%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV255-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:20:36 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 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 : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(X0,v_xb(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_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
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] :
( c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,v_xb(X0),tc_nat) ),
inference(resolution,[],[f4,f3]) ).
fof(f8,plain,
! [X0] :
( ~ c_lessequals(v_xa,v_xb(X0),tc_nat)
| ~ c_lessequals(v_x,v_xb(X0),tc_nat) ),
inference(resolution,[],[f7,f2]) ).
fof(f9,plain,
! [X0,X1] : c_lessequals(X0,v_xb(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[],[f5,f1]) ).
fof(f11,plain,
! [X0,X1] : c_lessequals(X0,v_xb(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[],[f6,f1]) ).
fof(f16,plain,
! [X0] : ~ c_lessequals(v_x,v_xb(c_plus(X0,v_xa,tc_nat)),tc_nat),
inference(resolution,[],[f8,f9]) ).
fof(f21,plain,
$false,
inference(resolution,[],[f16,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV255-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:14:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27 % (3455632)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3455640)dis+10_1_sil=32000:sp=arity:random_seed=1504186884:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3455640) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3455632-3455640"...
% 0.19/0.27 % (3455640)...printing done.
% 0.19/0.27 % (3455640)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3455640)------------------------------
% 0.19/0.27 % (3455640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3455640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3455640)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3455640)Termination reason: Refutation
% 0.19/0.27 % (3455640)Time elapsed: 0.001 s
% 0.19/0.27 % (3455640)Peak memory usage: 11 MB
% 0.19/0.27 % (3455640)Instructions burned: 1 (million)
% 0.19/0.27 % (3455632)Success in time 0.023 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------