TSTP Solution File: SWV276-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 16:43:51 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 50 ( 20 unt; 0 def)
% Number of atoms : 95 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 39 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3923,plain,
$false,
inference(subsumption_resolution,[],[f3922,f165]) ).
fof(f165,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(resolution,[],[f81,f18]) ).
fof(f18,axiom,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f81,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat) ),
inference(superposition,[],[f30,f11]) ).
fof(f11,axiom,
! [X1,X4] : c_union(c_Message_Oparts(X4),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_union(X4,X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f30,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(X1),tc_nat) ),
inference(superposition,[],[f15,f7]) ).
fof(f7,axiom,
! [X1,X5] : c_Message_OkeysFor(c_union(X1,X5,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X5),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__Un_0) ).
fof(f15,axiom,
! [X8,X6,X9,X7] :
( c_in(X6,c_union(X7,X9,X8),X8)
| ~ c_in(X6,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f3922,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(subsumption_resolution,[],[f3921,f17]) ).
fof(f17,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3921,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
inference(resolution,[],[f3920,f2900]) ).
fof(f2900,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X0))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(resolution,[],[f2895,f409]) ).
fof(f409,plain,
! [X0,X1] :
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0)))),tc_nat)
| c_in(X1,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X0))),tc_nat)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(superposition,[],[f102,f25]) ).
fof(f25,plain,
! [X0] : c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_union(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(superposition,[],[f10,f8]) ).
fof(f8,axiom,
! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f10,axiom,
! [X1] : c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),tc_nat)
| c_in(X2,c_Message_OkeysFor(X1),tc_nat)
| c_in(X2,c_Message_OkeysFor(X0),tc_nat) ),
inference(superposition,[],[f13,f7]) ).
fof(f13,axiom,
! [X8,X6,X9,X7] :
( ~ c_in(X6,c_union(X7,X9,X8),X8)
| c_in(X6,X9,X8)
| c_in(X6,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f2895,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f2891,f179]) ).
fof(f179,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat),
inference(resolution,[],[f84,f18]) ).
fof(f84,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(superposition,[],[f31,f11]) ).
fof(f31,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(X0),tc_nat) ),
inference(superposition,[],[f14,f7]) ).
fof(f14,axiom,
! [X8,X6,X9,X7] :
( c_in(X6,c_union(X7,X9,X8),X8)
| ~ c_in(X6,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f2891,plain,
! [X0] :
( ~ c_in(v_X,X0,tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(resolution,[],[f2890,f412]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))),tc_nat)
| c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(superposition,[],[f102,f11]) ).
fof(f2890,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(resolution,[],[f252,f16]) ).
fof(f16,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_insert(X0,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X3,tc_Message_Omsg))),tc_nat) ),
inference(resolution,[],[f223,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X1,X4] :
( c_lessequals(c_Message_OkeysFor(X4),c_Message_OkeysFor(X1),tc_set(tc_nat))
| ~ c_lessequals(X4,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
fof(f12,axiom,
! [X8,X6,X9,X7] :
( ~ c_lessequals(X7,X9,tc_set(X8))
| c_in(X6,X9,X8)
| ~ c_in(X6,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f223,plain,
! [X2,X1,X4] :
( c_lessequals(c_Message_Oparts(c_insert(X2,X1,tc_Message_Omsg)),c_Message_Oparts(c_union(X4,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(X2,X4,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f9,f11]) ).
fof(f9,axiom,
! [X2,X1,X4] :
( ~ c_in(X2,X4,tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(X2,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X4),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__insert__subset__Un_0) ).
fof(f3920,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat),
inference(subsumption_resolution,[],[f3919,f173]) ).
fof(f173,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(resolution,[],[f165,f135]) ).
fof(f135,plain,
! [X0,X1] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat) ),
inference(resolution,[],[f74,f4]) ).
fof(f4,axiom,
! [X1] : c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
fof(f3919,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(subsumption_resolution,[],[f3918,f23]) ).
fof(f23,plain,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg),
inference(resolution,[],[f3,f19]) ).
fof(f19,axiom,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,axiom,
! [X2,X1] :
( c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f3918,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(superposition,[],[f1,f3916]) ).
fof(f3916,plain,
c_Message_OinvKey(v_K) = v_sko__uhi(c_Message_Oanalz(v_H),v_K),
inference(superposition,[],[f5,f3915]) ).
fof(f3915,plain,
v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),
inference(subsumption_resolution,[],[f3914,f165]) ).
fof(f3914,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) ),
inference(resolution,[],[f3901,f17]) ).
fof(f3901,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(X0),v_K)) ),
inference(subsumption_resolution,[],[f3900,f135]) ).
fof(f3900,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(X0)),tc_nat)
| v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(X0),v_K)) ),
inference(resolution,[],[f2900,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| c_Message_OinvKey(v_sko__uhi(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__synth_H_1) ).
fof(f5,axiom,
! [X3] : c_Message_OinvKey(c_Message_OinvKey(X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f1,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X0)),X1,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__synth_H_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:28:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19648)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (19654)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)
% 0.14/0.36 % (19651)WARNING: value z3 for option sas not known
% 0.14/0.37 % (19650)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (19649)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (19652)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (19653)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)
% 0.14/0.37 % (19651)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)
% 0.14/0.37 % (19655)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.20/0.45 TRYING [4]
% 0.20/0.52 % (19651)First to succeed.
% 0.20/0.52 % (19651)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (19651)------------------------------
% 0.20/0.52 % (19651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.52 % (19651)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (19651)Memory used [KB]: 3162
% 0.20/0.52 % (19651)Time elapsed: 0.152 s
% 0.20/0.52 % (19651)Instructions burned: 353 (million)
% 0.20/0.52 % (19651)------------------------------
% 0.20/0.52 % (19651)------------------------------
% 0.20/0.52 % (19648)Success in time 0.157 s
%------------------------------------------------------------------------------