TSTP Solution File: SET842-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET842-2 : 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 : n028.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 00:01:22 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 24 (; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(subsumption_resolution,[],[f25,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_conjecture_3) ).
fof(f25,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f23,f7]) ).
fof(f7,axiom,
! [X3,X1,X5] :
( ~ c_in(c_Main_OsubsetI__1(X1,X5,X3),X5,X3)
| c_lessequals(X1,X5,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_Set_OsubsetI_1) ).
fof(f23,plain,
! [X4] :
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X4,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X4,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f22,f6]) ).
fof(f6,axiom,
! [X3,X1,X5] :
( c_in(c_Main_OsubsetI__1(X1,X5,X3),X1,X3)
| c_lessequals(X1,X5,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_Set_OsubsetI_0) ).
fof(f22,plain,
! [X4] :
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X4,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X4,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f18,f4]) ).
fof(f4,axiom,
! [X2,X3,X1] :
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_Set_OUnionE_1) ).
fof(f18,plain,
! [X2,X3] :
( ~ c_in(X2,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X3,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X2,v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f14,f6]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X1,v_m,tc_set(t_a))
| ~ c_in(X1,c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(X1,X5,tc_set(X3))
| c_in(X4,X5,X3)
| ~ c_in(X4,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_Set_OsubsetD_0) ).
fof(f12,plain,
! [X0] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_conjecture_4) ).
fof(f3,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/tmp.S7YzUGMlky/Vampire---4.8_31907',cls_Set_OUnionE_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n028.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 15:56:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.41 % (32019)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (32023)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 % (32020)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.41 % (32021)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.41 TRYING [2]
% 0.20/0.41 % (32022)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.20/0.41 % (32024)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.20/0.41 % (32025)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.20/0.41 % (32026)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.41 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.41 % (32025)First to succeed.
% 0.20/0.41 % (32024)Also succeeded, but the first one will report.
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [3]
% 0.20/0.42 % (32022)Also succeeded, but the first one will report.
% 0.20/0.42 % (32025)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (32025)------------------------------
% 0.20/0.42 % (32025)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (32025)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (32025)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (32025)Memory used [KB]: 5373
% 0.20/0.42 % (32025)Time elapsed: 0.004 s
% 0.20/0.42 % (32025)------------------------------
% 0.20/0.42 % (32025)------------------------------
% 0.20/0.42 % (32019)Success in time 0.061 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------