TSTP Solution File: SWW374+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW374+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 18:32:14 EDT 2024
% Result : Theorem 0.52s 0.78s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 21 unt; 0 def)
% Number of atoms : 65 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 23 ~; 16 |; 0 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 60 ( 56 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5822,plain,
$false,
inference(avatar_sat_refutation,[],[f5723,f5725,f5809]) ).
fof(f5809,plain,
~ spl11_4,
inference(avatar_contradiction_clause,[],[f5808]) ).
fof(f5808,plain,
( $false
| ~ spl11_4 ),
inference(equality_resolution,[],[f5722]) ).
fof(f5722,plain,
( ! [X0] : hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f5721]) ).
fof(f5721,plain,
( spl11_4
<=> ! [X0] : hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f5725,plain,
~ spl11_3,
inference(avatar_split_clause,[],[f5724,f5717]) ).
fof(f5717,plain,
( spl11_3
<=> hBOOL(hAPP(c_Com_OWT,sK9(c_Com_Obody,tc_Com_Ocom,v_pn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f5724,plain,
~ hBOOL(hAPP(c_Com_OWT,sK9(c_Com_Obody,tc_Com_Ocom,v_pn))),
inference(backward_demodulation,[],[f5440,f5710]) ).
fof(f5710,plain,
hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)) = sK9(c_Com_Obody,tc_Com_Ocom,v_pn),
inference(superposition,[],[f5496,f5642]) ).
fof(f5642,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK9(c_Com_Obody,tc_Com_Ocom,v_pn)),
inference(resolution,[],[f5550,f5575]) ).
fof(f5575,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_Set_OCollect(X3),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3),c_fNot),hAPP(hAPP(c_COMBC(X3,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X3),c_fequal),X0)),c_Option_Ooption_ONone(X1))))))
| hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK9(X0,X1,X2)) ),
inference(definition_unfolding,[],[f5538,f5545]) ).
fof(f5545,plain,
! [X2,X0,X1] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
inference(cnf_transformation,[],[f5329]) ).
fof(f5329,plain,
! [X0,X1,X2] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
inference(rectify,[],[f3338]) ).
fof(f3338,axiom,
! [X22,X21,X4] : c_Map_Odom(X4,X21,X22) = hAPP(c_Set_OCollect(X4),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4),c_fNot),hAPP(hAPP(c_COMBC(X4,tc_Option_Ooption(X21),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X21),tc_fun(tc_Option_Ooption(X21),tc_HOL_Obool),X4),c_fequal),X22)),c_Option_Ooption_ONone(X21)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5538,plain,
! [X2,X3,X0,X1] :
( hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK9(X0,X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ),
inference(cnf_transformation,[],[f5436]) ).
fof(f5436,plain,
! [X0,X1,X2,X3] :
( hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK9(X0,X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f5393,f5435]) ).
fof(f5435,plain,
! [X0,X1,X2] :
( ? [X4] : hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),X4)
=> hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK9(X0,X1,X2)) ),
introduced(choice_axiom,[]) ).
fof(f5393,plain,
! [X0,X1,X2,X3] :
( ? [X4] : hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ),
inference(ennf_transformation,[],[f5323]) ).
fof(f5323,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
=> ? [X4] : hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),X4) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22,X21,X10,X4] :
( hBOOL(hAPP(hAPP(c_member(X4),X10),c_Map_Odom(X4,X21,X22)))
=> ? [X27] : hAPP(X22,X10) = hAPP(c_Option_Ooption_OSome(X21),X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5550,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),
inference(definition_unfolding,[],[f5444,f5545]) ).
fof(f5444,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
inference(cnf_transformation,[],[f5248]) ).
fof(f5248,axiom,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5496,plain,
! [X0,X1] : hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X0)) = X0,
inference(cnf_transformation,[],[f5293]) ).
fof(f5293,plain,
! [X0,X1] : hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X0)) = X0,
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X23,X4] : hAPP(c_Option_Othe(X4),hAPP(c_Option_Ooption_OSome(X4),X23)) = X23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5440,plain,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
inference(cnf_transformation,[],[f5251]) ).
fof(f5251,plain,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
inference(flattening,[],[f5250]) ).
fof(f5250,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
inference(negated_conjecture,[],[f5249]) ).
fof(f5249,conjecture,
hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5723,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f5715,f5721,f5717]) ).
fof(f5715,plain,
! [X0] :
( hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0)
| hBOOL(hAPP(c_Com_OWT,sK9(c_Com_Obody,tc_Com_Ocom,v_pn))) ),
inference(subsumption_resolution,[],[f5706,f5441]) ).
fof(f5441,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5246]) ).
fof(f5246,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5706,plain,
! [X0] :
( hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0)
| hBOOL(hAPP(c_Com_OWT,sK9(c_Com_Obody,tc_Com_Ocom,v_pn)))
| ~ c_Com_OWT__bodies ),
inference(superposition,[],[f5454,f5642]) ).
fof(f5454,plain,
! [X0,X1] :
( hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
| hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies ),
inference(cnf_transformation,[],[f5349]) ).
fof(f5349,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X0))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
| ~ c_Com_OWT__bodies ),
inference(flattening,[],[f5348]) ).
fof(f5348,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X0))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
| ~ c_Com_OWT__bodies ),
inference(ennf_transformation,[],[f5258]) ).
fof(f5258,plain,
! [X0,X1] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,X1) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
=> hBOOL(hAPP(c_Com_OWT,X0)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X11,X12] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,X12) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X11)
=> hBOOL(hAPP(c_Com_OWT,X11)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW374+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 07:33:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.70 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.49/0.70 % (11874)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.52/0.73 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (11869)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.52/0.73 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (11870)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)
% 0.52/0.73 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (11875)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)
% 0.52/0.73 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (11873)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.52/0.73 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (11872)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.52/0.73 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (11871)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)
% 0.52/0.78 % (11873)First to succeed.
% 0.52/0.78 % (11873)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11742"
% 0.52/0.78 % (11742)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.78 % (11873)Refutation found. Thanks to Tanya!
% 0.52/0.78 % SZS status Theorem for theBenchmark
% 0.52/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.78 % (11873)------------------------------
% 0.52/0.78 % (11873)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.78 % (11873)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.78 % (11873)Termination reason: Refutation
% 0.52/0.78
% 0.52/0.78 % (11873)Memory used [KB]: 6506
% 0.52/0.78 % (11873)Time elapsed: 0.050 s
% 0.52/0.78 % (11873)Instructions burned: 77 (million)
% 0.52/0.78 % (11873)------------------------------
% 0.52/0.78 % (11873)------------------------------
% 0.52/0.78 % (11742)Success in time 0.125 s
%------------------------------------------------------------------------------