TSTP Solution File: NUM547+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM547+1 : 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 : n016.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 18:00:30 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 170 ( 51 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 215 ( 77 ~; 73 |; 51 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 66 ( 55 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f453,plain,
$false,
inference(subsumption_resolution,[],[f450,f391]) ).
fof(f391,plain,
aSet0(slbdtsldtrb0(xS,xk)),
inference(unit_resulting_resolution,[],[f222,f286,f331]) ).
fof(f331,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK6(X0,X1,X2),X2)
| sbrdtbr0(sK6(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK6(X0,X1,X2),X0) )
& ( aElementOf0(sK6(X0,X1,X2),X2)
| ( sbrdtbr0(sK6(X0,X1,X2)) = X1
& aSubsetOf0(sK6(X0,X1,X2),X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) ) )
=> ( ( ~ aElementOf0(sK6(X0,X1,X2),X2)
| sbrdtbr0(sK6(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK6(X0,X1,X2),X0) )
& ( aElementOf0(sK6(X0,X1,X2),X2)
| ( sbrdtbr0(sK6(X0,X1,X2)) = X1
& aSubsetOf0(sK6(X0,X1,X2),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) ) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ! [X2] :
( ( slbdtsldtrb0(X1,X0) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) ) ) )
| slbdtsldtrb0(X1,X0) != X2 ) ) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ! [X2] :
( ( slbdtsldtrb0(X1,X0) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) ) ) )
| slbdtsldtrb0(X1,X0) != X2 ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ! [X2] :
( slbdtsldtrb0(X1,X0) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
<=> aElementOf0(X3,X2) ) ) ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X1,X0) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
<=> aElementOf0(X3,X2) ) ) )
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( aSet0(X1)
& aElementOf0(X0,szNzAzT0) )
=> ! [X2] :
( slbdtsldtrb0(X1,X0) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
<=> aElementOf0(X3,X2) ) ) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) )
<=> slbdtsldtrb0(X0,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f286,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f222,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xS)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f450,plain,
~ aSet0(slbdtsldtrb0(xS,xk)),
inference(unit_resulting_resolution,[],[f234,f239,f229]) ).
fof(f229,plain,
! [X0] :
( aElementOf0(sK4(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,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])],[f166,f167]) ).
fof(f167,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X2] : aElementOf0(X2,X0) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,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(f239,plain,
slcrc0 != slbdtsldtrb0(xS,xk),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
( slcrc0 != slbdtsldtrb0(xS,xk)
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(f234,plain,
! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(ennf_transformation,[],[f66]) ).
fof(f66,negated_conjecture,
~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM547+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % 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 : n016.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 07:21:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (12452)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)
% 0.18/0.50 % (12459)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)
% 0.18/0.50 % (12459)First to succeed.
% 0.18/0.51 % (12461)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (12461)Instruction limit reached!
% 0.18/0.51 % (12461)------------------------------
% 0.18/0.51 % (12461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12452)Instruction limit reached!
% 0.18/0.51 % (12452)------------------------------
% 0.18/0.51 % (12452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12452)Termination reason: Unknown
% 0.18/0.51 % (12452)Termination phase: Preprocessing 3
% 0.18/0.51
% 0.18/0.51 % (12452)Memory used [KB]: 1535
% 0.18/0.51 % (12452)Time elapsed: 0.004 s
% 0.18/0.51 % (12452)Instructions burned: 3 (million)
% 0.18/0.51 % (12452)------------------------------
% 0.18/0.51 % (12452)------------------------------
% 0.18/0.51 % (12464)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)
% 0.18/0.51 % (12461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12461)Termination reason: Unknown
% 0.18/0.51 % (12461)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (12461)Memory used [KB]: 6140
% 0.18/0.51 % (12461)Time elapsed: 0.006 s
% 0.18/0.51 % (12461)Instructions burned: 8 (million)
% 0.18/0.51 % (12461)------------------------------
% 0.18/0.51 % (12461)------------------------------
% 0.18/0.52 % (12450)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (12464)Instruction limit reached!
% 0.18/0.52 % (12464)------------------------------
% 0.18/0.52 % (12464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (12464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (12464)Termination reason: Unknown
% 0.18/0.52 % (12464)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (12464)Memory used [KB]: 1535
% 0.18/0.52 % (12464)Time elapsed: 0.003 s
% 0.18/0.52 % (12464)Instructions burned: 3 (million)
% 0.18/0.52 % (12464)------------------------------
% 0.18/0.52 % (12464)------------------------------
% 0.18/0.52 % (12467)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (12454)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)
% 0.18/0.52 % (12477)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (12455)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (12469)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.52 % (12457)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52 % (12467)Instruction limit reached!
% 0.18/0.52 % (12467)------------------------------
% 0.18/0.52 % (12467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (12467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (12467)Termination reason: Unknown
% 0.18/0.52 % (12467)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (12467)Memory used [KB]: 1535
% 0.18/0.52 % (12467)Time elapsed: 0.003 s
% 0.18/0.52 % (12467)Instructions burned: 3 (million)
% 0.18/0.52 % (12467)------------------------------
% 0.18/0.52 % (12467)------------------------------
% 0.18/0.52 % (12459)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (12459)------------------------------
% 0.18/0.52 % (12459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (12459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (12459)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (12459)Memory used [KB]: 6396
% 0.18/0.52 % (12459)Time elapsed: 0.118 s
% 0.18/0.52 % (12459)Instructions burned: 15 (million)
% 0.18/0.52 % (12459)------------------------------
% 0.18/0.52 % (12459)------------------------------
% 0.18/0.52 % (12449)Success in time 0.177 s
%------------------------------------------------------------------------------