TSTP Solution File: SWW361+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW361+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 : Mon Jun 24 18:32:11 EDT 2024
% Result : Theorem 0.58s 0.83s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 44 ( 19 ~; 13 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6550,plain,
$false,
inference(subsumption_resolution,[],[f6549,f5711]) ).
fof(f5711,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,X0,X1),v_U))),
inference(resolution,[],[f5450,f5463]) ).
fof(f5463,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X0,X3)),hAPP(c_Set_Oimage(X4,X1,X0),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X2)) ),
inference(cnf_transformation,[],[f5321]) ).
fof(f5321,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X0,X3)),hAPP(c_Set_Oimage(X4,X1,X0),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X2)) ),
inference(ennf_transformation,[],[f5237]) ).
fof(f5237,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(X4),X3),X2))
=> hBOOL(hAPP(hAPP(c_member(X1),hAPP(X0,X3)),hAPP(c_Set_Oimage(X4,X1,X0),X2))) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X4,X8,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),X8))
=> hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X9)),hAPP(c_Set_Oimage(X6,X4,X1),X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5450,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
inference(cnf_transformation,[],[f5226]) ).
fof(f5226,axiom,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6549,plain,
~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(subsumption_resolution,[],[f6532,f5573]) ).
fof(f5573,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(cnf_transformation,[],[f5296]) ).
fof(f5296,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X8,X6] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6532,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
| ~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
inference(resolution,[],[f5743,f5489]) ).
fof(f5489,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
inference(cnf_transformation,[],[f5401]) ).
fof(f5401,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(flattening,[],[f5400]) ).
fof(f5400,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(nnf_transformation,[],[f5251]) ).
fof(f5251,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X11,X8,X9,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X6),X9),X8)),X11))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X8),X11))
& hBOOL(hAPP(hAPP(c_member(X6),X9),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5743,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(resolution,[],[f5448,f5478]) ).
fof(f5478,plain,
! [X0,X1] :
( v_P(X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),X0)) ),
inference(cnf_transformation,[],[f5327]) ).
fof(f5327,plain,
! [X0,X1] :
( v_P(X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),X0)) ),
inference(ennf_transformation,[],[f5248]) ).
fof(f5248,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),X0))
=> v_P(X0,X1) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X12,X18] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X18),X12))
=> v_P(X12,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5448,plain,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5229]) ).
fof(f5229,plain,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(flattening,[],[f5228]) ).
fof(f5228,negated_conjecture,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(negated_conjecture,[],[f5227]) ).
fof(f5227,conjecture,
v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW361+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 05:02:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.77 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.77 % (9166)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.58/0.80 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.80 % (9163)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.58/0.80 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.80 % (9162)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.58/0.80 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.80 % (9161)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.58/0.80 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.80 % (9165)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.58/0.81 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.81 % (9167)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.58/0.81 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.81 % (9164)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.58/0.82 % (9166)First to succeed.
% 0.58/0.82 % (9166)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9159"
% 0.58/0.83 % (9159)Running in auto input_syntax mode. Trying TPTP
% 0.58/0.83 % (9166)Refutation found. Thanks to Tanya!
% 0.58/0.83 % SZS status Theorem for theBenchmark
% 0.58/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.83 % (9166)------------------------------
% 0.58/0.83 % (9166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.58/0.83 % (9166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.58/0.83 % (9166)Termination reason: Refutation
% 0.58/0.83
% 0.58/0.83 % (9166)Memory used [KB]: 6598
% 0.58/0.83 % (9166)Time elapsed: 0.050 s
% 0.58/0.83 % (9166)Instructions burned: 128 (million)
% 0.58/0.83 % (9166)------------------------------
% 0.58/0.83 % (9166)------------------------------
% 0.58/0.83 % (9159)Success in time 0.09 s
%------------------------------------------------------------------------------