%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:19:56 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
fof(f16,negated_conjecture,
less_than(k,j),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f17,negated_conjecture,
~ less_than(k,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f23,negated_conjecture,
less_than(j,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f53,plain,
! [X0] :
( ~ less_than(X0,j)
| less_than(X0,i) ),
inference(resolution,[],[f7,f23]) ).
fof(f86,plain,
less_than(k,i),
inference(resolution,[],[f53,f16]) ).
fof(f87,plain,
$false,
inference(forward_subsumption_resolution,[],[f86,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n015.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:45:17 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.10/0.27 % (2511277)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (2511287)dis+10_1_sil=32000:sp=arity:random_seed=242083357:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.27 % (2511287) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2511277-2511287"...
% 0.10/0.27 % (2511287)...printing done.
% 0.10/0.27 % (2511287)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27 % (2511287)------------------------------
% 0.10/0.27 % (2511287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (2511287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (2511287)CaDiCaL version: 2.1.3
% 0.10/0.27 % (2511287)Termination reason: Refutation
% 0.10/0.27 % (2511287)Time elapsed: 0.002 s
% 0.10/0.27 % (2511287)Peak memory usage: 11 MB
% 0.10/0.27 % (2511287)Instructions burned: 2 (million)
% 0.10/0.27 % (2511277)Success in time 0.027 s
% 0.10/0.27 % Vampire exiting
%------------------------------------------------------------------------------