TSTP Solution File: NUM564+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM564+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 : n002.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 18:00:37 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 77 ( 11 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 95 ( 36 ~; 19 |; 30 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 21 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f477,plain,
$false,
inference(subsumption_resolution,[],[f422,f463]) ).
fof(f463,plain,
! [X1] : ~ aElementOf0(X1,slcrc0),
inference(equality_resolution,[],[f371]) ).
fof(f371,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK21(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f237,f238]) ).
fof(f238,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK21(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X2] : aElementOf0(X2,X0) ) ),
inference(rectify,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,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(f422,plain,
aElementOf0(sK29,slcrc0),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ! [X0] : ~ aElementOf0(X0,slcrc0)
& ~ aElementOf0(sK29,xS)
& aElementOf0(sK29,slcrc0)
& ~ aSubsetOf0(slcrc0,xS)
& aSet0(slcrc0)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f113,f266]) ).
fof(f266,plain,
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
=> ( ~ aElementOf0(sK29,xS)
& aElementOf0(sK29,slcrc0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ! [X0] : ~ aElementOf0(X0,slcrc0)
& ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& aSet0(slcrc0)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS) ) ),
inference(rectify,[],[f80]) ).
fof(f80,negated_conjecture,
~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aSubsetOf0(slcrc0,xS)
| ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
inference(negated_conjecture,[],[f79]) ).
fof(f79,conjecture,
( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aSubsetOf0(slcrc0,xS)
| ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM564+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 07:19:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (7327)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (7334)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)
% 0.19/0.51 % (7327)First to succeed.
% 0.19/0.51 % (7328)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (7330)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 % (7329)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (7328)Instruction limit reached!
% 0.19/0.51 % (7328)------------------------------
% 0.19/0.51 % (7328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7328)Termination reason: Unknown
% 0.19/0.51 % (7328)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (7328)Memory used [KB]: 1535
% 0.19/0.51 % (7328)Time elapsed: 0.003 s
% 0.19/0.51 % (7328)Instructions burned: 3 (million)
% 0.19/0.51 % (7328)------------------------------
% 0.19/0.51 % (7328)------------------------------
% 0.19/0.51 % (7335)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)
% 0.19/0.51 % (7341)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (7343)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (7352)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (7343)Instruction limit reached!
% 0.19/0.52 % (7343)------------------------------
% 0.19/0.52 % (7343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7343)Termination reason: Unknown
% 0.19/0.52 % (7343)Termination phase: Naming
% 0.19/0.52
% 0.19/0.52 % (7343)Memory used [KB]: 1535
% 0.19/0.52 % (7343)Time elapsed: 0.004 s
% 0.19/0.52 % (7343)Instructions burned: 3 (million)
% 0.19/0.52 % (7343)------------------------------
% 0.19/0.52 % (7343)------------------------------
% 0.19/0.52 % (7327)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 % (7327)------------------------------
% 0.19/0.52 % (7327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7327)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (7327)Memory used [KB]: 6396
% 0.19/0.52 % (7327)Time elapsed: 0.010 s
% 0.19/0.52 % (7327)Instructions burned: 11 (million)
% 0.19/0.52 % (7327)------------------------------
% 0.19/0.52 % (7327)------------------------------
% 0.19/0.52 % (7315)Success in time 0.169 s
%------------------------------------------------------------------------------