TSTP Solution File: NUM550+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM550+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_uns --cores 0 -t %d %s
% Computer : n003.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 18:00:31 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 57 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 22 ~; 11 |; 17 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,plain,
$false,
inference(avatar_sat_refutation,[],[f456,f457]) ).
fof(f457,plain,
spl19_1,
inference(avatar_split_clause,[],[f307,f444]) ).
fof(f444,plain,
( spl19_1
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f307,plain,
aSet0(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(f456,plain,
~ spl19_1,
inference(avatar_split_clause,[],[f455,f444]) ).
fof(f455,plain,
~ aSet0(xQ),
inference(subsumption_resolution,[],[f454,f357]) ).
fof(f357,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f454,plain,
( sz00 = xk
| ~ aSet0(xQ) ),
inference(forward_demodulation,[],[f420,f349]) ).
fof(f349,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( xk = sbrdtbr0(xQ)
& aSet0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aSubsetOf0(xQ,xS)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f420,plain,
( ~ aSet0(xQ)
| sz00 = sbrdtbr0(xQ) ),
inference(equality_resolution,[],[f403]) ).
fof(f403,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| xQ != X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f254,f339]) ).
fof(f339,plain,
slcrc0 = xQ,
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( slcrc0 = xQ
& ! [X0] : ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
( slcrc0 = xQ
& ~ ? [X0] : aElementOf0(X0,xQ) ),
inference(flattening,[],[f68]) ).
fof(f68,negated_conjecture,
~ ~ ( slcrc0 = xQ
& ~ ? [X0] : aElementOf0(X0,xQ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
~ ( slcrc0 = xQ
& ~ ? [X0] : aElementOf0(X0,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f254,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) )
& ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,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
% 0.06/0.12 % Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 07:00:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (28534)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (28526)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49 % (28518)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (28534)First to succeed.
% 0.19/0.50 % (28522)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (28535)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (28540)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (28532)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (28542)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (28532)Instruction limit reached!
% 0.19/0.52 % (28532)------------------------------
% 0.19/0.52 % (28532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28532)Termination reason: Unknown
% 0.19/0.52 % (28532)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (28532)Memory used [KB]: 1535
% 0.19/0.52 % (28532)Time elapsed: 0.004 s
% 0.19/0.52 % (28532)Instructions burned: 3 (million)
% 0.19/0.52 % (28532)------------------------------
% 0.19/0.52 % (28532)------------------------------
% 0.19/0.52 % (28527)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (28534)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (28534)------------------------------
% 0.19/0.52 % (28534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28534)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (28534)Memory used [KB]: 6396
% 0.19/0.52 % (28534)Time elapsed: 0.013 s
% 0.19/0.52 % (28534)Instructions burned: 12 (million)
% 0.19/0.52 % (28534)------------------------------
% 0.19/0.52 % (28534)------------------------------
% 0.19/0.52 % (28517)Success in time 0.177 s
%------------------------------------------------------------------------------