TSTP Solution File: ARI297_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI297_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 18:49:59 EDT 2024
% Result : Theorem 49.23s 7.48s
% Output : Refutation 49.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 66 ( 0 atm; 17 fun; 34 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 : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f254448,plain,
$false,
inference(evaluation,[],[f254438]) ).
tff(f254438,plain,
1/4 != $product(2/5,5/8),
inference(unit_resulting_resolution,[],[f24,f5810]) ).
tff(f5810,plain,
! [X0: $rat] :
( ( 1/4 != $product(2/5,X0) )
| ( sK0 = X0 ) ),
inference(evaluation,[],[f5796]) ).
tff(f5796,plain,
! [X0: $rat] :
( ( 1/4 != $product(2/5,X0) )
| ( 2/5 = 0/1 )
| ( sK0 = X0 ) ),
inference(superposition,[],[f25,f38]) ).
tff(f38,plain,
1/4 = $product(2/5,sK0),
inference(superposition,[],[f14,f23]) ).
tff(f23,plain,
1/4 = $product(sK0,2/5),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) )
=> ( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_14) ).
tff(f14,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f25,plain,
! [X2: $rat,X3: $rat,X0: $rat] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0/1 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ( 0/1 = X0 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 ) ),
introduced(theory_axiom_151,[]) ).
tff(f24,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI297_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 13:11:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.38 % (14679)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (14682)WARNING: value z3 for option sas not known
% 0.14/0.39 % (14680)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (14681)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (14683)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (14682)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)
% 0.14/0.39 % (14684)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)
% 0.14/0.39 % (14685)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)
% 0.14/0.39 % (14686)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)
% 0.23/0.39 % (14681)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.39 % (14683)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.39 % (14680)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.39 % (14680)Terminated due to inappropriate strategy.
% 0.23/0.39 % (14680)------------------------------
% 0.23/0.39 % (14680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (14683)Terminated due to inappropriate strategy.
% 0.23/0.39 % (14683)------------------------------
% 0.23/0.39 % (14683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (14680)Termination reason: Inappropriate
% 0.23/0.39 % (14683)Termination reason: Inappropriate
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (14680)Memory used [KB]: 724
% 0.23/0.39 % (14683)Memory used [KB]: 724
% 0.23/0.39 % (14683)Time elapsed: 0.002 s
% 0.23/0.39 % (14680)Time elapsed: 0.002 s
% 0.23/0.39 % (14680)Instructions burned: 2 (million)
% 0.23/0.39 % (14683)Instructions burned: 2 (million)
% 0.23/0.39 % (14681)Terminated due to inappropriate strategy.
% 0.23/0.39 % (14681)------------------------------
% 0.23/0.39 % (14681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (14681)Termination reason: Inappropriate
% 0.23/0.39
% 0.23/0.39 % (14681)Memory used [KB]: 725
% 0.23/0.39 % (14681)Time elapsed: 0.003 s
% 0.23/0.39 % (14681)Instructions burned: 2 (million)
% 0.23/0.39 % (14680)------------------------------
% 0.23/0.39 % (14680)------------------------------
% 0.23/0.39 % (14683)------------------------------
% 0.23/0.39 % (14683)------------------------------
% 0.23/0.39 % (14681)------------------------------
% 0.23/0.39 % (14681)------------------------------
% 0.23/0.41 % (14687)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.23/0.41 % (14688)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)
% 0.23/0.41 % (14689)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)
% 0.23/0.41 % (14687)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.41 % (14687)Terminated due to inappropriate strategy.
% 0.23/0.41 % (14687)------------------------------
% 0.23/0.41 % (14687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.41 % (14687)Termination reason: Inappropriate
% 0.23/0.41
% 0.23/0.41 % (14687)Memory used [KB]: 724
% 0.23/0.41 % (14687)Time elapsed: 0.003 s
% 0.23/0.41 % (14687)Instructions burned: 2 (million)
% 0.23/0.41 % (14687)------------------------------
% 0.23/0.41 % (14687)------------------------------
% 0.23/0.43 % (14690)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)
% 49.23/7.48 % (14688)First to succeed.
% 49.23/7.48 % (14688)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14679"
% 49.23/7.48 % (14688)Refutation found. Thanks to Tanya!
% 49.23/7.48 % SZS status Theorem for theBenchmark
% 49.23/7.48 % SZS output start Proof for theBenchmark
% See solution above
% 49.23/7.48 % (14688)------------------------------
% 49.23/7.48 % (14688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 49.23/7.48 % (14688)Termination reason: Refutation
% 49.23/7.48
% 49.23/7.48 % (14688)Memory used [KB]: 29144
% 49.23/7.48 % (14688)Time elapsed: 7.068 s
% 49.23/7.48 % (14688)Instructions burned: 16084 (million)
% 49.23/7.48 % (14679)Success in time 7.06 s
%------------------------------------------------------------------------------