TSTP Solution File: SWV751-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV751-1 : 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 : n025.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 11:10:57 EDT 2024
% Result : Unsatisfiable 70.27s 10.42s
% Output : Refutation 70.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 38 ( 28 unt; 0 def)
% Number of atoms : 51 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 27 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f824494,plain,
$false,
inference(trivial_inequality_removal,[],[f824493]) ).
fof(f824493,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OEncryption,
inference(superposition,[],[f824092,f823847]) ).
fof(f823847,plain,
! [X0,X1] : c_Public_Okeymode_OEncryption = c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),
inference(unit_resulting_resolution,[],[f34,f821963,f441]) ).
fof(f441,axiom,
! [X8,X7,X4,X24] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X24,X4,X7),X8))
| hBOOL(hAPP(X4,X8))
| X8 = X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f821963,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OSignature,X3))),
inference(unit_resulting_resolution,[],[f410,f65413,f441]) ).
fof(f65413,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2),X3)),
inference(unit_resulting_resolution,[],[f43697,f456,f70]) ).
fof(f70,axiom,
! [X19,X20] :
( ~ hBOOL(hAPP(X19,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X19,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X19,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f456,axiom,
! [X8,X7,X4] : hBOOL(hAPP(c_Set_Oinsert(X8,X4,X7),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f43697,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(unit_resulting_resolution,[],[f456,f416]) ).
fof(f416,axiom,
! [X8,X7,X4,X24] :
( ~ hBOOL(hAPP(X4,X8))
| hBOOL(hAPP(c_Set_Oinsert(X24,X4,X7),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f410,axiom,
! [X8,X6,X7] : c_List_Olist_OCons(X8,X6,X7) != X6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f34,axiom,
! [X8,X7] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f824092,plain,
! [X2,X1] : c_Public_Okeymode_OEncryption != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X2,X1),
inference(superposition,[],[f131557,f823847]) ).
fof(f131557,plain,
! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X2) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2),
inference(forward_demodulation,[],[f131555,f2328]) ).
fof(f2328,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0,
inference(unit_resulting_resolution,[],[f597,f132]) ).
fof(f132,axiom,
! [X8,X7] :
( ~ class_Lattices_Oboolean__algebra(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X7),X7) = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
fof(f597,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f131555,plain,
! [X2,X3,X0,X1] : c_List_Olist_OCons(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool),tc_bool),X1,X2) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2),
inference(unit_resulting_resolution,[],[f82624,f462]) ).
fof(f462,axiom,
! [X65,X10,X62,X7,X63] :
( c_List_Olist_OCons(X62,X63,X7) != c_List_Olist_OCons(X10,X65,X7)
| X10 = X62 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f82624,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool),tc_bool),
inference(forward_demodulation,[],[f82605,f2328]) ).
fof(f82605,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_NS__Shared__Mirabelle_Ons__shared,tc_bool),tc_bool),
inference(unit_resulting_resolution,[],[f597,f80893,f177]) ).
fof(f177,axiom,
! [X8,X7,X24] :
( ~ class_Lattices_Oboolean__algebra(X7)
| X8 = X24
| c_HOL_Ouminus__class_Ouminus(X8,X7) != c_HOL_Ouminus__class_Ouminus(X24,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
fof(f80893,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_NS__Shared__Mirabelle_Ons__shared,tc_bool),
inference(forward_demodulation,[],[f80875,f457]) ).
fof(f457,axiom,
! [X34] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X34)) = X34,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f80875,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_NS__Shared__Mirabelle_Ons__shared,tc_bool) != c_HOL_Ouminus__class_Ouminus(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),tc_bool),
inference(unit_resulting_resolution,[],[f597,f44713,f177]) ).
fof(f44713,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(forward_demodulation,[],[f44702,f457]) ).
fof(f44702,plain,
! [X0] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_NS__Shared__Mirabelle_Ons__shared)) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(unit_resulting_resolution,[],[f42250,f433]) ).
fof(f433,axiom,
! [X34,X64] :
( hAPP(c_Message_OinvKey,X34) != hAPP(c_Message_OinvKey,X64)
| X34 = X64 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f42250,plain,
! [X0] : hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) != hAPP(c_Message_OinvKey,c_NS__Shared__Mirabelle_Ons__shared),
inference(unit_resulting_resolution,[],[f42219,f433]) ).
fof(f42219,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(superposition,[],[f42,f42099]) ).
fof(f42099,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(unit_resulting_resolution,[],[f2381,f393]) ).
fof(f393,axiom,
! [X10,X7,X4] :
( ~ hBOOL(c_in(X10,X4,X7))
| c_Set_Oinsert(X10,X4,X7) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f2381,plain,
! [X0] : hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(unit_resulting_resolution,[],[f2367,f558]) ).
fof(f558,axiom,
! [X48,X8,X7] :
( ~ hBOOL(hAPP(X48,X8))
| hBOOL(c_in(X8,X48,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f2367,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(unit_resulting_resolution,[],[f576,f559]) ).
fof(f559,axiom,
! [X48,X8,X7] :
( ~ hBOOL(c_in(X8,X48,X7))
| hBOOL(hAPP(X48,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f576,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f42,axiom,
! [X10,X7,X4] : c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)) != c_Set_Oinsert(X10,X4,X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV751-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 20:54:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (23205)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (23208)WARNING: value z3 for option sas not known
% 0.15/0.40 % (23209)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (23206)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (23210)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)
% 0.15/0.40 % (23207)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (23208)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)
% 0.15/0.40 % (23211)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)
% 0.15/0.40 % (23212)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)
% 0.21/0.56 TRYING [1]
% 0.21/0.57 TRYING [2]
% 2.83/0.78 TRYING [3]
% 3.73/0.89 TRYING [1]
% 3.96/0.94 TRYING [2]
% 6.71/1.35 TRYING [4]
% 8.15/1.56 TRYING [3]
% 8.15/1.61 TRYING [1]
% 8.82/1.62 TRYING [2]
% 8.82/1.70 TRYING [3]
% 12.24/2.15 TRYING [4]
% 19.85/3.19 TRYING [4]
% 23.32/3.70 TRYING [5]
% 31.75/4.92 TRYING [5]
% 67.66/10.04 TRYING [5]
% 70.27/10.40 % (23212)First to succeed.
% 70.27/10.40 % (23212)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23205"
% 70.27/10.42 % (23212)Refutation found. Thanks to Tanya!
% 70.27/10.42 % SZS status Unsatisfiable for theBenchmark
% 70.27/10.42 % SZS output start Proof for theBenchmark
% See solution above
% 70.27/10.42 % (23212)------------------------------
% 70.27/10.42 % (23212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 70.27/10.42 % (23212)Termination reason: Refutation
% 70.27/10.42
% 70.27/10.42 % (23212)Memory used [KB]: 142753
% 70.27/10.42 % (23212)Time elapsed: 10.0000 s
% 70.27/10.42 % (23212)Instructions burned: 33877 (million)
% 70.27/10.42 % (23205)Success in time 9.977 s
%------------------------------------------------------------------------------