TSTP Solution File: NUN067+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN067+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 : 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 : Tue Apr 30 14:40:20 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 70 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 67 ( 20 ~; 10 |; 32 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 63 ( 38 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(subsumption_resolution,[],[f96,f126]) ).
fof(f126,plain,
! [X2,X0] : ~ r2(X0,X2),
inference(subsumption_resolution,[],[f119,f124]) ).
fof(f124,plain,
! [X0] : r1(X0),
inference(forward_demodulation,[],[f77,f78]) ).
fof(f78,plain,
! [X0] : sK5(X0) = X0,
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( sK5(X0) = X0
& r1(sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f25,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
=> ( sK5(X0) = X0
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
? [X1] :
( X0 = X1
& r1(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
! [X1] :
( X0 != X1
| ~ r1(X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
! [X21] :
( X21 != X38
| ~ r1(X21) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
! [X21] :
( X21 != X38
| ~ r1(X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexist) ).
fof(f77,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f37]) ).
fof(f119,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f94]) ).
fof(f94,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(f96,plain,
! [X0,X1] : r2(X1,sK18(X0,X1)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( r4(X0,X1,sK16(X0,X1))
& r3(sK16(X0,X1),X0,sK15(X0,X1))
& sK15(X0,X1) = sK17(X0,X1)
& r4(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f21,f58,f57,f56,f55]) ).
fof(f55,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,sK15(X0,X1)) )
& ? [X4] :
( sK15(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK15(X0,X1)) )
=> ( r4(X0,X1,sK16(X0,X1))
& r3(sK16(X0,X1),X0,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X4] :
( sK15(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK15(X0,X1) = sK17(X0,X1)
& ? [X5] :
( r4(X0,X5,sK17(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK17(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:21:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (4846)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (4849)WARNING: value z3 for option sas not known
% 0.14/0.37 % (4847)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (4848)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (4850)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (4849)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)
% 0.14/0.37 % (4851)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)
% 0.14/0.37 % (4852)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)
% 0.14/0.37 % (4853)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (4853)First to succeed.
% 0.14/0.37 TRYING [2]
% 0.14/0.38 % (4852)Also succeeded, but the first one will report.
% 0.14/0.38 % (4850)Also succeeded, but the first one will report.
% 0.14/0.38 % (4853)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (4853)------------------------------
% 0.14/0.38 % (4853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4853)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (4853)Memory used [KB]: 840
% 0.14/0.38 % (4853)Time elapsed: 0.004 s
% 0.14/0.38 % (4853)Instructions burned: 4 (million)
% 0.14/0.38 % (4853)------------------------------
% 0.14/0.38 % (4853)------------------------------
% 0.14/0.38 % (4846)Success in time 0.02 s
%------------------------------------------------------------------------------