TSTP Solution File: KRS119+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 07:19:35 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 6 unt; 0 def)
% Number of atoms : 230 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 268 ( 105 ~; 86 |; 54 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 100 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(resolution,[],[f211,f112]) ).
fof(f112,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/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f211,plain,
~ cUnsatisfiable(i2003_11_14_17_21_44786),
inference(resolution,[],[f209,f129]) ).
fof(f129,plain,
! [X0] :
( rr(X0,sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ca_Vx3(sK4(X0))
& rr(X0,sK4(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f107,f108]) ).
fof(f108,plain,
! [X0] :
( ? [X2] :
( ca_Vx3(X2)
& rr(X0,X2) )
=> ( ca_Vx3(sK4(X0))
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ? [X2] :
( ca_Vx3(X2)
& rr(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( ca_Vx3(X4)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f209,plain,
~ rr(i2003_11_14_17_21_44786,sK4(i2003_11_14_17_21_44786)),
inference(resolution,[],[f207,f112]) ).
fof(f207,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_44786)
| ~ rr(i2003_11_14_17_21_44786,sK4(i2003_11_14_17_21_44786)) ),
inference(resolution,[],[f204,f130]) ).
fof(f130,plain,
! [X0] :
( ca_Vx3(sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f204,plain,
( ~ ca_Vx3(sK4(i2003_11_14_17_21_44786))
| ~ rr(i2003_11_14_17_21_44786,sK4(i2003_11_14_17_21_44786)) ),
inference(resolution,[],[f197,f124]) ).
fof(f124,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rr(X0,X1) ) )
& ( ( ca_Ax2(sK2(X0))
& rr(X0,sK2(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f98,f99]) ).
fof(f99,plain,
! [X0] :
( ? [X2] :
( ca_Ax2(X2)
& rr(X0,X2) )
=> ( ca_Ax2(sK2(X0))
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rr(X0,X1) ) )
& ( ? [X2] :
( ca_Ax2(X2)
& rr(X0,X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rr(X0,X1) ) )
& ( ? [X1] :
( ca_Ax2(X1)
& rr(X0,X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( ca_Ax2(X1)
& rr(X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( ca_Ax2(X4)
& rr(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f197,plain,
! [X0] :
( ~ rr(X0,sK2(sK4(i2003_11_14_17_21_44786)))
| ~ rr(i2003_11_14_17_21_44786,X0) ),
inference(resolution,[],[f195,f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( rr(X1,X2)
& rr(X0,X1) )
=> rr(X0,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X3,X4,X7] :
( ( rr(X4,X7)
& rr(X3,X4) )
=> rr(X3,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f195,plain,
~ rr(i2003_11_14_17_21_44786,sK2(sK4(i2003_11_14_17_21_44786))),
inference(resolution,[],[f192,f112]) ).
fof(f192,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,sK2(sK4(i2003_11_14_17_21_44786))) ),
inference(resolution,[],[f190,f131]) ).
fof(f131,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f190,plain,
! [X0] :
( ~ cp1(X0)
| ~ rr(X0,sK2(sK4(i2003_11_14_17_21_44786))) ),
inference(resolution,[],[f188,f112]) ).
fof(f188,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ cp1(X0)
| ~ rr(X0,sK2(sK4(X1))) ),
inference(resolution,[],[f184,f130]) ).
fof(f184,plain,
! [X0,X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,sK2(X1))
| ~ cp1(X0) ),
inference(resolution,[],[f183,f125]) ).
fof(f125,plain,
! [X0] :
( ca_Ax2(sK2(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f183,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| ~ cp1(X1)
| ~ rr(X1,X0) ),
inference(resolution,[],[f180,f145]) ).
fof(f145,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f180,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| ~ ca_Ax2(X0)
| ~ cp1(X1) ),
inference(resolution,[],[f119,f177]) ).
fof(f177,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ~ cp1(X0) ),
inference(resolution,[],[f122,f127]) ).
fof(f127,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( cp1(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f102,f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( cp1(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f122,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK1(X0))
| ~ cp1xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f94,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cp1xcomp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cp1xcomp(X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( cp1xcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f119,plain,
! [X2,X0] :
( cp1xcomp(X2)
| ~ rinvR(X0,X2)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( ca_Ax2(X0)
| ( ~ cp1xcomp(sK0(X0))
& rinvR(X0,sK0(X0)) )
| ~ cp1(X0) )
& ( ( ! [X2] :
( cp1xcomp(X2)
| ~ rinvR(X0,X2) )
& cp1(X0) )
| ~ ca_Ax2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f90,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( ~ cp1xcomp(X1)
& rinvR(X0,X1) )
=> ( ~ cp1xcomp(sK0(X0))
& rinvR(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ cp1xcomp(X1)
& rinvR(X0,X1) )
| ~ cp1(X0) )
& ( ( ! [X2] :
( cp1xcomp(X2)
| ~ rinvR(X0,X2) )
& cp1(X0) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ cp1xcomp(X1)
& rinvR(X0,X1) )
| ~ cp1(X0) )
& ( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ cp1xcomp(X1)
& rinvR(X0,X1) )
| ~ cp1(X0) )
& ( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> cp1xcomp(X1) )
& cp1(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ca_Ax2(X3)
<=> ( ! [X4] :
( rinvR(X3,X4)
=> cp1xcomp(X4) )
& cp1(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:51:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16140)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16143)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16144)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16141)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16142)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16143)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (16145)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (16146)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (16147)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (16146)First to succeed.
% 0.15/0.38 % (16147)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (16146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16140"
% 0.15/0.38 % (16143)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (16146)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (16146)------------------------------
% 0.15/0.38 % (16146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (16146)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (16146)Memory used [KB]: 901
% 0.15/0.38 % (16146)Time elapsed: 0.006 s
% 0.15/0.38 % (16146)Instructions burned: 7 (million)
% 0.15/0.38 % (16140)Success in time 0.022 s
%------------------------------------------------------------------------------