TSTP Solution File: ARI180_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI180_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 04:35:28 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 16 unt; 3 typ; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 25 ( 8 ~; 0 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 96 ( 0 atm; 49 fun; 27 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 14 !; 6 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(f928,plain,
$false,
inference(subsumption_resolution,[],[f927,f22]) ).
tff(f22,plain,
f(0) != sK1,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( f(0) != sK1 )
& ( 0 = $sum(sK1,$uminus(f(sK0))) )
& ( f(sK0) = $sum(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $int,X1: $int] :
( ( f(0) != X1 )
& ( 0 = $sum(X1,$uminus(f(X0))) )
& ( $sum(X0,X1) = f(X0) ) )
=> ( ( f(0) != sK1 )
& ( 0 = $sum(sK1,$uminus(f(sK0))) )
& ( f(sK0) = $sum(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
( ( f(0) != X1 )
& ( 0 = $sum(X1,$uminus(f(X0))) )
& ( $sum(X0,X1) = f(X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( f(0) != X1 )
& ( 0 = $sum(X1,$uminus(f(X0))) )
& ( $sum(X0,X1) = f(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int] :
( ( ( 0 = $sum(X1,$uminus(f(X0))) )
& ( $sum(X0,X1) = f(X0) ) )
=> ( f(0) = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ( $difference(X1,f(X0)) = 0 )
& ( $sum(X0,X1) = f(X0) ) )
=> ( f(0) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( ( $difference(X1,f(X0)) = 0 )
& ( $sum(X0,X1) = f(X0) ) )
=> ( f(0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f927,plain,
f(0) = sK1,
inference(evaluation,[],[f920]) ).
tff(f920,plain,
f(0) = $sum(0,sK1),
inference(superposition,[],[f20,f917]) ).
tff(f917,plain,
0 = sK0,
inference(evaluation,[],[f911]) ).
tff(f911,plain,
0 = $sum(sK0,0),
inference(superposition,[],[f854,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f854,plain,
! [X0: $int] : ( $sum(sK1,X0) = $sum(sK0,$sum(sK1,X0)) ),
inference(forward_demodulation,[],[f388,f599]) ).
tff(f599,plain,
sK1 = f(sK0),
inference(evaluation,[],[f593]) ).
tff(f593,plain,
$sum(sK1,0) = $uminus($uminus(f(sK0))),
inference(superposition,[],[f415,f8]) ).
tff(f415,plain,
! [X0: $int] : ( $sum(sK1,$sum($uminus(f(sK0)),X0)) = X0 ),
inference(evaluation,[],[f389]) ).
tff(f389,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(sK1,$sum($uminus(f(sK0)),X0)) ),
inference(superposition,[],[f5,f21]) ).
tff(f21,plain,
0 = $sum(sK1,$uminus(f(sK0))),
inference(cnf_transformation,[],[f19]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f388,plain,
! [X0: $int] : ( $sum(sK0,$sum(sK1,X0)) = $sum(f(sK0),X0) ),
inference(superposition,[],[f5,f20]) ).
tff(f20,plain,
f(sK0) = $sum(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI180_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.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 : Fri May 3 21:51:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18245)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18248)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18246)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (18248)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 % (18249)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (18247)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 % (18250)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 % (18251)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 % (18252)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 % (18246)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (18246)Terminated due to inappropriate strategy.
% 0.15/0.38 % (18246)------------------------------
% 0.15/0.38 % (18246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18246)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (18246)Memory used [KB]: 724
% 0.15/0.38 % (18246)Time elapsed: 0.002 s
% 0.15/0.38 % (18246)Instructions burned: 2 (million)
% 0.15/0.38 % (18249)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (18247)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (18249)Terminated due to inappropriate strategy.
% 0.15/0.38 % (18249)------------------------------
% 0.15/0.38 % (18249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18247)Terminated due to inappropriate strategy.
% 0.15/0.38 % (18247)------------------------------
% 0.15/0.38 % (18247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (18249)Termination reason: Inappropriate
% 0.15/0.38 % (18247)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (18249)Memory used [KB]: 724
% 0.15/0.38 % (18247)Memory used [KB]: 724
% 0.15/0.38 % (18249)Time elapsed: 0.002 s
% 0.15/0.38 % (18247)Time elapsed: 0.002 s
% 0.15/0.38 % (18249)Instructions burned: 2 (million)
% 0.15/0.38 % (18247)Instructions burned: 2 (million)
% 0.15/0.38 % (18246)------------------------------
% 0.15/0.38 % (18246)------------------------------
% 0.15/0.38 % (18247)------------------------------
% 0.15/0.38 % (18247)------------------------------
% 0.15/0.38 % (18249)------------------------------
% 0.15/0.38 % (18249)------------------------------
% 0.15/0.40 % (18253)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.40 % (18255)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.40 % (18254)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.40 % (18253)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (18253)Terminated due to inappropriate strategy.
% 0.15/0.40 % (18253)------------------------------
% 0.15/0.40 % (18253)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (18253)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (18253)Memory used [KB]: 724
% 0.15/0.40 % (18253)Time elapsed: 0.002 s
% 0.15/0.40 % (18253)Instructions burned: 2 (million)
% 0.15/0.40 % (18253)------------------------------
% 0.15/0.40 % (18253)------------------------------
% 0.15/0.40 % (18248)First to succeed.
% 0.15/0.40 % (18251)Also succeeded, but the first one will report.
% 0.15/0.40 % (18248)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18245"
% 0.15/0.40 % (18248)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (18248)------------------------------
% 0.15/0.40 % (18248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (18248)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (18248)Memory used [KB]: 1040
% 0.15/0.40 % (18248)Time elapsed: 0.025 s
% 0.15/0.40 % (18248)Instructions burned: 34 (million)
% 0.15/0.40 % (18245)Success in time 0.038 s
%------------------------------------------------------------------------------