TSTP Solution File: ROB005-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ROB005-1 : 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 : n012.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 13.01s 2.33s
% Output : Refutation 13.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 76 unt; 0 def)
% Number of atoms : 76 ( 75 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 : 11 ( 3 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 : 56 (; 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24855,plain,
$false,
inference(trivial_inequality_removal,[],[f24854]) ).
fof(f24854,plain,
negate(sF0) != negate(sF0),
inference(backward_demodulation,[],[f24450,f23975]) ).
fof(f23975,plain,
! [X73,X74] : negate(X73) = add(negate(add(X73,X74)),negate(add(X73,negate(X74)))),
inference(superposition,[],[f20618,f3]) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/tmp/tmp.27mxAjfQtu/Vampire---4.8_19598',robbins_axiom) ).
fof(f20618,plain,
! [X25] : negate(negate(X25)) = X25,
inference(superposition,[],[f19126,f523]) ).
fof(f523,plain,
! [X0,X1] : negate(add(negate(add(X1,negate(X0))),negate(add(X0,X1)))) = X1,
inference(superposition,[],[f52,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.27mxAjfQtu/Vampire---4.8_19598',commutativity_of_add) ).
fof(f52,plain,
! [X2,X3] : negate(add(negate(add(X3,X2)),negate(add(X2,negate(X3))))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f19126,plain,
! [X25] : negate(X25) = negate(negate(negate(X25))),
inference(backward_demodulation,[],[f14785,f19125]) ).
fof(f19125,plain,
! [X8] : negate(negate(X8)) = negate(negate(add(X8,negate(negate(X8))))),
inference(forward_demodulation,[],[f19124,f13236]) ).
fof(f13236,plain,
! [X104] : add(negate(add(c,negate(c))),X104) = X104,
inference(forward_demodulation,[],[f13235,f1463]) ).
fof(f1463,plain,
! [X25] : negate(add(negate(add(c,X25)),negate(add(negate(c),add(negate(add(c,negate(c))),X25))))) = X25,
inference(forward_demodulation,[],[f1462,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.27mxAjfQtu/Vampire---4.8_19598',associativity_of_add) ).
fof(f1462,plain,
! [X25] : negate(add(negate(add(c,X25)),negate(add(add(negate(c),negate(add(c,negate(c)))),X25)))) = X25,
inference(forward_demodulation,[],[f1382,f1]) ).
fof(f1382,plain,
! [X25] : negate(add(negate(add(add(negate(c),negate(add(c,negate(c)))),X25)),negate(add(c,X25)))) = X25,
inference(superposition,[],[f516,f49]) ).
fof(f49,plain,
c = negate(add(negate(c),negate(add(c,negate(c))))),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
c = add(c,c),
file('/export/starexec/sandbox2/tmp/tmp.27mxAjfQtu/Vampire---4.8_19598',idempotence) ).
fof(f516,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f52,f1]) ).
fof(f13235,plain,
! [X104] : add(negate(add(c,negate(c))),X104) = negate(add(negate(add(c,X104)),negate(add(negate(c),add(negate(add(c,negate(c))),X104))))),
inference(forward_demodulation,[],[f13048,f1]) ).
fof(f13048,plain,
! [X104] : add(negate(add(c,negate(c))),X104) = negate(add(negate(add(c,X104)),negate(add(add(negate(add(c,negate(c))),X104),negate(c))))),
inference(superposition,[],[f52,f12697]) ).
fof(f12697,plain,
! [X6] : add(c,X6) = add(c,add(negate(add(c,negate(c))),X6)),
inference(superposition,[],[f2,f12600]) ).
fof(f12600,plain,
c = add(c,negate(add(c,negate(c)))),
inference(forward_demodulation,[],[f12542,f6423]) ).
fof(f6423,plain,
add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))),
inference(forward_demodulation,[],[f6422,f32]) ).
fof(f32,plain,
! [X2,X3,X1] : add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
inference(forward_demodulation,[],[f25,f2]) ).
fof(f25,plain,
! [X2,X3,X1] : add(X1,add(X2,X3)) = add(add(X2,X1),X3),
inference(superposition,[],[f2,f1]) ).
fof(f6422,plain,
add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(negate(c),add(c,negate(add(c,negate(c)))))))),
inference(forward_demodulation,[],[f6327,f28]) ).
fof(f28,plain,
! [X3,X4,X5] : add(X5,add(X3,X4)) = add(X3,add(X4,X5)),
inference(superposition,[],[f2,f1]) ).
fof(f6327,plain,
add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))),
inference(superposition,[],[f528,f2040]) ).
fof(f2040,plain,
negate(c) = negate(add(c,negate(add(c,negate(c))))),
inference(backward_demodulation,[],[f73,f2037]) ).
fof(f2037,plain,
negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
inference(forward_demodulation,[],[f2036,f1]) ).
fof(f2036,plain,
negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),c)),
inference(backward_demodulation,[],[f1055,f2035]) ).
fof(f2035,plain,
c = negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))),
inference(forward_demodulation,[],[f2034,f24]) ).
fof(f24,plain,
! [X0] : add(c,X0) = add(c,add(c,X0)),
inference(superposition,[],[f2,f4]) ).
fof(f2034,plain,
c = negate(add(negate(c),negate(add(c,add(c,add(negate(c),negate(c))))))),
inference(forward_demodulation,[],[f2009,f1]) ).
fof(f2009,plain,
c = negate(add(negate(c),negate(add(add(c,add(negate(c),negate(c))),c)))),
inference(superposition,[],[f523,f73]) ).
fof(f1055,plain,
negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))),
inference(forward_demodulation,[],[f1054,f32]) ).
fof(f1054,plain,
negate(add(negate(c),add(c,negate(c)))) = negate(add(negate(c),negate(add(negate(c),negate(add(negate(c),add(c,negate(c)))))))),
inference(forward_demodulation,[],[f1012,f1]) ).
fof(f1012,plain,
negate(add(negate(c),add(c,negate(c)))) = negate(add(negate(c),negate(add(negate(add(negate(c),add(c,negate(c)))),negate(c))))),
inference(superposition,[],[f55,f49]) ).
fof(f55,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(add(X0,X1)),negate(negate(add(X0,negate(X1)))))))),
inference(superposition,[],[f3,f3]) ).
fof(f73,plain,
negate(c) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
inference(forward_demodulation,[],[f72,f32]) ).
fof(f72,plain,
negate(c) = negate(add(c,negate(add(negate(c),add(c,negate(c)))))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f69,plain,
negate(c) = negate(add(negate(add(negate(c),add(c,negate(c)))),c)),
inference(superposition,[],[f3,f49]) ).
fof(f528,plain,
! [X0] : add(c,X0) = negate(add(negate(add(c,X0)),negate(add(c,add(X0,negate(c)))))),
inference(forward_demodulation,[],[f494,f2]) ).
fof(f494,plain,
! [X0] : add(c,X0) = negate(add(negate(add(c,X0)),negate(add(add(c,X0),negate(c))))),
inference(superposition,[],[f52,f24]) ).
fof(f12542,plain,
c = negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))),
inference(superposition,[],[f74,f4]) ).
fof(f74,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(add(c,negate(c)))))))) = X0,
inference(forward_demodulation,[],[f71,f1]) ).
fof(f71,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(add(c,negate(c)))))),negate(add(X0,c)))) = X0,
inference(superposition,[],[f3,f49]) ).
fof(f19124,plain,
! [X8] : negate(negate(X8)) = negate(negate(add(negate(add(c,negate(c))),add(X8,negate(negate(X8)))))),
inference(forward_demodulation,[],[f18927,f13236]) ).
fof(f18927,plain,
! [X8] : negate(negate(X8)) = negate(add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),add(X8,negate(negate(X8))))))),
inference(superposition,[],[f624,f13236]) ).
fof(f624,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(X0,add(X1,negate(add(X0,negate(X1)))))))),
inference(forward_demodulation,[],[f623,f2]) ).
fof(f623,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(add(X0,X1),negate(add(X0,negate(X1))))))),
inference(forward_demodulation,[],[f622,f1]) ).
fof(f622,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(negate(add(X0,negate(X1))),add(X0,X1))))),
inference(forward_demodulation,[],[f591,f1]) ).
fof(f591,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(negate(add(negate(add(X0,negate(X1))),add(X0,X1))),X0)),
inference(superposition,[],[f58,f3]) ).
fof(f58,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f14785,plain,
! [X25] : negate(X25) = negate(negate(add(negate(X25),negate(negate(negate(X25)))))),
inference(forward_demodulation,[],[f14784,f13236]) ).
fof(f14784,plain,
! [X25] : negate(X25) = negate(negate(add(negate(X25),negate(negate(add(negate(add(c,negate(c))),negate(X25))))))),
inference(forward_demodulation,[],[f14483,f13236]) ).
fof(f14483,plain,
! [X25] : negate(X25) = negate(add(negate(add(c,negate(c))),negate(add(negate(X25),negate(negate(add(negate(add(c,negate(c))),negate(X25)))))))),
inference(superposition,[],[f55,f13236]) ).
fof(f24450,plain,
negate(sF0) != add(negate(add(sF0,a)),negate(add(sF0,negate(a)))),
inference(forward_demodulation,[],[f24449,f1]) ).
fof(f24449,plain,
negate(sF0) != add(negate(add(a,sF0)),negate(add(sF0,negate(a)))),
inference(forward_demodulation,[],[f24017,f1]) ).
fof(f24017,plain,
add(negate(add(a,sF0)),negate(add(negate(a),sF0))) != negate(sF0),
inference(backward_demodulation,[],[f23,f23941]) ).
fof(f23941,plain,
b = negate(sF0),
inference(superposition,[],[f20618,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/sandbox2/tmp/tmp.27mxAjfQtu/Vampire---4.8_19598',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ROB005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n012.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 : Mon Aug 28 06:45:55 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.27mxAjfQtu/Vampire---4.8_19598
% 0.15/0.37 % (19707)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (19709)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)
% 0.23/0.43 % (19712)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.23/0.43 % (19711)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.23/0.43 % (19710)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.43 % (19708)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)
% 0.23/0.43 % (19714)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.23/0.43 % (19713)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)
% 13.01/2.32 % (19708)First to succeed.
% 13.01/2.33 % (19708)Refutation found. Thanks to Tanya!
% 13.01/2.33 % SZS status Unsatisfiable for Vampire---4
% 13.01/2.33 % SZS output start Proof for Vampire---4
% See solution above
% 13.01/2.33 % (19708)------------------------------
% 13.01/2.33 % (19708)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 13.01/2.33 % (19708)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 13.01/2.33 % (19708)Termination reason: Refutation
% 13.01/2.33
% 13.01/2.33 % (19708)Memory used [KB]: 72152
% 13.01/2.33 % (19708)Time elapsed: 1.896 s
% 13.01/2.33 % (19708)------------------------------
% 13.01/2.33 % (19708)------------------------------
% 13.01/2.33 % (19707)Success in time 1.952 s
% 13.01/2.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------