TSTP Solution File: CSR077+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR077+2 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : Sun May 5 05:01:55 EDT 2024
% Result : Theorem 61.85s 9.75s
% Output : Refutation 61.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 139 ( 48 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 147 ( 52 ~; 55 |; 27 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129327,plain,
$false,
inference(resolution,[],[f129323,f58229]) ).
fof(f58229,plain,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(cnf_transformation,[],[f37982]) ).
fof(f37982,axiom,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f129323,plain,
~ s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(resolution,[],[f129318,f98561]) ).
fof(f98561,plain,
! [X1] :
( sP285(X1,X1)
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(equality_resolution,[],[f97222]) ).
fof(f97222,plain,
! [X0,X1] :
( sP285(X0,X1)
| X0 != X1
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(cnf_transformation,[],[f56742]) ).
fof(f56742,plain,
! [X0,X1] :
( ( sP285(X0,X1)
| ( ( minus("0",X1) != X0
| ~ s__instance(X1,s__NegativeRealNumber) )
& ( X0 != X1
| ~ s__instance(X1,s__NonnegativeRealNumber) ) ) )
& ( ( minus("0",X1) = X0
& s__instance(X1,s__NegativeRealNumber) )
| ( X0 = X1
& s__instance(X1,s__NonnegativeRealNumber) )
| ~ sP285(X0,X1) ) ),
inference(flattening,[],[f56741]) ).
fof(f56741,plain,
! [X0,X1] :
( ( sP285(X0,X1)
| ( ( minus("0",X1) != X0
| ~ s__instance(X1,s__NegativeRealNumber) )
& ( X0 != X1
| ~ s__instance(X1,s__NonnegativeRealNumber) ) ) )
& ( ( minus("0",X1) = X0
& s__instance(X1,s__NegativeRealNumber) )
| ( X0 = X1
& s__instance(X1,s__NonnegativeRealNumber) )
| ~ sP285(X0,X1) ) ),
inference(nnf_transformation,[],[f54241]) ).
fof(f54241,plain,
! [X0,X1] :
( sP285(X0,X1)
<=> ( ( minus("0",X1) = X0
& s__instance(X1,s__NegativeRealNumber) )
| ( X0 = X1
& s__instance(X1,s__NonnegativeRealNumber) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP285])]) ).
fof(f129318,plain,
! [X0] : ~ sP285(s__Number3_1,X0),
inference(resolution,[],[f129314,f97229]) ).
fof(f97229,plain,
! [X0,X1] :
( sP284(X0,X1)
| ~ sP285(X0,X1) ),
inference(cnf_transformation,[],[f56745]) ).
fof(f56745,plain,
! [X0,X1] :
( ( sP284(X0,X1)
| ~ sP285(X0,X1) )
& ( sP285(X0,X1)
| ~ sP284(X0,X1) ) ),
inference(nnf_transformation,[],[f54242]) ).
fof(f54242,plain,
! [X0,X1] :
( sP284(X0,X1)
<=> sP285(X0,X1) ),
inference(definition_folding,[],[f42403,f54241,f54240]) ).
fof(f54240,plain,
! [X0,X1] :
( sP284(X0,X1)
<=> ( s__instance(X0,s__RealNumber)
& s__instance(X1,s__RealNumber)
& s__AbsoluteValueFn(X1) = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP284])]) ).
fof(f42403,plain,
! [X0,X1] :
( ( s__instance(X0,s__RealNumber)
& s__instance(X1,s__RealNumber)
& s__AbsoluteValueFn(X1) = X0 )
<=> ( ( minus("0",X1) = X0
& s__instance(X1,s__NegativeRealNumber) )
| ( X0 = X1
& s__instance(X1,s__NonnegativeRealNumber) ) ) ),
inference(rectify,[],[f4433]) ).
fof(f4433,axiom,
! [X51,X52] :
( ( s__instance(X51,s__RealNumber)
& s__instance(X52,s__RealNumber)
& s__AbsoluteValueFn(X52) = X51 )
<=> ( ( minus("0",X52) = X51
& s__instance(X52,s__NegativeRealNumber) )
| ( X51 = X52
& s__instance(X52,s__NonnegativeRealNumber) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4445) ).
fof(f129314,plain,
! [X0] : ~ sP284(s__Number3_1,X0),
inference(resolution,[],[f129310,f97226]) ).
fof(f97226,plain,
! [X0,X1] :
( s__instance(X0,s__RealNumber)
| ~ sP284(X0,X1) ),
inference(cnf_transformation,[],[f56744]) ).
fof(f56744,plain,
! [X0,X1] :
( ( sP284(X0,X1)
| ~ s__instance(X0,s__RealNumber)
| ~ s__instance(X1,s__RealNumber)
| s__AbsoluteValueFn(X1) != X0 )
& ( ( s__instance(X0,s__RealNumber)
& s__instance(X1,s__RealNumber)
& s__AbsoluteValueFn(X1) = X0 )
| ~ sP284(X0,X1) ) ),
inference(flattening,[],[f56743]) ).
fof(f56743,plain,
! [X0,X1] :
( ( sP284(X0,X1)
| ~ s__instance(X0,s__RealNumber)
| ~ s__instance(X1,s__RealNumber)
| s__AbsoluteValueFn(X1) != X0 )
& ( ( s__instance(X0,s__RealNumber)
& s__instance(X1,s__RealNumber)
& s__AbsoluteValueFn(X1) = X0 )
| ~ sP284(X0,X1) ) ),
inference(nnf_transformation,[],[f54240]) ).
fof(f129310,plain,
~ s__instance(s__Number3_1,s__RealNumber),
inference(distinct_equality_removal,[],[f129309]) ).
fof(f129309,plain,
( "-1" = "0"
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(forward_demodulation,[],[f129308,f112609]) ).
fof(f112609,plain,
"-1" = s__SignumFn(s__Number3_1),
inference(resolution,[],[f112604,f58229]) ).
fof(f112604,plain,
( ~ s__instance(s__Number3_1,s__NonnegativeRealNumber)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f112600,f98561]) ).
fof(f112600,plain,
! [X0] :
( ~ sP285(s__Number3_1,X0)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f112596,f97229]) ).
fof(f112596,plain,
! [X0] :
( ~ sP284(s__Number3_1,X0)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f112584,f97226]) ).
fof(f112584,plain,
( ~ s__instance(s__Number3_1,s__RealNumber)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f91062,f57054]) ).
fof(f57054,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(cnf_transformation,[],[f37985]) ).
fof(f37985,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(flattening,[],[f37984]) ).
fof(f37984,negated_conjecture,
~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
inference(negated_conjecture,[],[f37983]) ).
fof(f37983,conjecture,
~ s__instance(s__Number3_1,s__NegativeRealNumber),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f91062,plain,
! [X0] :
( ~ s__instance(X0,s__NegativeRealNumber)
| "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f45437]) ).
fof(f45437,plain,
! [X0] :
( "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f45436]) ).
fof(f45436,plain,
! [X0] :
( "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f38993]) ).
fof(f38993,plain,
! [X0] :
( s__instance(X0,s__RealNumber)
=> ( s__instance(X0,s__NegativeRealNumber)
=> "-1" = s__SignumFn(X0) ) ),
inference(rectify,[],[f4598]) ).
fof(f4598,axiom,
! [X11] :
( s__instance(X11,s__RealNumber)
=> ( s__instance(X11,s__NegativeRealNumber)
=> "-1" = s__SignumFn(X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4610) ).
fof(f129308,plain,
( "0" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(distinct_equality_removal,[],[f129307]) ).
fof(f129307,plain,
( "1" = "-1"
| "0" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(forward_demodulation,[],[f129291,f112609]) ).
fof(f129291,plain,
( "1" = s__SignumFn(s__Number3_1)
| "0" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(resolution,[],[f91064,f58229]) ).
fof(f91064,plain,
! [X0] :
( ~ s__instance(X0,s__NonnegativeRealNumber)
| "1" = s__SignumFn(X0)
| "0" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f45441]) ).
fof(f45441,plain,
! [X0] :
( "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f45440]) ).
fof(f45440,plain,
! [X0] :
( "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f38995]) ).
fof(f38995,plain,
! [X0] :
( s__instance(X0,s__RealNumber)
=> ( s__instance(X0,s__NonnegativeRealNumber)
=> ( "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0) ) ) ),
inference(rectify,[],[f4596]) ).
fof(f4596,axiom,
! [X11] :
( s__instance(X11,s__RealNumber)
=> ( s__instance(X11,s__NonnegativeRealNumber)
=> ( "0" = s__SignumFn(X11)
| "1" = s__SignumFn(X11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4608) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR077+2 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:08:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21837)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.97 % (21844)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)
% 0.77/0.98 % (21840)WARNING: value z3 for option sas not known
% 0.77/0.98 % (21839)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.77/0.98 % (21838)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.77/0.98 % (21841)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.77/0.98 % (21840)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)
% 0.77/0.98 % (21842)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)
% 0.77/0.98 % (21843)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)
% 20.47/3.84 Detected minimum model sizes of [447]
% 20.47/3.84 Detected maximum model sizes of [max]
% 20.47/3.84 Cannot represent all propositional literals internally
% 20.47/3.84 % (21841)Refutation not found, incomplete strategy% (21841)------------------------------
% 20.47/3.84 % (21841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 20.47/3.84 % (21841)Termination reason: Refutation not found, incomplete strategy
% 20.47/3.84
% 20.47/3.84 % (21841)Memory used [KB]: 144336
% 20.47/3.84 % (21841)Time elapsed: 2.814 s
% 20.47/3.84 % (21841)Instructions burned: 7672 (million)
% 20.47/3.85 % (21841)------------------------------
% 20.47/3.85 % (21841)------------------------------
% 21.01/3.89 % (21852)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 22.07/4.08 Detected minimum model sizes of [447]
% 22.07/4.08 Detected maximum model sizes of [max]
% 22.07/4.08 Cannot represent all propositional literals internally
% 22.07/4.08 % (21839)Refutation not found, incomplete strategy% (21839)------------------------------
% 22.07/4.08 % (21839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.07/4.08 % (21839)Termination reason: Refutation not found, incomplete strategy
% 22.07/4.08
% 22.07/4.08 % (21839)Memory used [KB]: 146860
% 22.07/4.08 % (21839)Time elapsed: 3.081 s
% 22.07/4.08 % (21839)Instructions burned: 8112 (million)
% 22.07/4.10 % (21839)------------------------------
% 22.07/4.10 % (21839)------------------------------
% 22.70/4.13 % (21853)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)
% 36.85/6.18 Detected minimum model sizes of [447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447]
% 36.85/6.18 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,4,max,7,max,max]
% 36.85/6.18 Cannot represent all propositional literals internally
% 36.85/6.19 % (21852)Refutation not found, incomplete strategy% (21852)------------------------------
% 36.85/6.19 % (21852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 36.85/6.19 % (21852)Termination reason: Refutation not found, incomplete strategy
% 36.85/6.19
% 36.85/6.19 % (21852)Memory used [KB]: 131048
% 36.85/6.19 % (21852)Time elapsed: 2.298 s
% 36.85/6.19 % (21852)Instructions burned: 6140 (million)
% 36.85/6.19 % (21852)------------------------------
% 36.85/6.19 % (21852)------------------------------
% 36.85/6.21 % (21854)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)
% 42.09/6.90 Detected minimum model sizes of [447]
% 42.09/6.90 Detected maximum model sizes of [max]
% 42.09/6.90 Cannot represent all propositional literals internally
% 42.09/6.90 % (21838)Refutation not found, incomplete strategy% (21838)------------------------------
% 42.09/6.90 % (21838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 42.09/6.90 % (21838)Termination reason: Refutation not found, incomplete strategy
% 42.09/6.90
% 42.09/6.90 % (21838)Memory used [KB]: 289543
% 42.09/6.90 % (21838)Time elapsed: 5.925 s
% 42.09/6.90 % (21838)Instructions burned: 14071 (million)
% 42.09/6.93 % (21838)------------------------------
% 42.09/6.93 % (21838)------------------------------
% 42.09/6.97 % (21855)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)
% 61.58/9.72 % (21843)First to succeed.
% 61.58/9.73 % (21843)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21837"
% 61.85/9.75 % (21843)Refutation found. Thanks to Tanya!
% 61.85/9.75 % SZS status Theorem for theBenchmark
% 61.85/9.75 % SZS output start Proof for theBenchmark
% See solution above
% 61.85/9.75 % (21843)------------------------------
% 61.85/9.75 % (21843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 61.85/9.75 % (21843)Termination reason: Refutation
% 61.85/9.75
% 61.85/9.75 % (21843)Memory used [KB]: 87183
% 61.85/9.75 % (21843)Time elapsed: 8.748 s
% 61.85/9.75 % (21843)Instructions burned: 15345 (million)
% 61.85/9.75 % (21837)Success in time 9.36 s
%------------------------------------------------------------------------------