%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD021-3 : 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 09:49:35 AM UTC 2026
% Result : Unsatisfiable 0.51s 0.38s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 10 unt; 1 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 15 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
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(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
sum(additive_identity,m,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
fof(f30,negated_conjecture,
~ sum(m,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
fof(f34,plain,
sum(additive_identity,a,a),
inference(resolution,[],[f3,f27]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ sum(m,X0,X1)
| ~ sum(X0,X2,a)
| ~ sum(X1,X2,a) ),
inference(resolution,[],[f1,f30]) ).
fof(f329,definition,
( spl0_2
<=> sum(m,additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f330,plain,
( sum(m,additive_identity,additive_identity)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( ~ sum(m,additive_identity,additive_identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f357,plain,
( ~ sum(additive_identity,m,additive_identity)
| spl0_2 ),
inference(resolution,[],[f331,f5]) ).
fof(f358,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f357,f29]) ).
fof(f359,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f388,plain,
( ! [X0] :
( ~ sum(additive_identity,X0,a)
| ~ sum(additive_identity,X0,a) )
| ~ spl0_2 ),
inference(resolution,[],[f330,f138]) ).
fof(f397,plain,
( ! [X0] : ~ sum(additive_identity,X0,a)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f427,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f397,f34]) ).
fof(f432,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f427]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f359]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f432]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f433,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD021-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.27 % Computer : n001.cluster.edu
% 0.12/0.27 % Model : x86_64 x86_64
% 0.12/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27 % Memory : 8046.5625MB
% 0.12/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Tue Sep 29 00:29:04 UTC 2026
% 0.26/0.28 % CPUTime :
% 0.26/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.33 Running first-order model finding
% 0.26/0.33 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
% 0.51/0.38 % (901148)Will run a generic schedule for satisfiability detection.
% 0.51/0.38 % (901157)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3849159797:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.51/0.38 % (901154)% WARNING: option uhcvi not known.
% 0.51/0.38 % (901153)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3873735409_2999 on theBenchmark for (2999ds/0Mi)
% 0.51/0.38 % (901156)dis+10_1_sil=32000:sp=arity:random_seed=1327351606:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.51/0.38 % (901159)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2571596407:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.51/0.38 % (901158)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1288021531:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.51/0.38 % (901155)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=207580650:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.51/0.38 % (901154)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3561498202:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.51/0.38 % TRYING [1]
% 0.51/0.38 % TRYING [2]
% 0.51/0.38 % TRYING [3]
% 0.51/0.38 % (901157) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-901148-901157"...
% 0.51/0.38 % (901157)...printing done.
% 0.51/0.38 % (901157)Refutation found. Thanks to Tanya!
% 0.51/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.51/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.38 % (901157)------------------------------
% 0.51/0.38 % (901157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.38 % (901157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.38 % (901157)CaDiCaL version: 2.1.3
% 0.51/0.38 % (901157)Termination reason: Refutation
% 0.51/0.38 % (901157)Time elapsed: 0.021 s
% 0.51/0.38 % (901157)Peak memory usage: 12 MB
% 0.51/0.38 % (901157)Instructions burned: 47 (million)
% 0.51/0.38 % (901148)Success in time 0.045 s
% 0.51/0.38 % Vampire exiting
%------------------------------------------------------------------------------