TSTP Solution File: SET618+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n029.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 15:44:46 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 20 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 (; 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(trivial_inequality_removal,[],[f58]) ).
fof(f58,plain,
empty_set != empty_set,
inference(backward_demodulation,[],[f54,f57]) ).
fof(f57,plain,
empty_set = sF4,
inference(backward_demodulation,[],[f56,f32]) ).
fof(f32,plain,
! [X0] : union(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : union(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.q1XZFEDVYz/Vampire---4.8_5374',idempotency_of_union) ).
fof(f56,plain,
sF4 = union(empty_set,empty_set),
inference(backward_demodulation,[],[f53,f55]) ).
fof(f55,plain,
empty_set = sF3,
inference(backward_demodulation,[],[f52,f31]) ).
fof(f31,plain,
! [X0] : difference(X0,X0) = empty_set,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : difference(X0,X0) = empty_set,
file('/export/starexec/sandbox/tmp/tmp.q1XZFEDVYz/Vampire---4.8_5374',self_difference_is_empty_set) ).
fof(f52,plain,
difference(sK0,sK0) = sF3,
introduced(function_definition,[]) ).
fof(f53,plain,
union(sF3,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f54,plain,
empty_set != sF4,
inference(definition_folding,[],[f46,f53,f52,f52]) ).
fof(f46,plain,
empty_set != union(difference(sK0,sK0),difference(sK0,sK0)),
inference(definition_unfolding,[],[f28,f35]) ).
fof(f35,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox/tmp/tmp.q1XZFEDVYz/Vampire---4.8_5374',symmetric_difference_defn) ).
fof(f28,plain,
empty_set != symmetric_difference(sK0,sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
empty_set != symmetric_difference(sK0,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f16]) ).
fof(f16,plain,
( ? [X0] : empty_set != symmetric_difference(X0,X0)
=> empty_set != symmetric_difference(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0] : empty_set != symmetric_difference(X0,X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : empty_set = symmetric_difference(X0,X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : empty_set = symmetric_difference(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.q1XZFEDVYz/Vampire---4.8_5374',prove_th93) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n029.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 : Sat Aug 26 11:25:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.q1XZFEDVYz/Vampire---4.8_5374
% 0.14/0.37 % (5486)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (5492)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.43 % (5489)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.43 % (5491)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.43 % (5490)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.43 % (5487)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_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.43 % (5493)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_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.43 % (5488)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.43 % (5489)First to succeed.
% 0.21/0.43 % (5491)Refutation not found, incomplete strategy% (5491)------------------------------
% 0.21/0.43 % (5491)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (5491)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (5491)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (5491)Memory used [KB]: 895
% 0.21/0.43 % (5491)Time elapsed: 0.004 s
% 0.21/0.43 % (5491)------------------------------
% 0.21/0.43 % (5491)------------------------------
% 0.21/0.43 % (5490)Also succeeded, but the first one will report.
% 0.21/0.43 % (5492)Also succeeded, but the first one will report.
% 0.21/0.43 % (5489)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (5489)------------------------------
% 0.21/0.43 % (5489)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (5489)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (5489)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (5489)Memory used [KB]: 895
% 0.21/0.43 % (5489)Time elapsed: 0.005 s
% 0.21/0.43 % (5489)------------------------------
% 0.21/0.43 % (5489)------------------------------
% 0.21/0.43 % (5486)Success in time 0.062 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------