TSTP Solution File: SWV277-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV277-1 : 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 : n002.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 10:48:50 EDT 2024
% Result : Unsatisfiable 50.38s 7.64s
% Output : Refutation 50.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 20 unt; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277659,plain,
$false,
inference(resolution,[],[f277632,f2897]) ).
fof(f2897,axiom,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f277632,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(superposition,[],[f277618,f50099]) ).
fof(f50099,plain,
! [X0] : c_Message_Oparts(X0) = c_union(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_Message_Omsg),
inference(forward_demodulation,[],[f50067,f2639]) ).
fof(f2639,axiom,
! [X3,X1] : c_union(X3,c_emptyset,X1) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
fof(f50067,plain,
! [X0] : c_union(c_Message_Oparts(X0),c_emptyset,tc_Message_Omsg) = c_union(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_Message_Omsg),
inference(superposition,[],[f2631,f25029]) ).
fof(f25029,plain,
! [X0] : c_emptyset = c_minus(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f2592,f2891]) ).
fof(f2891,axiom,
! [X88] : c_lessequals(c_Message_Oanalz(X88),c_Message_Oparts(X88),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
fof(f2592,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_emptyset = c_minus(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__eq__empty__iff_1) ).
fof(f2631,axiom,
! [X1,X12,X13] : c_union(X12,X13,X1) = c_union(X12,c_minus(X13,X12,tc_set(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f277618,plain,
! [X0] : c_in(v_K,c_Message_OkeysFor(c_union(X0,c_Message_Oanalz(v_H),tc_Message_Omsg)),tc_nat),
inference(superposition,[],[f277597,f2742]) ).
fof(f2742,axiom,
! [X88,X93] : c_Message_OkeysFor(c_union(X88,X93,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X88),c_Message_OkeysFor(X93),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__Un_0) ).
fof(f277597,plain,
! [X0] : c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),tc_nat),
inference(resolution,[],[f277586,f2688]) ).
fof(f2688,axiom,
! [X0,X1,X12,X13] :
( ~ c_lessequals(c_insert(X0,X12,X1),X13,tc_set(X1))
| c_in(X0,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_0) ).
fof(f277586,plain,
! [X0] : c_lessequals(c_insert(v_K,X0,tc_nat),c_union(X0,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),tc_set(tc_nat)),
inference(superposition,[],[f50468,f257385]) ).
fof(f257385,plain,
! [X0] : c_union(c_insert(v_K,X0,tc_nat),c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) = c_union(X0,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(forward_demodulation,[],[f257376,f2630]) ).
fof(f2630,axiom,
! [X1,X12,X13] : c_union(c_minus(X13,X12,tc_set(X1)),X12,X1) = c_union(X13,X12,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
fof(f257376,plain,
! [X0] : c_union(c_insert(v_K,X0,tc_nat),c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) = c_union(c_minus(X0,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_set(tc_nat)),c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(superposition,[],[f2630,f139401]) ).
fof(f139401,plain,
! [X0] : c_minus(X0,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_set(tc_nat)) = c_minus(c_insert(v_K,X0,tc_nat),c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_set(tc_nat)),
inference(resolution,[],[f2674,f2898]) ).
fof(f2898,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2674,axiom,
! [X0,X1,X12,X13] :
( ~ c_in(X0,X13,X1)
| c_minus(X12,X13,tc_set(X1)) = c_minus(c_insert(X0,X12,X1),X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
fof(f50468,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[],[f2645,f112]) ).
fof(f112,axiom,
! [X1,X12] : c_lessequals(X12,X12,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2645,axiom,
! [X1,X12,X32,X13] :
( ~ c_lessequals(c_union(X12,X13,X1),X32,tc_set(X1))
| c_lessequals(X12,X32,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV277-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n002.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 20:55:23 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (15417)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.44 % (15420)WARNING: value z3 for option sas not known
% 0.17/0.44 % (15418)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.44 % (15422)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)
% 0.17/0.44 % (15419)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.44 % (15421)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.44 % (15420)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)
% 0.17/0.44 % (15423)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)
% 0.17/0.44 % (15424)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)
% 1.80/0.68 TRYING [1]
% 3.75/0.95 TRYING [2]
% 5.59/1.22 TRYING [1]
% 7.91/1.53 TRYING [2]
% 9.06/1.68 TRYING [1]
% 10.57/1.93 TRYING [2]
% 50.38/7.63 % (15423)First to succeed.
% 50.38/7.63 % (15423)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15417"
% 50.38/7.64 % (15423)Refutation found. Thanks to Tanya!
% 50.38/7.64 % SZS status Unsatisfiable for theBenchmark
% 50.38/7.64 % SZS output start Proof for theBenchmark
% See solution above
% 50.38/7.64 % (15423)------------------------------
% 50.38/7.64 % (15423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 50.38/7.64 % (15423)Termination reason: Refutation
% 50.38/7.64
% 50.38/7.64 % (15423)Memory used [KB]: 106287
% 50.38/7.64 % (15423)Time elapsed: 7.192 s
% 50.38/7.64 % (15423)Instructions burned: 18531 (million)
% 50.38/7.64 % (15417)Success in time 7.233 s
%------------------------------------------------------------------------------