TSTP Solution File: SWV742-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV742-1 : 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 : 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 : Sun May 5 11:10:54 EDT 2024
% Result : Unsatisfiable 87.49s 12.90s
% Output : Refutation 87.49s
% 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(f636399,plain,
$false,
inference(trivial_inequality_removal,[],[f636398]) ).
fof(f636398,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
inference(superposition,[],[f635986,f635764]) ).
fof(f635764,plain,
! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
inference(unit_resulting_resolution,[],[f43,f633833,f438]) ).
fof(f438,axiom,
! [X2,X6,X24,X5] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X24,X2,X6),X5))
| hBOOL(hAPP(X2,X5))
| X5 = X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f633833,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OEncryption,X3))),
inference(unit_resulting_resolution,[],[f409,f69414,f438]) ).
fof(f69414,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)),
inference(unit_resulting_resolution,[],[f43497,f455,f31]) ).
fof(f31,axiom,
! [X16,X4] :
( ~ hBOOL(hAPP(X4,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X4,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X4,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f455,axiom,
! [X2,X6,X5] : hBOOL(hAPP(c_Set_Oinsert(X5,X2,X6),X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f43497,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(unit_resulting_resolution,[],[f455,f416]) ).
fof(f416,axiom,
! [X2,X6,X24,X5] :
( ~ hBOOL(hAPP(X2,X5))
| hBOOL(hAPP(c_Set_Oinsert(X24,X2,X6),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f409,axiom,
! [X18,X6,X5] : c_List_Olist_OCons(X5,X18,X6) != X18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f43,axiom,
! [X6,X5] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f635986,plain,
! [X2,X1] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X2,X1),
inference(superposition,[],[f148464,f635764]) ).
fof(f148464,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,[],[f148457,f2326]) ).
fof(f2326,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0,
inference(unit_resulting_resolution,[],[f596,f121]) ).
fof(f121,axiom,
! [X6,X5] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
fof(f596,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f148457,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,[],[f88020,f460]) ).
fof(f460,axiom,
! [X65,X3,X6,X63,X64] :
( c_List_Olist_OCons(X63,X64,X6) != c_List_Olist_OCons(X3,X65,X6)
| X3 = X63 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f88020,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,[],[f88001,f2326]) ).
fof(f88001,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,[],[f596,f86368,f186]) ).
fof(f186,axiom,
! [X6,X24,X5] :
( ~ class_Lattices_Oboolean__algebra(X6)
| X5 = X24
| c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ouminus__class_Ouminus(X24,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
fof(f86368,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,[],[f86345,f456]) ).
fof(f456,axiom,
! [X34] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X34)) = X34,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f86345,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,[],[f596,f44547,f186]) ).
fof(f44547,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,[],[f44535,f456]) ).
fof(f44535,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,[],[f42052,f430]) ).
fof(f430,axiom,
! [X34,X60] :
( hAPP(c_Message_OinvKey,X34) != hAPP(c_Message_OinvKey,X60)
| X34 = X60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f42052,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,[],[f42021,f430]) ).
fof(f42021,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(superposition,[],[f34,f41917]) ).
fof(f41917,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(unit_resulting_resolution,[],[f2378,f392]) ).
fof(f392,axiom,
! [X2,X3,X6] :
( ~ hBOOL(c_in(X3,X2,X6))
| c_Set_Oinsert(X3,X2,X6) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f2378,plain,
! [X0] : hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(unit_resulting_resolution,[],[f2364,f554]) ).
fof(f554,axiom,
! [X54,X6,X5] :
( ~ hBOOL(hAPP(X54,X5))
| hBOOL(c_in(X5,X54,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f2364,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(unit_resulting_resolution,[],[f574,f555]) ).
fof(f555,axiom,
! [X54,X6,X5] :
( ~ hBOOL(c_in(X5,X54,X6))
| hBOOL(hAPP(X54,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f574,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_3) ).
fof(f34,axiom,
! [X2,X3,X6] : c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)) != c_Set_Oinsert(X3,X2,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV742-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n024.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 : Fri May 3 21:07:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (354)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (357)WARNING: value z3 for option sas not known
% 0.22/0.41 % (357)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)
% 0.22/0.41 % (356)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41 % (359)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)
% 0.22/0.41 % (358)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.42 % (361)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)
% 0.22/0.42 % (360)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)
% 0.22/0.42 % (355)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.60 TRYING [1]
% 1.53/0.61 TRYING [2]
% 3.60/0.90 TRYING [3]
% 4.40/1.02 TRYING [1]
% 4.85/1.08 TRYING [2]
% 9.20/1.69 TRYING [1]
% 9.20/1.72 TRYING [2]
% 10.22/1.85 TRYING [3]
% 12.16/2.12 TRYING [4]
% 12.31/2.17 TRYING [3]
% 15.35/2.61 TRYING [4]
% 31.64/4.90 TRYING [4]
% 45.66/6.91 TRYING [5]
% 51.94/7.82 TRYING [5]
% 87.37/12.88 % (361)First to succeed.
% 87.37/12.88 % (361)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-354"
% 87.49/12.90 % (361)Refutation found. Thanks to Tanya!
% 87.49/12.90 % SZS status Unsatisfiable for theBenchmark
% 87.49/12.90 % SZS output start Proof for theBenchmark
% See solution above
% 87.49/12.90 % (361)------------------------------
% 87.49/12.90 % (361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 87.49/12.90 % (361)Termination reason: Refutation
% 87.49/12.90
% 87.49/12.90 % (361)Memory used [KB]: 114749
% 87.49/12.90 % (361)Time elapsed: 12.468 s
% 87.49/12.90 % (361)Instructions burned: 26645 (million)
% 87.49/12.90 % (354)Success in time 12.466 s
%------------------------------------------------------------------------------