TSTP Solution File: KRS119+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n014.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 17:30:51 EDT 2022
% Result : Unsatisfiable 1.24s 0.54s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 250 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 270 ( 100 ~; 92 |; 55 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 138 ( 113 !; 25 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_16,type,
sQ6_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_17,type,
sQ7_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_18,type,
sQ8_eqProxy: ( $real * $real ) > $o ).
fof(f349,plain,
$false,
inference(subsumption_resolution,[],[f348,f296]) ).
fof(f296,plain,
! [X0] : ~ ra_Px1(i2003_11_14_17_21_44786,X0),
inference(resolution,[],[f289,f241]) ).
fof(f241,plain,
! [X2,X0] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X2) ),
inference(literal_reordering,[],[f179]) ).
fof(f179,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( cp1(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f133,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( ~ ? [X4] : ra_Px1(X3,X4)
<=> cp1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f289,plain,
cp1(i2003_11_14_17_21_44786),
inference(resolution,[],[f227,f219]) ).
fof(f219,plain,
cUnsatisfiable(i2003_11_14_17_21_44786),
inference(literal_reordering,[],[f153]) ).
fof(f153,plain,
cUnsatisfiable(i2003_11_14_17_21_44786),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_44786),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f227,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(literal_reordering,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( ( cp1(X0)
& ca_Vx3(sK2(X0))
& rr(X0,sK2(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X2] :
( ~ ca_Vx3(X2)
| ~ rr(X0,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f126,f127]) ).
fof(f127,plain,
! [X0] :
( ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) )
=> ( ca_Vx3(sK2(X0))
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X2] :
( ~ ca_Vx3(X2)
| ~ rr(X0,X2) ) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( ca_Vx3(X4)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f348,plain,
ra_Px1(i2003_11_14_17_21_44786,sK1(i2003_11_14_17_21_44786)),
inference(resolution,[],[f346,f239]) ).
fof(f239,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(literal_reordering,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( ra_Px1(X0,sK1(X0))
| ~ cp1xcomp(X0) )
& ( cp1xcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f116,f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cp1xcomp(X0) )
& ( cp1xcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cp1xcomp(X0) )
& ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
<=> cp1xcomp(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( cp1xcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f346,plain,
cp1xcomp(i2003_11_14_17_21_44786),
inference(resolution,[],[f343,f308]) ).
fof(f308,plain,
! [X1] :
( ~ rinvR(sK4(sK2(i2003_11_14_17_21_44786)),X1)
| cp1xcomp(X1) ),
inference(resolution,[],[f306,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| ~ rinvR(X0,X1)
| cp1xcomp(X1) ),
inference(literal_reordering,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| cp1xcomp(X1)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rinvR(X0,X1)
| cp1xcomp(X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ( rinvR(X0,sK0(X0))
& ~ cp1xcomp(sK0(X0)) )
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f106,f107]) ).
fof(f107,plain,
! [X0] :
( ? [X2] :
( rinvR(X0,X2)
& ~ cp1xcomp(X2) )
=> ( rinvR(X0,sK0(X0))
& ~ cp1xcomp(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rinvR(X0,X1)
| cp1xcomp(X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ? [X2] :
( rinvR(X0,X2)
& ~ cp1xcomp(X2) )
| ~ cp1(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rinvR(X0,X1)
| cp1xcomp(X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ? [X1] :
( rinvR(X0,X1)
& ~ cp1xcomp(X1) )
| ~ cp1(X0) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rinvR(X0,X1)
| cp1xcomp(X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ? [X1] :
( rinvR(X0,X1)
& ~ cp1xcomp(X1) )
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ! [X1] :
( ~ rinvR(X0,X1)
| cp1xcomp(X1) )
& cp1(X0) )
<=> ca_Ax2(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> cp1xcomp(X1) )
& cp1(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ( ! [X4] :
( rinvR(X3,X4)
=> cp1xcomp(X4) )
& cp1(X3) )
<=> ca_Ax2(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f306,plain,
ca_Ax2(sK4(sK2(i2003_11_14_17_21_44786))),
inference(resolution,[],[f291,f219]) ).
fof(f291,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK4(sK2(X0))) ),
inference(resolution,[],[f246,f208]) ).
fof(f208,plain,
! [X0] :
( ca_Vx3(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(literal_reordering,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx3(sK2(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f246,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ca_Ax2(sK4(X0)) ),
inference(literal_reordering,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ca_Ax2(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ( rr(X0,sK4(X0))
& ca_Ax2(sK4(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f138,f139]) ).
fof(f139,plain,
! [X0] :
( ? [X2] :
( rr(X0,X2)
& ca_Ax2(X2) )
=> ( rr(X0,sK4(X0))
& ca_Ax2(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ? [X2] :
( rr(X0,X2)
& ca_Ax2(X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ? [X1] :
( rr(X0,X1)
& ca_Ax2(X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rr(X0,X1)
& ca_Ax2(X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ? [X4] :
( rr(X3,X4)
& ca_Ax2(X4) )
<=> ca_Vx3(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f343,plain,
rinvR(sK4(sK2(i2003_11_14_17_21_44786)),i2003_11_14_17_21_44786),
inference(resolution,[],[f332,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(literal_reordering,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( rr(X1,X0)
| ~ rinvR(X0,X1) )
& ( rinvR(X0,X1)
| ~ rr(X1,X0) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ( rr(X0,X1)
| ~ rinvR(X1,X0) )
& ( rinvR(X1,X0)
| ~ rr(X0,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( rr(X0,X1)
<=> rinvR(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f332,plain,
rr(i2003_11_14_17_21_44786,sK4(sK2(i2003_11_14_17_21_44786))),
inference(resolution,[],[f316,f292]) ).
fof(f292,plain,
rr(i2003_11_14_17_21_44786,sK2(i2003_11_14_17_21_44786)),
inference(resolution,[],[f210,f219]) ).
fof(f210,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(literal_reordering,[],[f173]) ).
fof(f173,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f316,plain,
! [X0] :
( ~ rr(X0,sK2(i2003_11_14_17_21_44786))
| rr(X0,sK4(sK2(i2003_11_14_17_21_44786))) ),
inference(resolution,[],[f311,f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ rr(X2,X1)
| ~ rr(X0,X2)
| rr(X0,X1) ),
inference(literal_reordering,[],[f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ rr(X2,X1)
| ~ rr(X0,X2)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ rr(X2,X1)
| rr(X0,X1)
| ~ rr(X0,X2) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X2,X0] :
( ~ rr(X0,X2)
| rr(X1,X2)
| ~ rr(X1,X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( rr(X1,X2)
| ~ rr(X0,X2)
| ~ rr(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ( rr(X0,X2)
& rr(X1,X0) )
=> rr(X1,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X3,X7] :
( ( rr(X3,X4)
& rr(X4,X7) )
=> rr(X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f311,plain,
rr(sK2(i2003_11_14_17_21_44786),sK4(sK2(i2003_11_14_17_21_44786))),
inference(resolution,[],[f294,f219]) ).
fof(f294,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK2(X0),sK4(sK2(X0))) ),
inference(resolution,[],[f242,f208]) ).
fof(f242,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rr(X0,sK4(X0)) ),
inference(literal_reordering,[],[f183]) ).
fof(f183,plain,
! [X0] :
( rr(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:34:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.24/0.53 % (12720)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)
% 1.24/0.53 % (12721)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.24/0.53 % (12720)First to succeed.
% 1.24/0.54 % (12713)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.24/0.54 % (12729)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)
% 1.24/0.54 % (12720)Refutation found. Thanks to Tanya!
% 1.24/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.24/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.54 % (12720)------------------------------
% 1.24/0.54 % (12720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54 % (12720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.54 % (12720)Termination reason: Refutation
% 1.24/0.54
% 1.24/0.54 % (12720)Memory used [KB]: 5884
% 1.24/0.54 % (12720)Time elapsed: 0.006 s
% 1.24/0.54 % (12720)Instructions burned: 7 (million)
% 1.24/0.54 % (12720)------------------------------
% 1.24/0.54 % (12720)------------------------------
% 1.24/0.54 % (12705)Success in time 0.175 s
%------------------------------------------------------------------------------