TSTP Solution File: SET923+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET923+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_sat --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 18:26:06 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 69 ( 51 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 35 ~; 19 |; 22 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 30 ( 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(subsumption_resolution,[],[f46,f30]) ).
fof(f30,plain,
empty_set != sK2,
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( empty_set = set_difference(sK2,singleton(sK1))
& empty_set != sK2
& sK2 != singleton(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( empty_set = set_difference(X1,singleton(X0))
& empty_set != X1
& singleton(X0) != X1 )
=> ( empty_set = set_difference(sK2,singleton(sK1))
& empty_set != sK2
& sK2 != singleton(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( empty_set = set_difference(X1,singleton(X0))
& empty_set != X1
& singleton(X0) != X1 ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
? [X1,X0] :
( empty_set = set_difference(X0,singleton(X1))
& empty_set != X0
& singleton(X1) != X0 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
~ ( empty_set = set_difference(X0,singleton(X1))
& empty_set != X0
& singleton(X1) != X0 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
~ ( empty_set = set_difference(X0,singleton(X1))
& empty_set != X0
& singleton(X1) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_zfmisc_1) ).
fof(f46,plain,
empty_set = sK2,
inference(subsumption_resolution,[],[f44,f29]) ).
fof(f29,plain,
sK2 != singleton(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f44,plain,
( sK2 = singleton(sK1)
| empty_set = sK2 ),
inference(resolution,[],[f41,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ subset(X1,singleton(X0))
| singleton(X0) = X1
| empty_set = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( empty_set = X1
| singleton(X0) = X1
| ~ subset(X1,singleton(X0)) )
& ( subset(X1,singleton(X0))
| ( empty_set != X1
& singleton(X0) != X1 ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ( empty_set = X0
| singleton(X1) = X0
| ~ subset(X0,singleton(X1)) )
& ( subset(X0,singleton(X1))
| ( empty_set != X0
& singleton(X1) != X0 ) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( empty_set = X0
| singleton(X1) = X0
| ~ subset(X0,singleton(X1)) )
& ( subset(X0,singleton(X1))
| ( empty_set != X0
& singleton(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( empty_set = X0
| singleton(X1) = X0 )
<=> subset(X0,singleton(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(f41,plain,
subset(sK2,singleton(sK1)),
inference(trivial_inequality_removal,[],[f40]) ).
fof(f40,plain,
( empty_set != empty_set
| subset(sK2,singleton(sK1)) ),
inference(superposition,[],[f25,f31]) ).
fof(f31,plain,
empty_set = set_difference(sK2,singleton(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X0,X1] :
( empty_set != set_difference(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,X1)
| empty_set != set_difference(X0,X1) )
& ( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ( subset(X1,X0)
| empty_set != set_difference(X1,X0) )
& ( empty_set = set_difference(X1,X0)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( subset(X1,X0)
<=> empty_set = set_difference(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( empty_set = set_difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:27:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (30092)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.45 % (30092)First to succeed.
% 0.19/0.46 % (30108)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.46 % (30092)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (30092)------------------------------
% 0.19/0.46 % (30092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (30092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (30092)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (30092)Memory used [KB]: 5373
% 0.19/0.46 % (30092)Time elapsed: 0.061 s
% 0.19/0.46 % (30092)Instructions burned: 2 (million)
% 0.19/0.46 % (30092)------------------------------
% 0.19/0.46 % (30092)------------------------------
% 0.19/0.46 % (30084)Success in time 0.118 s
%------------------------------------------------------------------------------