TSTP Solution File: SWW360+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW360+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 0.66s 0.86s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 13 |; 10 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 61 ( 59 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6754,plain,
$false,
inference(subsumption_resolution,[],[f6753,f5745]) ).
fof(f5745,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,sK1)),hAPP(c_Set_Oimage(tc_Com_Opname,X0,X1),v_U))),
inference(resolution,[],[f5457,f5472]) ).
fof(f5472,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,[],[f5322]) ).
fof(f5322,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,[],[f5236]) ).
fof(f5236,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,[],[f144]) ).
fof(f144,axiom,
! [X1,X4,X8,X17,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X17),X8))
=> hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X17)),hAPP(c_Set_Oimage(X6,X4,X1),X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5457,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK1),v_U)),
inference(cnf_transformation,[],[f5387]) ).
fof(f5387,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,sK1)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK1),v_U)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f5315,f5386]) ).
fof(f5386,plain,
( ? [X0] :
( ~ 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,X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_U)) )
=> ( ~ 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,sK1)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK1),v_U)) ) ),
introduced(choice_axiom,[]) ).
fof(f5315,plain,
? [X0] :
( ~ 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,X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_U)) ),
inference(ennf_transformation,[],[f5228]) ).
fof(f5228,plain,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_U))
=> 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,X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
inference(rectify,[],[f5227]) ).
fof(f5227,negated_conjecture,
~ ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_U))
=> 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,X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
inference(negated_conjecture,[],[f5226]) ).
fof(f5226,conjecture,
! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_U))
=> 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,X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6753,plain,
~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,sK1)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(subsumption_resolution,[],[f6736,f5586]) ).
fof(f5586,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,[],[f15]) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6736,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,sK1)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
inference(resolution,[],[f5777,f5498]) ).
fof(f5498,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,[],[f5404]) ).
fof(f5404,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,[],[f5403]) ).
fof(f5403,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,[],[f5250]) ).
fof(f5250,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,[],[f154]) ).
fof(f154,axiom,
! [X11,X8,X17,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X6),X17),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),X17),X11)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5777,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,sK1)),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,[],[f5458,f5487]) ).
fof(f5487,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,[],[f5328]) ).
fof(f5328,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,[],[f5247]) ).
fof(f5247,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,[],[f7]) ).
fof(f7,axiom,
! [X9,X12] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X12),X9))
=> v_P(X9,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5458,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,sK1)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWW360+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n022.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 : Wed Jun 19 05:53:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.38 This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.73 % (6046)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)
% 0.55/0.76 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.76 % (6041)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)
% 0.55/0.76 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.76 % (6042)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)
% 0.55/0.76 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.76 % (6040)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.55/0.77 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.77 % (6045)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.55/0.78 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.78 % (6044)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.55/0.78 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.78 % (6043)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.55/0.82 % (6046)Instruction limit reached!
% 0.55/0.82 % (6046)------------------------------
% 0.55/0.82 % (6046)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.55/0.82 % (6046)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.55/0.82 % (6046)Termination reason: Time limit
% 0.55/0.82 % (6046)Termination phase: Saturation
% 0.55/0.82
% 0.55/0.82 % (6046)Memory used [KB]: 9192
% 0.55/0.82 % (6046)Time elapsed: 0.091 s
% 0.55/0.82 % (6046)Instructions burned: 282 (million)
% 0.66/0.86 % (6045)First to succeed.
% 0.66/0.86 % (6045)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6039"
% 0.66/0.86 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.66/0.86 % (6047)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 0.66/0.86 % (6039)Running in auto input_syntax mode. Trying TPTP
% 0.66/0.86 % (6045)Refutation found. Thanks to Tanya!
% 0.66/0.86 % SZS status Theorem for theBenchmark
% 0.66/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.86 % (6045)------------------------------
% 0.66/0.86 % (6045)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.66/0.86 % (6045)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.66/0.86 % (6045)Termination reason: Refutation
% 0.66/0.86
% 0.66/0.86 % (6045)Memory used [KB]: 6696
% 0.66/0.86 % (6045)Time elapsed: 0.087 s
% 0.66/0.86 % (6045)Instructions burned: 136 (million)
% 0.66/0.86 % (6045)------------------------------
% 0.66/0.86 % (6045)------------------------------
% 0.66/0.86 % (6039)Success in time 0.179 s
%------------------------------------------------------------------------------