TSTP Solution File: NUM405+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:21:59 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 104 ( 44 ~; 37 |; 15 &)
% ( 2 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 46 ( 37 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(subsumption_resolution,[],[f250,f196]) ).
fof(f196,plain,
! [X0] : ordinal(sK1(sK3(X0))),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ordinal(sK1(sK3(X0)))
| ordinal(sK1(sK3(X0))) ),
inference(resolution,[],[f121,f125]) ).
fof(f125,plain,
! [X2,X0] :
( ~ in(X2,sK3(X0))
| ordinal(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X2] :
( ( in(X2,sK3(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,sK3(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f69,f70]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,X1) ) )
=> ! [X2] :
( ( in(X2,sK3(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,sK3(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,X1) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ordinal(X2)
& in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_43__ordinal1) ).
fof(f121,plain,
! [X0] :
( in(sK1(X0),X0)
| ordinal(sK1(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ~ ordinal(sK1(X0))
| ~ in(sK1(X0),X0) )
& ( ordinal(sK1(X0))
| in(sK1(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f63,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ( ~ ordinal(X1)
| ~ in(X1,X0) )
& ( ordinal(X1)
| in(X1,X0) ) )
=> ( ( ~ ordinal(sK1(X0))
| ~ in(sK1(X0),X0) )
& ( ordinal(sK1(X0))
| in(sK1(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
? [X1] :
( ( ~ ordinal(X1)
| ~ in(X1,X0) )
& ( ordinal(X1)
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
? [X1] :
( in(X1,X0)
<~> ordinal(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
~ ! [X1] :
( in(X1,X0)
<=> ordinal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).
fof(f250,plain,
~ ordinal(sK1(sK3(sK0))),
inference(resolution,[],[f249,f98]) ).
fof(f98,plain,
! [X1] :
( in(X1,sK0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1] :
( in(X1,sK0)
| ~ ordinal(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f61]) ).
fof(f61,plain,
( ? [X0] :
! [X1] :
( in(X1,X0)
| ~ ordinal(X1) )
=> ! [X1] :
( in(X1,sK0)
| ~ ordinal(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
! [X1] :
( in(X1,X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_ordinal1) ).
fof(f249,plain,
! [X0] : ~ in(sK1(sK3(X0)),X0),
inference(subsumption_resolution,[],[f248,f196]) ).
fof(f248,plain,
! [X0] :
( ~ ordinal(sK1(sK3(X0)))
| ~ in(sK1(sK3(X0)),X0) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ~ ordinal(sK1(sK3(X0)))
| ~ in(sK1(sK3(X0)),X0)
| ~ ordinal(sK1(sK3(X0))) ),
inference(resolution,[],[f126,f122]) ).
fof(f122,plain,
! [X0] :
( ~ in(sK1(X0),X0)
| ~ ordinal(sK1(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f126,plain,
! [X2,X0] :
( in(X2,sK3(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:43:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (29320)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (29323)WARNING: value z3 for option sas not known
% 0.11/0.34 % (29324)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (29321)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (29325)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (29322)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (29323)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (29327)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (29326)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [4]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [5]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (29323)First to succeed.
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [4]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 % (29323)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (29323)------------------------------
% 0.11/0.34 % (29323)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (29323)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (29323)Memory used [KB]: 869
% 0.11/0.34 % (29323)Time elapsed: 0.007 s
% 0.11/0.34 % (29323)Instructions burned: 8 (million)
% 0.11/0.34 % (29323)------------------------------
% 0.11/0.34 % (29323)------------------------------
% 0.11/0.34 % (29320)Success in time 0.022 s
%------------------------------------------------------------------------------