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 --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue Apr 30 14:53:42 EDT 2024
% Result : Unsatisfiable 41.58s 6.32s
% Output : Refutation 41.58s
% 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(f99630,plain,
$false,
inference(subsumption_resolution,[],[f98751,f1452]) ).
fof(f1452,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[],[f1411,f1364]) ).
fof(f1364,plain,
! [X0] : add(negate(c),X0) = X0,
inference(forward_demodulation,[],[f1336,f832]) ).
fof(f832,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),X0)))) = X0,
inference(superposition,[],[f780,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f780,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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f1336,plain,
! [X0] : add(negate(c),X0) = negate(add(negate(c),negate(add(negate(c),X0)))),
inference(superposition,[],[f832,f1274]) ).
fof(f1274,plain,
! [X0] : add(negate(c),X0) = add(negate(c),add(negate(c),X0)),
inference(superposition,[],[f2,f1216]) ).
fof(f1216,plain,
negate(c) = add(negate(c),negate(c)),
inference(superposition,[],[f844,f832]) ).
fof(f844,plain,
! [X0] : negate(c) = negate(add(X0,negate(add(negate(c),add(X0,negate(c)))))),
inference(forward_demodulation,[],[f841,f1]) ).
fof(f841,plain,
! [X0] : negate(c) = negate(add(negate(add(negate(c),add(X0,negate(c)))),X0)),
inference(superposition,[],[f3,f780]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f1411,plain,
! [X0] : negate(add(negate(c),negate(X0))) = X0,
inference(superposition,[],[f832,f1364]) ).
fof(f98751,plain,
b != negate(negate(b)),
inference(superposition,[],[f5,f1484]) ).
fof(f1484,plain,
! [X0,X1] : negate(X1) = add(negate(add(X0,X1)),negate(add(negate(X0),X1))),
inference(superposition,[],[f1452,f910]) ).
fof(f910,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f781,f1]) ).
fof(f781,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X0,negate(X1))))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f5,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 03:37:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (10416)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (10417)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (10423)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 theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (10419)WARNING: value z3 for option sas not known
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (10418)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (10421)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 theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (10422)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 theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (10419)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 theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (10420)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.21/0.47 TRYING [6]
% 1.57/0.57 TRYING [5]
% 2.91/0.82 TRYING [7]
% 7.77/1.48 TRYING [1]
% 7.77/1.48 TRYING [2]
% 7.77/1.48 TRYING [3]
% 7.77/1.49 TRYING [4]
% 8.03/1.51 TRYING [5]
% 8.32/1.59 TRYING [6]
% 9.26/1.76 TRYING [8]
% 12.22/2.09 TRYING [7]
% 16.70/2.77 TRYING [6]
% 25.87/4.13 TRYING [8]
% 27.65/4.32 TRYING [9]
% 41.25/6.31 % (10423)First to succeed.
% 41.58/6.32 % (10423)Refutation found. Thanks to Tanya!
% 41.58/6.32 % SZS status Unsatisfiable for theBenchmark
% 41.58/6.32 % SZS output start Proof for theBenchmark
% See solution above
% 41.58/6.32 % (10423)------------------------------
% 41.58/6.32 % (10423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 41.58/6.32 % (10423)Termination reason: Refutation
% 41.58/6.32
% 41.58/6.32 % (10423)Memory used [KB]: 58906
% 41.58/6.32 % (10423)Time elapsed: 5.932 s
% 41.58/6.32 % (10423)Instructions burned: 13672 (million)
% 41.58/6.32 % (10423)------------------------------
% 41.58/6.32 % (10423)------------------------------
% 41.58/6.32 % (10416)Success in time 5.96 s
%------------------------------------------------------------------------------