TSTP Solution File: SEU119+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU119+2 : 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 : 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 18:26:44 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 2 unt; 0 def)
% Number of atoms : 124 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 142 ( 63 ~; 49 |; 20 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 54 ( 48 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f65,f66,f67,f128,f142,f176]) ).
fof(f176,plain,
( spl7_2
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f175,f57,f53]) ).
fof(f53,plain,
( spl7_2
<=> ! [X3] :
( ~ in(X3,sK4)
| ~ in(X3,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f57,plain,
( spl7_3
<=> disjoint(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f175,plain,
( ! [X1] :
( ~ in(X1,sK5)
| ~ in(X1,sK4) )
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f172,f47]) ).
fof(f47,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f172,plain,
( ! [X1] :
( ~ in(X1,sK5)
| in(X1,empty_set)
| ~ in(X1,sK4) )
| ~ spl7_3 ),
inference(superposition,[],[f44,f144]) ).
fof(f144,plain,
( empty_set = set_intersection2(sK5,sK4)
| ~ spl7_3 ),
inference(unit_resulting_resolution,[],[f59,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f59,plain,
( disjoint(sK5,sK4)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f44,plain,
! [X3,X0,X1] :
( in(X3,set_intersection2(X1,X0))
| ~ in(X3,X0)
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2)
| set_intersection2(X1,X0) != X2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X1,X0] :
( set_intersection2(X1,X0) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( ! [X3] :
( ( in(X3,X1)
& in(X3,X0) )
<=> in(X3,X2) )
<=> set_intersection2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f142,plain,
( ~ spl7_4
| ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f132,f53,f49,f62]) ).
fof(f62,plain,
( spl7_4
<=> in(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f49,plain,
( spl7_1
<=> in(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f132,plain,
( ~ in(sK6,sK4)
| ~ spl7_1
| ~ spl7_2 ),
inference(unit_resulting_resolution,[],[f51,f54]) ).
fof(f54,plain,
( ! [X3] :
( ~ in(X3,sK5)
| ~ in(X3,sK4) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f51,plain,
( in(sK6,sK5)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f128,plain,
( ~ spl7_2
| spl7_3 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl7_2
| spl7_3 ),
inference(subsumption_resolution,[],[f117,f74]) ).
fof(f74,plain,
( in(sK2(sK4,sK5,empty_set),sK5)
| spl7_3 ),
inference(unit_resulting_resolution,[],[f47,f69,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X1)
| set_intersection2(X1,X0) = X2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f69,plain,
( empty_set != set_intersection2(sK5,sK4)
| spl7_3 ),
inference(unit_resulting_resolution,[],[f58,f41]) ).
fof(f41,plain,
! [X0,X1] :
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
( ~ disjoint(sK5,sK4)
| spl7_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f117,plain,
( ~ in(sK2(sK4,sK5,empty_set),sK5)
| ~ spl7_2
| spl7_3 ),
inference(unit_resulting_resolution,[],[f75,f54]) ).
fof(f75,plain,
( in(sK2(sK4,sK5,empty_set),sK4)
| spl7_3 ),
inference(unit_resulting_resolution,[],[f47,f69,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X0)
| set_intersection2(X1,X0) = X2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f67,plain,
( spl7_1
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f39,f57,f49]) ).
fof(f39,plain,
( ~ disjoint(sK5,sK4)
| in(sK6,sK5) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X1,X0] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
& ~ disjoint(X0,X1) )
| ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1] :
( ~ ( ! [X3] :
~ ( in(X3,X0)
& in(X3,X1) )
& ~ disjoint(X0,X1) )
& ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) )
& ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1] :
( ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) )
& ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f66,plain,
( spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f38,f57,f62]) ).
fof(f38,plain,
( ~ disjoint(sK5,sK4)
| in(sK6,sK4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f65,plain,
( spl7_4
| spl7_2 ),
inference(avatar_split_clause,[],[f37,f53,f62]) ).
fof(f37,plain,
! [X3] :
( ~ in(X3,sK5)
| ~ in(X3,sK4)
| in(sK6,sK4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f60,plain,
( spl7_3
| spl7_2 ),
inference(avatar_split_clause,[],[f35,f53,f57]) ).
fof(f35,plain,
! [X3] :
( ~ in(X3,sK5)
| ~ in(X3,sK4)
| disjoint(sK5,sK4) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 : n001.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 15:01:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (19465)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)
% 0.20/0.48 % (19476)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)
% 0.20/0.48 % (19465)First to succeed.
% 0.20/0.49 % (19465)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (19465)------------------------------
% 0.20/0.49 % (19465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (19465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (19465)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (19465)Memory used [KB]: 6012
% 0.20/0.49 % (19465)Time elapsed: 0.063 s
% 0.20/0.49 % (19465)Instructions burned: 6 (million)
% 0.20/0.49 % (19465)------------------------------
% 0.20/0.49 % (19465)------------------------------
% 0.20/0.49 % (19456)Success in time 0.138 s
%------------------------------------------------------------------------------