TSTP Solution File: NUM895_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM895_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 : n020.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 20:42:30 EDT 2023
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 23 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 0 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 40 ( 0 atm; 25 fun; 0 num; 15 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 15 (; 9 !; 6 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f31,plain,
$false,
inference(avatar_smt_refutation,[],[f25,f30]) ).
tff(f30,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f20,f27]) ).
tff(f27,plain,
( spl3_2
<=> ( sK1 = $sum(sK2,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f20,plain,
sK1 != $sum(sK2,$uminus(sK0)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK1 != $sum(sK2,$uminus(sK0)) )
& ( sK2 = $sum(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X0)) != X1 )
& ( $sum(X0,X1) = X2 ) )
=> ( ( sK1 != $sum(sK2,$uminus(sK0)) )
& ( sK2 = $sum(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X0)) != X1 )
& ( $sum(X0,X1) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $sum(X2,$uminus(X0)) = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.x5hsaV4GaK/Vampire---4.8_11116',sum_difference) ).
tff(f25,plain,
spl3_1,
inference(avatar_split_clause,[],[f19,f22]) ).
tff(f22,plain,
( spl3_1
<=> ( sK2 = $sum(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f19,plain,
sK2 = $sum(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM895_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.37 % Computer : n020.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Aug 30 15:07:58 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.21/0.43 % (11222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (11224)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.44 % (11225)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)
% 0.21/0.44 % (11226)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.44 % (11229)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)
% 0.21/0.44 % (11227)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)
% 0.21/0.44 % (11223)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.44 % (11228)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)
% 0.21/0.44 % (11226)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.44 % (11224)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.44 % (11224)Terminated due to inappropriate strategy.
% 0.21/0.44 % (11224)------------------------------
% 0.21/0.44 % (11224)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (11224)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (11224)Termination reason: Inappropriate
% 0.21/0.44
% 0.21/0.44 % (11224)Memory used [KB]: 767
% 0.21/0.44 % (11224)Time elapsed: 0.003 s
% 0.21/0.44 % (11224)------------------------------
% 0.21/0.44 % (11224)------------------------------
% 0.21/0.44 % (11226)Terminated due to inappropriate strategy.
% 0.21/0.44 % (11226)------------------------------
% 0.21/0.44 % (11226)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (11226)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (11223)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.44 % (11226)Termination reason: Inappropriate
% 0.21/0.44
% 0.21/0.44 % (11226)Memory used [KB]: 767
% 0.21/0.44 % (11226)Time elapsed: 0.002 s
% 0.21/0.44 % (11226)------------------------------
% 0.21/0.44 % (11226)------------------------------
% 0.21/0.44 % (11223)Terminated due to inappropriate strategy.
% 0.21/0.44 % (11223)------------------------------
% 0.21/0.44 % (11223)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (11223)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (11223)Termination reason: Inappropriate
% 0.21/0.44
% 0.21/0.44 % (11223)Memory used [KB]: 767
% 0.21/0.44 % (11223)Time elapsed: 0.002 s
% 0.21/0.44 % (11223)------------------------------
% 0.21/0.44 % (11223)------------------------------
% 0.21/0.44 % (11231)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.21/0.44 % (11230)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.21/0.44 % (11230)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.44 % (11230)Terminated due to inappropriate strategy.
% 0.21/0.44 % (11230)------------------------------
% 0.21/0.44 % (11230)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (11230)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (11230)Termination reason: Inappropriate
% 0.21/0.44
% 0.21/0.44 % (11230)Memory used [KB]: 767
% 0.21/0.44 % (11230)Time elapsed: 0.002 s
% 0.21/0.44 % (11230)------------------------------
% 0.21/0.44 % (11230)------------------------------
% 0.21/0.44 % (11232)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.21/0.44 % (11233)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 Vampire---4 for (354ds/0Mi)
% 0.21/0.49 % (11225)First to succeed.
% 0.21/0.49 % (11225)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for Vampire---4
% 0.21/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.49 % (11225)------------------------------
% 0.21/0.49 % (11225)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (11225)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (11225)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (11225)Memory used [KB]: 5373
% 0.21/0.49 % (11225)Time elapsed: 0.053 s
% 0.21/0.49 % (11225)------------------------------
% 0.21/0.49 % (11225)------------------------------
% 0.21/0.49 % (11222)Success in time 0.115 s
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------