TSTP Solution File: NUM394+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM394+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 : n028.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 18:04:58 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 171 ( 12 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 190 ( 75 ~; 62 |; 34 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 65 ( 54 !; 11 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_15,type,
sQ16_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_16,type,
sQ17_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_17,type,
sQ18_eqProxy: ( $real * $real ) > $o ).
fof(f414,plain,
$false,
inference(subsumption_resolution,[],[f397,f186]) ).
fof(f186,plain,
! [X0] : subset(X0,X0),
inference(literal_reordering,[],[f137]) ).
fof(f137,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f397,plain,
~ subset(sK3,sK3),
inference(backward_demodulation,[],[f297,f393]) ).
fof(f393,plain,
sK3 = sK4,
inference(subsumption_resolution,[],[f392,f233]) ).
fof(f233,plain,
ordinal(sK4),
inference(literal_reordering,[],[f138]) ).
fof(f138,plain,
ordinal(sK4),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ordinal(sK3)
& ~ in(sK4,sK3)
& ~ ordinal_subset(sK3,sK4)
& ordinal(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f61,f90,f89]) ).
fof(f89,plain,
( ? [X0] :
( ordinal(X0)
& ? [X1] :
( ~ in(X1,X0)
& ~ ordinal_subset(X0,X1)
& ordinal(X1) ) )
=> ( ordinal(sK3)
& ? [X1] :
( ~ in(X1,sK3)
& ~ ordinal_subset(sK3,X1)
& ordinal(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X1] :
( ~ in(X1,sK3)
& ~ ordinal_subset(sK3,X1)
& ordinal(X1) )
=> ( ~ in(sK4,sK3)
& ~ ordinal_subset(sK3,sK4)
& ordinal(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ordinal(X0)
& ? [X1] :
( ~ in(X1,X0)
& ~ ordinal_subset(X0,X1)
& ordinal(X1) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ~ in(X1,X0)
& ~ ordinal_subset(X0,X1)
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
| ordinal_subset(X0,X1) ) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
| ordinal_subset(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_ordinal1) ).
fof(f392,plain,
( ~ ordinal(sK4)
| sK3 = sK4 ),
inference(resolution,[],[f374,f198]) ).
fof(f198,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(literal_reordering,[],[f152]) ).
fof(f152,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ ordinal(X0)
| ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f374,plain,
( ~ epsilon_transitive(sK4)
| sK3 = sK4 ),
inference(subsumption_resolution,[],[f371,f297]) ).
fof(f371,plain,
( sK3 = sK4
| subset(sK3,sK4)
| ~ epsilon_transitive(sK4) ),
inference(resolution,[],[f338,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(X1,X0)
| ~ epsilon_transitive(X0) ),
inference(literal_reordering,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(X1,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) )
& ( epsilon_transitive(X0)
| ( ~ subset(sK12(X0),X0)
& in(sK12(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f113,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X2] :
( ~ subset(X2,X0)
& in(X2,X0) )
=> ( ~ subset(sK12(X0),X0)
& in(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) )
& ( epsilon_transitive(X0)
| ? [X2] :
( ~ subset(X2,X0)
& in(X2,X0) ) ) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) )
& ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
<=> epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f338,plain,
( in(sK3,sK4)
| sK3 = sK4 ),
inference(subsumption_resolution,[],[f335,f193]) ).
fof(f193,plain,
~ in(sK4,sK3),
inference(literal_reordering,[],[f140]) ).
fof(f140,plain,
~ in(sK4,sK3),
inference(cnf_transformation,[],[f91]) ).
fof(f335,plain,
( sK3 = sK4
| in(sK4,sK3)
| in(sK3,sK4) ),
inference(resolution,[],[f306,f233]) ).
fof(f306,plain,
! [X0] :
( ~ ordinal(X0)
| in(sK3,X0)
| in(X0,sK3)
| sK3 = X0 ),
inference(resolution,[],[f216,f226]) ).
fof(f226,plain,
ordinal(sK3),
inference(literal_reordering,[],[f141]) ).
fof(f141,plain,
ordinal(sK3),
inference(cnf_transformation,[],[f91]) ).
fof(f216,plain,
! [X0,X1] :
( ~ ordinal(X1)
| in(X1,X0)
| ~ ordinal(X0)
| X0 = X1
| in(X0,X1) ),
inference(literal_reordering,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ ordinal(X1)
| in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| in(X0,X1)
| ~ ordinal(X1)
| X0 = X1 )
| ~ ordinal(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X1,X0)
& X0 != X1
& ~ in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f297,plain,
~ subset(sK3,sK4),
inference(subsumption_resolution,[],[f296,f226]) ).
fof(f296,plain,
( ~ ordinal(sK3)
| ~ subset(sK3,sK4) ),
inference(subsumption_resolution,[],[f295,f233]) ).
fof(f295,plain,
( ~ ordinal(sK4)
| ~ subset(sK3,sK4)
| ~ ordinal(sK3) ),
inference(resolution,[],[f201,f204]) ).
fof(f204,plain,
~ ordinal_subset(sK3,sK4),
inference(literal_reordering,[],[f139]) ).
fof(f139,plain,
~ ordinal_subset(sK3,sK4),
inference(cnf_transformation,[],[f91]) ).
fof(f201,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ~ ordinal(X0)
| ~ subset(X1,X0)
| ~ ordinal(X1) ),
inference(literal_reordering,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ ordinal(X1)
| ordinal_subset(X1,X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( subset(X1,X0)
| ~ ordinal_subset(X1,X0) )
& ( ordinal_subset(X1,X0)
| ~ subset(X1,X0) ) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( subset(X1,X0)
<=> ordinal_subset(X1,X0) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( subset(X1,X0)
<=> ordinal_subset(X1,X0) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( subset(X1,X0)
<=> ordinal_subset(X1,X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X0] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( subset(X0,X1)
<=> ordinal_subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM394+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 : n028.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 06:37:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (1084)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 (2999ds/37Mi)
% 0.18/0.46 % (1110)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)
% 0.18/0.49 % (1110)First to succeed.
% 0.18/0.49 % (1101)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (1092)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (1094)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (1086)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (1110)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (1110)------------------------------
% 0.18/0.50 % (1110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (1110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (1110)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (1110)Memory used [KB]: 5884
% 0.18/0.50 % (1110)Time elapsed: 0.010 s
% 0.18/0.50 % (1110)Instructions burned: 10 (million)
% 0.18/0.50 % (1110)------------------------------
% 0.18/0.50 % (1110)------------------------------
% 0.18/0.50 % (1078)Success in time 0.165 s
%------------------------------------------------------------------------------