TSTP Solution File: KRS095+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS095+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Mon May 20 23:21:57 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 132 ( 31 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 161 ( 56 ~; 45 |; 50 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 70 ( 46 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(unit_resulting_resolution,[],[f86,f90,f92,f88,f58]) ).
fof(f58,plain,
! [X3,X0,X4] :
( ~ rr(X0,X4)
| X3 = X4
| ~ rr(X0,X3)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( sP0(X0)
| ( sK1(X0) != sK2(X0)
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f44,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK1(X0) != sK2(X0)
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,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,[],[f43]) ).
fof(f43,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,[],[f40]) ).
fof(f40,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f88,plain,
rr(i2003_11_14_17_20_14253,sK3(i2003_11_14_17_20_14253)),
inference(unit_resulting_resolution,[],[f52,f62]) ).
fof(f62,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) ) )
& ( ( sP0(X0)
& sK3(X0) != sK4(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f49,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) )
=> ( sK3(X0) != sK4(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) ) )
& ( ( sP0(X0)
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) )
& ( ( sP0(X0)
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0)
| ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) )
& ( ( sP0(X0)
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( sP0(X0)
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) ) ),
inference(definition_folding,[],[f21,f40]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1,X2] :
( ( rr(X0,X2)
& rr(X0,X1) )
=> X1 = X2 )
& ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ! [X4,X5] :
( ( rr(X3,X5)
& rr(X3,X4) )
=> X4 = X5 )
& ? [X4,X5] :
( X4 != X5
& rr(X3,X5)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f52,plain,
cUnsatisfiable(i2003_11_14_17_20_14253),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_20_14253),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f92,plain,
sK3(i2003_11_14_17_20_14253) != sK4(i2003_11_14_17_20_14253),
inference(unit_resulting_resolution,[],[f52,f64]) ).
fof(f64,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(X0) != sK4(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f90,plain,
rr(i2003_11_14_17_20_14253,sK4(i2003_11_14_17_20_14253)),
inference(unit_resulting_resolution,[],[f52,f63]) ).
fof(f63,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f86,plain,
sP0(i2003_11_14_17_20_14253),
inference(unit_resulting_resolution,[],[f52,f65]) ).
fof(f65,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS095+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 21:58:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (21286)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21289)WARNING: value z3 for option sas not known
% 0.15/0.38 % (21288)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (21290)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (21292)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)
% 0.15/0.38 % (21287)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (21293)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)
% 0.15/0.38 % (21291)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)
% 0.15/0.38 % (21289)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (21293)First to succeed.
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (21292)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 % (21293)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21286"
% 0.15/0.39 % (21291)Also succeeded, but the first one will report.
% 0.15/0.39 % (21289)Also succeeded, but the first one will report.
% 0.15/0.39 % (21290)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (21287)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (21293)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (21293)------------------------------
% 0.15/0.39 % (21293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (21293)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (21293)Memory used [KB]: 766
% 0.15/0.39 % (21293)Time elapsed: 0.004 s
% 0.15/0.39 % (21293)Instructions burned: 4 (million)
% 0.15/0.39 % (21286)Success in time 0.02 s
%------------------------------------------------------------------------------