TSTP Solution File: KRS099+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS099+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 : n015.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 07:19:31 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 248 ( 60 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 319 ( 110 ~; 83 |; 108 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 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(f172,plain,
$false,
inference(unit_resulting_resolution,[],[f124,f134,f154,f132,f91]) ).
fof(f91,plain,
! [X3,X0,X4] :
( ~ rtt(X0,X4)
| X3 = X4
| ~ rtt(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( sP1(X0)
| ( sK8(X0) != sK9(X0)
& rtt(X0,sK9(X0))
& rtt(X0,sK8(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rtt(X0,X4)
| ~ rtt(X0,X3) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f63,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rtt(X0,X2)
& rtt(X0,X1) )
=> ( sK8(X0) != sK9(X0)
& rtt(X0,sK9(X0))
& rtt(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ( sP1(X0)
| ? [X1,X2] :
( X1 != X2
& rtt(X0,X2)
& rtt(X0,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rtt(X0,X4)
| ~ rtt(X0,X3) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( sP1(X0)
| ? [X1,X2] :
( X1 != X2
& rtt(X0,X2)
& rtt(X0,X1) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ rtt(X0,X2)
| ~ rtt(X0,X1) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sP1(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ rtt(X0,X2)
| ~ rtt(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f132,plain,
rtt(i2003_11_14_17_20_29215,sK5(i2003_11_14_17_20_29215)),
inference(unit_resulting_resolution,[],[f126,f84]) ).
fof(f84,plain,
! [X0] :
( ~ sP2(X0)
| rtt(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sP2(X0)
| ! [X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rtt(X0,X3)
| ~ rtt(X0,X2)
| ~ rtt(X0,X1) ) )
& ( ( sK6(X0) != sK7(X0)
& sK5(X0) != sK7(X0)
& sK5(X0) != sK6(X0)
& rtt(X0,sK7(X0))
& rtt(X0,sK6(X0))
& rtt(X0,sK5(X0)) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f59,f60]) ).
fof(f60,plain,
! [X0] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rtt(X0,X6)
& rtt(X0,X5)
& rtt(X0,X4) )
=> ( sK6(X0) != sK7(X0)
& sK5(X0) != sK7(X0)
& sK5(X0) != sK6(X0)
& rtt(X0,sK7(X0))
& rtt(X0,sK6(X0))
& rtt(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ( sP2(X0)
| ! [X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rtt(X0,X3)
| ~ rtt(X0,X2)
| ~ rtt(X0,X1) ) )
& ( ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rtt(X0,X6)
& rtt(X0,X5)
& rtt(X0,X4) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( sP2(X0)
| ! [X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| ~ rtt(X0,X8)
| ~ rtt(X0,X7)
| ~ rtt(X0,X6) ) )
& ( ? [X6,X7,X8] :
( X7 != X8
& X6 != X8
& X6 != X7
& rtt(X0,X8)
& rtt(X0,X7)
& rtt(X0,X6) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( sP2(X0)
<=> ? [X6,X7,X8] :
( X7 != X8
& X6 != X8
& X6 != X7
& rtt(X0,X8)
& rtt(X0,X7)
& rtt(X0,X6) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f126,plain,
sP2(i2003_11_14_17_20_29215),
inference(unit_resulting_resolution,[],[f122,f78]) ).
fof(f78,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( sP3(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ( ~ ca(sK4(X0))
& rtt(X0,sK4(X0)) )
| ~ sP2(X0) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X2] :
( ca(X2)
| ~ rtt(X0,X2) )
& sP2(X0) )
| ~ sP3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f55,f56]) ).
fof(f56,plain,
! [X0] :
( ? [X1] :
( ~ ca(X1)
& rtt(X0,X1) )
=> ( ~ ca(sK4(X0))
& rtt(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ( sP3(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ? [X1] :
( ~ ca(X1)
& rtt(X0,X1) )
| ~ sP2(X0) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X2] :
( ca(X2)
| ~ rtt(X0,X2) )
& sP2(X0) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( sP3(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ? [X5] :
( ~ ca(X5)
& rtt(X0,X5) )
| ~ sP2(X0) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X5] :
( ca(X5)
| ~ rtt(X0,X5) )
& sP2(X0) )
| ~ sP3(X0) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( sP3(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ? [X5] :
( ~ ca(X5)
& rtt(X0,X5) )
| ~ sP2(X0) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X5] :
( ca(X5)
| ~ rtt(X0,X5) )
& sP2(X0) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( sP3(X0)
<=> ( sP1(X0)
& sP0(X0)
& ! [X5] :
( ca(X5)
| ~ rtt(X0,X5) )
& sP2(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f122,plain,
sP3(i2003_11_14_17_20_29215),
inference(unit_resulting_resolution,[],[f71,f99]) ).
fof(f99,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP3(X0) )
& ( sP3(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP3(X0) ),
inference(definition_folding,[],[f26,f50,f49,f48,f47]) ).
fof(f47,plain,
! [X0] :
( sP0(X0)
<=> ! [X3,X4] :
( X3 = X4
| ~ rtt(X0,X4)
| ~ rtt(X0,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rtt(X0,X2)
| ~ rtt(X0,X1) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X0,X4)
| ~ rtt(X0,X3) )
& ! [X5] :
( ca(X5)
| ~ rtt(X0,X5) )
& ? [X6,X7,X8] :
( X7 != X8
& X6 != X8
& X6 != X7
& rtt(X0,X8)
& rtt(X0,X7)
& rtt(X0,X6) ) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rtt(X0,X2)
| ~ rtt(X0,X1) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X0,X4)
| ~ rtt(X0,X3) )
& ! [X5] :
( ca(X5)
| ~ rtt(X0,X5) )
& ? [X6,X7,X8] :
( X7 != X8
& X6 != X8
& X6 != X7
& rtt(X0,X8)
& rtt(X0,X7)
& rtt(X0,X6) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( ( rtt(X0,X2)
& rtt(X0,X1) )
=> X1 = X2 )
& ! [X3,X4] :
( ( rtt(X0,X4)
& rtt(X0,X3) )
=> X3 = X4 )
& ! [X5] :
( rtt(X0,X5)
=> ca(X5) )
& ? [X6,X7,X8] :
( X7 != X8
& X6 != X8
& X6 != X7
& rtt(X0,X8)
& rtt(X0,X7)
& rtt(X0,X6) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ! [X4,X5] :
( ( rtt(X3,X5)
& rtt(X3,X4) )
=> X4 = X5 )
& ! [X4,X5] :
( ( rtt(X3,X5)
& rtt(X3,X4) )
=> X4 = X5 )
& ! [X7] :
( rtt(X3,X7)
=> ca(X7) )
& ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rtt(X3,X6)
& rtt(X3,X5)
& rtt(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f71,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
cUnsatisfiable(i2003_11_14_17_20_29215),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f154,plain,
sK5(i2003_11_14_17_20_29215) != sK6(i2003_11_14_17_20_29215),
inference(unit_resulting_resolution,[],[f126,f87]) ).
fof(f87,plain,
! [X0] :
( ~ sP2(X0)
| sK5(X0) != sK6(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f134,plain,
rtt(i2003_11_14_17_20_29215,sK6(i2003_11_14_17_20_29215)),
inference(unit_resulting_resolution,[],[f126,f85]) ).
fof(f85,plain,
! [X0] :
( ~ sP2(X0)
| rtt(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f124,plain,
sP1(i2003_11_14_17_20_29215),
inference(unit_resulting_resolution,[],[f122,f81]) ).
fof(f81,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.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 : Fri May 3 19:51:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (19458)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (19461)WARNING: value z3 for option sas not known
% 0.22/0.37 % (19460)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 % (19459)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37 % (19462)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.37 % (19461)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)
% 0.22/0.37 % (19463)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 % (19465)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 % (19464)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)
% 0.22/0.38 % (19465)First to succeed.
% 0.22/0.38 % (19465)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19458"
% 0.22/0.38 % (19461)Also succeeded, but the first one will report.
% 0.22/0.38 % (19464)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 % (19465)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 % (19465)------------------------------
% 0.22/0.38 % (19465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (19465)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (19465)Memory used [KB]: 857
% 0.22/0.38 % (19465)Time elapsed: 0.006 s
% 0.22/0.38 % (19465)Instructions burned: 7 (million)
% 0.22/0.38 % (19458)Success in time 0.022 s
%------------------------------------------------------------------------------