TSTP Solution File: KRS101+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS101+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 07:19:32 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 53 ( 13 unt; 0 def)
% Number of atoms : 265 ( 34 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 330 ( 118 ~; 95 |; 95 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 135 ( 90 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(unit_resulting_resolution,[],[f141,f131,f135,f137,f133,f116]) ).
fof(f116,plain,
! [X6,X4,X5] :
( ~ rs(X4,X6)
| X5 = X6
| cc(X4)
| ~ rs(X4,X5)
| ~ sP11(X4) ),
inference(general_splitting,[],[f83,f115_D]) ).
fof(f115,plain,
! [X0,X4] :
( ~ rr(X0,X4)
| ~ sP0(X0)
| sP11(X4) ),
inference(cnf_transformation,[],[f115_D]) ).
fof(f115_D,plain,
! [X4] :
( ! [X0] :
( ~ rr(X0,X4)
| ~ sP0(X0) )
<=> ~ sP11(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f83,plain,
! [X0,X6,X4,X5] :
( cc(X4)
| X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5)
| ~ rr(X0,X4)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( sP0(X0)
| ( ~ cc(sK7(X0))
& sK8(X0) != sK9(X0)
& rs(sK7(X0),sK9(X0))
& rs(sK7(X0),sK8(X0))
& rr(X0,sK7(X0)) ) )
& ( ! [X4] :
( cc(X4)
| ! [X5,X6] :
( X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5) )
| ~ rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f62,f64,f63]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( ~ cc(X1)
& ? [X2,X3] :
( X2 != X3
& rs(X1,X3)
& rs(X1,X2) )
& rr(X0,X1) )
=> ( ~ cc(sK7(X0))
& ? [X3,X2] :
( X2 != X3
& rs(sK7(X0),X3)
& rs(sK7(X0),X2) )
& rr(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X3,X2] :
( X2 != X3
& rs(sK7(X0),X3)
& rs(sK7(X0),X2) )
=> ( sK8(X0) != sK9(X0)
& rs(sK7(X0),sK9(X0))
& rs(sK7(X0),sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ~ cc(X1)
& ? [X2,X3] :
( X2 != X3
& rs(X1,X3)
& rs(X1,X2) )
& rr(X0,X1) ) )
& ( ! [X4] :
( cc(X4)
| ! [X5,X6] :
( X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5) )
| ~ rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sP0(X0)
| ? [X4] :
( ~ cc(X4)
& ? [X5,X6] :
( X5 != X6
& rs(X4,X6)
& rs(X4,X5) )
& rr(X0,X4) ) )
& ( ! [X4] :
( cc(X4)
| ! [X5,X6] :
( X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5) )
| ~ rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( sP0(X0)
<=> ! [X4] :
( cc(X4)
| ! [X5,X6] :
( X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5) )
| ~ rr(X0,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f133,plain,
rs(sK4(i2003_11_14_17_20_36582),sK5(i2003_11_14_17_20_36582)),
inference(unit_resulting_resolution,[],[f120,f79]) ).
fof(f79,plain,
! [X0] :
( ~ sP1(X0)
| rs(sK4(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2,X3] :
( X2 = X3
| ~ rs(X1,X3)
| ~ rs(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ( sK5(X0) != sK6(X0)
& rs(sK4(X0),sK6(X0))
& rs(sK4(X0),sK5(X0))
& rr(X0,sK4(X0)) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f57,f59,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X4] :
( ? [X5,X6] :
( X5 != X6
& rs(X4,X6)
& rs(X4,X5) )
& rr(X0,X4) )
=> ( ? [X6,X5] :
( X5 != X6
& rs(sK4(X0),X6)
& rs(sK4(X0),X5) )
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X6,X5] :
( X5 != X6
& rs(sK4(X0),X6)
& rs(sK4(X0),X5) )
=> ( sK5(X0) != sK6(X0)
& rs(sK4(X0),sK6(X0))
& rs(sK4(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2,X3] :
( X2 = X3
| ~ rs(X1,X3)
| ~ rs(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ? [X4] :
( ? [X5,X6] :
( X5 != X6
& rs(X4,X6)
& rs(X4,X5) )
& rr(X0,X4) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2,X3] :
( X2 = X3
| ~ rs(X1,X3)
| ~ rs(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ? [X1] :
( ? [X2,X3] :
( X2 != X3
& rs(X1,X3)
& rs(X1,X2) )
& rr(X0,X1) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( sP1(X0)
<=> ? [X1] :
( ? [X2,X3] :
( X2 != X3
& rs(X1,X3)
& rs(X1,X2) )
& rr(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f120,plain,
sP1(i2003_11_14_17_20_36582),
inference(unit_resulting_resolution,[],[f118,f75]) ).
fof(f75,plain,
! [X0] :
( ~ sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ( ~ cd(sK3(X0))
& rr(X0,sK3(X0)) ) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) ) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f53,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( ~ cd(X1)
& rr(X0,X1) )
=> ( ~ cd(sK3(X0))
& rr(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ? [X1] :
( ~ cd(X1)
& rr(X0,X1) ) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) ) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ? [X7] :
( ~ cd(X7)
& rr(X0,X7) ) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X7] :
( cd(X7)
| ~ rr(X0,X7) ) )
| ~ sP2(X0) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| ? [X7] :
( ~ cd(X7)
& rr(X0,X7) ) )
& ( ( sP1(X0)
& sP0(X0)
& ! [X7] :
( cd(X7)
| ~ rr(X0,X7) ) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sP2(X0)
<=> ( sP1(X0)
& sP0(X0)
& ! [X7] :
( cd(X7)
| ~ rr(X0,X7) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f118,plain,
sP2(i2003_11_14_17_20_36582),
inference(unit_resulting_resolution,[],[f67,f89]) ).
fof(f89,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP2(X0) ),
inference(definition_folding,[],[f23,f48,f47,f46]) ).
fof(f23,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2,X3] :
( X2 != X3
& rs(X1,X3)
& rs(X1,X2) )
& rr(X0,X1) )
& ! [X4] :
( cc(X4)
| ! [X5,X6] :
( X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5) )
| ~ rr(X0,X4) )
& ! [X7] :
( cd(X7)
| ~ rr(X0,X7) ) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2,X3] :
( X2 != X3
& rs(X1,X3)
& rs(X1,X2) )
& rr(X0,X1) )
& ! [X4] :
( cc(X4)
| ! [X5,X6] :
( X5 = X6
| ~ rs(X4,X6)
| ~ rs(X4,X5) )
| ~ rr(X0,X4) )
& ! [X7] :
( cd(X7)
| ~ rr(X0,X7) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ~ ! [X2,X3] :
( ( rs(X1,X3)
& rs(X1,X2) )
=> X2 = X3 )
& rr(X0,X1) )
& ! [X4] :
( rr(X0,X4)
=> ( cc(X4)
| ~ ? [X5,X6] :
( X5 != X6
& rs(X4,X6)
& rs(X4,X5) ) ) )
& ! [X7] :
( rr(X0,X7)
=> cd(X7) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( ~ ! [X5,X6] :
( ( rs(X4,X6)
& rs(X4,X5) )
=> X5 = X6 )
& rr(X3,X4) )
& ! [X4] :
( rr(X3,X4)
=> ( cc(X4)
| ~ ? [X5,X6] :
( X5 != X6
& rs(X4,X6)
& rs(X4,X5) ) ) )
& ! [X4] :
( rr(X3,X4)
=> cd(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f67,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
cUnsatisfiable(i2003_11_14_17_20_36582),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f137,plain,
sK5(i2003_11_14_17_20_36582) != sK6(i2003_11_14_17_20_36582),
inference(unit_resulting_resolution,[],[f120,f81]) ).
fof(f81,plain,
! [X0] :
( ~ sP1(X0)
| sK5(X0) != sK6(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f135,plain,
rs(sK4(i2003_11_14_17_20_36582),sK6(i2003_11_14_17_20_36582)),
inference(unit_resulting_resolution,[],[f120,f80]) ).
fof(f80,plain,
! [X0] :
( ~ sP1(X0)
| rs(sK4(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f131,plain,
~ cc(sK4(i2003_11_14_17_20_36582)),
inference(unit_resulting_resolution,[],[f128,f70]) ).
fof(f70,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( cc(X0)
=> ~ cd(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( cc(X3)
=> ~ cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f128,plain,
cd(sK4(i2003_11_14_17_20_36582)),
inference(unit_resulting_resolution,[],[f118,f126,f73]) ).
fof(f73,plain,
! [X2,X0] :
( ~ rr(X0,X2)
| cd(X2)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f126,plain,
rr(i2003_11_14_17_20_36582,sK4(i2003_11_14_17_20_36582)),
inference(unit_resulting_resolution,[],[f120,f78]) ).
fof(f78,plain,
! [X0] :
( ~ sP1(X0)
| rr(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f141,plain,
sP11(sK4(i2003_11_14_17_20_36582)),
inference(unit_resulting_resolution,[],[f121,f126,f115]) ).
fof(f121,plain,
sP0(i2003_11_14_17_20_36582),
inference(unit_resulting_resolution,[],[f118,f74]) ).
fof(f74,plain,
! [X0] :
( ~ sP2(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % 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 19:54:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (32623)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (32626)WARNING: value z3 for option sas not known
% 0.14/0.38 % (32625)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (32624)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (32627)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (32626)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)
% 0.14/0.38 % (32628)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)
% 0.14/0.38 % (32629)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)
% 0.14/0.38 % (32630)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)
% 0.21/0.38 % (32630)First to succeed.
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (32630)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32623"
% 0.21/0.38 % (32629)Also succeeded, but the first one will report.
% 0.21/0.38 % (32626)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [4]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (32630)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (32630)------------------------------
% 0.21/0.38 % (32630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (32630)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (32630)Memory used [KB]: 839
% 0.21/0.38 % (32630)Time elapsed: 0.006 s
% 0.21/0.38 % (32630)Instructions burned: 7 (million)
% 0.21/0.38 % (32623)Success in time 0.022 s
%------------------------------------------------------------------------------