TSTP Solution File: SWV252-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV252-2 : 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 : n004.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 16:42:58 EDT 2024
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 25 unt; 0 def)
% Number of atoms : 84 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 41 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5284,plain,
$false,
inference(subsumption_resolution,[],[f5221,f2901]) ).
fof(f2901,plain,
~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference(subsumption_resolution,[],[f2900,f177]) ).
fof(f177,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f149,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| c_lessequals(X1,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
fof(f149,plain,
! [X0] : c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)),
inference(superposition,[],[f145,f21]) ).
fof(f21,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,[],[f8,f5]) ).
fof(f5,axiom,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f8,axiom,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f145,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(subsumption_resolution,[],[f126,f19]) ).
fof(f19,axiom,
! [X7] : class_Orderings_Oorder(tc_set(X7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f126,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| ~ class_Orderings_Oorder(tc_set(X2)) ),
inference(resolution,[],[f12,f9]) ).
fof(f9,axiom,
! [X2,X3] :
( c_lessequals(X3,X3,X2)
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f12,axiom,
! [X2,X6,X4,X5] :
( ~ c_lessequals(c_union(X5,X4,X2),X6,tc_set(X2))
| c_lessequals(X5,X6,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
fof(f2900,plain,
( ~ c_lessequals(v_H,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg) ),
inference(resolution,[],[f2899,f17]) ).
fof(f17,axiom,
! [X2,X3,X4,X5] :
( c_lessequals(c_insert(X3,X5,X2),X4,tc_set(X2))
| ~ c_lessequals(X5,X4,tc_set(X2))
| ~ c_in(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
fof(f2899,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f2895,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
fof(f2895,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(forward_demodulation,[],[f2792,f21]) ).
fof(f2792,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_H),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(superposition,[],[f2,f2746]) ).
fof(f2746,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(subsumption_resolution,[],[f2745,f212]) ).
fof(f212,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(subsumption_resolution,[],[f187,f19]) ).
fof(f187,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| ~ class_Orderings_Oorder(tc_set(X2)) ),
inference(resolution,[],[f13,f9]) ).
fof(f13,axiom,
! [X2,X6,X4,X5] :
( ~ c_lessequals(c_union(X5,X4,X2),X6,tc_set(X2))
| c_lessequals(X4,X6,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f2745,plain,
! [X2,X0,X1] :
( c_union(X0,X1,X2) = c_union(X1,X0,X2)
| ~ c_lessequals(X1,c_union(X0,X1,X2),tc_set(X2)) ),
inference(subsumption_resolution,[],[f2735,f145]) ).
fof(f2735,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_union(X0,X1,X2) = c_union(X1,X0,X2)
| ~ c_lessequals(X1,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f2731,f674]) ).
fof(f674,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_union(X0,X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_union(X0,X3,X2) = X1
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f14,f18]) ).
fof(f18,axiom,
! [X2,X4,X5] :
( ~ c_lessequals(X5,X4,tc_set(X2))
| X4 = X5
| ~ c_lessequals(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f14,axiom,
! [X2,X6,X4,X5] :
( c_lessequals(c_union(X5,X4,X2),X6,tc_set(X2))
| ~ c_lessequals(X5,X6,tc_set(X2))
| ~ c_lessequals(X4,X6,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
fof(f2731,plain,
! [X2,X0,X1] : c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(subsumption_resolution,[],[f2723,f212]) ).
fof(f2723,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f150,f678]) ).
fof(f678,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_minus(X1,X0,tc_set(X2)),X3,tc_set(X2))
| ~ c_lessequals(X0,X3,tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(superposition,[],[f14,f11]) ).
fof(f11,axiom,
! [X2,X4,X5] : c_union(X5,c_minus(X4,X5,tc_set(X2)),X2) = c_union(X5,X4,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f150,plain,
! [X2,X0,X1] : c_lessequals(c_minus(X0,X1,tc_set(X2)),c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[],[f145,f10]) ).
fof(f10,axiom,
! [X2,X4,X5] : c_union(c_minus(X4,X5,tc_set(X2)),X5,X2) = c_union(X4,X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
fof(f2,axiom,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f5221,plain,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference(superposition,[],[f43,f5166]) ).
fof(f5166,plain,
c_Message_Osynth(c_Message_Oanalz(v_H)) = c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(resolution,[],[f5156,f1]) ).
fof(f1,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5156,plain,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_insert(X0,X1,X2) = X1 ),
inference(subsumption_resolution,[],[f5144,f19]) ).
fof(f5144,plain,
! [X2,X0,X1] :
( c_insert(X0,X1,X2) = X1
| ~ c_in(X0,X1,X2)
| ~ class_Orderings_Oorder(tc_set(X2)) ),
inference(resolution,[],[f2557,f9]) ).
fof(f2557,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X1,tc_set(X2))
| c_insert(X0,X1,X2) = X1
| ~ c_in(X0,X1,X2) ),
inference(resolution,[],[f632,f296]) ).
fof(f296,plain,
! [X2,X0,X1] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)),
inference(subsumption_resolution,[],[f268,f19]) ).
fof(f268,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2))
| ~ class_Orderings_Oorder(tc_set(X2)) ),
inference(resolution,[],[f16,f9]) ).
fof(f16,axiom,
! [X2,X3,X4,X5] :
( ~ c_lessequals(c_insert(X3,X5,X2),X4,tc_set(X2))
| c_lessequals(X5,X4,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
fof(f632,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_insert(X3,X0,X2),tc_set(X2))
| ~ c_in(X3,X1,X2)
| c_insert(X3,X0,X2) = X1
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f17,f18]) ).
fof(f43,plain,
! [X0,X1] : c_in(X0,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f40,f15]) ).
fof(f15,axiom,
! [X2,X3,X4,X5] :
( ~ c_lessequals(c_insert(X3,X5,X2),X4,tc_set(X2))
| c_in(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_0) ).
fof(f40,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(subsumption_resolution,[],[f37,f19]) ).
fof(f37,plain,
! [X0] :
( c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ class_Orderings_Oorder(tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f6,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV252-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 04:36:18 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (14860)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (14863)WARNING: value z3 for option sas not known
% 0.22/0.38 % (14864)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (14861)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (14866)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)
% 0.22/0.38 % (14865)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)
% 0.22/0.38 % (14867)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)
% 0.22/0.38 % (14863)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)
% 0.22/0.38 % (14862)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [5]
% 0.22/0.47 TRYING [6]
% 0.22/0.49 TRYING [1]
% 0.22/0.49 TRYING [2]
% 0.22/0.50 TRYING [3]
% 0.22/0.50 TRYING [4]
% 0.22/0.50 TRYING [4]
% 0.22/0.50 % (14863)First to succeed.
% 0.22/0.51 % (14863)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (14863)------------------------------
% 0.22/0.51 % (14863)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.51 % (14863)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (14863)Memory used [KB]: 2854
% 0.22/0.51 % (14863)Time elapsed: 0.123 s
% 0.22/0.51 % (14863)Instructions burned: 258 (million)
% 0.22/0.51 % (14863)------------------------------
% 0.22/0.51 % (14863)------------------------------
% 0.22/0.51 % (14860)Success in time 0.139 s
%------------------------------------------------------------------------------