TSTP Solution File: SET978+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n015.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 : Wed Aug 31 18:22:55 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 54 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 21 ~; 15 |; 5 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f46,f61]) ).
fof(f61,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f52,f30]) ).
fof(f30,plain,
disjoint(singleton(sK3),singleton(sK1)),
inference(unit_resulting_resolution,[],[f15,f19]) ).
fof(f19,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( X0 != X1
=> disjoint(singleton(X0),singleton(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_zfmisc_1) ).
fof(f15,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
? [X3,X0,X2,X1] :
( X0 != X1
& ( ~ disjoint(cartesian_product2(singleton(X1),X3),cartesian_product2(singleton(X0),X2))
| ~ disjoint(cartesian_product2(X3,singleton(X1)),cartesian_product2(X2,singleton(X0))) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X2,X1,X3,X0] :
( X0 != X1
=> ( disjoint(cartesian_product2(X3,singleton(X1)),cartesian_product2(X2,singleton(X0)))
& disjoint(cartesian_product2(singleton(X1),X3),cartesian_product2(singleton(X0),X2)) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X1,X0,X3,X2] :
( X0 != X1
=> ( disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3))
& disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1))) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X1,X0,X3,X2] :
( X0 != X1
=> ( disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3))
& disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t131_zfmisc_1) ).
fof(f52,plain,
( ~ disjoint(singleton(sK3),singleton(sK1))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f27,f17]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( disjoint(cartesian_product2(X2,X1),cartesian_product2(X3,X0))
| ~ disjoint(X2,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ( ~ disjoint(X1,X0)
& ~ disjoint(X2,X3) )
| disjoint(cartesian_product2(X2,X1),cartesian_product2(X3,X0)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( ( disjoint(X2,X3)
| disjoint(X1,X0) )
=> disjoint(cartesian_product2(X2,X1),cartesian_product2(X3,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3,X2,X0,X1] :
( ( disjoint(X0,X1)
| disjoint(X2,X3) )
=> disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_zfmisc_1) ).
fof(f27,plain,
( ~ disjoint(cartesian_product2(singleton(sK3),sK0),cartesian_product2(singleton(sK1),sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl4_2
<=> disjoint(cartesian_product2(singleton(sK3),sK0),cartesian_product2(singleton(sK1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f46,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f43]) ).
fof(f43,plain,
( $false
| spl4_1 ),
inference(unit_resulting_resolution,[],[f23,f30,f18]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( disjoint(cartesian_product2(X2,X1),cartesian_product2(X3,X0))
| ~ disjoint(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
( ~ disjoint(cartesian_product2(sK0,singleton(sK3)),cartesian_product2(sK2,singleton(sK1)))
| spl4_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl4_1
<=> disjoint(cartesian_product2(sK0,singleton(sK3)),cartesian_product2(sK2,singleton(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f28,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f14,f25,f21]) ).
fof(f14,plain,
( ~ disjoint(cartesian_product2(singleton(sK3),sK0),cartesian_product2(singleton(sK1),sK2))
| ~ disjoint(cartesian_product2(sK0,singleton(sK3)),cartesian_product2(sK2,singleton(sK1))) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.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 : Tue Aug 30 14:44:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (1710)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (1709)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (1710)First to succeed.
% 0.20/0.52 % (1725)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (1704)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (1706)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (1720)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (1717)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (1726)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (1709)Also succeeded, but the first one will report.
% 0.20/0.53 % (1710)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (1710)------------------------------
% 0.20/0.53 % (1710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1710)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (1710)Memory used [KB]: 5884
% 0.20/0.53 % (1710)Time elapsed: 0.102 s
% 0.20/0.53 % (1710)Instructions burned: 3 (million)
% 0.20/0.53 % (1710)------------------------------
% 0.20/0.53 % (1710)------------------------------
% 0.20/0.53 % (1700)Success in time 0.175 s
%------------------------------------------------------------------------------