TSTP Solution File: NUN081+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN081+2 : TPTP v8.2.0. Released v7.3.0.
% 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 : Tue May 21 02:17:56 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 159 ( 28 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 171 ( 58 ~; 39 |; 64 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 139 ( 87 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(unit_resulting_resolution,[],[f246,f161,f93,f126]) ).
fof(f126,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP26(X4)
| sP27(X3) ),
inference(cnf_transformation,[],[f126_D]) ).
fof(f126_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ sP26(X4) )
<=> ~ sP27(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK17(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( r4(X0,X1,sK15(X0,X1))
& r3(sK15(X0,X1),X0,sK14(X0,X1))
& sK14(X0,X1) = sK16(X0,X1)
& r4(X0,sK17(X0,X1),sK16(X0,X1))
& r2(X1,sK17(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f21,f56,f55,f54,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK14(X0,X1)) )
& ? [X4] :
( sK14(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK14(X0,X1)) )
=> ( r4(X0,X1,sK15(X0,X1))
& r3(sK15(X0,X1),X0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X4] :
( sK14(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK14(X0,X1) = sK16(X0,X1)
& ? [X5] :
( r4(X0,X5,sK16(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK16(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK17(X0,X1),sK16(X0,X1))
& r2(X1,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f161,plain,
! [X0] : ~ sP27(X0),
inference(unit_resulting_resolution,[],[f129,f127]) ).
fof(f127,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| ~ sP27(X3) ),
inference(general_splitting,[],[f125,f126_D]) ).
fof(f125,plain,
! [X3,X0,X1,X4] :
( ~ r2(X4,X3)
| ~ r3(X0,X1,X3)
| ~ sP26(X4) ),
inference(general_splitting,[],[f123,f124_D]) ).
fof(f124,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ sP25(X5)
| sP26(X4) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ sP25(X5) )
<=> ~ sP26(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f123,plain,
! [X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X0,X1,X3)
| ~ sP25(X5) ),
inference(general_splitting,[],[f115,f122_D]) ).
fof(f122,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| ~ r1(X6)
| sP25(X5) ),
inference(cnf_transformation,[],[f122_D]) ).
fof(f122_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) )
<=> ~ sP25(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f115,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ r2(X6,X5)
| ~ r1(X6)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X0,X1,X3) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X6,X5)
| ~ r1(X6)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| X2 != X3
| ~ r3(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| X2 != X3 )
| ~ r3(X0,X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( r2(X6,X5)
& r1(X6) )
& r2(X5,X4) )
& r2(X4,X3) )
& X2 = X3 )
& r3(X0,X1,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( ? [X18] :
( r2(X18,X24)
& r1(X18) )
& r2(X24,X16) )
& r2(X16,X15) )
& X15 = X22 )
& r3(X38,X21,X22) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( ? [X18] :
( r2(X18,X24)
& r1(X18) )
& r2(X24,X16) )
& r2(X16,X15) )
& X15 = X22 )
& r3(X38,X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplusyeqthree) ).
fof(f129,plain,
! [X0] : r3(X0,sK12(X0),X0),
inference(forward_demodulation,[],[f85,f86]) ).
fof(f86,plain,
! [X0] : sK11(X0) = X0,
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sK11(X0) = X0
& r3(X0,sK12(X0),sK11(X0))
& r1(sK12(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f17,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK11(X0) = X0
& ? [X2] :
( r3(X0,X2,sK11(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK11(X0))
& r1(X2) )
=> ( r3(X0,sK12(X0),sK11(X0))
& r1(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f85,plain,
! [X0] : r3(X0,sK12(X0),sK11(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f246,plain,
! [X0,X1] : sP26(sK17(X0,sK17(X1,sK24))),
inference(unit_resulting_resolution,[],[f205,f93,f124]) ).
fof(f205,plain,
! [X0] : sP25(sK17(X0,sK24)),
inference(unit_resulting_resolution,[],[f135,f93,f122]) ).
fof(f135,plain,
r1(sK24),
inference(unit_resulting_resolution,[],[f121,f113]) ).
fof(f113,plain,
! [X1] :
( sP4(X1,sK24)
| r1(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1] :
( ( sK24 = X1
& r1(X1) )
| sP4(X1,sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f35,f73]) ).
fof(f73,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| sP4(X1,X0) )
=> ! [X1] :
( ( sK24 = X1
& r1(X1) )
| sP4(X1,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| sP4(X1,X0) ),
inference(definition_folding,[],[f1,f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( X0 != X1
& ~ r1(X1) )
| ~ sP4(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f121,plain,
! [X1] : ~ sP4(X1,X1),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( X0 != X1
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( X0 != X1
& ~ r1(X0) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ( X0 != X1
& ~ r1(X1) )
| ~ sP4(X1,X0) ),
inference(nnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN081+2 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n022.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 : Sat May 18 15:11:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (1829)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1832)WARNING: value z3 for option sas not known
% 0.13/0.38 % (1833)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (1831)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (1830)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (1832)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)
% 0.13/0.38 % (1835)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)
% 0.13/0.38 % (1834)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)
% 0.13/0.38 % (1837)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (1837)First to succeed.
% 0.13/0.38 % (1835)Also succeeded, but the first one will report.
% 0.13/0.38 % (1837)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1829"
% 0.13/0.38 % (1837)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (1837)------------------------------
% 0.13/0.38 % (1837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (1837)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (1837)Memory used [KB]: 917
% 0.13/0.38 % (1837)Time elapsed: 0.007 s
% 0.13/0.38 % (1837)Instructions burned: 9 (million)
% 0.13/0.38 % (1829)Success in time 0.023 s
%------------------------------------------------------------------------------