TSTP Solution File: SET804+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 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 18:22:19 EDT 2022
% Result : Theorem 1.73s 0.74s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 129 ( 20 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 129 ( 38 ~; 20 |; 50 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 101 ( 70 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(subsumption_resolution,[],[f107,f71]) ).
fof(f71,plain,
~ apply(sK1,sK2,sK3),
inference(unit_resulting_resolution,[],[f45,f43,f63,f41]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| ~ apply(X2,X3,X0)
| ~ member(X3,X1)
| ~ min(X0,X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ min(X0,X2,X1)
| ( ! [X3] :
( ~ member(X3,X1)
| X0 = X3
| ~ apply(X2,X3,X0) )
& member(X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ~ min(X2,X0,X1)
| ( ! [X3] :
( ~ member(X3,X1)
| X2 = X3
| ~ apply(X0,X3,X2) )
& member(X2,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( X2 = X3
| ~ member(X3,X1)
| ~ apply(X0,X3,X2) )
& member(X2,X1) )
| ~ min(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X1,X0] :
( min(X2,X0,X1)
=> ( ! [X3] :
( ( member(X3,X1)
& apply(X0,X3,X2) )
=> X2 = X3 )
& member(X2,X1) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( min(X2,X0,X1)
<=> ( ! [X3] :
( ( member(X3,X1)
& apply(X0,X3,X2) )
=> X2 = X3 )
& member(X2,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X5] :
( min(X5,X0,X1)
<=> ( member(X5,X1)
& ! [X2] :
( ( member(X2,X1)
& apply(X0,X2,X5) )
=> X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',min) ).
fof(f63,plain,
member(sK2,sK0),
inference(unit_resulting_resolution,[],[f44,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ min(X0,X2,X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f44,plain,
min(sK2,sK1,sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( order(sK1,sK0)
& min(sK3,sK1,sK0)
& min(sK2,sK1,sK0)
& sK2 != sK3
& least(sK4,sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f30,f33,f32,f31]) ).
fof(f31,plain,
( ? [X0,X1] :
( order(X1,X0)
& ? [X2,X3] :
( min(X3,X1,X0)
& min(X2,X1,X0)
& X2 != X3
& ? [X4] : least(X4,X1,X0) ) )
=> ( order(sK1,sK0)
& ? [X3,X2] :
( min(X3,sK1,sK0)
& min(X2,sK1,sK0)
& X2 != X3
& ? [X4] : least(X4,sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X3,X2] :
( min(X3,sK1,sK0)
& min(X2,sK1,sK0)
& X2 != X3
& ? [X4] : least(X4,sK1,sK0) )
=> ( min(sK3,sK1,sK0)
& min(sK2,sK1,sK0)
& sK2 != sK3
& ? [X4] : least(X4,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X4] : least(X4,sK1,sK0)
=> least(sK4,sK1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] :
( order(X1,X0)
& ? [X2,X3] :
( min(X3,X1,X0)
& min(X2,X1,X0)
& X2 != X3
& ? [X4] : least(X4,X1,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X0,X1] :
( order(X1,X0)
& ? [X3,X2] :
( min(X2,X1,X0)
& min(X3,X1,X0)
& X2 != X3
& ? [X4] : least(X4,X1,X0) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X0,X1] :
( ? [X3,X2] :
( ? [X4] : least(X4,X1,X0)
& min(X2,X1,X0)
& X2 != X3
& min(X3,X1,X0) )
& order(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X0,X1] :
( order(X1,X0)
=> ! [X3,X2] :
( ( min(X2,X1,X0)
& X2 != X3
& min(X3,X1,X0) )
=> ~ ? [X4] : least(X4,X1,X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0] :
( order(X0,X1)
=> ! [X7,X8] :
( ( X7 != X8
& min(X7,X0,X1)
& min(X8,X0,X1) )
=> ~ ? [X5] : least(X5,X0,X1) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0] :
( order(X0,X1)
=> ! [X7,X8] :
( ( X7 != X8
& min(X7,X0,X1)
& min(X8,X0,X1) )
=> ~ ? [X5] : least(X5,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV16) ).
fof(f43,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f34]) ).
fof(f45,plain,
min(sK3,sK1,sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f107,plain,
apply(sK1,sK2,sK3),
inference(backward_demodulation,[],[f80,f101]) ).
fof(f101,plain,
sK2 = sK4,
inference(unit_resulting_resolution,[],[f52,f44,f69,f41]) ).
fof(f69,plain,
apply(sK1,sK4,sK2),
inference(unit_resulting_resolution,[],[f42,f63,f35]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X1)
| apply(X2,X0,X3)
| ~ least(X0,X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ least(X0,X2,X1)
| ( member(X0,X1)
& ! [X3] :
( ~ member(X3,X1)
| apply(X2,X0,X3) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ least(X2,X1,X0)
| ( member(X2,X0)
& ! [X3] :
( ~ member(X3,X0)
| apply(X1,X2,X3) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( least(X2,X1,X0)
=> ( ! [X3] :
( member(X3,X0)
=> apply(X1,X2,X3) )
& member(X2,X0) ) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X2,X0,X1] :
( least(X2,X1,X0)
<=> ( ! [X3] :
( member(X3,X0)
=> apply(X1,X2,X3) )
& member(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X5] :
( ( member(X5,X1)
& ! [X2] :
( member(X2,X1)
=> apply(X0,X5,X2) ) )
<=> least(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',least) ).
fof(f42,plain,
least(sK4,sK1,sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
member(sK4,sK0),
inference(resolution,[],[f42,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ least(X0,X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f80,plain,
apply(sK1,sK4,sK3),
inference(unit_resulting_resolution,[],[f42,f67,f35]) ).
fof(f67,plain,
member(sK3,sK0),
inference(resolution,[],[f45,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % 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 : n016.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 14:43:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ipcrm: permission denied for id (764805120)
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% 0.20/0.53 ipcrm: permission denied for id (767131774)
% 1.25/0.73 % (25542)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 (2998ds/39Mi)
% 1.25/0.73 % (25542)First to succeed.
% 1.25/0.73 % (25547)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/16Mi)
% 1.25/0.73 % (25558)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/45Mi)
% 1.73/0.73 % (25550)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 (2998ds/7Mi)
% 1.73/0.73 % (25555)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.73/0.74 % (25542)Refutation found. Thanks to Tanya!
% 1.73/0.74 % SZS status Theorem for theBenchmark
% 1.73/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.74 % (25542)------------------------------
% 1.73/0.74 % (25542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.74 % (25542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.74 % (25542)Termination reason: Refutation
% 1.73/0.74
% 1.73/0.74 % (25542)Memory used [KB]: 6012
% 1.73/0.74 % (25542)Time elapsed: 0.129 s
% 1.73/0.74 % (25542)Instructions burned: 4 (million)
% 1.73/0.74 % (25542)------------------------------
% 1.73/0.74 % (25542)------------------------------
% 1.73/0.74 % (25368)Success in time 0.382 s
%------------------------------------------------------------------------------