 % (13803)------------------------------
% 0.17/0.43 % (13803)------------------------------
% 0.17/0.43 % (13801)Success in time 0.064 s
% 0.17/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------