TSTP Solution File: SWV733-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV733-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Sun May 5 11:10:34 EDT 2024
% Result : Unsatisfiable 18.37s 3.06s
% Output : Refutation 18.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 25 unt; 0 def)
% Number of atoms : 52 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-4 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43256,plain,
$false,
inference(resolution,[],[f43189,f716]) ).
fof(f716,axiom,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f43189,plain,
! [X0] : ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X0),
inference(resolution,[],[f43184,f13271]) ).
fof(f13271,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),X1) ),
inference(resolution,[],[f273,f10152]) ).
fof(f10152,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(X1,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),X0,X2) ),
inference(resolution,[],[f8518,f690]) ).
fof(f690,axiom,
! [X19,X27,X25] :
( hBOOL(hAPP(X19,X27))
| ~ c_in(X27,X19,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f8518,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,hAPP(c_Message_Omsg_OKey,v_K)))
| ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(X1,tc_bool)) ),
inference(resolution,[],[f194,f816]) ).
fof(f816,plain,
~ hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,v_K))),
inference(resolution,[],[f689,f717]) ).
fof(f717,axiom,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f689,axiom,
! [X19,X27,X25] :
( c_in(X27,X19,X25)
| ~ hBOOL(hAPP(X19,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f194,axiom,
! [X59,X27,X60,X25] :
( hBOOL(hAPP(X59,X27))
| ~ hBOOL(hAPP(X60,X27))
| ~ c_lessequals(X60,X59,tc_fun(X25,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
fof(f273,axiom,
! [X41,X22] :
( c_lessequals(c_Message_Oparts(X41),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X41,c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
fof(f43184,plain,
! [X0] : c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(X0,tc_bool)),
inference(forward_demodulation,[],[f43177,f36122]) ).
fof(f36122,plain,
! [X2,X3,X0,X1] : c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Set_Oimage(c_COMBK(X0,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X2,X1),
inference(resolution,[],[f638,f4188]) ).
fof(f4188,plain,
! [X3,X0,X1] : c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X3),
inference(superposition,[],[f4086,f1147]) ).
fof(f1147,plain,
! [X2,X0,X1] : c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Set_Oinsert(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2),
inference(resolution,[],[f1072,f670]) ).
fof(f670,axiom,
! [X27,X25] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X25,tc_bool)),X27)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
fof(f1072,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(resolution,[],[f704,f689]) ).
fof(f704,axiom,
! [X0,X25,X33] :
( ~ c_in(X33,X0,X25)
| c_Set_Oinsert(X33,X0,X25) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f4086,plain,
! [X2,X3,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X3),
inference(superposition,[],[f686,f1142]) ).
fof(f1142,plain,
! [X2,X3,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3),
inference(resolution,[],[f1072,f655]) ).
fof(f655,axiom,
! [X0,X27,X25] : hBOOL(hAPP(c_Set_Oinsert(X27,X0,X25),X27)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f686,axiom,
! [X1,X25,X33] : c_in(X33,c_Set_Oinsert(X33,X1,X25),X25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
fof(f638,axiom,
! [X0,X27,X17,X24,X25] :
( ~ c_in(X27,X0,X25)
| c_Set_Oimage(c_COMBK(X17,X24,X25),X0,X25,X24) = c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool)),X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).
fof(f43177,plain,
! [X0,X1] : c_lessequals(c_Set_Oimage(c_COMBK(v_X,X0,X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(X0,tc_bool)),
inference(superposition,[],[f41,f19741]) ).
fof(f19741,plain,
! [X0,X1] : c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) = c_Set_Ovimage(c_COMBK(v_X,X1,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0,X1),
inference(resolution,[],[f417,f2746]) ).
fof(f2746,plain,
! [X0] : c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
inference(superposition,[],[f686,f2732]) ).
fof(f2732,plain,
! [X0] : c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
inference(resolution,[],[f2716,f1139]) ).
fof(f1139,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X3)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(resolution,[],[f1072,f690]) ).
fof(f2716,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f674,f1174]) ).
fof(f1174,plain,
! [X0] : c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
inference(superposition,[],[f686,f1143]) ).
fof(f1143,plain,
! [X0] : c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
inference(resolution,[],[f1072,f1114]) ).
fof(f1114,plain,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(v_KAB,v_X))),
inference(superposition,[],[f655,f1089]) ).
fof(f1089,plain,
c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f704,f715]) ).
fof(f715,axiom,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f674,axiom,
! [X8,X4,X22] :
( ~ c_in(c_Message_Omsg_OCrypt(X8,X4),c_Message_Oparts(X22),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X22),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f417,axiom,
! [X0,X17,X24,X25] :
( ~ c_in(X17,X0,X24)
| c_Orderings_Otop__class_Otop(tc_fun(X25,tc_bool)) = c_Set_Ovimage(c_COMBK(X17,X24,X25),X0,X25,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_0) ).
fof(f41,axiom,
! [X0,X24,X25,X23] : c_lessequals(c_Set_Oimage(X23,c_Set_Ovimage(X23,X0,X24,X25),X24,X25),X0,tc_fun(X25,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV733-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:07:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (6983)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (6986)WARNING: value z3 for option sas not known
% 0.20/0.41 % (6985)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.41 % (6986)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.41 % (6987)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.41 % (6989)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.41 % (6990)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.41 % (6988)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.41 % (6984)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.44/0.58 TRYING [1]
% 1.64/0.62 TRYING [2]
% 3.48/0.91 TRYING [1]
% 3.91/0.97 TRYING [2]
% 3.91/0.99 TRYING [3]
% 8.61/1.68 TRYING [1]
% 9.09/1.71 TRYING [2]
% 10.79/1.95 TRYING [3]
% 15.47/2.61 TRYING [3]
% 15.47/2.62 TRYING [4]
% 18.37/3.05 % (6989)First to succeed.
% 18.37/3.06 % (6989)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6983"
% 18.37/3.06 % (6989)Refutation found. Thanks to Tanya!
% 18.37/3.06 % SZS status Unsatisfiable for theBenchmark
% 18.37/3.06 % SZS output start Proof for theBenchmark
% See solution above
% 18.37/3.06 % (6989)------------------------------
% 18.37/3.06 % (6989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.37/3.06 % (6989)Termination reason: Refutation
% 18.37/3.06
% 18.37/3.06 % (6989)Memory used [KB]: 28898
% 18.37/3.06 % (6989)Time elapsed: 2.634 s
% 18.37/3.06 % (6989)Instructions burned: 4617 (million)
% 18.37/3.06 % (6983)Success in time 2.692 s
%------------------------------------------------------------------------------