%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD070-1 : 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 : n018.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 09:49:49 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
fof(f17,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f32,negated_conjecture,
~ less_or_equal(additive_identity,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f34,plain,
! [X0] :
( ~ equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(X0,X2)
| less_or_equal(X2,X1) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| less_or_equal(X0,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(X2,X1)
| equalish(X2,X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f55,plain,
~ less_or_equal(additive_identity,a),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f56,plain,
~ less_or_equal(additive_identity,b),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f57,plain,
less_or_equal(additive_identity,add(a,b)),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f74,plain,
! [X0] :
( less_or_equal(X0,add(a,b))
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f44,f57]) ).
fof(f81,plain,
! [X0,X1] :
( less_or_equal(X0,add(a,b))
| equalish(X0,X1)
| less_or_equal(additive_identity,X1) ),
inference(resolution,[],[f53,f74]) ).
fof(f170,plain,
! [X0,X1] :
( equalish(add(X0,b),X1)
| less_or_equal(additive_identity,X1)
| ~ defined(b)
| less_or_equal(X0,a) ),
inference(resolution,[],[f81,f46]) ).
fof(f192,plain,
! [X0,X1] :
( equalish(add(X0,b),X1)
| less_or_equal(additive_identity,X1)
| less_or_equal(X0,a) ),
inference(forward_subsumption_resolution,[],[f170,f29]) ).
fof(f470,plain,
( less_or_equal(additive_identity,b)
| less_or_equal(additive_identity,a)
| ~ defined(b) ),
inference(resolution,[],[f192,f34]) ).
fof(f485,plain,
( less_or_equal(additive_identity,a)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f470,f56]) ).
fof(f486,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f485,f55]) ).
fof(f487,plain,
$false,
inference(forward_subsumption_resolution,[],[f486,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD070-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:51:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.25 % (3948203)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3948209)% WARNING: option uhcvi not known.
% 0.09/0.25 % (3948209)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1760709492:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (3948209) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3948203-3948209"...
% 0.09/0.25 % (3948209)...printing done.
% 0.09/0.25 % (3948209)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (3948209)------------------------------
% 0.09/0.25 % (3948209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (3948209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (3948209)CaDiCaL version: 2.1.3
% 0.09/0.25 % (3948209)Termination reason: Refutation
% 0.09/0.25 % (3948209)Time elapsed: 0.005 s
% 0.09/0.25 % (3948209)Peak memory usage: 11 MB
% 0.09/0.25 % (3948209)Instructions burned: 12 (million)
% 0.09/0.25 % (3948203)Success in time 0.028 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------