TSTP Solution File: SET925+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET925+1 : 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 : n013.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 18:22:45 EDT 2022
% Result : Theorem 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 48 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 16 |; 6 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(subsumption_resolution,[],[f34,f29]) ).
fof(f29,plain,
empty_set != set_difference(singleton(sK1),sK2),
inference(subsumption_resolution,[],[f26,f21]) ).
fof(f21,plain,
! [X0,X1] :
( in(X1,X0)
| empty_set != set_difference(singleton(X1),X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( empty_set = set_difference(singleton(X1),X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| empty_set != set_difference(singleton(X1),X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( empty_set = set_difference(singleton(X1),X0)
<=> in(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f26,plain,
( empty_set != set_difference(singleton(sK1),sK2)
| ~ in(sK1,sK2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ~ in(sK1,sK2)
| empty_set != set_difference(singleton(sK1),sK2) )
& ( in(sK1,sK2)
| empty_set = set_difference(singleton(sK1),sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( ~ in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) )
& ( in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ) )
=> ( ( ~ in(sK1,sK2)
| empty_set != set_difference(singleton(sK1),sK2) )
& ( in(sK1,sK2)
| empty_set = set_difference(singleton(sK1),sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) )
& ( in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X0] :
( ( ~ in(X1,X0)
| empty_set != set_difference(singleton(X1),X0) )
& ( in(X1,X0)
| empty_set = set_difference(singleton(X1),X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
? [X1,X0] :
( empty_set = set_difference(singleton(X1),X0)
<~> in(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X1,X0] :
( in(X1,X0)
<=> empty_set = set_difference(singleton(X1),X0) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X1,X0] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X1,X0] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_zfmisc_1) ).
fof(f34,plain,
empty_set = set_difference(singleton(sK1),sK2),
inference(resolution,[],[f30,f22]) ).
fof(f22,plain,
! [X0,X1] :
( empty_set = set_difference(singleton(X1),X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
in(sK1,sK2),
inference(subsumption_resolution,[],[f25,f29]) ).
fof(f25,plain,
( empty_set = set_difference(singleton(sK1),sK2)
| in(sK1,sK2) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 14:27:02 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 % (20544)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 (2999ds/7Mi)
% 0.21/0.47 % (20536)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 (2999ds/39Mi)
% 0.21/0.47 % (20536)First to succeed.
% 0.21/0.47 % (20536)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Theorem for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (20536)------------------------------
% 0.21/0.47 % (20536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47 % (20536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47 % (20536)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (20536)Memory used [KB]: 5884
% 0.21/0.47 % (20536)Time elapsed: 0.051 s
% 0.21/0.47 % (20536)Instructions burned: 2 (million)
% 0.21/0.47 % (20536)------------------------------
% 0.21/0.47 % (20536)------------------------------
% 0.21/0.47 % (20528)Success in time 0.104 s
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