TSTP Solution File: CSR077+5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR077+5 : 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 : n026.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 05:01:56 EDT 2024
% Result : Theorem 78.15s 11.93s
% Output : Refutation 78.15s
% 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(f90218,plain,
$false,
inference(resolution,[],[f90214,f41269]) ).
fof(f41269,plain,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(cnf_transformation,[],[f16749]) ).
fof(f16749,axiom,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f90214,plain,
~ s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(resolution,[],[f90209,f56095]) ).
fof(f56095,plain,
! [X1] :
( sP285(X1,X1)
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(equality_resolution,[],[f54756]) ).
fof(f54756,plain,
! [X0,X1] :
( sP285(X0,X1)
| X0 != X1
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(cnf_transformation,[],[f35509]) ).
fof(f35509,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,[],[f35508]) ).
fof(f35508,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,[],[f33008]) ).
fof(f33008,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(f90209,plain,
! [X0] : ~ sP285(s__Number3_1,X0),
inference(resolution,[],[f90205,f54763]) ).
fof(f54763,plain,
! [X0,X1] :
( sP284(X0,X1)
| ~ sP285(X0,X1) ),
inference(cnf_transformation,[],[f35512]) ).
fof(f35512,plain,
! [X0,X1] :
( ( sP284(X0,X1)
| ~ sP285(X0,X1) )
& ( sP285(X0,X1)
| ~ sP284(X0,X1) ) ),
inference(nnf_transformation,[],[f33009]) ).
fof(f33009,plain,
! [X0,X1] :
( sP284(X0,X1)
<=> sP285(X0,X1) ),
inference(definition_folding,[],[f21170,f33008,f33007]) ).
fof(f33007,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(f21170,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(f90205,plain,
! [X0] : ~ sP284(s__Number3_1,X0),
inference(resolution,[],[f90201,f54760]) ).
fof(f54760,plain,
! [X0,X1] :
( s__instance(X0,s__RealNumber)
| ~ sP284(X0,X1) ),
inference(cnf_transformation,[],[f35511]) ).
fof(f35511,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,[],[f35510]) ).
fof(f35510,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,[],[f33007]) ).
fof(f90201,plain,
~ s__instance(s__Number3_1,s__RealNumber),
inference(distinct_equality_removal,[],[f90200]) ).
fof(f90200,plain,
( "-1" = "0"
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(forward_demodulation,[],[f90199,f66264]) ).
fof(f66264,plain,
"-1" = s__SignumFn(s__Number3_1),
inference(resolution,[],[f66259,f41269]) ).
fof(f66259,plain,
( ~ s__instance(s__Number3_1,s__NonnegativeRealNumber)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f66255,f56095]) ).
fof(f66255,plain,
! [X0] :
( ~ sP285(s__Number3_1,X0)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f66251,f54763]) ).
fof(f66251,plain,
! [X0] :
( ~ sP284(s__Number3_1,X0)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f66239,f54760]) ).
fof(f66239,plain,
( ~ s__instance(s__Number3_1,s__RealNumber)
| "-1" = s__SignumFn(s__Number3_1) ),
inference(resolution,[],[f48776,f35821]) ).
fof(f35821,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(cnf_transformation,[],[f16752]) ).
fof(f16752,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(flattening,[],[f16751]) ).
fof(f16751,negated_conjecture,
~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
inference(negated_conjecture,[],[f16750]) ).
fof(f16750,conjecture,
~ s__instance(s__Number3_1,s__NegativeRealNumber),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f48776,plain,
! [X0] :
( ~ s__instance(X0,s__NegativeRealNumber)
| "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f24314]) ).
fof(f24314,plain,
! [X0] :
( "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f24313]) ).
fof(f24313,plain,
! [X0] :
( "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f17821]) ).
fof(f17821,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(f90199,plain,
( "0" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(distinct_equality_removal,[],[f90198]) ).
fof(f90198,plain,
( "1" = "-1"
| "0" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(forward_demodulation,[],[f90182,f66264]) ).
fof(f90182,plain,
( "1" = s__SignumFn(s__Number3_1)
| "0" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(resolution,[],[f48777,f41269]) ).
fof(f48777,plain,
! [X0] :
( ~ s__instance(X0,s__NonnegativeRealNumber)
| "1" = s__SignumFn(X0)
| "0" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f24316]) ).
fof(f24316,plain,
! [X0] :
( "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f24315]) ).
fof(f24315,plain,
! [X0] :
( "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0)
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f17822]) ).
fof(f17822,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
% 0.03/0.13 % Problem : CSR077+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.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 20:10:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.36 % (27224)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (27225)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.59/0.80 % (27227)WARNING: value z3 for option sas not known
% 0.59/0.80 % (27231)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)
% 0.59/0.80 % (27227)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)
% 0.59/0.80 % (27232)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)
% 0.59/0.80 % (27228)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.59/0.80 % (27230)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)
% 0.59/0.80 % (27226)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 17.88/3.31 Detected minimum model sizes of [447]
% 17.88/3.31 Detected maximum model sizes of [max]
% 17.88/3.31 Cannot represent all propositional literals internally
% 17.88/3.32 % (27228)Refutation not found, incomplete strategy% (27228)------------------------------
% 17.88/3.32 % (27228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 17.88/3.32 % (27228)Termination reason: Refutation not found, incomplete strategy
% 17.88/3.32
% 17.88/3.32 % (27228)Memory used [KB]: 130698
% 17.88/3.32 % (27228)Time elapsed: 2.513 s
% 17.88/3.32 % (27228)Instructions burned: 6573 (million)
% 18.26/3.32 % (27228)------------------------------
% 18.26/3.32 % (27228)------------------------------
% 18.26/3.36 % (27233)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 18.57/3.42 Detected minimum model sizes of [447]
% 18.57/3.42 Detected maximum model sizes of [max]
% 18.57/3.42 Cannot represent all propositional literals internally
% 18.57/3.43 % (27226)Refutation not found, incomplete strategy% (27226)------------------------------
% 18.57/3.43 % (27226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.57/3.43 % (27226)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.43
% 18.57/3.43 % (27226)Memory used [KB]: 132198
% 18.57/3.43 % (27226)Time elapsed: 2.622 s
% 18.57/3.43 % (27226)Instructions burned: 6955 (million)
% 18.57/3.44 % (27226)------------------------------
% 18.57/3.44 % (27226)------------------------------
% 19.06/3.47 % (27234)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)
% 33.07/5.48 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]
% 33.07/5.48 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]
% 33.07/5.48 Cannot represent all propositional literals internally
% 33.07/5.48 % (27233)Refutation not found, incomplete strategy% (27233)------------------------------
% 33.07/5.48 % (27233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.07/5.48 % (27233)Termination reason: Refutation not found, incomplete strategy
% 33.07/5.48
% 33.07/5.48 % (27233)Memory used [KB]: 118962
% 33.07/5.48 % (27233)Time elapsed: 2.127 s
% 33.07/5.48 % (27233)Instructions burned: 5382 (million)
% 33.07/5.49 % (27233)------------------------------
% 33.07/5.49 % (27233)------------------------------
% 33.07/5.52 % (27235)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)
% 33.66/5.59 Detected minimum model sizes of [447]
% 33.66/5.59 Detected maximum model sizes of [max]
% 33.66/5.59 Cannot represent all propositional literals internally
% 33.66/5.59 % (27225)Refutation not found, incomplete strategy% (27225)------------------------------
% 33.66/5.59 % (27225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.66/5.59 % (27225)Termination reason: Refutation not found, incomplete strategy
% 33.66/5.59
% 33.66/5.59 % (27225)Memory used [KB]: 268789
% 33.66/5.59 % (27225)Time elapsed: 4.751 s
% 33.66/5.59 % (27225)Instructions burned: 12917 (million)
% 34.07/5.61 % (27225)------------------------------
% 34.07/5.61 % (27225)------------------------------
% 34.07/5.66 % (27236)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)
% 78.15/11.91 % (27231)First to succeed.
% 78.15/11.91 % (27231)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27224"
% 78.15/11.93 % (27231)Refutation found. Thanks to Tanya!
% 78.15/11.93 % SZS status Theorem for theBenchmark
% 78.15/11.93 % SZS output start Proof for theBenchmark
% See solution above
% 78.15/11.93 % (27231)------------------------------
% 78.15/11.93 % (27231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 78.15/11.93 % (27231)Termination reason: Refutation
% 78.15/11.93
% 78.15/11.93 % (27231)Memory used [KB]: 74213
% 78.15/11.93 % (27231)Time elapsed: 11.113 s
% 78.15/11.93 % (27231)Instructions burned: 21531 (million)
% 78.15/11.93 % (27224)Success in time 11.522 s
%------------------------------------------------------------------------------