TSTP Solution File: NUM891_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM891_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 : n017.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 : Sun May 5 08:43:02 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 125 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 130 ( 57 ~; 61 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 142 ( 36 atm; 33 fun; 42 num; 31 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 28 !; 3 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f2207,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f30,f33,f2112,f2115,f2206]) ).
tff(f2206,plain,
( ~ spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f2205]) ).
tff(f2205,plain,
( $false
| ~ spl1_1
| spl1_4 ),
inference(subsumption_resolution,[],[f2204,f216]) ).
tff(f216,plain,
( ~ $less(sK0,1)
| spl1_4 ),
inference(avatar_component_clause,[],[f214]) ).
tff(f214,plain,
( spl1_4
<=> $less(sK0,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f2204,plain,
( $less(sK0,1)
| ~ spl1_1 ),
inference(evaluation,[],[f2203]) ).
tff(f2203,plain,
( $less(sK0,$sum(0,1))
| ~ spl1_1 ),
inference(resolution,[],[f2114,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f2114,plain,
( ~ $less(0,sK0)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f2102,f77]) ).
tff(f77,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f9,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f2102,plain,
( $less(sK0,0)
| ~ $less(0,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f525,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f525,plain,
( ! [X0: $int] :
( $less($sum(sK0,X0),0)
| ~ $less(X0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f186,f35]) ).
tff(f35,plain,
( ( 0 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f23]) ).
tff(f23,plain,
( ( sK0 = $uminus(sK0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f22,plain,
( spl1_1
<=> ( sK0 = $uminus(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f186,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f2115,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f2039,f22,f214,f210]) ).
tff(f210,plain,
( spl1_3
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f2039,plain,
( ~ $less(sK0,1)
| ~ $less(sK0,0)
| ~ spl1_1 ),
inference(resolution,[],[f188,f55]) ).
tff(f55,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f188,plain,
( ! [X0: $int] :
( $less(0,$sum(X0,sK0))
| ~ $less(sK0,X0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f35]) ).
tff(f2112,plain,
( ~ spl1_1
| spl1_2
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f2111]) ).
tff(f2111,plain,
( $false
| ~ spl1_1
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f2110,f1785]) ).
tff(f1785,plain,
( $less(0,sK0)
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f1782,f28]) ).
tff(f28,plain,
( ( 0 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f26,plain,
( spl1_2
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f1782,plain,
( $less(0,sK0)
| ( 0 = sK0 )
| spl1_3 ),
inference(resolution,[],[f212,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f212,plain,
( ~ $less(sK0,0)
| spl1_3 ),
inference(avatar_component_clause,[],[f210]) ).
tff(f2110,plain,
( ~ $less(0,sK0)
| ~ spl1_1
| spl1_3 ),
inference(subsumption_resolution,[],[f2102,f212]) ).
tff(f33,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f32]) ).
tff(f32,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f31]) ).
tff(f31,plain,
( ( 0 != $uminus(0) )
| spl1_1
| ~ spl1_2 ),
inference(forward_demodulation,[],[f24,f27]) ).
tff(f27,plain,
( ( 0 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f24,plain,
( ( sK0 != $uminus(sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f30,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f19,f26,f22]) ).
tff(f19,plain,
( ( 0 = sK0 )
| ( sK0 = $uminus(sK0) ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( ( 0 != sK0 )
| ( sK0 != $uminus(sK0) ) )
& ( ( 0 = sK0 )
| ( sK0 = $uminus(sK0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( ( 0 != X0 )
| ( $uminus(X0) != X0 ) )
& ( ( 0 = X0 )
| ( $uminus(X0) = X0 ) ) )
=> ( ( ( 0 != sK0 )
| ( sK0 != $uminus(sK0) ) )
& ( ( 0 = sK0 )
| ( sK0 = $uminus(sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( ( 0 != X0 )
| ( $uminus(X0) != X0 ) )
& ( ( 0 = X0 )
| ( $uminus(X0) = X0 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( $uminus(X0) = X0 )
<~> ( 0 = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $uminus(X0) = X0 )
<=> ( 0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $uminus(X0) = X0 )
<=> ( 0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uminus_equal) ).
tff(f29,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
tff(f20,plain,
( ( 0 != sK0 )
| ( sK0 != $uminus(sK0) ) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM891_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
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 13:47:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (3571)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (3574)WARNING: value z3 for option sas not known
% 0.13/0.38 % (3573)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (3576)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)
% 0.13/0.38 % (3572)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (3578)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)
% 0.13/0.38 % (3575)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (3577)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)
% 0.13/0.38 % (3574)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)
% 0.13/0.38 % (3572)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (3575)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (3573)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (3572)Terminated due to inappropriate strategy.
% 0.13/0.38 % (3572)------------------------------
% 0.13/0.38 % (3572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (3575)Terminated due to inappropriate strategy.
% 0.13/0.38 % (3575)------------------------------
% 0.13/0.38 % (3575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (3572)Termination reason: Inappropriate
% 0.13/0.38 % (3575)Termination reason: Inappropriate
% 0.13/0.38 % (3573)Terminated due to inappropriate strategy.
% 0.13/0.38 % (3573)------------------------------
% 0.13/0.38 % (3573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (3572)Memory used [KB]: 723
% 0.13/0.38 % (3575)Memory used [KB]: 723
% 0.13/0.38 % (3573)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (3572)Time elapsed: 0.003 s
% 0.13/0.38 % (3575)Time elapsed: 0.002 s
% 0.13/0.38 % (3573)Memory used [KB]: 723
% 0.13/0.38 % (3573)Time elapsed: 0.003 s
% 0.13/0.38 % (3572)Instructions burned: 2 (million)
% 0.13/0.38 % (3573)Instructions burned: 2 (million)
% 0.13/0.38 % (3575)Instructions burned: 2 (million)
% 0.13/0.38 % (3573)------------------------------
% 0.13/0.38 % (3573)------------------------------
% 0.13/0.38 % (3572)------------------------------
% 0.13/0.38 % (3572)------------------------------
% 0.13/0.38 % (3575)------------------------------
% 0.13/0.38 % (3575)------------------------------
% 0.21/0.39 % (3587)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)
% 0.21/0.39 % (3586)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.39 % (3588)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)
% 0.21/0.39 % (3586)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.39 % (3586)Terminated due to inappropriate strategy.
% 0.21/0.39 % (3586)------------------------------
% 0.21/0.39 % (3586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (3586)Termination reason: Inappropriate
% 0.21/0.39
% 0.21/0.39 % (3586)Memory used [KB]: 723
% 0.21/0.39 % (3586)Time elapsed: 0.002 s
% 0.21/0.39 % (3586)Instructions burned: 2 (million)
% 0.21/0.39 % (3586)------------------------------
% 0.21/0.39 % (3586)------------------------------
% 0.21/0.41 % (3594)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)
% 0.21/0.50 % (3588)First to succeed.
% 0.21/0.50 % (3588)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3571"
% 0.21/0.50 % (3588)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (3588)------------------------------
% 0.21/0.50 % (3588)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.50 % (3588)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (3588)Memory used [KB]: 1686
% 0.21/0.50 % (3588)Time elapsed: 0.104 s
% 0.21/0.50 % (3588)Instructions burned: 180 (million)
% 0.21/0.50 % (3571)Success in time 0.136 s
%------------------------------------------------------------------------------