%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD055-3 : 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 : n013.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 09:49:44 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 11 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
fof(f23,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
sum(additive_identity,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
~ less_or_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6) ).
fof(f63,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(factoring,[],[f23]) ).
fof(f64,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f91,plain,
! [X0,X1] :
( ~ sum(X0,b,X1)
| ~ less_or_equal(X0,additive_identity)
| less_or_equal(X1,c) ),
inference(resolution,[],[f24,f31]) ).
fof(f99,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(b,c)
| ~ defined(b) ),
inference(resolution,[],[f91,f3]) ).
fof(f108,definition,
( spl0_5
<=> less_or_equal(additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f110,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| spl0_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f113,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(b,c) ),
inference(forward_subsumption_resolution,[],[f99,f28]) ).
fof(f135,definition,
( spl0_10
<=> less_or_equal(b,c) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f137,plain,
( less_or_equal(b,c)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f113,f108,f135]) ).
fof(f240,plain,
( ~ defined(additive_identity)
| spl0_5 ),
inference(resolution,[],[f64,f110]) ).
fof(f241,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f240,f14]) ).
fof(f242,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f262,plain,
( ! [X0] :
( ~ less_or_equal(X0,b)
| less_or_equal(X0,c) )
| ~ spl0_10 ),
inference(resolution,[],[f137,f22]) ).
fof(f346,plain,
( less_or_equal(a,c)
| ~ spl0_10 ),
inference(resolution,[],[f262,f30]) ).
fof(f348,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f346,f32]) ).
fof(f349,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f348]) ).
cnf(s9,plain,
( ~ spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f138]) ).
cnf(s15,plain,
spl0_5,
inference(sat_conversion,[],[f242]) ).
cnf(s18,plain,
~ spl0_10,
inference(sat_conversion,[],[f349]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s9,s18,s15]) ).
fof(f352,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD055-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.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 00:42:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.27 % (1752367)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (1752375)dis+10_1_sil=32000:sp=arity:random_seed=538454218:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27 % (1752373)% WARNING: option uhcvi not known.
% 0.09/0.27 % (1752375) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1752367-1752375"...
% 0.09/0.27 % (1752375)...printing done.
% 0.09/0.27 % (1752372)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3232409627_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.27 % (1752375)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (1752375)------------------------------
% 0.09/0.27 % (1752375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (1752375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (1752375)CaDiCaL version: 2.1.3
% 0.09/0.27 % (1752375)Termination reason: Refutation
% 0.09/0.27 % (1752375)Time elapsed: 0.004 s
% 0.09/0.27 % (1752375)Peak memory usage: 12 MB
% 0.09/0.27 % (1752375)Instructions burned: 9 (million)
% 0.09/0.27 % (1752367)Success in time 0.038 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------