TSTP Solution File: ROB003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n031.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 : Fri Sep 1 22:00:11 EDT 2023
% Result : Unsatisfiable 43.03s 6.78s
% Output : Refutation 43.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99622,plain,
$false,
inference(subsumption_resolution,[],[f98770,f1467]) ).
fof(f1467,plain,
! [X2] : negate(negate(X2)) = X2,
inference(forward_demodulation,[],[f1426,f1376]) ).
fof(f1376,plain,
! [X1] : add(negate(c),X1) = X1,
inference(forward_demodulation,[],[f1348,f844]) ).
fof(f844,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),X0)))) = X0,
inference(superposition,[],[f792,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.FyLshT3AUl/Vampire---4.8_2940',commutativity_of_add) ).
fof(f792,plain,
! [X0] : negate(add(negate(c),negate(add(X0,negate(c))))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : c = add(X0,c),
file('/export/starexec/sandbox2/tmp/tmp.FyLshT3AUl/Vampire---4.8_2940',there_exists_a_constant) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/tmp/tmp.FyLshT3AUl/Vampire---4.8_2940',robbins_axiom) ).
fof(f1348,plain,
! [X1] : add(negate(c),X1) = negate(add(negate(c),negate(add(negate(c),X1)))),
inference(superposition,[],[f844,f1286]) ).
fof(f1286,plain,
! [X0] : add(negate(c),X0) = add(negate(c),add(negate(c),X0)),
inference(superposition,[],[f2,f1228]) ).
fof(f1228,plain,
negate(c) = add(negate(c),negate(c)),
inference(superposition,[],[f856,f844]) ).
fof(f856,plain,
! [X0] : negate(c) = negate(add(X0,negate(add(negate(c),add(X0,negate(c)))))),
inference(forward_demodulation,[],[f853,f1]) ).
fof(f853,plain,
! [X0] : negate(c) = negate(add(negate(add(negate(c),add(X0,negate(c)))),X0)),
inference(superposition,[],[f3,f792]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.FyLshT3AUl/Vampire---4.8_2940',associativity_of_add) ).
fof(f1426,plain,
! [X2] : negate(add(negate(c),negate(X2))) = X2,
inference(superposition,[],[f844,f1376]) ).
fof(f98770,plain,
b != negate(negate(b)),
inference(superposition,[],[f5,f1498]) ).
fof(f1498,plain,
! [X6,X7] : negate(X7) = add(negate(add(X6,X7)),negate(add(negate(X6),X7))),
inference(superposition,[],[f1467,f922]) ).
fof(f922,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f793,f1]) ).
fof(f793,plain,
! [X2,X1] : negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f5,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox2/tmp/tmp.FyLshT3AUl/Vampire---4.8_2940',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n031.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 : Wed Aug 30 17:26:42 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.43 % (3106)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (3107)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.44 % (3108)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.44 % (3110)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.44 % (3109)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.44 % (3111)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.44 % (3112)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [2]
% 0.22/0.44 % (3113)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.46 TRYING [4]
% 0.22/0.46 TRYING [5]
% 0.22/0.52 TRYING [6]
% 0.91/0.57 TRYING [5]
% 2.87/0.88 TRYING [7]
% 7.19/1.53 TRYING [1]
% 7.19/1.53 TRYING [2]
% 7.19/1.53 TRYING [3]
% 7.19/1.53 TRYING [4]
% 7.71/1.55 TRYING [5]
% 7.95/1.63 TRYING [6]
% 9.54/1.86 TRYING [8]
% 11.34/2.15 TRYING [7]
% 18.22/3.18 TRYING [6]
% 25.99/4.29 TRYING [8]
% 28.40/4.61 TRYING [9]
% 43.03/6.76 % (3113)First to succeed.
% 43.03/6.78 % (3113)Refutation found. Thanks to Tanya!
% 43.03/6.78 % SZS status Unsatisfiable for Vampire---4
% 43.03/6.78 % SZS output start Proof for Vampire---4
% See solution above
% 43.03/6.78 % (3113)------------------------------
% 43.03/6.78 % (3113)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 43.03/6.78 % (3113)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 43.03/6.78 % (3113)Termination reason: Refutation
% 43.03/6.78
% 43.03/6.78 % (3113)Memory used [KB]: 252789
% 43.03/6.78 % (3113)Time elapsed: 6.322 s
% 43.03/6.78 % (3113)------------------------------
% 43.03/6.78 % (3113)------------------------------
% 43.03/6.78 % (3106)Success in time 6.391 s
% 43.03/6.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------