TSTP Solution File: SEU305+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n014.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 18:28:34 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 18 unt; 0 def)
% Number of atoms : 254 ( 57 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 302 ( 109 ~; 104 |; 69 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 78 ( 63 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f252,plain,
$false,
inference(subsumption_resolution,[],[f251,f124]) ).
fof(f124,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( join_commutative(sK3)
& ~ empty_carrier(sK3)
& below(sK3,sK5,sK4)
& element(sK5,the_carrier(sK3))
& below(sK3,sK4,sK5)
& sK4 != sK5
& element(sK4,the_carrier(sK3))
& join_semilatt_str(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f62,f98,f97,f96]) ).
fof(f96,plain,
( ? [X0] :
( join_commutative(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( ? [X2] :
( below(X0,X2,X1)
& element(X2,the_carrier(X0))
& below(X0,X1,X2)
& X1 != X2 )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0) )
=> ( join_commutative(sK3)
& ~ empty_carrier(sK3)
& ? [X1] :
( ? [X2] :
( below(sK3,X2,X1)
& element(X2,the_carrier(sK3))
& below(sK3,X1,X2)
& X1 != X2 )
& element(X1,the_carrier(sK3)) )
& join_semilatt_str(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X1] :
( ? [X2] :
( below(sK3,X2,X1)
& element(X2,the_carrier(sK3))
& below(sK3,X1,X2)
& X1 != X2 )
& element(X1,the_carrier(sK3)) )
=> ( ? [X2] :
( below(sK3,X2,sK4)
& element(X2,the_carrier(sK3))
& below(sK3,sK4,X2)
& sK4 != X2 )
& element(sK4,the_carrier(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X2] :
( below(sK3,X2,sK4)
& element(X2,the_carrier(sK3))
& below(sK3,sK4,X2)
& sK4 != X2 )
=> ( below(sK3,sK5,sK4)
& element(sK5,the_carrier(sK3))
& below(sK3,sK4,sK5)
& sK4 != sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] :
( join_commutative(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( ? [X2] :
( below(X0,X2,X1)
& element(X2,the_carrier(X0))
& below(X0,X1,X2)
& X1 != X2 )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X2,X1)
& below(X0,X1,X2)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X2,X1)
& below(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X2,X1)
& below(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(f251,plain,
sK4 = sK5,
inference(forward_demodulation,[],[f250,f184]) ).
fof(f184,plain,
sK4 = join(sK3,sK5,sK4),
inference(subsumption_resolution,[],[f183,f122]) ).
fof(f122,plain,
join_semilatt_str(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f183,plain,
( ~ join_semilatt_str(sK3)
| sK4 = join(sK3,sK5,sK4) ),
inference(subsumption_resolution,[],[f182,f123]) ).
fof(f123,plain,
element(sK4,the_carrier(sK3)),
inference(cnf_transformation,[],[f99]) ).
fof(f182,plain,
( ~ element(sK4,the_carrier(sK3))
| ~ join_semilatt_str(sK3)
| sK4 = join(sK3,sK5,sK4) ),
inference(subsumption_resolution,[],[f181,f126]) ).
fof(f126,plain,
element(sK5,the_carrier(sK3)),
inference(cnf_transformation,[],[f99]) ).
fof(f181,plain,
( ~ element(sK5,the_carrier(sK3))
| sK4 = join(sK3,sK5,sK4)
| ~ element(sK4,the_carrier(sK3))
| ~ join_semilatt_str(sK3) ),
inference(subsumption_resolution,[],[f180,f128]) ).
fof(f128,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f180,plain,
( empty_carrier(sK3)
| ~ element(sK4,the_carrier(sK3))
| ~ join_semilatt_str(sK3)
| ~ element(sK5,the_carrier(sK3))
| sK4 = join(sK3,sK5,sK4) ),
inference(resolution,[],[f127,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| empty_carrier(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| ! [X1] :
( ! [X2] :
( ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f127,plain,
below(sK3,sK5,sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f250,plain,
sK5 = join(sK3,sK5,sK4),
inference(forward_demodulation,[],[f248,f239]) ).
fof(f239,plain,
sK5 = join_commut(sK3,sK5,sK4),
inference(forward_demodulation,[],[f238,f227]) ).
fof(f227,plain,
sK5 = join_commut(sK3,sK4,sK5),
inference(forward_demodulation,[],[f226,f162]) ).
fof(f162,plain,
sK5 = join(sK3,sK4,sK5),
inference(subsumption_resolution,[],[f161,f122]) ).
fof(f161,plain,
( ~ join_semilatt_str(sK3)
| sK5 = join(sK3,sK4,sK5) ),
inference(subsumption_resolution,[],[f160,f126]) ).
fof(f160,plain,
( ~ element(sK5,the_carrier(sK3))
| sK5 = join(sK3,sK4,sK5)
| ~ join_semilatt_str(sK3) ),
inference(subsumption_resolution,[],[f159,f128]) ).
fof(f159,plain,
( empty_carrier(sK3)
| ~ element(sK5,the_carrier(sK3))
| ~ join_semilatt_str(sK3)
| sK5 = join(sK3,sK4,sK5) ),
inference(subsumption_resolution,[],[f158,f123]) ).
fof(f158,plain,
( ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| sK5 = join(sK3,sK4,sK5)
| ~ element(sK5,the_carrier(sK3))
| ~ join_semilatt_str(sK3) ),
inference(resolution,[],[f125,f108]) ).
fof(f125,plain,
below(sK3,sK4,sK5),
inference(cnf_transformation,[],[f99]) ).
fof(f226,plain,
join(sK3,sK4,sK5) = join_commut(sK3,sK4,sK5),
inference(resolution,[],[f143,f126]) ).
fof(f143,plain,
! [X2] :
( ~ element(X2,the_carrier(sK3))
| join_commut(sK3,sK4,X2) = join(sK3,sK4,X2) ),
inference(subsumption_resolution,[],[f142,f129]) ).
fof(f129,plain,
join_commutative(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f142,plain,
! [X2] :
( join_commut(sK3,sK4,X2) = join(sK3,sK4,X2)
| ~ element(X2,the_carrier(sK3))
| ~ join_commutative(sK3) ),
inference(subsumption_resolution,[],[f141,f122]) ).
fof(f141,plain,
! [X2] :
( ~ join_semilatt_str(sK3)
| ~ element(X2,the_carrier(sK3))
| join_commut(sK3,sK4,X2) = join(sK3,sK4,X2)
| ~ join_commutative(sK3) ),
inference(subsumption_resolution,[],[f139,f128]) ).
fof(f139,plain,
! [X2] :
( ~ element(X2,the_carrier(sK3))
| join_commut(sK3,sK4,X2) = join(sK3,sK4,X2)
| empty_carrier(sK3)
| ~ join_semilatt_str(sK3)
| ~ join_commutative(sK3) ),
inference(resolution,[],[f123,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| join_commut(X0,X2,X1) = join(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ join_commutative(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| join_commut(X0,X2,X1) = join(X0,X2,X1)
| empty_carrier(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X2,X0] :
( join_commut(X0,X2,X1) = join(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X2,X0] :
( ( element(X2,the_carrier(X0))
& join_semilatt_str(X0)
& element(X1,the_carrier(X0))
& ~ empty_carrier(X0)
& join_commutative(X0) )
=> join_commut(X0,X2,X1) = join(X0,X2,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X0,X2,X1] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0)
& join_commutative(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0)) )
=> join_commut(X0,X1,X2) = join(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f238,plain,
join_commut(sK3,sK4,sK5) = join_commut(sK3,sK5,sK4),
inference(resolution,[],[f157,f126]) ).
fof(f157,plain,
! [X1] :
( ~ element(X1,the_carrier(sK3))
| join_commut(sK3,sK4,X1) = join_commut(sK3,X1,sK4) ),
inference(subsumption_resolution,[],[f156,f129]) ).
fof(f156,plain,
! [X1] :
( ~ element(X1,the_carrier(sK3))
| join_commut(sK3,sK4,X1) = join_commut(sK3,X1,sK4)
| ~ join_commutative(sK3) ),
inference(subsumption_resolution,[],[f155,f122]) ).
fof(f155,plain,
! [X1] :
( ~ join_semilatt_str(sK3)
| ~ element(X1,the_carrier(sK3))
| join_commut(sK3,sK4,X1) = join_commut(sK3,X1,sK4)
| ~ join_commutative(sK3) ),
inference(subsumption_resolution,[],[f138,f128]) ).
fof(f138,plain,
! [X1] :
( empty_carrier(sK3)
| ~ join_commutative(sK3)
| join_commut(sK3,sK4,X1) = join_commut(sK3,X1,sK4)
| ~ element(X1,the_carrier(sK3))
| ~ join_semilatt_str(sK3) ),
inference(resolution,[],[f123,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| ~ join_commutative(X1)
| join_commut(X1,X2,X0) = join_commut(X1,X0,X2)
| ~ element(X0,the_carrier(X1))
| ~ join_semilatt_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| join_commut(X1,X2,X0) = join_commut(X1,X0,X2)
| ~ join_semilatt_str(X1)
| ~ join_commutative(X1) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0,X2] :
( empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ( join_semilatt_str(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& ~ empty_carrier(X0)
& join_commutative(X0) )
=> join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(f248,plain,
join(sK3,sK5,sK4) = join_commut(sK3,sK5,sK4),
inference(resolution,[],[f176,f123]) ).
fof(f176,plain,
! [X2] :
( ~ element(X2,the_carrier(sK3))
| join(sK3,sK5,X2) = join_commut(sK3,sK5,X2) ),
inference(subsumption_resolution,[],[f175,f122]) ).
fof(f175,plain,
! [X2] :
( ~ join_semilatt_str(sK3)
| ~ element(X2,the_carrier(sK3))
| join(sK3,sK5,X2) = join_commut(sK3,sK5,X2) ),
inference(subsumption_resolution,[],[f174,f128]) ).
fof(f174,plain,
! [X2] :
( ~ element(X2,the_carrier(sK3))
| empty_carrier(sK3)
| join(sK3,sK5,X2) = join_commut(sK3,sK5,X2)
| ~ join_semilatt_str(sK3) ),
inference(subsumption_resolution,[],[f165,f129]) ).
fof(f165,plain,
! [X2] :
( join(sK3,sK5,X2) = join_commut(sK3,sK5,X2)
| ~ join_commutative(sK3)
| ~ join_semilatt_str(sK3)
| empty_carrier(sK3)
| ~ element(X2,the_carrier(sK3)) ),
inference(resolution,[],[f126,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.12/0.34 % Computer : n014.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 15:09:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (21612)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)
% 0.19/0.48 % (21605)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)
% 0.19/0.49 % (21605)First to succeed.
% 0.19/0.49 % (21622)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (21605)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (21605)------------------------------
% 0.19/0.49 % (21605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (21605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (21605)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (21605)Memory used [KB]: 6140
% 0.19/0.49 % (21605)Time elapsed: 0.081 s
% 0.19/0.49 % (21605)Instructions burned: 7 (million)
% 0.19/0.49 % (21605)------------------------------
% 0.19/0.49 % (21605)------------------------------
% 0.19/0.49 % (21603)Success in time 0.143 s
%------------------------------------------------------------------------------