TSTP Solution File: NUN088+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN088+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 08:45:08 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 52 ( 13 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 60 ( 25 ~; 16 |; 16 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 20 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(unit_resulting_resolution,[],[f128,f82,f123]) ).
fof(f123,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f82,plain,
r2(sK6,sK5),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( r2(sK6,sK5)
& r1(sK6)
& sK5 = sK7
& r1(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f38,f37,f36]) ).
fof(f36,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& ? [X2] :
( X0 = X2
& r1(X2) ) )
=> ( ? [X1] :
( r2(X1,sK5)
& r1(X1) )
& ? [X2] :
( sK5 = X2
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ? [X1] :
( r2(X1,sK5)
& r1(X1) )
=> ( r2(sK6,sK5)
& r1(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X2] :
( sK5 = X2
& r1(X2) )
=> ( sK5 = sK7
& r1(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& ? [X2] :
( X0 = X2
& r1(X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ~ r1(X1) )
| ! [X2] :
( X0 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X22] :
( ~ r2(X22,X38)
| ~ r1(X22) )
| ! [X21] :
( X21 != X38
| ~ r1(X21) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X22] :
( ~ r2(X22,X38)
| ~ r1(X22) )
| ! [X21] :
( X21 != X38
| ~ r1(X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerouneqone) ).
fof(f128,plain,
r1(sK5),
inference(forward_demodulation,[],[f79,f80]) ).
fof(f80,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f39]) ).
fof(f79,plain,
r1(sK7),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUN088+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 18:52:52 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % (19527)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (19531)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (19534)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)
% 0.16/0.33 % (19530)WARNING: value z3 for option sas not known
% 0.16/0.33 % (19529)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (19528)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (19533)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)
% 0.16/0.33 % (19532)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)
% 0.16/0.33 % (19530)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (19534)First to succeed.
% 0.16/0.33 % (19531)Also succeeded, but the first one will report.
% 0.16/0.33 % (19534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19527"
% 0.16/0.33 % (19533)Also succeeded, but the first one will report.
% 0.16/0.33 % (19534)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (19534)------------------------------
% 0.16/0.33 % (19534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (19534)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (19534)Memory used [KB]: 863
% 0.16/0.33 % (19534)Time elapsed: 0.005 s
% 0.16/0.33 % (19534)Instructions burned: 5 (million)
% 0.16/0.33 % (19527)Success in time 0.017 s
%------------------------------------------------------------------------------