TSTP Solution File: ARI705_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI705_1 : TPTP v8.2.0. Released v6.3.0.
% 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 : Mon May 20 18:51:00 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 26 unt; 4 typ; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 123 ( 0 atm; 75 fun; 33 num; 15 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
c: $int ).
tff(func_def_3,type,
b: $int ).
tff(f2463,plain,
$false,
inference(subsumption_resolution,[],[f2462,f18]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_149,[]) ).
tff(f2462,plain,
0 != $product(b,0),
inference(forward_demodulation,[],[f2461,f39]) ).
tff(f39,plain,
! [X0: $int] : ( 0 = $product(0,X0) ),
inference(superposition,[],[f15,f18]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f2461,plain,
0 != $product(b,$product(0,$product(d,c))),
inference(evaluation,[],[f2455]) ).
tff(f2455,plain,
0 != $product(b,$product(2,$product(0,$product(d,c)))),
inference(superposition,[],[f577,f2441]) ).
tff(f2441,plain,
a = 0,
inference(evaluation,[],[f2440]) ).
tff(f2440,plain,
0 = $sum(a,0),
inference(forward_demodulation,[],[f2323,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f2323,plain,
0 = $sum(a,$sum($product(d,d),$uminus($product(d,d)))),
inference(superposition,[],[f480,f271]) ).
tff(f271,plain,
$product(d,d) = $sum(a,$product(d,d)),
inference(superposition,[],[f24,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f24,plain,
$product(d,d) = $sum($product(d,d),a),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(d,d) = $sum($product(d,d),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
tff(f480,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f5,f8]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f577,plain,
0 != $product(b,$product(2,$product(a,$product(d,c)))),
inference(forward_demodulation,[],[f567,f15]) ).
tff(f567,plain,
0 != $product(b,$product($product(a,$product(d,c)),2)),
inference(superposition,[],[f108,f16]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f108,plain,
0 != $product($product(b,$product(a,$product(d,c))),2),
inference(forward_demodulation,[],[f107,f15]) ).
tff(f107,plain,
0 != $product($product(b,$product($product(d,c),a)),2),
inference(forward_demodulation,[],[f23,f15]) ).
tff(f23,plain,
$product($product($product($product(d,c),a),b),2) != 0,
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
$product($product($product($product(d,c),a),b),2) != 0,
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ $product($product($product($product(d,c),a),b),2) = 0 ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
$product($product($product($product(d,c),a),b),2) = 0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI705_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 13:01:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (17863)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (17866)WARNING: value z3 for option sas not known
% 0.13/0.36 % (17866)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)
% 0.13/0.36 % (17864)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (17869)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)
% 0.13/0.36 % (17870)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)
% 0.13/0.36 % (17867)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (17865)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (17868)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)
% 0.13/0.36 % (17864)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (17865)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (17867)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (17867)Terminated due to inappropriate strategy.
% 0.13/0.36 % (17867)------------------------------
% 0.13/0.36 % (17867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (17865)Terminated due to inappropriate strategy.
% 0.13/0.36 % (17865)------------------------------
% 0.13/0.36 % (17865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (17865)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (17865)Memory used [KB]: 724
% 0.13/0.36 % (17865)Time elapsed: 0.002 s
% 0.13/0.36 % (17864)Terminated due to inappropriate strategy.
% 0.13/0.36 % (17864)------------------------------
% 0.13/0.36 % (17864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (17865)Instructions burned: 2 (million)
% 0.13/0.36 % (17864)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (17864)Memory used [KB]: 723
% 0.13/0.36 % (17864)Time elapsed: 0.002 s
% 0.13/0.36 % (17864)Instructions burned: 2 (million)
% 0.13/0.36 % (17867)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (17867)Memory used [KB]: 723
% 0.13/0.36 % (17867)Time elapsed: 0.003 s
% 0.13/0.36 % (17867)Instructions burned: 2 (million)
% 0.13/0.36 % (17865)------------------------------
% 0.13/0.36 % (17865)------------------------------
% 0.13/0.36 % (17864)------------------------------
% 0.13/0.36 % (17864)------------------------------
% 0.13/0.36 % (17867)------------------------------
% 0.13/0.36 % (17867)------------------------------
% 0.13/0.38 % (17873)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)
% 0.13/0.38 % (17872)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)
% 0.13/0.38 % (17871)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.38 % (17871)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (17871)Terminated due to inappropriate strategy.
% 0.13/0.38 % (17871)------------------------------
% 0.13/0.38 % (17871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (17871)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (17871)Memory used [KB]: 723
% 0.13/0.38 % (17871)Time elapsed: 0.003 s
% 0.13/0.38 % (17871)Instructions burned: 2 (million)
% 0.13/0.38 % (17871)------------------------------
% 0.13/0.38 % (17871)------------------------------
% 0.13/0.40 % (17874)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.19/0.42 % (17866)First to succeed.
% 0.19/0.42 % (17866)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17863"
% 0.19/0.42 % (17866)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (17866)------------------------------
% 0.19/0.42 % (17866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.42 % (17866)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (17866)Memory used [KB]: 1403
% 0.19/0.42 % (17866)Time elapsed: 0.061 s
% 0.19/0.42 % (17866)Instructions burned: 92 (million)
% 0.19/0.42 % (17863)Success in time 0.077 s
%------------------------------------------------------------------------------