TSTP Solution File: ARI278_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI278_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.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 : Fri Sep 1 13:39:21 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 44 ( 0 atm; 14 fun; 25 num; 5 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 : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 5 (; 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f19]) ).
tff(f19,plain,
1/3 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 1/3 != sK0 )
& ( $sum(5/12,$uminus(1/12)) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( 1/3 != X0 )
& ( $sum(5/12,$uminus(1/12)) = X0 ) )
=> ( ( 1/3 != sK0 )
& ( $sum(5/12,$uminus(1/12)) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( 1/3 != X0 )
& ( $sum(5/12,$uminus(1/12)) = X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat] :
( ( $sum(5/12,$uminus(1/12)) = X0 )
=> ( 1/3 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $difference(5/12,1/12) = X0 )
=> ( 1/3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $difference(5/12,1/12) = X0 )
=> ( 1/3 = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.UXGd4leqUp/Vampire---4.8_5453',rat_difference_problem_6) ).
tff(f20,plain,
1/3 = sK0,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
$sum(5/12,$uminus(1/12)) = sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI278_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 17:59:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % (5595)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5596)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (5599)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (5600)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (5601)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (5602)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (5596)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (5596)Terminated due to inappropriate strategy.
% 0.21/0.42 % (5596)------------------------------
% 0.21/0.42 % (5596)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (5603)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (5596)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (5596)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (5596)Memory used [KB]: 767
% 0.21/0.42 % (5596)Time elapsed: 0.002 s
% 0.21/0.42 % (5596)------------------------------
% 0.21/0.42 % (5596)------------------------------
% 0.21/0.42 % (5599)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (5599)Terminated due to inappropriate strategy.
% 0.21/0.42 % (5599)------------------------------
% 0.21/0.42 % (5599)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (5604)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.42 % (5599)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (5599)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (5601)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (5599)Memory used [KB]: 767
% 0.21/0.42 % (5599)Time elapsed: 0.002 s
% 0.21/0.42 % (5599)------------------------------
% 0.21/0.42 % (5599)------------------------------
% 0.21/0.42 % (5601)Terminated due to inappropriate strategy.
% 0.21/0.42 % (5601)------------------------------
% 0.21/0.42 % (5601)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (5601)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (5601)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (5601)Memory used [KB]: 767
% 0.21/0.42 % (5601)Time elapsed: 0.002 s
% 0.21/0.42 % (5601)------------------------------
% 0.21/0.42 % (5601)------------------------------
% 0.21/0.42 % (5604)First to succeed.
% 0.21/0.42 % (5602)Also succeeded, but the first one will report.
% 0.21/0.42 % (5604)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (5604)------------------------------
% 0.21/0.42 % (5604)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (5604)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (5604)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (5604)Memory used [KB]: 895
% 0.21/0.42 % (5604)Time elapsed: 0.003 s
% 0.21/0.42 % (5604)------------------------------
% 0.21/0.42 % (5604)------------------------------
% 0.21/0.42 % (5595)Success in time 0.06 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------