TSTP Solution File: SET903+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET903+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 : n007.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 18:22:42 EDT 2022
% Result : Theorem 0.83s 0.64s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 117 ( 51 ~; 23 |; 42 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 37 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(subsumption_resolution,[],[f87,f45]) ).
fof(f45,plain,
sK4 != sK2,
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( empty_set != sK2
& set_union2(sK2,sK4) = singleton(sK3)
& sK4 != sK2
& empty_set != sK4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] :
( empty_set != X0
& singleton(X1) = set_union2(X0,X2)
& X0 != X2
& empty_set != X2 )
=> ( empty_set != sK2
& set_union2(sK2,sK4) = singleton(sK3)
& sK4 != sK2
& empty_set != sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2] :
( empty_set != X0
& singleton(X1) = set_union2(X0,X2)
& X0 != X2
& empty_set != X2 ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
? [X2,X1,X0] :
( empty_set != X2
& singleton(X1) = set_union2(X2,X0)
& X0 != X2
& empty_set != X0 ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X1,X2,X0] :
~ ( empty_set != X2
& singleton(X1) = set_union2(X2,X0)
& X0 != X2
& empty_set != X0 ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X2,X0,X1] :
~ ( empty_set != X1
& empty_set != X2
& X1 != X2
& singleton(X0) = set_union2(X1,X2) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X2,X0,X1] :
~ ( empty_set != X1
& empty_set != X2
& X1 != X2
& singleton(X0) = set_union2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
fof(f87,plain,
sK4 = sK2,
inference(trivial_inequality_removal,[],[f86]) ).
fof(f86,plain,
( sK4 = sK2
| sK2 != sK2 ),
inference(superposition,[],[f85,f74]) ).
fof(f74,plain,
sK2 = singleton(sK3),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X0] :
( singleton(X0) != singleton(sK3)
| singleton(X0) = sK2 ),
inference(subsumption_resolution,[],[f69,f47]) ).
fof(f47,plain,
empty_set != sK2,
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
! [X0] :
( singleton(X0) != singleton(sK3)
| empty_set = sK2
| singleton(X0) = sK2 ),
inference(superposition,[],[f48,f46]) ).
fof(f46,plain,
set_union2(sK2,sK4) = singleton(sK3),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X2,X0,X1] :
( set_union2(X1,X0) != singleton(X2)
| empty_set = X1
| singleton(X2) = X1 ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( empty_set = X1
| singleton(X2) = X1
| set_union2(X1,X0) != singleton(X2)
| singleton(X2) = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( singleton(X2) = X1
& singleton(X2) = X0 )
| ( empty_set = X1
& singleton(X2) = X0 )
| set_union2(X1,X0) != singleton(X2)
| ( singleton(X2) = X1
& empty_set = X0 ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ( singleton(X1) = X0
& singleton(X1) = X2 )
| ( empty_set = X0
& singleton(X1) = X2 )
| singleton(X1) != set_union2(X0,X2)
| ( singleton(X1) = X0
& empty_set = X2 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
~ ( ~ ( singleton(X1) = X0
& empty_set = X2 )
& ~ ( singleton(X1) = X0
& singleton(X1) = X2 )
& ~ ( empty_set = X0
& singleton(X1) = X2 )
& singleton(X1) = set_union2(X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] :
~ ( ~ ( singleton(X0) = X2
& empty_set = X1 )
& ~ ( empty_set = X2
& singleton(X0) = X1 )
& ~ ( singleton(X0) = X2
& singleton(X0) = X1 )
& singleton(X0) = set_union2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_zfmisc_1) ).
fof(f85,plain,
! [X8] :
( singleton(X8) != sK2
| sK4 = singleton(X8) ),
inference(subsumption_resolution,[],[f84,f44]) ).
fof(f44,plain,
empty_set != sK4,
inference(cnf_transformation,[],[f28]) ).
fof(f84,plain,
! [X8] :
( empty_set = sK4
| sK4 = singleton(X8)
| singleton(X8) != sK2 ),
inference(superposition,[],[f49,f77]) ).
fof(f77,plain,
set_union2(sK2,sK4) = sK2,
inference(backward_demodulation,[],[f46,f74]) ).
fof(f49,plain,
! [X2,X0,X1] :
( set_union2(X1,X0) != singleton(X2)
| singleton(X2) = X0
| empty_set = X0 ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( set_union2(X1,X0) != singleton(X2)
| singleton(X2) = X0
| empty_set = X0
| singleton(X2) = X0 ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 : n007.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 14:14:16 EDT 2022
% 0.12/0.34 % CPUTime :
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% 0.83/0.63 % (29386)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 0.83/0.64 % (29362)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.83/0.64 % (29362)First to succeed.
% 0.83/0.64 % (29378)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.83/0.64 % (29362)Refutation found. Thanks to Tanya!
% 0.83/0.64 % SZS status Theorem for theBenchmark
% 0.83/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.64 % (29362)------------------------------
% 0.83/0.64 % (29362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.83/0.64 % (29362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.83/0.64 % (29362)Termination reason: Refutation
% 0.83/0.64
% 0.83/0.64 % (29362)Memory used [KB]: 5884
% 0.83/0.64 % (29362)Time elapsed: 0.094 s
% 0.83/0.64 % (29362)Instructions burned: 3 (million)
% 0.83/0.64 % (29362)------------------------------
% 0.83/0.64 % (29362)------------------------------
% 0.83/0.64 % (29165)Success in time 0.293 s
%------------------------------------------------------------------------------