TSTP Solution File: NUN088+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.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 : Fri Sep 1 20:50:32 EDT 2023
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 87 ( 38 ~; 26 |; 20 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 45 (; 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(subsumption_resolution,[],[f224,f175]) ).
fof(f175,plain,
r1(sK0),
inference(resolution,[],[f154,f139]) ).
fof(f139,plain,
id(sK0,sK2),
inference(resolution,[],[f92,f72]) ).
fof(f72,plain,
id(sK2,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( r2(sK1,sK0)
& r1(sK1)
& r1(sK2)
& id(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f39,f42,f41,f40]) ).
fof(f40,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& ? [X2] :
( r1(X2)
& id(X2,X0) ) )
=> ( ? [X1] :
( r2(X1,sK0)
& r1(X1) )
& ? [X2] :
( r1(X2)
& id(X2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X1] :
( r2(X1,sK0)
& r1(X1) )
=> ( r2(sK1,sK0)
& r1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X2] :
( r1(X2)
& id(X2,sK0) )
=> ( r1(sK2)
& id(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& ? [X2] :
( r1(X2)
& id(X2,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ~ r1(X1) )
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ~ r1(X46) )
| ! [X45] :
( ~ r1(X45)
| ~ id(X45,X62) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ~ r1(X46) )
| ! [X45] :
( ~ r1(X45)
| ~ id(X45,X62) ) ),
file('/export/starexec/sandbox/tmp/tmp.uJGbP5jPzz/Vampire---4.8_32076',zerounidone) ).
fof(f92,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/tmp/tmp.uJGbP5jPzz/Vampire---4.8_32076',axiom_6) ).
fof(f154,plain,
! [X1] :
( ~ id(X1,sK2)
| r1(X1) ),
inference(resolution,[],[f94,f73]) ).
fof(f73,plain,
r1(sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f94,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/tmp/tmp.uJGbP5jPzz/Vampire---4.8_32076',axiom_8) ).
fof(f224,plain,
~ r1(sK0),
inference(resolution,[],[f203,f76]) ).
fof(f76,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/tmp/tmp.uJGbP5jPzz/Vampire---4.8_32076',axiom_5) ).
fof(f203,plain,
! [X8] :
( ~ id(X8,sK0)
| ~ r1(X8) ),
inference(resolution,[],[f97,f75]) ).
fof(f75,plain,
r2(sK1,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f97,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/tmp/tmp.uJGbP5jPzz/Vampire---4.8_32076',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 30 16:15:52 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.39 % (32184)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39 % (32185)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.13/0.39 % (32186)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.13/0.39 % (32188)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.13/0.39 % (32189)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.13/0.39 % (32190)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.13/0.39 % (32187)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 Vampire---4 for (476ds/0Mi)
% 0.13/0.39 % (32191)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 TRYING [1]
% 0.13/0.40 % (32190)First to succeed.
% 0.13/0.40 TRYING [2]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 % (32189)Also succeeded, but the first one will report.
% 0.13/0.40 % (32190)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for Vampire---4
% 0.13/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.40 % (32190)------------------------------
% 0.13/0.40 % (32190)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.13/0.40 % (32190)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.13/0.40 % (32190)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (32190)Memory used [KB]: 5500
% 0.13/0.40 % (32190)Time elapsed: 0.005 s
% 0.13/0.40 % (32190)------------------------------
% 0.13/0.40 % (32190)------------------------------
% 0.13/0.40 % (32184)Success in time 0.062 s
% 0.13/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------