TSTP Solution File: NUM549+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM549+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 18:05:46 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 7 unt; 0 def)
% Number of atoms : 146 ( 39 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 147 ( 56 ~; 52 |; 25 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 29 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f664,plain,
$false,
inference(avatar_sat_refutation,[],[f436,f437,f570,f584,f656,f663]) ).
fof(f663,plain,
( ~ spl23_3
| ~ spl23_10 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl23_3
| ~ spl23_10 ),
inference(subsumption_resolution,[],[f658,f247]) ).
fof(f247,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( aSet0(xT)
& sz00 != xk
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f658,plain,
( sz00 = xk
| ~ spl23_3
| ~ spl23_10 ),
inference(backward_demodulation,[],[f435,f606]) ).
fof(f606,plain,
( xk = sbrdtbr0(slcrc0)
| ~ spl23_10 ),
inference(backward_demodulation,[],[f256,f569]) ).
fof(f569,plain,
( slcrc0 = xQ
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl23_10
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f256,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& xk = sbrdtbr0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f435,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl23_3
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f656,plain,
( spl23_12
| ~ spl23_9 ),
inference(avatar_split_clause,[],[f643,f563,f581]) ).
fof(f581,plain,
( spl23_12
<=> aElement0(sK4(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f563,plain,
( spl23_9
<=> aElementOf0(sK4(xQ),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f643,plain,
( aElement0(sK4(xQ))
| ~ spl23_9 ),
inference(subsumption_resolution,[],[f640,f246]) ).
fof(f246,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f640,plain,
( ~ aSet0(xS)
| aElement0(sK4(xQ))
| ~ spl23_9 ),
inference(resolution,[],[f565,f351]) ).
fof(f351,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f565,plain,
( aElementOf0(sK4(xQ),xS)
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f584,plain,
( ~ spl23_12
| spl23_10 ),
inference(avatar_split_clause,[],[f579,f567,f581]) ).
fof(f579,plain,
( slcrc0 = xQ
| ~ aElement0(sK4(xQ)) ),
inference(subsumption_resolution,[],[f531,f258]) ).
fof(f258,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f531,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| ~ aElement0(sK4(xQ)) ),
inference(resolution,[],[f252,f249]) ).
fof(f249,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f252,plain,
! [X0] :
( aElementOf0(sK4(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f179,f180]) ).
fof(f180,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X2] : aElementOf0(X2,X0) ) ),
inference(rectify,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f570,plain,
( spl23_9
| spl23_10 ),
inference(avatar_split_clause,[],[f561,f567,f563]) ).
fof(f561,plain,
( slcrc0 = xQ
| aElementOf0(sK4(xQ),xS) ),
inference(subsumption_resolution,[],[f530,f258]) ).
fof(f530,plain,
( slcrc0 = xQ
| aElementOf0(sK4(xQ),xS)
| ~ aSet0(xQ) ),
inference(resolution,[],[f252,f386]) ).
fof(f386,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( aSet0(xQ)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) )
& aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& aSubsetOf0(xQ,xS)
& xk = sbrdtbr0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ)
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f437,plain,
spl23_1,
inference(avatar_split_clause,[],[f392,f424]) ).
fof(f424,plain,
( spl23_1
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f392,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f254]) ).
fof(f254,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f436,plain,
( ~ spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f399,f433,f424]) ).
fof(f399,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f270]) ).
fof(f270,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) )
& ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM549+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 07:03:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (16273)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (16289)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (16281)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (16273)Instruction limit reached!
% 0.19/0.51 % (16273)------------------------------
% 0.19/0.51 % (16273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16273)Termination reason: Unknown
% 0.19/0.51 % (16273)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (16273)Memory used [KB]: 1023
% 0.19/0.51 % (16273)Time elapsed: 0.005 s
% 0.19/0.51 % (16273)Instructions burned: 3 (million)
% 0.19/0.51 % (16273)------------------------------
% 0.19/0.51 % (16273)------------------------------
% 0.19/0.51 % (16272)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (16269)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (16280)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (16267)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (16265)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (16281)First to succeed.
% 0.19/0.53 % (16287)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (16295)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (16281)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (16281)------------------------------
% 0.19/0.53 % (16281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16281)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (16281)Memory used [KB]: 5884
% 0.19/0.53 % (16281)Time elapsed: 0.126 s
% 0.19/0.53 % (16281)Instructions burned: 15 (million)
% 0.19/0.53 % (16281)------------------------------
% 0.19/0.53 % (16281)------------------------------
% 0.19/0.53 % (16264)Success in time 0.18 s
%------------------------------------------------------------------------------