%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV284-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:40 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.20s
% Output : Refutation 0.20s
% 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(f1,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f7,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[],[f5,f1]) ).
fof(f9,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[],[f6,f1]) ).
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,[],[f9,f5]) ).
fof(f13,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,[],[f4,f3]) ).
fof(f16,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,[],[f13,f2]) ).
fof(f24,plain,
! [X0] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(resolution,[],[f16,f7]) ).
fof(f32,plain,
$false,
inference(resolution,[],[f24,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV284-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:23:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/1.20 % (2305091)Input is clausal, will run a generic CNF schedule.
% 0.20/1.20 % (2305100)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2898905229:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.20 % (2305100)Refutation not found, incomplete strategy
% 0.20/1.20 % (2305100)------------------------------
% 0.20/1.20 % (2305100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (2305100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (2305100)CaDiCaL version: 2.1.3
% 0.20/1.20 % (2305100)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.20 % (2305100)Time elapsed: 0.001 s
% 0.20/1.20 % (2305100)Peak memory usage: 87 MB
% 0.20/1.20 % (2305098)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1941349828:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.20 % (2305099)lrs+10_1_sil=8000:sp=occurrence:random_seed=3197894161:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.20 % (2305097)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=32721982:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.20 % (2305096)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3063455336:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.20 % (2305099)First to succeed.
% 0.20/1.20 % (2305099)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2305091"
% 0.20/1.20 % (2305102)dis-21_1_sil=8000:lcm=predicate:random_seed=1728548587:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.20/1.20 % (2305101)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2366250247:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.20 % (2305102)Also succeeded, but the first one will report.
% 0.20/1.20 % (2305101)Also succeeded, but the first one will report.
% 0.20/1.20 % (2305100)------------------------------
% 0.20/1.20 % (2305100)------------------------------
% 0.20/1.20 % (2305110)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3685501651:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.20/1.20 % (2305110)Also succeeded, but the first one will report.
% 0.20/1.20 % (2305099)Refutation found. Thanks to Tanya!
% 0.20/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20 % (2305099)------------------------------
% 0.20/1.20 % (2305099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (2305099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (2305099)CaDiCaL version: 2.1.3
% 0.20/1.20 % (2305099)Termination reason: Refutation
% 0.20/1.20 % (2305099)Time elapsed: 0.002 s
% 0.20/1.20 % (2305099)Peak memory usage: 87 MB
% 0.20/1.20 % (2305099)Instructions burned: 1 (million)
% 0.20/1.20 % (2305099)------------------------------
% 0.20/1.20 % (2305099)------------------------------
% 0.20/1.20 % (2305091)Success in time 0.434 s
% 0.20/1.20 % Vampire exiting
%------------------------------------------------------------------------------