%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:19:57 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : less_than(X0,successor(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',less_than_successor) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less_than(X0,X2)
| less_than(X0,X1)
| ~ less_than(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
fof(f9,axiom,
! [X0] : ~ less_than(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).
fof(f17,negated_conjecture,
less_than(i,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f19,negated_conjecture,
less_than(a(i),a(m)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(m))
| ~ less_than(X0,successor(n))
| less_than(X0,i) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f31,plain,
( ~ less_than(i,successor(n))
| less_than(i,i) ),
inference(resolution,[],[f20,f19]) ).
fof(f32,plain,
~ less_than(i,successor(n)),
inference(forward_subsumption_resolution,[],[f31,f9]) ).
fof(f60,plain,
! [X0] :
( ~ less_than(n,X0)
| less_than(i,X0) ),
inference(resolution,[],[f7,f17]) ).
fof(f158,plain,
less_than(i,successor(n)),
inference(resolution,[],[f60,f6]) ).
fof(f163,plain,
$false,
inference(forward_subsumption_resolution,[],[f158,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n004.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 09:41:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26 % (242896)Will run a generic schedule for satisfiability detection.
% 0.10/0.26 % (242909)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3834961550:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.26 % (242909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-242896-242909"...
% 0.10/0.26 % (242905)% WARNING: option uhcvi not known.
% 0.10/0.26 % (242909)...printing done.
% 0.10/0.26 % (242909)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (242909)------------------------------
% 0.10/0.26 % (242909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (242909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (242909)CaDiCaL version: 2.1.3
% 0.10/0.26 % (242909)Termination reason: Refutation
% 0.10/0.26 % (242909)Time elapsed: 0.002 s
% 0.10/0.26 % (242909)Peak memory usage: 11 MB
% 0.10/0.26 % (242909)Instructions burned: 4 (million)
% 0.10/0.26 % (242896)Success in time 0.018 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------