TSTP Solution File: SET062+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n009.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 18:23:26 EDT 2022
% Result : Theorem 1.58s 0.56s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 11 |; 8 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 27 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(resolution,[],[f23,f17]) ).
fof(f17,plain,
~ subset(empty_set,sK0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
~ subset(empty_set,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f10]) ).
fof(f10,plain,
( ? [X0] : ~ subset(empty_set,X0)
=> ~ subset(empty_set,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] : ~ subset(empty_set,X0),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0] : subset(empty_set,X0),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_empty_set_subset) ).
fof(f23,plain,
! [X1] : subset(empty_set,X1),
inference(resolution,[],[f20,f16]) ).
fof(f16,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f20,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % 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 : n009.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 13:01:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.58/0.55 % (18743)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.58/0.56 % (18735)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.58/0.56 % (18734)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.58/0.56 % (18743)First to succeed.
% 1.58/0.56 % (18741)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.58/0.56 % (18739)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.58/0.56 % (18741)Instruction limit reached!
% 1.58/0.56 % (18741)------------------------------
% 1.58/0.56 % (18741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (18741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (18741)Termination reason: Unknown
% 1.58/0.56 % (18741)Termination phase: Saturation
% 1.58/0.56
% 1.58/0.56 % (18741)Memory used [KB]: 5373
% 1.58/0.56 % (18741)Time elapsed: 0.003 s
% 1.58/0.56 % (18741)Instructions burned: 2 (million)
% 1.58/0.56 % (18741)------------------------------
% 1.58/0.56 % (18741)------------------------------
% 1.58/0.56 % (18743)Refutation found. Thanks to Tanya!
% 1.58/0.56 % SZS status Theorem for theBenchmark
% 1.58/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.56 % (18743)------------------------------
% 1.58/0.56 % (18743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (18743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (18743)Termination reason: Refutation
% 1.58/0.56
% 1.58/0.56 % (18743)Memory used [KB]: 5373
% 1.58/0.56 % (18743)Time elapsed: 0.137 s
% 1.58/0.56 % (18743)Instructions burned: 2 (million)
% 1.58/0.56 % (18743)------------------------------
% 1.58/0.56 % (18743)------------------------------
% 1.58/0.56 % (18732)Success in time 0.21 s
%------------------------------------------------------------------------------