TSTP Solution File: ARI298_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI298_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 : n008.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 10:35:02 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 59 ( 0 atm; 14 fun; 32 num; 13 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 : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f7928,plain,
$false,
inference(evaluation,[],[f7921]) ).
tff(f7921,plain,
1/4 != $product(5/8,2/5),
inference(unit_resulting_resolution,[],[f24,f6044]) ).
tff(f6044,plain,
! [X0: $rat] :
( ( $product(5/8,X0) != 1/4 )
| ( sK0 = X0 ) ),
inference(evaluation,[],[f6032]) ).
tff(f6032,plain,
! [X0: $rat] :
( ( $product(5/8,X0) != 1/4 )
| ( 5/8 = 0/1 )
| ( sK0 = X0 ) ),
inference(superposition,[],[f25,f23]) ).
tff(f23,plain,
1/4 = $product(5/8,sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 2/5 != sK0 )
& ( 1/4 = $product(5/8,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $rat] :
( ( 2/5 != X0 )
& ( $product(5/8,X0) = 1/4 ) )
=> ( ( 2/5 != sK0 )
& ( 1/4 = $product(5/8,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 2/5 != X0 )
& ( $product(5/8,X0) = 1/4 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(5/8,X0) = 1/4 )
=> ( 2/5 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(5/8,X0) = 1/4 )
=> ( 2/5 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_product_problem_15) ).
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,
2/5 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI298_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
% 0.14/0.35 % Computer : n008.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 05:38:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (15655)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15658)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (15658)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15658)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15658)------------------------------
% 0.14/0.37 % (15658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15658)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15658)Memory used [KB]: 724
% 0.14/0.37 % (15658)Time elapsed: 0.002 s
% 0.14/0.37 % (15661)WARNING: value z3 for option sas not known
% 0.14/0.37 % (15658)Instructions burned: 2 (million)
% 0.14/0.37 % (15658)------------------------------
% 0.14/0.37 % (15658)------------------------------
% 0.14/0.37 % (15662)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (15661)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)
% 0.14/0.37 % (15664)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)
% 0.14/0.37 % (15665)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)
% 0.14/0.37 % (15659)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (15663)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)
% 0.14/0.37 % (15662)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15662)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15662)------------------------------
% 0.14/0.37 % (15662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15662)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15662)Memory used [KB]: 724
% 0.14/0.37 % (15662)Time elapsed: 0.002 s
% 0.14/0.37 % (15662)Instructions burned: 2 (million)
% 0.14/0.37 % (15662)------------------------------
% 0.14/0.37 % (15662)------------------------------
% 0.14/0.37 % (15659)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15659)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15659)------------------------------
% 0.14/0.37 % (15659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15659)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15659)Memory used [KB]: 724
% 0.14/0.37 % (15659)Time elapsed: 0.003 s
% 0.14/0.37 % (15659)Instructions burned: 2 (million)
% 0.14/0.37 % (15659)------------------------------
% 0.14/0.37 % (15659)------------------------------
% 0.20/0.38 % (15672)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.39 % (15672)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.39 % (15672)Terminated due to inappropriate strategy.
% 0.20/0.39 % (15672)------------------------------
% 0.20/0.39 % (15672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39 % (15672)Termination reason: Inappropriate
% 0.20/0.39
% 0.20/0.39 % (15672)Memory used [KB]: 724
% 0.20/0.39 % (15672)Time elapsed: 0.002 s
% 0.20/0.39 % (15672)Instructions burned: 2 (million)
% 0.20/0.39 % (15672)------------------------------
% 0.20/0.39 % (15672)------------------------------
% 0.20/0.39 % (15673)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)
% 0.20/0.39 % (15674)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)
% 0.20/0.40 % (15678)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)
% 0.20/0.48 % (15673)First to succeed.
% 0.20/0.48 % (15673)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (15673)------------------------------
% 0.20/0.48 % (15673)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.48 % (15673)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (15673)Memory used [KB]: 1417
% 0.20/0.48 % (15673)Time elapsed: 0.095 s
% 0.20/0.48 % (15673)Instructions burned: 215 (million)
% 0.20/0.48 % (15673)------------------------------
% 0.20/0.48 % (15673)------------------------------
% 0.20/0.48 % (15655)Success in time 0.126 s
%------------------------------------------------------------------------------