TSTP Solution File: ROB010-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ROB010-1 : 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 : n016.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 14:53:43 EDT 2024
% Result : Unsatisfiable 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 42 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 14 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(avatar_sat_refutation,[],[f10,f15,f19,f23,f36,f58]) ).
fof(f58,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f54,f34,f17,f12,f7]) ).
fof(f7,plain,
( spl0_1
<=> a = negate(add(c,negate(add(b,a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f12,plain,
( spl0_2
<=> negate(add(a,negate(b))) = c ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f17,plain,
( spl0_3
<=> ! [X0,X1] : add(X0,X1) = add(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f34,plain,
( spl0_5
<=> ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f54,plain,
( a = negate(add(c,negate(add(b,a))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f53,f18]) ).
fof(f18,plain,
( ! [X0,X1] : add(X0,X1) = add(X1,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f53,plain,
( a = negate(add(c,negate(add(a,b))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f47,f18]) ).
fof(f47,plain,
( a = negate(add(negate(add(a,b)),c))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f35,f14]) ).
fof(f14,plain,
( negate(add(a,negate(b))) = c
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f35,plain,
( ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
spl0_5,
inference(avatar_split_clause,[],[f3,f34]) ).
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(f23,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f21]) ).
fof(f21,plain,
( spl0_4
<=> ! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
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(f19,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f17]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f15,plain,
spl0_2,
inference(avatar_split_clause,[],[f4,f12]) ).
fof(f4,axiom,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f10,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f5,f7]) ).
fof(f5,axiom,
a != negate(add(c,negate(add(b,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : ROB010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.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 : Tue Apr 30 04:15:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (5482)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (5483)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (5485)WARNING: value z3 for option sas not known
% 0.21/0.37 % (5484)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (5486)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (5487)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)
% 0.21/0.37 % (5485)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)
% 0.21/0.37 % (5488)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)
% 0.21/0.37 % (5489)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 % (5487)First to succeed.
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (5487)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (5487)------------------------------
% 0.21/0.37 % (5487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (5487)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (5487)Memory used [KB]: 780
% 0.21/0.37 % (5487)Time elapsed: 0.005 s
% 0.21/0.37 % (5487)Instructions burned: 5 (million)
% 0.21/0.37 % (5487)------------------------------
% 0.21/0.37 % (5487)------------------------------
% 0.21/0.37 % (5482)Success in time 0.021 s
%------------------------------------------------------------------------------