TSTP Solution File: ROB003-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 : Thu Aug 31 14:09:14 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 25 (; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,plain,
$false,
inference(trivial_inequality_removal,[],[f178]) ).
fof(f178,plain,
negate(sF0) != negate(sF0),
inference(backward_demodulation,[],[f175,f169]) ).
fof(f169,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(X0,negate(X1)))) = negate(X0),
inference(superposition,[],[f166,f3]) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/tmp/tmp.h0N4s9kJyJ/Vampire---4.8_20725',robbins_axiom) ).
fof(f166,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[],[f157,f158]) ).
fof(f158,plain,
! [X0] : add(negate(c),X0) = X0,
inference(backward_demodulation,[],[f136,f156]) ).
fof(f156,plain,
! [X2,X3] : add(X2,X3) = negate(add(negate(c),negate(add(X2,X3)))),
inference(backward_demodulation,[],[f139,f151]) ).
fof(f151,plain,
! [X0] : add(X0,negate(c)) = X0,
inference(forward_demodulation,[],[f150,f139]) ).
fof(f150,plain,
! [X0] : negate(add(negate(c),negate(add(X0,add(negate(c),negate(c)))))) = X0,
inference(forward_demodulation,[],[f149,f4]) ).
fof(f4,axiom,
! [X0] : c = add(X0,c),
file('/export/starexec/sandbox/tmp/tmp.h0N4s9kJyJ/Vampire---4.8_20725',there_exists_a_constant) ).
fof(f149,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(c)))))) = X0,
inference(forward_demodulation,[],[f148,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.h0N4s9kJyJ/Vampire---4.8_20725',commutativity_of_add) ).
fof(f148,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(c)))),negate(add(X0,c)))) = X0,
inference(superposition,[],[f3,f126]) ).
fof(f126,plain,
c = negate(add(negate(c),negate(c))),
inference(forward_demodulation,[],[f116,f24]) ).
fof(f24,plain,
! [X0] : c = add(c,X0),
inference(superposition,[],[f1,f4]) ).
fof(f116,plain,
! [X11] : c = negate(add(negate(c),negate(add(c,negate(X11))))),
inference(superposition,[],[f3,f24]) ).
fof(f139,plain,
! [X2,X3] : add(X2,X3) = negate(add(negate(c),negate(add(X2,add(X3,negate(c)))))),
inference(superposition,[],[f111,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.h0N4s9kJyJ/Vampire---4.8_20725',associativity_of_add) ).
fof(f111,plain,
! [X0] : negate(add(negate(c),negate(add(X0,negate(c))))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f136,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),X0)))) = X0,
inference(superposition,[],[f111,f1]) ).
fof(f157,plain,
! [X0] : negate(add(negate(c),negate(X0))) = X0,
inference(backward_demodulation,[],[f111,f151]) ).
fof(f175,plain,
negate(sF0) != add(negate(add(sF0,a)),negate(add(sF0,negate(a)))),
inference(forward_demodulation,[],[f174,f1]) ).
fof(f174,plain,
negate(sF0) != add(negate(add(a,sF0)),negate(add(sF0,negate(a)))),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f172,plain,
add(negate(add(a,sF0)),negate(add(negate(a),sF0))) != negate(sF0),
inference(backward_demodulation,[],[f23,f168]) ).
fof(f168,plain,
b = negate(sF0),
inference(superposition,[],[f166,f6]) ).
fof(f6,plain,
negate(b) = sF0,
introduced(function_definition,[]) ).
fof(f23,plain,
b != add(negate(add(a,sF0)),negate(add(negate(a),sF0))),
inference(forward_demodulation,[],[f13,f21]) ).
fof(f21,plain,
sF6 = add(negate(add(a,sF0)),negate(add(negate(a),sF0))),
inference(backward_demodulation,[],[f20,f7]) ).
fof(f7,plain,
add(a,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f20,plain,
sF6 = add(negate(sF1),negate(add(negate(a),sF0))),
inference(backward_demodulation,[],[f18,f8]) ).
fof(f8,plain,
negate(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f18,plain,
sF6 = add(sF2,negate(add(negate(a),sF0))),
inference(backward_demodulation,[],[f15,f9]) ).
fof(f9,plain,
negate(a) = sF3,
introduced(function_definition,[]) ).
fof(f15,plain,
sF6 = add(sF2,negate(add(sF3,sF0))),
inference(backward_demodulation,[],[f14,f10]) ).
fof(f10,plain,
add(sF3,sF0) = sF4,
introduced(function_definition,[]) ).
fof(f14,plain,
sF6 = add(sF2,negate(sF4)),
inference(backward_demodulation,[],[f12,f11]) ).
fof(f11,plain,
negate(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f12,plain,
add(sF2,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f13,plain,
b != sF6,
inference(definition_folding,[],[f5,f12,f11,f10,f6,f9,f8,f7,f6]) ).
fof(f5,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox/tmp/tmp.h0N4s9kJyJ/Vampire---4.8_20725',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n005.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 06:39:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.h0N4s9kJyJ/Vampire---4.8_20725
% 0.14/0.36 % (20918)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20924)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.21/0.42 % (20921)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (20925)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.21/0.42 % (20922)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.21/0.42 % (20920)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.21/0.42 % (20923)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.21/0.42 % (20919)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.43 % (20919)First to succeed.
% 0.21/0.43 % (20925)Also succeeded, but the first one will report.
% 0.21/0.43 % (20921)Also succeeded, but the first one will report.
% 0.21/0.43 % (20919)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (20919)------------------------------
% 0.21/0.43 % (20919)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (20919)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (20919)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (20919)Memory used [KB]: 1023
% 0.21/0.43 % (20919)Time elapsed: 0.010 s
% 0.21/0.43 % (20919)------------------------------
% 0.21/0.43 % (20919)------------------------------
% 0.21/0.43 % (20918)Success in time 0.071 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------