TSTP Solution File: NUM907_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM907_1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 14:38:23 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 92 ( 67 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 92 ( 36 ~; 34 |; 14 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 162 ( 0 atm; 121 fun; 5 num; 36 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 24 !; 12 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $rat ).
tff(func_def_6,type,
sK1: $rat ).
tff(func_def_7,type,
sK2: $rat ).
tff(f1837,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f37,f313,f1834,f1836]) ).
tff(f1836,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f1796,f24,f32]) ).
tff(f32,plain,
( spl3_3
<=> ( sK1 = $sum(sK2,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f24,plain,
( spl3_1
<=> ( sK2 = $sum(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f1796,plain,
( ( sK1 = $sum(sK2,$uminus(sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f387,f207]) ).
tff(f207,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f189]) ).
tff(f189,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f387,plain,
( ! [X0: $rat] : ( $sum(sK2,X0) = $sum(sK0,$sum(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f324,f4]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f324,plain,
( ! [X0: $rat] : ( $sum(sK2,X0) = $sum(sK0,$sum(sK1,X0)) )
| ~ spl3_1 ),
inference(superposition,[],[f5,f25]) ).
tff(f25,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f1834,plain,
( spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f395,f24,f28]) ).
tff(f28,plain,
( spl3_2
<=> ( sK0 = $sum(sK2,$uminus(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f395,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ~ spl3_1 ),
inference(evaluation,[],[f389]) ).
tff(f389,plain,
( ( $sum(sK2,$uminus(sK1)) = $sum(sK0,0/1) )
| ~ spl3_1 ),
inference(superposition,[],[f324,f8]) ).
tff(f313,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f305,f28,f24]) ).
tff(f305,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl3_2 ),
inference(evaluation,[],[f294]) ).
tff(f294,plain,
( ( $sum(sK0,sK1) = $sum(sK2,0/1) )
| ~ spl3_2 ),
inference(superposition,[],[f187,f38]) ).
tff(f38,plain,
! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f14,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f187,plain,
( ! [X0: $rat] : ( $sum(sK2,$sum($uminus(sK1),X0)) = $sum(sK0,X0) )
| ~ spl3_2 ),
inference(superposition,[],[f5,f29]) ).
tff(f29,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f37,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f28,f24]) ).
tff(f20,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ( sK2 = $sum(sK0,sK1) ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) )
& ( ( ( sK1 = $sum(sK2,$uminus(sK0)) )
& ( sK0 = $sum(sK2,$uminus(sK1)) ) )
| ( sK2 = $sum(sK0,sK1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) )
=> ( ( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) )
& ( ( ( sK1 = $sum(sK2,$uminus(sK0)) )
& ( sK0 = $sum(sK2,$uminus(sK1)) ) )
| ( sK2 = $sum(sK0,sK1) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<~> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_2) ).
tff(f35,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f22,f32,f28,f24]) ).
tff(f22,plain,
( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM907_1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:20:55 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (29916)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (29919)WARNING: value z3 for option sas not known
% 0.15/0.33 % (29921)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)
% 0.15/0.33 % (29917)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (29920)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (29918)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (29919)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)
% 0.15/0.33 % (29920)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.33 % (29917)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.33 % (29918)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.33 % (29922)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)
% 0.15/0.33 % (29920)Terminated due to inappropriate strategy.
% 0.15/0.33 % (29920)------------------------------
% 0.15/0.33 % (29920)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (29917)Terminated due to inappropriate strategy.
% 0.15/0.33 % (29917)------------------------------
% 0.15/0.33 % (29917)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (29920)Termination reason: Inappropriate
% 0.15/0.33 % (29917)Termination reason: Inappropriate
% 0.15/0.33
% 0.15/0.33
% 0.15/0.33 % (29918)Terminated due to inappropriate strategy.
% 0.15/0.33 % (29918)------------------------------
% 0.15/0.33 % (29918)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (29918)Termination reason: Inappropriate
% 0.15/0.33 % (29920)Memory used [KB]: 723
% 0.15/0.33 % (29917)Memory used [KB]: 723
% 0.15/0.33
% 0.15/0.33 % (29920)Time elapsed: 0.001 s
% 0.15/0.33 % (29917)Time elapsed: 0.002 s
% 0.15/0.33 % (29918)Memory used [KB]: 724
% 0.15/0.33 % (29917)Instructions burned: 2 (million)
% 0.15/0.33 % (29920)Instructions burned: 2 (million)
% 0.15/0.33 % (29918)Time elapsed: 0.002 s
% 0.15/0.33 % (29917)------------------------------
% 0.15/0.33 % (29917)------------------------------
% 0.15/0.33 % (29920)------------------------------
% 0.15/0.33 % (29920)------------------------------
% 0.15/0.33 % (29918)Instructions burned: 2 (million)
% 0.15/0.33 % (29918)------------------------------
% 0.15/0.33 % (29918)------------------------------
% 0.15/0.33 % (29923)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)
% 0.15/0.34 % (29926)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)
% 0.15/0.34 % (29925)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)
% 0.15/0.34 % (29924)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.34 % (29924)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.34 % (29924)Terminated due to inappropriate strategy.
% 0.15/0.34 % (29924)------------------------------
% 0.15/0.34 % (29924)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34 % (29924)Termination reason: Inappropriate
% 0.15/0.34
% 0.15/0.34 % (29924)Memory used [KB]: 723
% 0.15/0.34 % (29924)Time elapsed: 0.002 s
% 0.15/0.34 % (29924)Instructions burned: 2 (million)
% 0.15/0.34 % (29924)------------------------------
% 0.15/0.34 % (29924)------------------------------
% 0.15/0.36 % (29927)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)
% 0.15/0.41 % (29926)First to succeed.
% 0.15/0.41 % (29926)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (29926)------------------------------
% 0.15/0.41 % (29926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41 % (29926)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (29926)Memory used [KB]: 1569
% 0.15/0.41 % (29926)Time elapsed: 0.071 s
% 0.15/0.41 % (29926)Instructions burned: 135 (million)
% 0.15/0.41 % (29926)------------------------------
% 0.15/0.41 % (29926)------------------------------
% 0.15/0.41 % (29916)Success in time 0.099 s
%------------------------------------------------------------------------------