TSTP Solution File: KRS107+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS107+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 07:19:33 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 16 unt; 0 def)
% Number of atoms : 219 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 230 ( 80 ~; 72 |; 56 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 118 ( 91 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,plain,
$false,
inference(subsumption_resolution,[],[f341,f283]) ).
fof(f283,plain,
cc2(sK3(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f178,f196]) ).
fof(f196,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc2(sK3(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ca_Cx1(X0)
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4(X0,X1) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3(X0,X2) ) )
& ( ( ca_Cx1(X0)
& cc2(sK3(X0))
& rrx4(X0,sK3(X0))
& cc1(sK4(X0))
& rrx3(X0,sK4(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f174,f176,f175]) ).
fof(f175,plain,
! [X0] :
( ? [X3] :
( cc2(X3)
& rrx4(X0,X3) )
=> ( cc2(sK3(X0))
& rrx4(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0] :
( ? [X4] :
( cc1(X4)
& rrx3(X0,X4) )
=> ( cc1(sK4(X0))
& rrx3(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ca_Cx1(X0)
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4(X0,X1) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3(X0,X2) ) )
& ( ( ca_Cx1(X0)
& ? [X3] :
( cc2(X3)
& rrx4(X0,X3) )
& ? [X4] :
( cc1(X4)
& rrx3(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ca_Cx1(X0)
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4(X0,X1) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3(X0,X2) ) )
& ( ( ca_Cx1(X0)
& ? [X1] :
( cc2(X1)
& rrx4(X0,X1) )
& ? [X2] :
( cc1(X2)
& rrx3(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ca_Cx1(X0)
| ! [X1] :
( ~ cc2(X1)
| ~ rrx4(X0,X1) )
| ! [X2] :
( ~ cc1(X2)
| ~ rrx3(X0,X2) ) )
& ( ( ca_Cx1(X0)
& ? [X1] :
( cc2(X1)
& rrx4(X0,X1) )
& ? [X2] :
( cc1(X2)
& rrx3(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ca_Cx1(X0)
& ? [X1] :
( cc2(X1)
& rrx4(X0,X1) )
& ? [X2] :
( cc1(X2)
& rrx3(X0,X2) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ca_Cx1(X3)
& ? [X4] :
( cc2(X4)
& rrx4(X3,X4) )
& ? [X4] :
( cc1(X4)
& rrx3(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f178,plain,
cUnsatisfiable(i2003_11_14_17_21_01226),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
cUnsatisfiable(i2003_11_14_17_21_01226),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f341,plain,
~ cc2(sK3(i2003_11_14_17_21_01226)),
inference(superposition,[],[f316,f335]) ).
fof(f335,plain,
sK4(i2003_11_14_17_21_01226) = sK3(i2003_11_14_17_21_01226),
inference(unit_resulting_resolution,[],[f308,f310,f243]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ rrx(X0,X2)
| X1 = X2
| ~ rrx(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rrx(X0,X2)
| ~ rrx(X0,X1) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rrx(X0,X2)
| ~ rrx(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( rrx(X0,X2)
& rrx(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3,X4,X6] :
( ( rrx(X3,X6)
& rrx(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f310,plain,
rrx(i2003_11_14_17_21_01226,sK4(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f304,f206]) ).
fof(f206,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| rrx(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( rrx(X0,X1)
| ~ rrx3(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( rrx3(X0,X1)
=> rrx(X0,X1) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X3,X4] :
( rrx3(X3,X4)
=> rrx(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f304,plain,
rrx3(i2003_11_14_17_21_01226,sK4(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f178,f193]) ).
fof(f193,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rrx3(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f308,plain,
rrx(i2003_11_14_17_21_01226,sK3(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f306,f204]) ).
fof(f204,plain,
! [X0,X1] :
( ~ rrx4(X0,X1)
| rrx(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( rrx(X0,X1)
| ~ rrx4(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( rrx4(X0,X1)
=> rrx(X0,X1) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X3,X4] :
( rrx4(X3,X4)
=> rrx(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f306,plain,
rrx4(i2003_11_14_17_21_01226,sK3(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f178,f195]) ).
fof(f195,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rrx4(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f316,plain,
~ cc2(sK4(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f281,f313,f185]) ).
fof(f185,plain,
! [X0] :
( ~ cc2(X0)
| ~ cc1(X0)
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cc1(X0)
| ~ cc2(X0) )
& ( ( cc1(X0)
& cc2(X0) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cc1(X0)
| ~ cc2(X0) )
& ( ( cc1(X0)
& cc2(X0) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cc1(X0)
& cc2(X0) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X3] :
( ca_Ax2(X3)
<=> ( cc1(X3)
& cc2(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f313,plain,
~ ca_Ax2(sK4(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f293,f304,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| ~ ca_Ax2(X1)
| ca_Cx1xcomp(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( ca_Cx1xcomp(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rrx3(X0,X1) ) )
& ( ( ca_Ax2(sK2(X0))
& rrx3(X0,sK2(X0)) )
| ~ ca_Cx1xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f169,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X2] :
( ca_Ax2(X2)
& rrx3(X0,X2) )
=> ( ca_Ax2(sK2(X0))
& rrx3(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ( ca_Cx1xcomp(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rrx3(X0,X1) ) )
& ( ? [X2] :
( ca_Ax2(X2)
& rrx3(X0,X2) )
| ~ ca_Cx1xcomp(X0) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( ca_Cx1xcomp(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rrx3(X0,X1) ) )
& ( ? [X1] :
( ca_Ax2(X1)
& rrx3(X0,X1) )
| ~ ca_Cx1xcomp(X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ca_Cx1xcomp(X0)
<=> ? [X1] :
( ca_Ax2(X1)
& rrx3(X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3] :
( ca_Cx1xcomp(X3)
<=> ? [X4] :
( ca_Ax2(X4)
& rrx3(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f293,plain,
~ ca_Cx1xcomp(i2003_11_14_17_21_01226),
inference(unit_resulting_resolution,[],[f289,f186]) ).
fof(f186,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ ca_Cx1xcomp(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( ca_Cx1xcomp(X0)
| ra_Px1(X0,sK0(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ ca_Cx1xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f161,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ( ca_Cx1xcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ ca_Cx1xcomp(X0) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( ca_Cx1xcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ ca_Cx1xcomp(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ca_Cx1xcomp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ca_Cx1xcomp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X3] :
( ca_Cx1xcomp(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f289,plain,
ra_Px1(i2003_11_14_17_21_01226,sK1(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f279,f188]) ).
fof(f188,plain,
! [X0] :
( ~ ca_Cx1(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( ca_Cx1(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK1(X0))
| ~ ca_Cx1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f165,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ( ca_Cx1(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ ca_Cx1(X0) ) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( ca_Cx1(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ ca_Cx1(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ca_Cx1(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X3] :
( ca_Cx1(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f279,plain,
ca_Cx1(i2003_11_14_17_21_01226),
inference(unit_resulting_resolution,[],[f178,f197]) ).
fof(f197,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Cx1(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f281,plain,
cc1(sK4(i2003_11_14_17_21_01226)),
inference(unit_resulting_resolution,[],[f178,f194]) ).
fof(f194,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc1(sK4(X0)) ),
inference(cnf_transformation,[],[f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS107+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.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 19:51:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (2722)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2726)WARNING: value z3 for option sas not known
% 0.14/0.38 % (2725)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 % (2727)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (2724)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2726)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 % (2728)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 % (2729)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 % (2730)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (2730)First to succeed.
% 0.14/0.38 % (2727)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (2730)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2722"
% 0.14/0.38 % (2726)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (2729)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (2730)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (2730)------------------------------
% 0.14/0.38 % (2730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (2730)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (2730)Memory used [KB]: 924
% 0.14/0.38 % (2730)Time elapsed: 0.007 s
% 0.14/0.38 % (2730)Instructions burned: 8 (million)
% 0.14/0.38 % (2722)Success in time 0.023 s
%------------------------------------------------------------------------------