TSTP Solution File: KRS074+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS074+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 07:19:27 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 153 ( 52 ~; 41 |; 50 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 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 : 57 ( 37 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(resolution,[],[f174,f103]) ).
fof(f103,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f174,plain,
~ cUnsatisfiable(i2003_11_14_17_18_59896),
inference(resolution,[],[f172,f113]) ).
fof(f113,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ( cp(sK3(X0))
& rs(X0,sK3(X0)) )
| ~ sP0(X0) )
& ( ( ! [X2] :
( ~ cp(X2)
| ~ rs(X0,X2) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f97,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( cp(X1)
& rs(X0,X1) )
=> ( cp(sK3(X0))
& rs(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( cp(X1)
& rs(X0,X1) )
| ~ sP0(X0) )
& ( ( ! [X2] :
( ~ cp(X2)
| ~ rs(X0,X2) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( cp(X1)
& rs(X0,X1) )
| ~ sP0(X0) )
& ( ( ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( cp(X1)
& rs(X0,X1) )
| ~ sP0(X0) )
& ( ( ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
& sP0(X0) ) ),
inference(definition_folding,[],[f42,f87]) ).
fof(f87,plain,
! [X0] :
( sP0(X0)
<=> ? [X2] :
( ? [X3] :
( cp(X3)
& rinvS(X2,X3) )
& cp(X2)
& rs(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f42,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
& ? [X2] :
( ? [X3] :
( cp(X3)
& rinvS(X2,X3) )
& cp(X2)
& rs(X0,X2) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rs(X0,X1)
=> ~ cp(X1) )
& ? [X2] :
( ? [X3] :
( cp(X3)
& rinvS(X2,X3) )
& cp(X2)
& rs(X0,X2) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ! [X4] :
( rs(X3,X4)
=> ~ cp(X4) )
& ? [X4] :
( ? [X5] :
( cp(X5)
& rinvS(X4,X5) )
& cp(X4)
& rs(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f172,plain,
~ sP0(i2003_11_14_17_18_59896),
inference(resolution,[],[f171,f108]) ).
fof(f108,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ! [X2] :
( ~ cp(X2)
| ~ rinvS(X1,X2) )
| ~ cp(X1)
| ~ rs(X0,X1) ) )
& ( ( cp(sK2(X0))
& rinvS(sK1(X0),sK2(X0))
& cp(sK1(X0))
& rs(X0,sK1(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f91,f93,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( cp(X4)
& rinvS(X3,X4) )
& cp(X3)
& rs(X0,X3) )
=> ( ? [X4] :
( cp(X4)
& rinvS(sK1(X0),X4) )
& cp(sK1(X0))
& rs(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ? [X4] :
( cp(X4)
& rinvS(sK1(X0),X4) )
=> ( cp(sK2(X0))
& rinvS(sK1(X0),sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ! [X2] :
( ~ cp(X2)
| ~ rinvS(X1,X2) )
| ~ cp(X1)
| ~ rs(X0,X1) ) )
& ( ? [X3] :
( ? [X4] :
( cp(X4)
& rinvS(X3,X4) )
& cp(X3)
& rs(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( sP0(X0)
| ! [X2] :
( ! [X3] :
( ~ cp(X3)
| ~ rinvS(X2,X3) )
| ~ cp(X2)
| ~ rs(X0,X2) ) )
& ( ? [X2] :
( ? [X3] :
( cp(X3)
& rinvS(X2,X3) )
& cp(X2)
& rs(X0,X2) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f171,plain,
~ rs(i2003_11_14_17_18_59896,sK1(i2003_11_14_17_18_59896)),
inference(resolution,[],[f169,f103]) ).
fof(f169,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ rs(i2003_11_14_17_18_59896,sK1(X0)) ),
inference(resolution,[],[f166,f113]) ).
fof(f166,plain,
! [X0] :
( ~ sP0(X0)
| ~ rs(i2003_11_14_17_18_59896,sK1(X0)) ),
inference(resolution,[],[f165,f109]) ).
fof(f109,plain,
! [X0] :
( cp(sK1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f165,plain,
! [X0] :
( ~ cp(X0)
| ~ rs(i2003_11_14_17_18_59896,X0) ),
inference(resolution,[],[f114,f103]) ).
fof(f114,plain,
! [X2,X0] :
( ~ cUnsatisfiable(X0)
| ~ rs(X0,X2)
| ~ cp(X2) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % 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 19:53:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (14118)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14122)WARNING: value z3 for option sas not known
% 0.14/0.38 % (14121)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 % (14120)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (14123)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (14122)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 % (14124)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 % (14125)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 % (14126)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 [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (14125)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (14126)Also succeeded, but the first one will report.
% 0.14/0.38 % (14125)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14118"
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (14125)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 % (14125)------------------------------
% 0.14/0.38 % (14125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (14125)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (14125)Memory used [KB]: 827
% 0.14/0.38 % (14125)Time elapsed: 0.005 s
% 0.14/0.38 % (14125)Instructions burned: 4 (million)
% 0.14/0.38 % (14118)Success in time 0.02 s
%------------------------------------------------------------------------------