%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD059-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:49:45 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
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/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
sum(a,a,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_4) ).
fof(f31,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f38,plain,
sum(additive_identity,a,a),
inference(resolution,[],[f3,f27]) ).
fof(f171,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f22,f29]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ sum(a,X2,X1)
| ~ sum(additive_identity,X2,X0)
| less_or_equal(X0,X1) ),
inference(resolution,[],[f24,f29]) ).
fof(f225,plain,
! [X0] :
( ~ sum(additive_identity,a,X0)
| less_or_equal(X0,u) ),
inference(resolution,[],[f219,f30]) ).
fof(f231,plain,
less_or_equal(a,u),
inference(resolution,[],[f225,f38]) ).
fof(f238,plain,
less_or_equal(additive_identity,u),
inference(resolution,[],[f231,f171]) ).
fof(f251,plain,
$false,
inference(forward_subsumption_resolution,[],[f238,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD059-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:44:15 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (3662834)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3662840)% WARNING: option uhcvi not known.
% 0.08/0.25 % (3662839)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1740800094_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (3662841)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=802314500:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (3662840)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3594790010:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (3662842)dis+10_1_sil=32000:sp=arity:random_seed=4171572657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (3662843)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=413670681:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % (3662844)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1991689227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % TRYING [2]
% 0.08/0.25 % (3662845)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=680500071:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % TRYING [3]
% 0.08/0.25 % (3662844) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3662834-3662844"...
% 0.08/0.25 % (3662842) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3662834-3662842"...
% 0.08/0.25 % (3662844)...printing done.
% 0.08/0.25 % (3662844)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3662844)------------------------------
% 0.08/0.25 % (3662844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3662844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3662844)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3662844)Termination reason: Refutation
% 0.08/0.25 % (3662844)Time elapsed: 0.002 s
% 0.08/0.25 % (3662844)Peak memory usage: 11 MB
% 0.08/0.25 % (3662844)Instructions burned: 4 (million)
% 0.08/0.25 % (3662834)Success in time 0.035 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------