TSTP Solution File: KRS077+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS077+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 23:21:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 13 unt; 0 def)
% Number of atoms : 218 ( 15 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 255 ( 86 ~; 74 |; 76 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 106 ( 80 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(subsumption_resolution,[],[f170,f136]) ).
fof(f136,plain,
~ rinvS(sK3(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(unit_resulting_resolution,[],[f119,f121,f76]) ).
fof(f76,plain,
! [X0,X4] :
( ~ rinvS(sK3(X0),X4)
| cp(X4)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ( ~ cp(sK2(X1))
& rinvS(X1,sK2(X1)) )
| ~ rr(X0,X1) ) )
& ( ( ! [X4] :
( cp(X4)
| ~ rinvS(sK3(X0),X4) )
& rr(X0,sK3(X0)) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f56,f58,f57]) ).
fof(f57,plain,
! [X1] :
( ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) )
=> ( ~ cp(sK2(X1))
& rinvS(X1,sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) )
& rr(X0,X3) )
=> ( ! [X4] :
( cp(X4)
| ~ rinvS(sK3(X0),X4) )
& rr(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ? [X3] :
( ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) )
& rr(X0,X3) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( sP1(X0)
| ! [X2] :
( ? [X3] :
( ~ cp(X3)
& rinvS(X2,X3) )
| ~ rr(X0,X2) ) )
& ( ? [X2] :
( ! [X3] :
( cp(X3)
| ~ rinvS(X2,X3) )
& rr(X0,X2) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( sP1(X0)
<=> ? [X2] :
( ! [X3] :
( cp(X3)
| ~ rinvS(X2,X3) )
& rr(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f121,plain,
~ cp(i2003_11_14_17_19_09372),
inference(unit_resulting_resolution,[],[f70,f85]) ).
fof(f85,plain,
! [X0] :
( ~ cp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| cp(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( cp(sK6(X0))
& rs(X0,sK6(X0))
& ~ cp(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f66,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X2] :
( cp(X2)
& rs(X0,X2) )
=> ( cp(sK6(X0))
& rs(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| cp(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X2] :
( cp(X2)
& rs(X0,X2) )
& ~ cp(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| cp(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ~ cp(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| cp(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ~ cp(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ~ cp(X0)
& sP1(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f25,f52,f51]) ).
fof(f51,plain,
! [X0] :
( sP0(X0)
<=> ! [X4,X5] :
( X4 = X5
| ~ rr(X0,X5)
| ~ rr(X0,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f25,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ~ cp(X0)
& ? [X2] :
( ! [X3] :
( cp(X3)
| ~ rinvS(X2,X3) )
& rr(X0,X2) )
& ! [X4,X5] :
( X4 = X5
| ~ rr(X0,X5)
| ~ rr(X0,X4) ) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ~ cp(X0)
& ? [X2] :
( ! [X3] :
( cp(X3)
| ~ rinvS(X2,X3) )
& rr(X0,X2) )
& ! [X4,X5] :
( X4 = X5
| ~ rr(X0,X5)
| ~ rr(X0,X4) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ~ cp(X0)
& ? [X2] :
( ! [X3] :
( rinvS(X2,X3)
=> cp(X3) )
& rr(X0,X2) )
& ! [X4,X5] :
( ( rr(X0,X5)
& rr(X0,X4) )
=> X4 = X5 ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X6] :
( cp(X6)
& rs(X3,X6) )
& ~ cp(X3)
& ? [X6] :
( ! [X7] :
( rinvS(X6,X7)
=> cp(X7) )
& rr(X3,X6) )
& ! [X4,X5] :
( ( rr(X3,X5)
& rr(X3,X4) )
=> X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f70,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f119,plain,
sP1(i2003_11_14_17_19_09372),
inference(unit_resulting_resolution,[],[f70,f84]) ).
fof(f84,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f170,plain,
rinvS(sK3(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(superposition,[],[f132,f159]) ).
fof(f159,plain,
sK6(i2003_11_14_17_19_09372) = sK3(i2003_11_14_17_19_09372),
inference(unit_resulting_resolution,[],[f117,f126,f130,f79]) ).
fof(f79,plain,
! [X3,X0,X4] :
( ~ rr(X0,X4)
| X3 = X4
| ~ rr(X0,X3)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( sP0(X0)
| ( sK4(X0) != sK5(X0)
& rr(X0,sK5(X0))
& rr(X0,sK4(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f61,f62]) ).
fof(f62,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK4(X0) != sK5(X0)
& rr(X0,sK5(X0))
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,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,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sP0(X0)
| ? [X4,X5] :
( X4 != X5
& rr(X0,X5)
& rr(X0,X4) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ rr(X0,X5)
| ~ rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f130,plain,
rr(i2003_11_14_17_19_09372,sK6(i2003_11_14_17_19_09372)),
inference(unit_resulting_resolution,[],[f128,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( rs(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X6] :
( rs(X3,X6)
=> rr(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f128,plain,
rs(i2003_11_14_17_19_09372,sK6(i2003_11_14_17_19_09372)),
inference(unit_resulting_resolution,[],[f70,f86]) ).
fof(f86,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f126,plain,
rr(i2003_11_14_17_19_09372,sK3(i2003_11_14_17_19_09372)),
inference(unit_resulting_resolution,[],[f119,f75]) ).
fof(f75,plain,
! [X0] :
( ~ sP1(X0)
| rr(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f117,plain,
sP0(i2003_11_14_17_19_09372),
inference(unit_resulting_resolution,[],[f70,f83]) ).
fof(f83,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f132,plain,
rinvS(sK6(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(unit_resulting_resolution,[],[f128,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( rinvS(X0,X1)
| ~ rs(X1,X0) )
& ( rs(X1,X0)
| ~ rinvS(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X6] :
( rinvS(X3,X6)
<=> rs(X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS077+1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 22:17:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (21794)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (21797)WARNING: value z3 for option sas not known
% 0.13/0.37 % (21795)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (21796)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (21798)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (21797)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)
% 0.13/0.37 % (21800)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)
% 0.13/0.37 % (21801)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)
% 0.13/0.37 % (21799)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (21801)First to succeed.
% 0.13/0.37 % (21800)Also succeeded, but the first one will report.
% 0.13/0.37 % (21801)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21794"
% 0.13/0.37 % (21797)Also succeeded, but the first one will report.
% 0.13/0.37 % (21801)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (21801)------------------------------
% 0.13/0.37 % (21801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (21801)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (21801)Memory used [KB]: 840
% 0.13/0.37 % (21801)Time elapsed: 0.006 s
% 0.13/0.37 % (21801)Instructions burned: 7 (million)
% 0.13/0.37 % (21794)Success in time 0.004 s
%------------------------------------------------------------------------------