%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD065-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:49:47 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ less_or_equal(X2,X3)
| less_or_equal(X0,X1)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).
fof(f29,negated_conjecture,
~ less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
fof(f33,plain,
sum(additive_identity,a,a),
inference(resolution,[],[f3,f27]) ).
fof(f49,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f4,f27]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(a),X2,X0)
| less_or_equal(X0,X1)
| ~ sum(additive_identity,X2,X1) ),
inference(resolution,[],[f24,f28]) ).
fof(f279,plain,
! [X0] :
( ~ sum(additive_identity,a,X0)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f49,f192]) ).
fof(f283,plain,
less_or_equal(additive_identity,a),
inference(resolution,[],[f279,f33]) ).
fof(f285,plain,
$false,
inference(forward_subsumption_resolution,[],[f283,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD065-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:53:49 UTC 2026
% 0.08/0.19 % 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
% 0.08/0.23 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
% 0.08/0.26 % (914626)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (914636)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=226789645:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (914636) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-914626-914636"...
% 0.08/0.26 % (914632)% WARNING: option uhcvi not known.
% 0.08/0.26 % (914636)...printing done.
% 0.08/0.26 % (914636)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (914636)------------------------------
% 0.08/0.26 % (914636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (914636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (914636)CaDiCaL version: 2.1.3
% 0.08/0.26 % (914636)Termination reason: Refutation
% 0.08/0.26 % (914636)Time elapsed: 0.003 s
% 0.08/0.26 % (914636)Peak memory usage: 11 MB
% 0.08/0.26 % (914636)Instructions burned: 6 (million)
% 0.08/0.26 % (914626)Success in time 0.027 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------