TSTP Solution File: SWV284-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV284-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 May 21 06:15:42 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(resolution,[],[f24,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : c_lessequals(X0,v_x(c_plus(c_plus(X1,X0,tc_nat),X2,tc_nat)),tc_nat),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
| c_lessequals(X3,X4,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f8,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
| c_lessequals(X2,X4,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f24,plain,
! [X0] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(resolution,[],[f20,f7]) ).
fof(f7,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[],[f5,f1]) ).
fof(f20,plain,
! [X0] :
( ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat)
| ~ c_lessequals(v_N,v_x(X0),tc_nat) ),
inference(resolution,[],[f15,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f15,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(resolution,[],[f3,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f3,axiom,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV284-2 : TPTP v8.2.0. Released v3.2.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 07:49:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (14698)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (14700)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (14703)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (14704)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (14702)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (14705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (14701)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.34 % (14704)Also succeeded, but the first one will report.
% 0.11/0.34 % (14701)First to succeed.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.11/0.34 Detected maximum model sizes of [max,max,1,max,1,max,1,1,1]
% 0.11/0.34 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.11/0.34 Detected maximum model sizes of [max,max,1,max,1,max,1,1,1]
% 0.11/0.34 TRYING [1,1,1,1,1,1,1,1,1]
% 0.11/0.34 TRYING [1,1,1,1,1,1,1,1,1]
% 0.11/0.34 % (14703)Also succeeded, but the first one will report.
% 0.11/0.34 % (14701)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14698"
% 0.11/0.34 % (14699)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1,1,1,1,1,2,1,1,1]
% 0.11/0.34 TRYING [1,1,1,1,1,2,1,1,1]
% 0.11/0.34 % (14701)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (14701)------------------------------
% 0.11/0.34 % (14701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (14701)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (14701)Memory used [KB]: 752
% 0.11/0.34 % (14701)Time elapsed: 0.003 s
% 0.11/0.34 % (14701)Instructions burned: 3 (million)
% 0.11/0.34 % (14698)Success in time 0.017 s
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