TSTP Solution File: NUM844+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM844+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 : n019.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 12:16:03 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 27 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(trivial_inequality_removal,[],[f71]) ).
fof(f71,plain,
vmul(vsucc(vd411),vsucc(vd413)) != vmul(vsucc(vd411),vsucc(vd413)),
inference(forward_demodulation,[],[f67,f70]) ).
fof(f70,plain,
vmul(vsucc(vd411),vsucc(vd413)) = vsucc(vplus(vmul(vd411,vd413),vplus(vd411,vd413))),
inference(forward_demodulation,[],[f69,f50]) ).
fof(f50,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,[],[f14]) ).
fof(f14,axiom,
! [X7,X8] : vplus(X8,X7) = vplus(X7,X8),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','ass(cond(61, 0), 0)') ).
fof(f69,plain,
vmul(vsucc(vd411),vsucc(vd413)) = vsucc(vplus(vmul(vd411,vd413),vplus(vd413,vd411))),
inference(forward_demodulation,[],[f66,f52]) ).
fof(f52,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X15,X16] :
( vplus(X15,v1) = vsucc(X15)
& vplus(X15,vsucc(X16)) = vsucc(vplus(X15,X16)) ),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f66,plain,
vmul(vsucc(vd411),vsucc(vd413)) = vplus(vmul(vd411,vd413),vsucc(vplus(vd413,vd411))),
inference(backward_demodulation,[],[f62,f52]) ).
fof(f62,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vmul(vsucc(vd411),vsucc(vd413)),
inference(forward_demodulation,[],[f61,f43]) ).
fof(f43,plain,
vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vmul(vsucc(vd411),vsucc(vd413)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vmul(vsucc(vd411),vsucc(vd413)),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','holds(266, 415, 0)') ).
fof(f61,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)),
inference(forward_demodulation,[],[f45,f42]) ).
fof(f42,plain,
vplus(vmul(vd411,vd413),vd413) = vmul(vsucc(vd411),vd413),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
vplus(vmul(vd411,vd413),vd413) = vmul(vsucc(vd411),vd413),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','holds(265, 414, 0)') ).
fof(f45,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','holds(266, 415, 2)') ).
fof(f67,plain,
vmul(vsucc(vd411),vsucc(vd413)) != vsucc(vplus(vmul(vd411,vd413),vplus(vd411,vd413))),
inference(backward_demodulation,[],[f64,f52]) ).
fof(f64,plain,
vmul(vsucc(vd411),vsucc(vd413)) != vplus(vmul(vd411,vd413),vsucc(vplus(vd411,vd413))),
inference(backward_demodulation,[],[f63,f51]) ).
fof(f51,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X10] : vplus(vsucc(X9),X10) = vsucc(vplus(X9,X10)),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','ass(cond(52, 0), 0)') ).
fof(f63,plain,
vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)) != vmul(vsucc(vd411),vsucc(vd413)),
inference(backward_demodulation,[],[f38,f62]) ).
fof(f38,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907','holds(266, 415, 3)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:05:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ay5nZV06Qg/Vampire---4.8_16907
% 0.14/0.36 % (17048)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (17051)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)
% 0.21/0.42 % (17049)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)
% 0.21/0.42 % (17056)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)
% 0.21/0.42 % (17050)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)
% 0.21/0.42 % (17052)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)
% 0.21/0.42 % (17060)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)
% 0.21/0.42 % (17052)First to succeed.
% 0.21/0.42 % (17050)Also succeeded, but the first one will report.
% 0.21/0.42 % (17052)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (17052)------------------------------
% 0.21/0.43 % (17052)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (17052)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (17052)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (17052)Memory used [KB]: 895
% 0.21/0.43 % (17052)Time elapsed: 0.006 s
% 0.21/0.43 % (17052)------------------------------
% 0.21/0.43 % (17052)------------------------------
% 0.21/0.43 % (17048)Success in time 0.063 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------