TSTP Solution File: SEU037+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n008.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 : Thu Aug 31 17:55:03 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 19 unt; 0 def)
% Number of atoms : 197 ( 71 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 244 ( 100 ~; 90 |; 40 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 92 (; 79 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f397,plain,
$false,
inference(subsumption_resolution,[],[f396,f173]) ).
fof(f173,plain,
sF17 != sF18,
inference(definition_folding,[],[f108,f172,f171,f170]) ).
fof(f170,plain,
relation_dom_restriction(sK2,sK0) = sF16,
introduced(function_definition,[]) ).
fof(f171,plain,
apply(sF16,sK1) = sF17,
introduced(function_definition,[]) ).
fof(f172,plain,
apply(sK2,sK1) = sF18,
introduced(function_definition,[]) ).
fof(f108,plain,
apply(relation_dom_restriction(sK2,sK0),sK1) != apply(sK2,sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( apply(relation_dom_restriction(sK2,sK0),sK1) != apply(sK2,sK1)
& in(sK1,set_intersection2(relation_dom(sK2),sK0))
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f47,f76]) ).
fof(f76,plain,
( ? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,set_intersection2(relation_dom(X2),X0))
& function(X2)
& relation(X2) )
=> ( apply(relation_dom_restriction(sK2,sK0),sK1) != apply(sK2,sK1)
& in(sK1,set_intersection2(relation_dom(sK2),sK0))
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,set_intersection2(relation_dom(X2),X0))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,set_intersection2(relation_dom(X2),X0))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ApqsyC2ACS/Vampire---4.8_22315',t71_funct_1) ).
fof(f396,plain,
sF17 = sF18,
inference(backward_demodulation,[],[f172,f395]) ).
fof(f395,plain,
apply(sK2,sK1) = sF17,
inference(forward_demodulation,[],[f393,f171]) ).
fof(f393,plain,
apply(sK2,sK1) = apply(sF16,sK1),
inference(resolution,[],[f385,f176]) ).
fof(f176,plain,
in(sK1,sF20),
inference(definition_folding,[],[f107,f175,f174]) ).
fof(f174,plain,
relation_dom(sK2) = sF19,
introduced(function_definition,[]) ).
fof(f175,plain,
set_intersection2(sF19,sK0) = sF20,
introduced(function_definition,[]) ).
fof(f107,plain,
in(sK1,set_intersection2(relation_dom(sK2),sK0)),
inference(cnf_transformation,[],[f77]) ).
fof(f385,plain,
! [X0] :
( ~ in(X0,sF20)
| apply(sK2,X0) = apply(sF16,X0) ),
inference(forward_demodulation,[],[f384,f311]) ).
fof(f311,plain,
sF20 = relation_dom(sF16),
inference(forward_demodulation,[],[f309,f175]) ).
fof(f309,plain,
set_intersection2(sF19,sK0) = relation_dom(sF16),
inference(superposition,[],[f305,f170]) ).
fof(f305,plain,
! [X6] : relation_dom(relation_dom_restriction(sK2,X6)) = set_intersection2(sF19,X6),
inference(forward_demodulation,[],[f304,f174]) ).
fof(f304,plain,
! [X6] : set_intersection2(relation_dom(sK2),X6) = relation_dom(relation_dom_restriction(sK2,X6)),
inference(subsumption_resolution,[],[f295,f105]) ).
fof(f105,plain,
relation(sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f295,plain,
! [X6] :
( set_intersection2(relation_dom(sK2),X6) = relation_dom(relation_dom_restriction(sK2,X6))
| ~ relation(sK2) ),
inference(resolution,[],[f180,f106]) ).
fof(f106,plain,
function(sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f180,plain,
! [X2,X0] :
( ~ function(X2)
| set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ relation(X2) ),
inference(subsumption_resolution,[],[f179,f133]) ).
fof(f133,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.ApqsyC2ACS/Vampire---4.8_22315',dt_k7_relat_1) ).
fof(f179,plain,
! [X2,X0] :
( set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ function(X2)
| ~ relation(X2)
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(subsumption_resolution,[],[f167,f140]) ).
fof(f140,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ApqsyC2ACS/Vampire---4.8_22315',fc4_funct_1) ).
fof(f167,plain,
! [X2,X0] :
( set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ( apply(X1,sK6(X1,X2)) != apply(X2,sK6(X1,X2))
& in(sK6(X1,X2),relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f86,f87]) ).
fof(f87,plain,
! [X1,X2] :
( ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
=> ( apply(X1,sK6(X1,X2)) != apply(X2,sK6(X1,X2))
& in(sK6(X1,X2),relation_dom(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ApqsyC2ACS/Vampire---4.8_22315',t68_funct_1) ).
fof(f384,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sK2,X0) = apply(sF16,X0) ),
inference(subsumption_resolution,[],[f383,f105]) ).
fof(f383,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sK2,X0) = apply(sF16,X0)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f378,f106]) ).
fof(f378,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sK2,X0) = apply(sF16,X0)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f178,f170]) ).
fof(f178,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ function(X2)
| ~ relation(X2) ),
inference(subsumption_resolution,[],[f177,f133]) ).
fof(f177,plain,
! [X2,X0,X4] :
( apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| ~ relation(X2)
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(subsumption_resolution,[],[f166,f140]) ).
fof(f166,plain,
! [X2,X0,X4] :
( apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X0,X1,X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1))
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 13:18:47 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ApqsyC2ACS/Vampire---4.8_22315
% 0.16/0.37 % (22496)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (22497)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.23/0.43 % (22498)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.23/0.43 % (22502)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.43 % (22503)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.23/0.43 % (22500)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.23/0.43 % (22501)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.23/0.43 % (22499)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.23/0.44 % (22500)Refutation not found, incomplete strategy% (22500)------------------------------
% 0.23/0.44 % (22500)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (22500)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (22500)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (22500)Memory used [KB]: 10106
% 0.23/0.44 % (22500)Time elapsed: 0.009 s
% 0.23/0.44 % (22500)------------------------------
% 0.23/0.44 % (22500)------------------------------
% 0.23/0.45 % (22503)First to succeed.
% 0.23/0.45 % (22502)Also succeeded, but the first one will report.
% 0.23/0.45 % (22503)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (22503)------------------------------
% 0.23/0.45 % (22503)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (22503)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (22503)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (22503)Memory used [KB]: 1151
% 0.23/0.45 % (22503)Time elapsed: 0.014 s
% 0.23/0.45 % (22503)------------------------------
% 0.23/0.45 % (22503)------------------------------
% 0.23/0.45 % (22496)Success in time 0.073 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------