TSTP Solution File: KRS079+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS079+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 07:19:28 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 182 ( 14 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 195 ( 69 ~; 61 |; 46 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 103 ( 85 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(subsumption_resolution,[],[f169,f154]) ).
fof(f154,plain,
cp1(sK0(i2003_11_14_17_19_17492)),
inference(superposition,[],[f126,f147]) ).
fof(f147,plain,
sK0(i2003_11_14_17_19_17492) = sK1(i2003_11_14_17_19_17492),
inference(unit_resulting_resolution,[],[f131,f135,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| X1 = X2
| ~ rf1(X0,X1) ),
inference(subsumption_resolution,[],[f76,f73]) ).
fof(f73,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f76,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X5,X6] :
( ( rf1(X3,X6)
& rf1(X3,X5) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f135,plain,
rf1(i2003_11_14_17_19_17492,sK0(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f133,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( rr(X0,X1)
=> rf1(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
( rr(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f133,plain,
rr(i2003_11_14_17_19_17492,sK0(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f72,f84]) ).
fof(f84,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( cowlThing(sK0(X0))
& rr(X0,sK0(X0))
& cp1(sK1(X0))
& rf1(X0,sK1(X0))
& cp2(sK2(X0))
& rf2(X0,sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f67,f70,f69,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X4] :
( cowlThing(X4)
& rr(X0,X4) )
=> ( cowlThing(sK0(X0))
& rr(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
=> ( cp1(sK1(X0))
& rf1(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X6] :
( cp2(X6)
& rf2(X0,X6) )
=> ( cp2(sK2(X0))
& rf2(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( ? [X4] :
( cowlThing(X4)
& rr(X0,X4) )
& ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
& ? [X6] :
( cp2(X6)
& rf2(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cowlThing(X4)
& rr(X3,X4) )
& ? [X4] :
( cp1(X4)
& rf1(X3,X4) )
& ? [X4] :
( cp2(X4)
& rf2(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f72,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
cUnsatisfiable(i2003_11_14_17_19_17492),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f131,plain,
rf1(i2003_11_14_17_19_17492,sK1(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f72,f82]) ).
fof(f82,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f126,plain,
cp1(sK1(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f72,f83]) ).
fof(f83,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f169,plain,
~ cp1(sK0(i2003_11_14_17_19_17492)),
inference(superposition,[],[f124,f163]) ).
fof(f163,plain,
sK0(i2003_11_14_17_19_17492) = sK2(i2003_11_14_17_19_17492),
inference(unit_resulting_resolution,[],[f129,f137,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ rf2(X0,X2)
| X1 = X2
| ~ rf2(X0,X1) ),
inference(subsumption_resolution,[],[f77,f73]) ).
fof(f77,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf2(X0,X2)
& rf2(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X5,X6] :
( ( rf2(X3,X6)
& rf2(X3,X5) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f137,plain,
rf2(i2003_11_14_17_19_17492,sK0(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f133,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( rr(X0,X1)
=> rf2(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4] :
( rr(X3,X4)
=> rf2(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f129,plain,
rf2(i2003_11_14_17_19_17492,sK2(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f72,f80]) ).
fof(f80,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf2(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f124,plain,
~ cp1(sK2(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f122,f75]) ).
fof(f75,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( cp1(X0)
=> ~ cp2(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cp1(X3)
=> ~ cp2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f122,plain,
cp2(sK2(i2003_11_14_17_19_17492)),
inference(unit_resulting_resolution,[],[f72,f81]) ).
fof(f81,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sK2(X0)) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS079+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 19:53:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (15145)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (15152)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 % (15148)WARNING: value z3 for option sas not known
% 0.13/0.37 % (15149)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (15146)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (15147)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 % (15148)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 % (15150)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 % (15151)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 % (15152)First to succeed.
% 0.13/0.37 % (15152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15145"
% 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 % (15152)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 % (15152)------------------------------
% 0.13/0.37 % (15152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (15152)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (15152)Memory used [KB]: 836
% 0.13/0.37 % (15152)Time elapsed: 0.005 s
% 0.13/0.37 % (15152)Instructions burned: 6 (million)
% 0.13/0.37 % (15145)Success in time 0.019 s
%------------------------------------------------------------------------------