TSTP Solution File: SET864-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n025.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 00:03:23 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 30 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 11 (; 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
file('/export/starexec/sandbox/tmp/tmp.adBsDLbiNc/Vampire---4.8_14961',cls_conjecture_2) ).
fof(f16,plain,
~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
inference(trivial_inequality_removal,[],[f15]) ).
fof(f15,plain,
( c_Union(v_c,t_a) != c_Union(v_c,t_a)
| ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
inference(superposition,[],[f6,f11]) ).
fof(f11,plain,
c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)),
inference(resolution,[],[f10,f3]) ).
fof(f10,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
inference(resolution,[],[f9,f2]) ).
fof(f2,axiom,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.adBsDLbiNc/Vampire---4.8_14961',cls_conjecture_0) ).
fof(f9,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f8]) ).
fof(f8,plain,
! [X0] :
( c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f7,f4]) ).
fof(f4,axiom,
! [X4] :
( c_in(v_x(X4),v_S,tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.adBsDLbiNc/Vampire---4.8_14961',cls_conjecture_3) ).
fof(f7,plain,
! [X0,X1] :
( ~ c_in(v_x(c_Union(X0,t_a)),X1,tc_set(t_a))
| c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
! [X4] :
( c_lessequals(X4,v_x(X4),tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.adBsDLbiNc/Vampire---4.8_14961',cls_conjecture_4) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| c_Union(X3,X2) = X0
| ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.adBsDLbiNc/Vampire---4.8_14961',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f6,axiom,
! [X4] :
( v_x(X4) != X4
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.adBsDLbiNc/Vampire---4.8_14961',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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 16:01:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.41 % (15091)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (15093)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41 % (15092)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41 % (15095)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41 % (15094)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)
% 0.21/0.41 % (15096)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)
% 0.21/0.41 % (15097)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)
% 0.21/0.41 % (15098)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)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 % (15097)First to succeed.
% 0.21/0.42 % (15096)Also succeeded, but the first one will report.
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 % (15097)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 % (15097)------------------------------
% 0.21/0.42 % (15097)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (15097)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (15097)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (15097)Memory used [KB]: 895
% 0.21/0.42 % (15097)Time elapsed: 0.003 s
% 0.21/0.42 % (15097)------------------------------
% 0.21/0.42 % (15097)------------------------------
% 0.21/0.42 % (15091)Success in time 0.062 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------