TSTP Solution File: SET904+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET904+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 : n006.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 18:26:03 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 34 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 4 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(subsumption_resolution,[],[f55,f39]) ).
fof(f39,plain,
~ in(sK2,sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( subset(set_union2(singleton(sK2),sK1),sK1)
& ~ in(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f20,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( subset(set_union2(singleton(X1),X0),X0)
& ~ in(X1,X0) )
=> ( subset(set_union2(singleton(sK2),sK1),sK1)
& ~ in(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1] :
( subset(set_union2(singleton(X1),X0),X0)
& ~ in(X1,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X1,X0] :
( subset(set_union2(singleton(X1),X0),X0)
=> in(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X1,X0] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X1,X0] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_zfmisc_1) ).
fof(f55,plain,
in(sK2,sK1),
inference(resolution,[],[f51,f45]) ).
fof(f45,plain,
subset(set_union2(sK1,singleton(sK2)),sK1),
inference(backward_demodulation,[],[f40,f41]) ).
fof(f41,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f40,plain,
subset(set_union2(singleton(sK2),sK1),sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X2,X1] :
( ~ subset(set_union2(X2,singleton(X1)),X2)
| in(X1,X2) ),
inference(superposition,[],[f38,f41]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subset(set_union2(singleton(X0),X1),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(set_union2(singleton(X0),X1),X1) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( in(X1,X0)
| ~ subset(set_union2(singleton(X1),X0),X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( subset(set_union2(singleton(X1),X0),X0)
=> in(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET904+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 14:27:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % (32047)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (32063)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (32055)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 TRYING [4]
% 0.20/0.54 TRYING [5]
% 0.20/0.54 TRYING [6]
% 0.20/0.54 % (32063)First to succeed.
% 0.20/0.55 % (32063)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (32063)------------------------------
% 0.20/0.55 % (32063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32063)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (32063)Memory used [KB]: 895
% 0.20/0.55 % (32063)Time elapsed: 0.139 s
% 0.20/0.55 % (32063)Instructions burned: 3 (million)
% 0.20/0.55 % (32063)------------------------------
% 0.20/0.55 % (32063)------------------------------
% 0.20/0.55 % (32040)Success in time 0.197 s
%------------------------------------------------------------------------------