TSTP Solution File: SET864-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET864-2 : 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 : n016.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 15:46:07 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 57 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 33 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(subsumption_resolution,[],[f30,f9]) ).
fof(f9,plain,
c_in(sF0,v_S,sF1),
inference(definition_folding,[],[f3,f8,f7]) ).
fof(f7,plain,
c_Union(v_c,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
tc_set(t_a) = sF1,
introduced(function_definition,[]) ).
fof(f3,axiom,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483',cls_conjecture_2) ).
fof(f30,plain,
~ c_in(sF0,v_S,sF1),
inference(trivial_inequality_removal,[],[f29]) ).
fof(f29,plain,
( sF0 != sF0
| ~ c_in(sF0,v_S,sF1) ),
inference(superposition,[],[f13,f26]) ).
fof(f26,plain,
sF0 = v_x(sF0),
inference(subsumption_resolution,[],[f25,f9]) ).
fof(f25,plain,
( sF0 = v_x(sF0)
| ~ c_in(sF0,v_S,sF1) ),
inference(resolution,[],[f24,f14]) ).
fof(f14,plain,
! [X4] :
( c_in(v_x(X4),v_S,sF1)
| ~ c_in(X4,v_S,sF1) ),
inference(definition_folding,[],[f4,f8,f8]) ).
fof(f4,axiom,
! [X4] :
( ~ c_in(X4,v_S,tc_set(t_a))
| c_in(v_x(X4),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483',cls_conjecture_3) ).
fof(f24,plain,
( ~ c_in(v_x(sF0),v_S,sF1)
| sF0 = v_x(sF0) ),
inference(subsumption_resolution,[],[f23,f9]) ).
fof(f23,plain,
( sF0 = v_x(sF0)
| ~ c_in(v_x(sF0),v_S,sF1)
| ~ c_in(sF0,v_S,sF1) ),
inference(resolution,[],[f22,f15]) ).
fof(f15,plain,
! [X4] :
( c_lessequals(X4,v_x(X4),sF1)
| ~ c_in(X4,v_S,sF1) ),
inference(definition_folding,[],[f5,f8,f8]) ).
fof(f5,axiom,
! [X4] :
( ~ c_in(X4,v_S,tc_set(t_a))
| c_lessequals(X4,v_x(X4),tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483',cls_conjecture_4) ).
fof(f22,plain,
! [X0] :
( ~ c_lessequals(sF0,X0,sF1)
| sF0 = X0
| ~ c_in(X0,v_S,sF1) ),
inference(forward_demodulation,[],[f21,f7]) ).
fof(f21,plain,
! [X0] :
( sF0 = X0
| ~ c_in(X0,v_S,sF1)
| ~ c_lessequals(c_Union(v_c,t_a),X0,sF1) ),
inference(forward_demodulation,[],[f20,f7]) ).
fof(f20,plain,
! [X0] :
( ~ c_in(X0,v_S,sF1)
| c_Union(v_c,t_a) = X0
| ~ c_lessequals(c_Union(v_c,t_a),X0,sF1) ),
inference(resolution,[],[f19,f12]) ).
fof(f12,plain,
c_in(v_c,sF2,sF3),
inference(definition_folding,[],[f2,f11,f8,f10]) ).
fof(f10,plain,
c_Zorn_Omaxchain(v_S,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
tc_set(sF1) = sF3,
introduced(function_definition,[]) ).
fof(f2,axiom,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483',cls_conjecture_0) ).
fof(f19,plain,
! [X0,X1] :
( ~ c_in(X0,sF2,sF3)
| ~ c_in(X1,v_S,sF1)
| c_Union(X0,t_a) = X1
| ~ c_lessequals(c_Union(X0,t_a),X1,sF1) ),
inference(superposition,[],[f18,f10]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Zorn_Omaxchain(X1,t_a),sF3)
| ~ c_in(X0,X1,sF1)
| c_Union(X2,t_a) = X0
| ~ c_lessequals(c_Union(X2,t_a),X0,sF1) ),
inference(forward_demodulation,[],[f16,f11]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ c_in(X0,X1,sF1)
| c_Union(X2,t_a) = X0
| ~ c_lessequals(c_Union(X2,t_a),X0,sF1)
| ~ c_in(X2,c_Zorn_Omaxchain(X1,t_a),tc_set(sF1)) ),
inference(superposition,[],[f1,f8]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_Union(X3,X2) = X0
| ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f13,plain,
! [X4] :
( v_x(X4) != X4
| ~ c_in(X4,v_S,sF1) ),
inference(definition_folding,[],[f6,f8]) ).
fof(f6,axiom,
! [X4] :
( v_x(X4) != X4
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483',cls_conjecture_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 15:28:27 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.htp6NTEY5V/Vampire---4.8_6483
% 0.15/0.35 % (6620)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (6627)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)
% 0.21/0.41 % (6625)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)
% 0.21/0.41 % (6623)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)
% 0.21/0.41 % (6622)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)
% 0.21/0.41 % (6626)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)
% 0.21/0.41 % (6624)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)
% 0.21/0.41 % (6625)Refutation not found, incomplete strategy% (6625)------------------------------
% 0.21/0.41 % (6625)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41 % (6625)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41 % (6625)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41
% 0.21/0.41 % (6625)Memory used [KB]: 895
% 0.21/0.41 % (6625)Time elapsed: 0.003 s
% 0.21/0.41 % (6625)------------------------------
% 0.21/0.41 % (6625)------------------------------
% 0.21/0.41 % (6627)First to succeed.
% 0.21/0.42 % (6626)Also succeeded, but the first one will report.
% 0.21/0.42 % (6622)Also succeeded, but the first one will report.
% 0.21/0.42 % (6627)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (6627)------------------------------
% 0.21/0.42 % (6627)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (6627)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (6627)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (6627)Memory used [KB]: 895
% 0.21/0.42 % (6627)Time elapsed: 0.004 s
% 0.21/0.42 % (6627)------------------------------
% 0.21/0.42 % (6627)------------------------------
% 0.21/0.42 % (6620)Success in time 0.062 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------