TSTP Solution File: NUM547+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM547+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 : n001.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 18:05:45 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 303 ( 46 equ)
% Maximal formula atoms : 43 ( 16 avg)
% Number of connectives : 389 ( 104 ~; 80 |; 170 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 79 ( 57 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,plain,
$false,
inference(resolution,[],[f353,f311]) ).
fof(f311,plain,
! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
& ( ( ( ( ~ aElementOf0(sK9(X0),xS)
& aElementOf0(sK9(X0),X0) )
| ~ aSet0(X0) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f116,f205]) ).
fof(f205,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK9(X0),xS)
& aElementOf0(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
& ( ( ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(X0) = xk
& ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) ) ) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(X0) = xk
& ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f353,plain,
aElementOf0(sK12,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ~ aSet0(X0)
| ( ~ aElementOf0(sK11(X0),xS)
& aElementOf0(sK11(X0),X0) ) ) )
| aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSet0(X0)
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xS) ) ) ) )
& aElementOf0(sK12,slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( ( xk != sbrdtbr0(X4)
| ( ( ~ aSet0(X4)
| ( aElementOf0(sK13(X4),X4)
& ~ aElementOf0(sK13(X4),xT) ) )
& ~ aSubsetOf0(X4,xT) )
| aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(X6,xT) )
& aSet0(X4)
& xk = sbrdtbr0(X4)
& aSubsetOf0(X4,xT) ) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,xS) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7)
& aSet0(X7) ) )
& ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ( ( aElementOf0(sK14(X7),X7)
& ~ aElementOf0(sK14(X7),xS) )
| ~ aSet0(X7) )
& ~ aSubsetOf0(X7,xS) )
| xk != sbrdtbr0(X7) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X10] :
( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| aElementOf0(X10,slbdtsldtrb0(xT,xk)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f217,f221,f220,f219,f218]) ).
fof(f218,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK11(X0),xS)
& aElementOf0(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
( ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK12,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X4] :
( ? [X5] :
( aElementOf0(X5,X4)
& ~ aElementOf0(X5,xT) )
=> ( aElementOf0(sK13(X4),X4)
& ~ aElementOf0(sK13(X4),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X7] :
( ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,xS) )
=> ( aElementOf0(sK14(X7),X7)
& ~ aElementOf0(sK14(X7),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) ) ) )
| aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSet0(X0)
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xS) ) ) ) )
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( ( xk != sbrdtbr0(X4)
| ( ( ~ aSet0(X4)
| ? [X5] :
( aElementOf0(X5,X4)
& ~ aElementOf0(X5,xT) ) )
& ~ aSubsetOf0(X4,xT) )
| aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(X6,xT) )
& aSet0(X4)
& xk = sbrdtbr0(X4)
& aSubsetOf0(X4,xT) ) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,xS) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7)
& aSet0(X7) ) )
& ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ( ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,xS) )
| ~ aSet0(X7) )
& ~ aSubsetOf0(X7,xS) )
| xk != sbrdtbr0(X7) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X10] :
( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| aElementOf0(X10,slbdtsldtrb0(xT,xk)) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) ) ) )
| aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSet0(X0)
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xS) ) ) ) )
& ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( sbrdtbr0(X3) != xk
| ( ( ~ aSet0(X3)
| ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xT) ) )
& ~ aSubsetOf0(X3,xT) )
| aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ! [X5] :
( ~ aElementOf0(X5,X3)
| aElementOf0(X5,xT) )
& aSet0(X3)
& sbrdtbr0(X3) = xk
& aSubsetOf0(X3,xT) ) ) )
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
| ( ! [X8] :
( ~ aElementOf0(X8,X6)
| aElementOf0(X8,xS) )
& aSubsetOf0(X6,xS)
& xk = sbrdtbr0(X6)
& aSet0(X6) ) )
& ( aElementOf0(X6,slbdtsldtrb0(xS,xk))
| ( ( ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,xS) )
| ~ aSet0(X6) )
& ~ aSubsetOf0(X6,xS) )
| xk != sbrdtbr0(X6) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X10] :
( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| aElementOf0(X10,slbdtsldtrb0(xT,xk)) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
( ! [X10] :
( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| aElementOf0(X10,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) ) ) ) )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSet0(X0)
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xS) ) ) ) )
& ! [X3] :
( ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X3) != xk
| ( ( ~ aSet0(X3)
| ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xT) ) )
& ~ aSubsetOf0(X3,xT) ) )
& ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ! [X5] :
( ~ aElementOf0(X5,X3)
| aElementOf0(X5,xT) )
& aSet0(X3)
& sbrdtbr0(X3) = xk
& aSubsetOf0(X3,xT) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
| ( ! [X8] :
( ~ aElementOf0(X8,X6)
| aElementOf0(X8,xS) )
& aSubsetOf0(X6,xS)
& xk = sbrdtbr0(X6)
& aSet0(X6) ) )
& ( aElementOf0(X6,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X6)
| ( ( ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,xS) )
| ~ aSet0(X6) )
& ~ aSubsetOf0(X6,xS) ) ) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
( ! [X10] :
( aElementOf0(X10,slbdtsldtrb0(xS,xk))
=> aElementOf0(X10,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSet0(X0)
& aSubsetOf0(X0,xS) ) ) )
& ! [X3] :
( ( ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,xT)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xT) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
=> ( ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xT) )
& aSubsetOf0(X3,xT)
& sbrdtbr0(X3) = xk
& aSet0(X3) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X6] :
( ( aElementOf0(X6,slbdtsldtrb0(xS,xk))
=> ( xk = sbrdtbr0(X6)
& ! [X8] :
( aElementOf0(X8,X6)
=> aElementOf0(X8,xS) )
& aSet0(X6)
& aSubsetOf0(X6,xS) ) )
& ( ( xk = sbrdtbr0(X6)
& ( ( ! [X7] :
( aElementOf0(X7,X6)
=> aElementOf0(X7,xS) )
& aSet0(X6) )
| aSubsetOf0(X6,xS) ) )
=> aElementOf0(X6,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
| slcrc0 = slbdtsldtrb0(xS,xk) ) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( aSet0(slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) ) ) )
& ! [X0] :
( ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) ) )
| aSubsetOf0(X0,xT) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( aSet0(X0)
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& sbrdtbr0(X0) = xk ) ) )
& ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0)
& sbrdtbr0(X0) = xk ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM547+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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 07:20:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (25460)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (25460)First to succeed.
% 0.19/0.47 % (25468)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.47 % (25460)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (25460)------------------------------
% 0.19/0.47 % (25460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (25460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (25460)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (25460)Memory used [KB]: 1279
% 0.19/0.47 % (25460)Time elapsed: 0.067 s
% 0.19/0.47 % (25460)Instructions burned: 11 (million)
% 0.19/0.47 % (25460)------------------------------
% 0.19/0.47 % (25460)------------------------------
% 0.19/0.47 % (25450)Success in time 0.123 s
%------------------------------------------------------------------------------