TSTP Solution File: SWW374+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW374+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n001.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 : Fri Sep 1 01:01:07 EDT 2023
% Result : Theorem 86.28s 13.85s
% Output : Refutation 86.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 46 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 10 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 47 (; 43 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219071,plain,
$false,
inference(equality_resolution,[],[f219070]) ).
fof(f219070,plain,
! [X0] : hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0),
inference(superposition,[],[f182896,f24432]) ).
fof(f24432,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK329(c_Com_Obody,tc_Com_Ocom,v_pn)),
inference(resolution,[],[f16444,f21693]) ).
fof(f21693,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
| hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK329(X0,X1,X2)) ),
inference(cnf_transformation,[],[f15725]) ).
fof(f15725,plain,
! [X0,X1,X2,X3] :
( hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK329(X0,X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK329])],[f13247,f15724]) ).
fof(f15724,plain,
! [X0,X1,X2] :
( ? [X4] : hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),X4)
=> hAPP(X0,X2) = hAPP(c_Option_Ooption_OSome(X1),sK329(X0,X1,X2)) ),
introduced(choice_axiom,[]) ).
fof(f13247,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,[],[f8951]) ).
fof(f8951,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/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998',fact_domD) ).
fof(f16444,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/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998',conj_3) ).
fof(f182896,plain,
! [X18] : hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK329(c_Com_Obody,tc_Com_Ocom,v_pn)) != hAPP(c_Com_Obody,X18),
inference(resolution,[],[f182341,f24198]) ).
fof(f24198,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) != hAPP(c_Com_Obody,X0) ),
inference(resolution,[],[f16441,f17841]) ).
fof(f17841,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(cnf_transformation,[],[f10538]) ).
fof(f10538,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,[],[f10537]) ).
fof(f10537,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,[],[f6168]) ).
fof(f6168,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/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998',fact_WT__bodiesD) ).
fof(f16441,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5246]) ).
fof(f5246,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998',conj_1) ).
fof(f182341,plain,
~ hBOOL(hAPP(c_Com_OWT,sK329(c_Com_Obody,tc_Com_Ocom,v_pn))),
inference(backward_demodulation,[],[f16440,f28362]) ).
fof(f28362,plain,
hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)) = sK329(c_Com_Obody,tc_Com_Ocom,v_pn),
inference(superposition,[],[f17385,f24432]) ).
fof(f17385,plain,
! [X0,X1] : hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X0)) = X0,
inference(cnf_transformation,[],[f5770]) ).
fof(f5770,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/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998',fact_the_Osimps) ).
fof(f16440,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/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998',conj_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.84/0.89 % Problem : SWW374+1 : TPTP v8.1.2. Released v5.2.0.
% 0.89/0.90 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.89/1.11 % Computer : n001.cluster.edu
% 0.89/1.11 % Model : x86_64 x86_64
% 0.89/1.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.89/1.11 % Memory : 8042.1875MB
% 0.89/1.11 % OS : Linux 3.10.0-693.el7.x86_64
% 0.89/1.11 % CPULimit : 300
% 0.89/1.11 % WCLimit : 300
% 0.89/1.11 % DateTime : Sun Aug 27 21:31:04 EDT 2023
% 0.89/1.11 % CPUTime :
% 0.89/1.12 This is a FOF_THM_RFO_SEQ problem
% 0.89/1.12 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.U5v5DtyhOR/Vampire---4.8_19998
% 0.89/1.12 % (20289)Running in auto input_syntax mode. Trying TPTP
% 0.96/1.38 % (20295)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.96/1.41 % (20296)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.96/1.41 % (20292)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.96/1.41 % (20293)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.96/1.41 % (20294)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.96/1.41 % (20291)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.96/1.41 % (20290)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 86.28/13.81 % (20294)First to succeed.
% 86.28/13.85 % (20294)Refutation found. Thanks to Tanya!
% 86.28/13.85 % SZS status Theorem for Vampire---4
% 86.28/13.85 % SZS output start Proof for Vampire---4
% See solution above
% 86.28/13.85 % (20294)------------------------------
% 86.28/13.85 % (20294)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 86.28/13.85 % (20294)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 86.28/13.85 % (20294)Termination reason: Refutation
% 86.28/13.85
% 86.28/13.85 % (20294)Memory used [KB]: 226179
% 86.28/13.85 % (20294)Time elapsed: 12.401 s
% 86.28/13.85 % (20294)------------------------------
% 86.28/13.85 % (20294)------------------------------
% 86.28/13.85 % (20289)Success in time 12.677 s
% 86.28/13.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------