TSTP Solution File: SEU128+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU128+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n012.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 : Sat Sep 2 00:06:38 EDT 2023
% Result : Theorem 0.22s 0.64s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 151 ( 8 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 165 ( 59 ~; 52 |; 40 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 104 (; 89 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17536,plain,
$false,
inference(subsumption_resolution,[],[f17529,f8760]) ).
fof(f8760,plain,
sP0(sK6,sK10(sK4,set_intersection2(sK5,sK6)),sK5),
inference(unit_resulting_resolution,[],[f3435,f3439,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ in(X1,X0)
| sP0(X0,X1,X2)
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ in(X1,X0)
| ~ in(X1,X2) )
& ( ( in(X1,X0)
& in(X1,X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X3,X0] :
( ( sP0(X1,X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ sP0(X1,X3,X0) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X3,X0] :
( ( sP0(X1,X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ sP0(X1,X3,X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X3,X0] :
( sP0(X1,X3,X0)
<=> ( in(X3,X1)
& in(X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3439,plain,
in(sK10(sK4,set_intersection2(sK5,sK6)),sK6),
inference(unit_resulting_resolution,[],[f615,f105,f139]) ).
fof(f139,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.W6rZqxgwPD/Vampire---4.8_16752',d3_tarski) ).
fof(f105,plain,
subset(sK4,sK6),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ~ subset(sK4,set_intersection2(sK5,sK6))
& subset(sK4,sK6)
& subset(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f44,f67]) ).
fof(f67,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,set_intersection2(X1,X2))
& subset(X0,X2)
& subset(X0,X1) )
=> ( ~ subset(sK4,set_intersection2(sK5,sK6))
& subset(sK4,sK6)
& subset(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_intersection2(X1,X2))
& subset(X0,X2)
& subset(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_intersection2(X1,X2))
& subset(X0,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.W6rZqxgwPD/Vampire---4.8_16752',t19_xboole_1) ).
fof(f615,plain,
in(sK10(sK4,set_intersection2(sK5,sK6)),sK4),
inference(unit_resulting_resolution,[],[f106,f140]) ).
fof(f140,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f106,plain,
~ subset(sK4,set_intersection2(sK5,sK6)),
inference(cnf_transformation,[],[f68]) ).
fof(f3435,plain,
in(sK10(sK4,set_intersection2(sK5,sK6)),sK5),
inference(unit_resulting_resolution,[],[f615,f104,f139]) ).
fof(f104,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f68]) ).
fof(f17529,plain,
~ sP0(sK6,sK10(sK4,set_intersection2(sK5,sK6)),sK5),
inference(unit_resulting_resolution,[],[f1299,f4492,f145]) ).
fof(f145,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ sP0(X1,X4,X0)
| in(X4,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ sP0(X1,sK11(X0,X1,X2),X0)
| ~ in(sK11(X0,X1,X2),X2) )
& ( sP0(X1,sK11(X0,X1,X2),X0)
| in(sK11(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP0(X1,X4,X0) )
& ( sP0(X1,X4,X0)
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f85,f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) )
=> ( ( ~ sP0(X1,sK11(X0,X1,X2),X0)
| ~ in(sK11(X0,X1,X2),X2) )
& ( sP0(X1,sK11(X0,X1,X2),X0)
| in(sK11(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP0(X1,X4,X0) )
& ( sP0(X1,X4,X0)
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ sP0(X1,X3,X0) )
& ( sP0(X1,X3,X0)
| ~ in(X3,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sP1(X0,X1,X2)
<=> ! [X3] :
( in(X3,X2)
<=> sP0(X1,X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4492,plain,
! [X0,X1] : sP1(X0,X1,set_intersection2(X0,X1)),
inference(forward_demodulation,[],[f4483,f127]) ).
fof(f127,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.W6rZqxgwPD/Vampire---4.8_16752',idempotence_k3_xboole_0) ).
fof(f4483,plain,
! [X0,X1] : sP1(X0,X1,set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(unit_resulting_resolution,[],[f127,f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( set_intersection2(X0,X1) != X2
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP1(X0,X1,X2) )
& ( sP1(X0,X1,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP1(X0,X1,X2) ),
inference(definition_folding,[],[f8,f62,f61]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.W6rZqxgwPD/Vampire---4.8_16752',d3_xboole_0) ).
fof(f1299,plain,
~ in(sK10(sK4,set_intersection2(sK5,sK6)),set_intersection2(sK5,sK6)),
inference(unit_resulting_resolution,[],[f106,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU128+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 14:02:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (16976)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (17020)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (17023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (17021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (17022)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (17024)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.42 % (17026)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43 % (17025)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [2]
% 0.22/0.46 TRYING [5]
% 0.22/0.46 TRYING [3]
% 0.22/0.51 TRYING [6]
% 0.22/0.53 TRYING [4]
% 0.22/0.59 TRYING [7]
% 0.22/0.64 % (17026)First to succeed.
% 0.22/0.64 % (17026)Refutation found. Thanks to Tanya!
% 0.22/0.64 % SZS status Theorem for Vampire---4
% 0.22/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.64 % (17026)------------------------------
% 0.22/0.64 % (17026)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.64 % (17026)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.64 % (17026)Termination reason: Refutation
% 0.22/0.64
% 0.22/0.64 % (17026)Memory used [KB]: 6140
% 0.22/0.64 % (17026)Time elapsed: 0.216 s
% 0.22/0.64 % (17026)------------------------------
% 0.22/0.64 % (17026)------------------------------
% 0.22/0.64 % (16976)Success in time 0.275 s
% 0.22/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------