%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV002-1 : 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 : 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 01:19:56 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.33s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 12 unt; 1 def)
% Number of atoms : 44 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 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(f8,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',all_related) ).
fof(f9,axiom,
! [X0] : ~ less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).
fof(f19,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,j)
| less_than(X0,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f23,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f24,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f25,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f66,plain,
! [X0] :
( ~ less_than(X0,a(j))
| less_than(X0,a(k)) ),
inference(resolution,[],[f7,f19]) ).
fof(f130,plain,
less_than(a(q),a(k)),
inference(resolution,[],[f66,f25]) ).
fof(f203,definition,
( spl0_12
<=> less_than(q,j) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f204,plain,
( less_than(q,j)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( ~ less_than(q,j)
| spl0_12 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f212,plain,
( less_than(j,q)
| j = q
| spl0_12 ),
inference(resolution,[],[f205,f8]) ).
fof(f213,plain,
( j = q
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f212,f24]) ).
fof(f264,plain,
( less_than(a(j),a(j))
| spl0_12 ),
inference(superposition,[],[f25,f213]) ).
fof(f273,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f264,f9]) ).
fof(f274,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f283,plain,
( ~ less_than(q,j)
| less_than(q,i) ),
inference(resolution,[],[f130,f20]) ).
fof(f286,plain,
( less_than(q,i)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f283,f204]) ).
fof(f287,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f286,f23]) ).
fof(f288,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f287]) ).
cnf(s20,plain,
spl0_12,
inference(sat_conversion,[],[f274]) ).
cnf(s22,plain,
~ spl0_12,
inference(sat_conversion,[],[f288]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s20,s22]) ).
fof(f289,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 % Computer : n007.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 09:39:56 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.28 Running first-order model finding
% 0.11/0.28 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
% 0.27/0.33 % (2277472)Will run a generic schedule for satisfiability detection.
% 0.27/0.33 % (2277480)dis+10_1_sil=32000:sp=arity:random_seed=517343070:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.33 % (2277477)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2628277395_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.33 % TRYING [1]
% 0.27/0.33 % TRYING [2]
% 0.27/0.33 % TRYING [3]
% 0.27/0.33 % TRYING [4]
% 0.27/0.33 % (2277480) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2277472-2277480"...
% 0.27/0.33 % TRYING [5]
% 0.27/0.33 % (2277480)...printing done.
% 0.27/0.33 % (2277478)% WARNING: option uhcvi not known.
% 0.27/0.33 % (2277480)Refutation found. Thanks to Tanya!
% 0.27/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.27/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.33 % (2277480)------------------------------
% 0.27/0.33 % (2277480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.33 % (2277480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.33 % (2277480)CaDiCaL version: 2.1.3
% 0.27/0.33 % (2277480)Termination reason: Refutation
% 0.27/0.33 % (2277480)Time elapsed: 0.006 s
% 0.27/0.33 % (2277480)Peak memory usage: 12 MB
% 0.27/0.33 % (2277480)Instructions burned: 8 (million)
% 0.27/0.33 % (2277472)Success in time 0.03 s
% 0.27/0.33 % Vampire exiting
%------------------------------------------------------------------------------