TSTP Solution File: KRS087+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS087+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 : n025.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 07:19:29 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 174 ( 59 ~; 50 |; 51 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 78 ( 60 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(unit_resulting_resolution,[],[f135,f150,f133,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ rr(X1,X2)
| rr(X0,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( rr(X1,X2)
& rr(X0,X1) )
=> rr(X0,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4,X5] :
( ( rr(X4,X5)
& rr(X3,X4) )
=> rr(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f133,plain,
rr(sK3(i2003_11_14_17_19_46763),sK2(sK3(i2003_11_14_17_19_46763))),
inference(unit_resulting_resolution,[],[f129,f83]) ).
fof(f83,plain,
! [X0] :
( ~ sP0(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ cp1(X1)
| ( cp1(sK1(X1))
& rinvR(X1,sK1(X1)) )
| ~ rr(X0,X1) ) )
& ( ( cp1(sK2(X0))
& ! [X4] :
( ~ cp1(X4)
| ~ rinvR(sK2(X0),X4) )
& rr(X0,sK2(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f67,f69,f68]) ).
fof(f68,plain,
! [X1] :
( ? [X2] :
( cp1(X2)
& rinvR(X1,X2) )
=> ( cp1(sK1(X1))
& rinvR(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X3] :
( cp1(X3)
& ! [X4] :
( ~ cp1(X4)
| ~ rinvR(X3,X4) )
& rr(X0,X3) )
=> ( cp1(sK2(X0))
& ! [X4] :
( ~ cp1(X4)
| ~ rinvR(sK2(X0),X4) )
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ cp1(X1)
| ? [X2] :
( cp1(X2)
& rinvR(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ? [X3] :
( cp1(X3)
& ! [X4] :
( ~ cp1(X4)
| ~ rinvR(X3,X4) )
& rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1] :
( ( sP0(X1)
| ! [X2] :
( ~ cp1(X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ rr(X1,X2) ) )
& ( ? [X2] :
( cp1(X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& rr(X1,X2) )
| ~ sP0(X1) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1] :
( sP0(X1)
<=> ? [X2] :
( cp1(X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& rr(X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f129,plain,
sP0(sK3(i2003_11_14_17_19_46763)),
inference(unit_resulting_resolution,[],[f78,f90]) ).
fof(f90,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(sK3(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| ~ rr(X0,X1) )
| ~ cp1(X0) )
& ( ( sP0(sK3(X0))
& rr(X0,sK3(X0))
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f73,f74]) ).
fof(f74,plain,
! [X0] :
( ? [X2] :
( sP0(X2)
& rr(X0,X2) )
=> ( sP0(sK3(X0))
& rr(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| ~ rr(X0,X1) )
| ~ cp1(X0) )
& ( ( ? [X2] :
( sP0(X2)
& rr(X0,X2) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| ~ rr(X0,X1) )
| ~ cp1(X0) )
& ( ( ? [X1] :
( sP0(X1)
& rr(X0,X1) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| ~ rr(X0,X1) )
| ~ cp1(X0) )
& ( ( ? [X1] :
( sP0(X1)
& rr(X0,X1) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( sP0(X1)
& rr(X0,X1) )
& cp1(X0) ) ),
inference(definition_folding,[],[f30,f63]) ).
fof(f30,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cp1(X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& rr(X1,X2) )
& rr(X0,X1) )
& cp1(X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cp1(X2)
& ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) )
& rr(X1,X2) )
& rr(X0,X1) )
& cp1(X0) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( ? [X5] :
( cp1(X5)
& ! [X6] :
( rinvR(X5,X6)
=> ~ cp1(X6) )
& rr(X4,X5) )
& rr(X3,X4) )
& cp1(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f78,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f150,plain,
~ rr(i2003_11_14_17_19_46763,sK2(sK3(i2003_11_14_17_19_46763))),
inference(unit_resulting_resolution,[],[f145,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f145,plain,
~ rinvR(sK2(sK3(i2003_11_14_17_19_46763)),i2003_11_14_17_19_46763),
inference(unit_resulting_resolution,[],[f129,f127,f84]) ).
fof(f84,plain,
! [X0,X4] :
( ~ rinvR(sK2(X0),X4)
| ~ cp1(X4)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f127,plain,
cp1(i2003_11_14_17_19_46763),
inference(unit_resulting_resolution,[],[f78,f88]) ).
fof(f88,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f135,plain,
rr(i2003_11_14_17_19_46763,sK3(i2003_11_14_17_19_46763)),
inference(unit_resulting_resolution,[],[f78,f89]) ).
fof(f89,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS087+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.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 19:50:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3141)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (3144)WARNING: value z3 for option sas not known
% 0.21/0.38 % (3143)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (3145)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (3146)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)
% 0.21/0.38 % (3144)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)
% 0.21/0.38 % (3148)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 % (3142)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (3147)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)
% 0.21/0.38 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 % (3148)First to succeed.
% 0.21/0.38 % (3147)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (3148)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3141"
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (3148)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 % (3148)------------------------------
% 0.21/0.38 % (3148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (3148)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (3148)Memory used [KB]: 838
% 0.21/0.38 % (3148)Time elapsed: 0.005 s
% 0.21/0.38 % (3148)Instructions burned: 5 (million)
% 0.21/0.38 % (3141)Success in time 0.021 s
%------------------------------------------------------------------------------