TSTP Solution File: NUN089+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN089+1 : 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 : n021.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 08:45:09 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 102 ( 41 ~; 29 |; 28 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 54 ( 38 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(subsumption_resolution,[],[f227,f163]) ).
fof(f163,plain,
r1(sK0),
inference(resolution,[],[f155,f141]) ).
fof(f141,plain,
id(sK0,sK1),
inference(resolution,[],[f94,f76]) ).
fof(f76,plain,
id(sK1,sK0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( r1(sK1)
& id(sK1,sK0)
& r2(sK2,sK0)
& r2(sK3,sK2)
& r1(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f39,f43,f42,f41,f40]) ).
fof(f40,plain,
( ? [X0] :
( ? [X1] :
( r1(X1)
& id(X1,X0) )
& ? [X2] :
( r2(X2,X0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) )
=> ( ? [X1] :
( r1(X1)
& id(X1,sK0) )
& ? [X2] :
( r2(X2,sK0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X1] :
( r1(X1)
& id(X1,sK0) )
=> ( r1(sK1)
& id(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X2] :
( r2(X2,sK0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) )
=> ( r2(sK2,sK0)
& ? [X3] :
( r2(X3,sK2)
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X3] :
( r2(X3,sK2)
& r1(X3) )
=> ( r2(sK3,sK2)
& r1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( r1(X1)
& id(X1,X0) )
& ? [X2] :
( r2(X2,X0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( ! [X1] :
( ~ r1(X1)
| ~ id(X1,X0) )
| ! [X2] :
( ~ r2(X2,X0)
| ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X39] :
( ~ r1(X39)
| ~ id(X39,X62) )
| ! [X45] :
( ~ r2(X45,X62)
| ! [X46] :
( ~ r2(X46,X45)
| ~ r1(X46) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X62] :
( ! [X39] :
( ~ r1(X39)
| ~ id(X39,X62) )
| ! [X45] :
( ~ r2(X45,X62)
| ! [X46] :
( ~ r2(X46,X45)
| ~ r1(X46) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerounidtwo) ).
fof(f94,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f155,plain,
! [X0] :
( ~ id(X0,sK1)
| r1(X0) ),
inference(resolution,[],[f96,f77]) ).
fof(f77,plain,
r1(sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
! [X0,X1] :
( ~ r1(X1)
| r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f227,plain,
~ r1(sK0),
inference(resolution,[],[f223,f78]) ).
fof(f78,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f223,plain,
! [X0] :
( ~ id(X0,sK0)
| ~ r1(X0) ),
inference(resolution,[],[f99,f75]) ).
fof(f75,plain,
r2(sK2,sK0),
inference(cnf_transformation,[],[f44]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN089+1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.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 18:51:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (15119)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (15120)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (15121)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (15123)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (15122)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (15124)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (15125)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (15126)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (15125)First to succeed.
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (15125)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15119"
% 0.22/0.39 % (15124)Also succeeded, but the first one will report.
% 0.22/0.39 % (15122)Also succeeded, but the first one will report.
% 0.22/0.39 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.39 % (15125)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (15125)------------------------------
% 0.22/0.39 % (15125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (15125)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (15125)Memory used [KB]: 876
% 0.22/0.39 % (15125)Time elapsed: 0.006 s
% 0.22/0.39 % (15125)Instructions burned: 6 (million)
% 0.22/0.39 % (15119)Success in time 0.022 s
%------------------------------------------------------------------------------