TSTP Solution File: KRS089+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS089+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 : n022.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 07:19:30 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 140 ( 53 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 155 ( 57 ~; 35 |; 53 &)
% ( 2 <=>; 8 =>; 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; 2 con; 0-1 aty)
% Number of variables : 71 ( 49 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(unit_resulting_resolution,[],[f113,f115,f111,f107,f107,f107,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ rinvP(ispy,X2)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( rinvP(ispy,X2)
& rinvP(ispy,X1)
& rinvP(ispy,X0) )
=> ( X1 = X2
| X0 = X2
| X0 = X1 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X8,X9,X10] :
( ( rinvP(ispy,X10)
& rinvP(ispy,X9)
& rinvP(ispy,X8) )
=> ( X9 = X10
| X8 = X10
| X8 = X9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f107,plain,
! [X0] : rinvP(ispy,X0),
inference(unit_resulting_resolution,[],[f103,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| rinvP(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( rp(X0,X1)
| ~ rinvP(X1,X0) )
& ( rinvP(X1,X0)
| ~ rp(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( rp(X0,X1)
<=> rinvP(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X7] :
( rp(X3,X7)
<=> rinvP(X7,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f103,plain,
! [X0] : rp(X0,ispy),
inference(forward_demodulation,[],[f102,f101]) ).
fof(f101,plain,
! [X0] : ispy = sK4(X0),
inference(subsumption_resolution,[],[f73,f63]) ).
fof(f63,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f73,plain,
! [X0] :
( ispy = sK4(X0)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( ispy = sK4(X0)
& rp(X0,sK4(X0)) )
| ~ cowlThing(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f27,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( ispy = X1
& rp(X0,X1) )
=> ( ispy = sK4(X0)
& rp(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ispy = X1
& rp(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( cowlThing(X0)
=> ? [X1] :
( ispy = X1
& rp(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( cowlThing(X3)
=> ? [X7] :
( ispy = X7
& rp(X3,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f102,plain,
! [X0] : rp(X0,sK4(X0)),
inference(subsumption_resolution,[],[f72,f63]) ).
fof(f72,plain,
! [X0] :
( rp(X0,sK4(X0))
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f111,plain,
sK1(i2003_11_14_17_19_53168) != sK2(i2003_11_14_17_19_53168),
inference(unit_resulting_resolution,[],[f104,f68]) ).
fof(f68,plain,
! [X0] :
( ~ sP0(X0)
| sK1(X0) != sK2(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sK2(X0) != sK3(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK2(X0)
& rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f54,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK2(X0) != sK3(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK2(X0)
& rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f104,plain,
sP0(i2003_11_14_17_19_53168),
inference(unit_resulting_resolution,[],[f61,f71]) ).
fof(f71,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(definition_folding,[],[f26,f52]) ).
fof(f26,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] :
( cUnsatisfiable(X3)
=> ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rr(X3,X6)
& rr(X3,X5)
& rr(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f61,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f115,plain,
sK2(i2003_11_14_17_19_53168) != sK3(i2003_11_14_17_19_53168),
inference(unit_resulting_resolution,[],[f104,f70]) ).
fof(f70,plain,
! [X0] :
( ~ sP0(X0)
| sK2(X0) != sK3(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f113,plain,
sK1(i2003_11_14_17_19_53168) != sK3(i2003_11_14_17_19_53168),
inference(unit_resulting_resolution,[],[f104,f69]) ).
fof(f69,plain,
! [X0] :
( ~ sP0(X0)
| sK1(X0) != sK3(X0) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS089+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:54:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27616)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27619)WARNING: value z3 for option sas not known
% 0.14/0.38 % (27618)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 % (27617)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (27620)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (27619)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 % (27622)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 % (27621)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 % (27623)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 TRYING [1]
% 0.14/0.38 % (27623)First to succeed.
% 0.14/0.38 % (27620)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (27623)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27616"
% 0.14/0.38 % (27623)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 % (27623)------------------------------
% 0.14/0.38 % (27623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (27623)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (27623)Memory used [KB]: 837
% 0.14/0.38 % (27623)Time elapsed: 0.005 s
% 0.14/0.38 % (27623)Instructions burned: 6 (million)
% 0.14/0.38 % (27616)Success in time 0.021 s
%------------------------------------------------------------------------------