TSTP Solution File: SEU173+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU173+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 : n021.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 18:27:06 EDT 2022
% Result : Theorem 1.23s 0.52s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 20 ~; 12 |; 4 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(unit_resulting_resolution,[],[f70,f71,f57]) ).
fof(f57,plain,
! [X2] :
( ~ in(X2,sK6)
| in(X2,sK7) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
? [X1,X0] :
( ~ element(X1,powerset(X0))
& ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
=> element(X1,powerset(X0)) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f71,plain,
~ in(sK1(sK7,sK6),sK7),
inference(unit_resulting_resolution,[],[f66,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f66,plain,
~ subset(sK6,sK7),
inference(unit_resulting_resolution,[],[f64,f62]) ).
fof(f62,plain,
! [X2,X0] :
( ~ subset(X2,X0)
| in(X2,powerset(X0)) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( powerset(X0) != X1
| in(X2,X1)
| ~ subset(X2,X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ! [X2] :
( subset(X2,X0)
<=> in(X2,X1) )
<=> powerset(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f64,plain,
~ in(sK6,powerset(sK7)),
inference(unit_resulting_resolution,[],[f59,f58,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty(X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( empty(X1)
| ( element(X0,X1)
<=> in(X0,X1) ) )
& ( ~ empty(X1)
| ( element(X0,X1)
<=> empty(X0) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( empty(X1)
=> ( element(X0,X1)
<=> empty(X0) ) )
& ( ~ empty(X1)
=> ( element(X0,X1)
<=> in(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( in(X1,X0)
<=> element(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f58,plain,
~ element(sK6,powerset(sK7)),
inference(cnf_transformation,[],[f29]) ).
fof(f59,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f70,plain,
in(sK1(sK7,sK6),sK6),
inference(unit_resulting_resolution,[],[f66,f42]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 : n021.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 14:42:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (10289)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)
% 0.19/0.51 % (10289)First to succeed.
% 1.23/0.51 % (10299)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)
% 1.23/0.52 % (10297)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.23/0.52 % (10282)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)
% 1.23/0.52 % (10289)Refutation found. Thanks to Tanya!
% 1.23/0.52 % SZS status Theorem for theBenchmark
% 1.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.52 % (10289)------------------------------
% 1.23/0.52 % (10289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (10289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (10289)Termination reason: Refutation
% 1.23/0.52
% 1.23/0.52 % (10289)Memory used [KB]: 5884
% 1.23/0.52 % (10289)Time elapsed: 0.105 s
% 1.23/0.52 % (10289)Instructions burned: 2 (million)
% 1.23/0.52 % (10289)------------------------------
% 1.23/0.52 % (10289)------------------------------
% 1.23/0.52 % (10273)Success in time 0.167 s
%------------------------------------------------------------------------------