TSTP Solution File: KRS127+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS127+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 : n004.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 07:19:36 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 205 ( 15 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 226 ( 75 ~; 66 |; 65 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 110 ( 76 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f183,plain,
$false,
inference(subsumption_resolution,[],[f177,f145]) ).
fof(f145,plain,
~ cc(sK4(i2003_11_14_17_22_27794)),
inference(unit_resulting_resolution,[],[f140,f78]) ).
fof(f78,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( cc(X3)
=> cdxcomp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f140,plain,
~ cdxcomp(sK4(i2003_11_14_17_22_27794)),
inference(unit_resulting_resolution,[],[f130,f93]) ).
fof(f93,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK6(X0))
| ~ cdxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK6(X0)) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cdxcomp(X0) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cdxcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f130,plain,
! [X0] : ~ ra_Px1(sK4(i2003_11_14_17_22_27794),X0),
inference(unit_resulting_resolution,[],[f128,f81]) ).
fof(f81,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( cd(X0)
| ra_Px1(X0,sK1(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cd(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f58,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ( cd(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cd(X0) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( cd(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( cd(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cd(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f128,plain,
cd(sK4(i2003_11_14_17_22_27794)),
inference(unit_resulting_resolution,[],[f75,f90]) ).
fof(f90,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK4(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cc(X2)
| ~ rr(X0,X2) ) )
& ( ( sP0(X0)
& cd(sK4(X0))
& rr(X0,sK4(X0))
& cc(sK5(X0))
& rr(X0,sK5(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f67,f69,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X3] :
( cd(X3)
& rr(X0,X3) )
=> ( cd(sK4(X0))
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X4] :
( cc(X4)
& rr(X0,X4) )
=> ( cc(sK5(X0))
& rr(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cc(X2)
| ~ rr(X0,X2) ) )
& ( ( sP0(X0)
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X3] :
( ~ cd(X3)
| ~ rr(X0,X3) )
| ! [X4] :
( ~ cc(X4)
| ~ rr(X0,X4) ) )
& ( ( sP0(X0)
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X3] :
( ~ cd(X3)
| ~ rr(X0,X3) )
| ! [X4] :
( ~ cc(X4)
| ~ rr(X0,X4) ) )
& ( ( sP0(X0)
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( sP0(X0)
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) ) ),
inference(definition_folding,[],[f29,f54]) ).
fof(f54,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f29,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( ( rr(X0,X2)
& rr(X0,X1) )
=> X1 = X2 )
& ? [X3] :
( cd(X3)
& rr(X0,X3) )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ! [X5,X6] :
( ( rr(X3,X6)
& rr(X3,X5) )
=> X5 = X6 )
& ? [X4] :
( cd(X4)
& rr(X3,X4) )
& ? [X4] :
( cc(X4)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f75,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f177,plain,
cc(sK4(i2003_11_14_17_22_27794)),
inference(superposition,[],[f124,f169]) ).
fof(f169,plain,
sK5(i2003_11_14_17_22_27794) = sK4(i2003_11_14_17_22_27794),
inference(unit_resulting_resolution,[],[f122,f135,f137,f83]) ).
fof(f83,plain,
! [X3,X0,X4] :
( ~ rr(X0,X4)
| X3 = X4
| ~ rr(X0,X3)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != sK3(X0)
& rr(X0,sK3(X0))
& rr(X0,sK2(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f62,f63]) ).
fof(f63,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK2(X0) != sK3(X0)
& rr(X0,sK3(X0))
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f137,plain,
rr(i2003_11_14_17_22_27794,sK4(i2003_11_14_17_22_27794)),
inference(unit_resulting_resolution,[],[f75,f89]) ).
fof(f89,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f135,plain,
rr(i2003_11_14_17_22_27794,sK5(i2003_11_14_17_22_27794)),
inference(unit_resulting_resolution,[],[f75,f87]) ).
fof(f87,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f122,plain,
sP0(i2003_11_14_17_22_27794),
inference(unit_resulting_resolution,[],[f75,f91]) ).
fof(f91,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f124,plain,
cc(sK5(i2003_11_14_17_22_27794)),
inference(unit_resulting_resolution,[],[f75,f88]) ).
fof(f88,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(sK5(X0)) ),
inference(cnf_transformation,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n004.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 19:51:08 EDT 2024
% 0.22/0.35 % CPUTime :
% 0.22/0.36 % (1491)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (1494)WARNING: value z3 for option sas not known
% 0.22/0.37 % (1493)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.37 % (1495)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.37 % (1497)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)
% 0.22/0.37 % (1496)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)
% 0.22/0.37 % (1498)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)
% 0.22/0.37 % (1492)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37 % (1494)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (1498)First to succeed.
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 % (1497)Also succeeded, but the first one will report.
% 0.22/0.38 % (1498)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1491"
% 0.22/0.38 % (1496)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [5]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [5]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (1494)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (1498)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (1498)------------------------------
% 0.22/0.38 % (1498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (1498)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (1498)Memory used [KB]: 836
% 0.22/0.38 % (1498)Time elapsed: 0.006 s
% 0.22/0.38 % (1498)Instructions burned: 6 (million)
% 0.22/0.38 % (1491)Success in time 0.03 s
%------------------------------------------------------------------------------