%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD010-3 : 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 : n010.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 09:49:32 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.34s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 12 unt; 2 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
fof(f27,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).
fof(f28,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_2) ).
fof(f34,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f42,plain,
sum(additive_identity,multiplicative_identity,additive_identity),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f43,plain,
~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f10,f28]) ).
fof(f66,definition,
( spl0_3
<=> defined(multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f68,plain,
( ~ defined(multiplicative_identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f74,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f68,f17]) ).
fof(f75,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f118,plain,
( ~ sum(additive_identity,multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f34,f43]) ).
fof(f120,definition,
( spl0_9
<=> sum(additive_identity,multiplicative_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f122,plain,
( ~ sum(additive_identity,multiplicative_identity,additive_identity)
| spl0_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f118,f120,f66]) ).
fof(f124,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f122,f42]) ).
fof(f126,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f124]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f75]) ).
cnf(s10,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f123]) ).
cnf(s11,plain,
spl0_9,
inference(sat_conversion,[],[f126]) ).
cnf(s12,plain,
~ spl0_3,
inference(rat,[],[s10,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s4,s12]) ).
fof(f127,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD010-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n010.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 00:23:03 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.30 Running first-order model finding
% 0.24/0.30 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
% 0.24/0.34 % (2510979)Will run a generic schedule for satisfiability detection.
% 0.24/0.34 % (2510990)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2339227401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.34 % (2510986)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=535436419:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.34 % (2510990) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2510979-2510990"...
% 0.24/0.34 % (2510990)...printing done.
% 0.24/0.34 % (2510990)Refutation found. Thanks to Tanya!
% 0.24/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.34 % (2510990)------------------------------
% 0.24/0.34 % (2510990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.34 % (2510990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.34 % (2510990)CaDiCaL version: 2.1.3
% 0.24/0.34 % (2510990)Termination reason: Refutation
% 0.24/0.34 % (2510990)Time elapsed: 0.003 s
% 0.24/0.34 % (2510990)Peak memory usage: 12 MB
% 0.24/0.34 % (2510990)Instructions burned: 2 (million)
% 0.24/0.34 % (2510979)Success in time 0.028 s
% 0.24/0.34 % Vampire exiting
%------------------------------------------------------------------------------