TSTP Solution File: KRS111+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS111+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 : n019.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 17:30:50 EDT 2022
% Result : Unsatisfiable 1.55s 0.57s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 69 ( 9 unt; 0 def)
% Number of atoms : 219 ( 20 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 238 ( 88 ~; 80 |; 50 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 142 ( 114 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(subsumption_resolution,[],[f281,f274]) ).
fof(f274,plain,
cpxcomp(sK1(i2003_11_14_17_21_15425)),
inference(subsumption_resolution,[],[f273,f193]) ).
fof(f193,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f273,plain,
( cpxcomp(sK1(i2003_11_14_17_21_15425))
| ~ cUnsatisfiable(i2003_11_14_17_21_15425) ),
inference(superposition,[],[f166,f269]) ).
fof(f269,plain,
sK1(i2003_11_14_17_21_15425) = sK3(i2003_11_14_17_21_15425),
inference(subsumption_resolution,[],[f268,f193]) ).
fof(f268,plain,
( sK1(i2003_11_14_17_21_15425) = sK3(i2003_11_14_17_21_15425)
| ~ cUnsatisfiable(i2003_11_14_17_21_15425) ),
inference(resolution,[],[f257,f232]) ).
fof(f232,plain,
! [X0] :
( rf1(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f182,f169]) ).
fof(f169,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( ( cowlThing(sK1(X0))
& rs(X0,sK1(X0))
& cp(sK2(X0))
& rf(X0,sK2(X0))
& cpxcomp(sK3(X0))
& rf1(X0,sK3(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ~ cowlThing(X4)
| ~ rs(X0,X4) )
| ! [X5] :
( ~ cp(X5)
| ~ rf(X0,X5) )
| ! [X6] :
( ~ cpxcomp(X6)
| ~ rf1(X0,X6) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f130,f133,f132,f131]) ).
fof(f131,plain,
! [X0] :
( ? [X1] :
( cowlThing(X1)
& rs(X0,X1) )
=> ( cowlThing(sK1(X0))
& rs(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ? [X2] :
( cp(X2)
& rf(X0,X2) )
=> ( cp(sK2(X0))
& rf(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X3] :
( cpxcomp(X3)
& rf1(X0,X3) )
=> ( cpxcomp(sK3(X0))
& rf1(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ( ( ? [X1] :
( cowlThing(X1)
& rs(X0,X1) )
& ? [X2] :
( cp(X2)
& rf(X0,X2) )
& ? [X3] :
( cpxcomp(X3)
& rf1(X0,X3) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ~ cowlThing(X4)
| ~ rs(X0,X4) )
| ! [X5] :
( ~ cp(X5)
| ~ rf(X0,X5) )
| ! [X6] :
( ~ cpxcomp(X6)
| ~ rf1(X0,X6) ) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
& ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X3] :
( cpxcomp(X3)
& rf1(X0,X3) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X3] :
( ~ cpxcomp(X3)
| ~ rf1(X0,X3) ) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( ( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
& ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X3] :
( cpxcomp(X3)
& rf1(X0,X3) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X3] :
( ~ cpxcomp(X3)
| ~ rf1(X0,X3) ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
& ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X3] :
( cpxcomp(X3)
& rf1(X0,X3) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( rf(X3,X4)
& cp(X4) )
& ? [X4] :
( rs(X3,X4)
& cowlThing(X4) )
& ? [X4] :
( rf1(X3,X4)
& cpxcomp(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f182,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rf1(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rf1(X1,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( rs(X0,X1)
=> rf1(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f257,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_21_15425,X0)
| sK3(i2003_11_14_17_21_15425) = X0 ),
inference(resolution,[],[f242,f193]) ).
fof(f242,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf1(X0,X1)
| sK3(X0) = X1 ),
inference(resolution,[],[f154,f165]) ).
fof(f165,plain,
! [X0] :
( rf1(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X2,X1,X0] :
( X0 = X1
| ~ rf1(X2,X1)
| ~ rf1(X2,X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X2,X1,X0] :
( X0 = X1
| ~ rf1(X2,X1)
| ~ rf1(X2,X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X2,X1,X0] :
( ( rf1(X2,X1)
& rf1(X2,X0) )
=> X0 = X1 ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X6,X4,X3] :
( ( rf1(X3,X6)
& rf1(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f166,plain,
! [X0] :
( cpxcomp(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f281,plain,
~ cpxcomp(sK1(i2003_11_14_17_21_15425)),
inference(backward_demodulation,[],[f250,f279]) ).
fof(f279,plain,
sK1(i2003_11_14_17_21_15425) = sK2(i2003_11_14_17_21_15425),
inference(subsumption_resolution,[],[f278,f193]) ).
fof(f278,plain,
( sK1(i2003_11_14_17_21_15425) = sK2(i2003_11_14_17_21_15425)
| ~ cUnsatisfiable(i2003_11_14_17_21_15425) ),
inference(resolution,[],[f258,f233]) ).
fof(f233,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f187,f169]) ).
fof(f187,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( rs(X0,X1)
=> rf(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f258,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_15425,X0)
| sK2(i2003_11_14_17_21_15425) = X0 ),
inference(resolution,[],[f243,f193]) ).
fof(f243,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ rf(X1,X0)
| sK2(X1) = X0 ),
inference(resolution,[],[f179,f167]) ).
fof(f167,plain,
! [X0] :
( rf(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ rf(X2,X1)
| ~ rf(X2,X0)
| X0 = X1 ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X1,X0,X2] :
( X0 = X1
| ~ rf(X2,X1)
| ~ rf(X2,X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0,X2] :
( ( rf(X2,X1)
& rf(X2,X0) )
=> X0 = X1 ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X6,X4,X3] :
( ( rf(X3,X6)
& rf(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f250,plain,
~ cpxcomp(sK2(i2003_11_14_17_21_15425)),
inference(resolution,[],[f247,f158]) ).
fof(f158,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK0(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f123,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cpxcomp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f247,plain,
! [X0] : ~ ra_Px1(sK2(i2003_11_14_17_21_15425),X0),
inference(resolution,[],[f227,f193]) ).
fof(f227,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ ra_Px1(sK2(X0),X1) ),
inference(resolution,[],[f172,f168]) ).
fof(f168,plain,
! [X0] :
( cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f172,plain,
! [X0,X1] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) )
& ( cp(X0)
| ra_Px1(X0,sK4(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) )
& ( cp(X0)
| ? [X2] : ra_Px1(X0,X2) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) )
& ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
<=> cp(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ ? [X1] : ra_Px1(X0,X1)
<=> cp(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ~ ? [X4] : ra_Px1(X3,X4)
<=> cp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS111+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % 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 : n019.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 00:36:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (5271)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (5257)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)
% 0.20/0.55 % (5269)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (5248)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)
% 0.20/0.55 % (5261)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (5250)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (5250)Instruction limit reached!
% 0.20/0.55 % (5250)------------------------------
% 0.20/0.55 % (5250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5250)Termination reason: Unknown
% 0.20/0.55 % (5250)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (5250)Memory used [KB]: 895
% 0.20/0.55 % (5250)Time elapsed: 0.002 s
% 0.20/0.55 % (5250)Instructions burned: 2 (million)
% 0.20/0.55 % (5250)------------------------------
% 0.20/0.55 % (5250)------------------------------
% 0.20/0.56 % (5263)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (5263)First to succeed.
% 1.55/0.56 % (5265)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)
% 1.55/0.56 % (5245)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.56 % (5255)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.55/0.56 % (5253)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.57 % (5266)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.55/0.57 % (5256)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)
% 1.55/0.57 TRYING [1]
% 1.55/0.57 TRYING [2]
% 1.55/0.57 TRYING [3]
% 1.55/0.57 TRYING [4]
% 1.55/0.57 % (5263)Refutation found. Thanks to Tanya!
% 1.55/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.57 % (5263)------------------------------
% 1.55/0.57 % (5263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (5263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (5263)Termination reason: Refutation
% 1.55/0.57
% 1.55/0.57 % (5263)Memory used [KB]: 5500
% 1.55/0.57 % (5263)Time elapsed: 0.159 s
% 1.55/0.57 % (5263)Instructions burned: 4 (million)
% 1.55/0.57 % (5263)------------------------------
% 1.55/0.57 % (5263)------------------------------
% 1.55/0.57 % (5241)Success in time 0.22 s
%------------------------------------------------------------------------------