%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD006-1 : 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 : n007.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 09:49:30 AM UTC 2026
% Result : Unsatisfiable 0.28s 0.33s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 8 unt; 1 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 22 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 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(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f28,negated_conjecture,
~ equalish(additive_inverse(additive_identity),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_identity_1) ).
fof(f32,plain,
! [X0] :
( equalish(X0,add(additive_identity,X0))
| ~ defined(X0) ),
inference(resolution,[],[f2,f22]) ).
fof(f42,definition,
( spl0_2
<=> defined(additive_inverse(additive_identity)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f43,plain,
( defined(additive_inverse(additive_identity))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ defined(additive_inverse(additive_identity))
| spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,plain,
( ~ defined(additive_identity)
| spl0_2 ),
inference(resolution,[],[f44,f12]) ).
fof(f47,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f46,f11]) ).
fof(f48,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f55,plain,
! [X0] :
( ~ equalish(additive_inverse(additive_identity),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f28]) ).
fof(f82,plain,
( ~ equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity)
| ~ defined(additive_inverse(additive_identity)) ),
inference(resolution,[],[f55,f32]) ).
fof(f86,plain,
( ~ equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f82,f43]) ).
fof(f128,plain,
( ~ defined(additive_identity)
| ~ spl0_2 ),
inference(resolution,[],[f86,f3]) ).
fof(f141,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f128,f11]) ).
fof(f142,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f141]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f48]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f142]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6]) ).
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD006-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 % Computer : n007.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 00:20:11 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.28 Running first-order model finding
% 0.11/0.28 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
% 0.28/0.33 % (3015601)Will run a generic schedule for satisfiability detection.
% 0.28/0.33 % (3015607)% WARNING: option uhcvi not known.
% 0.28/0.33 % (3015612)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4122092087:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.28/0.33 % (3015610)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2864427222:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.28/0.33 % (3015606)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2087865447_2999 on theBenchmark for (2999ds/0Mi)
% 0.28/0.33 % (3015607)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1017684278:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.28/0.33 % (3015608)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3045803880:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.28/0.33 % (3015609)dis+10_1_sil=32000:sp=arity:random_seed=1122790618:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.28/0.33 % (3015611)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1604957959:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.28/0.33 % TRYING [1]
% 0.28/0.33 % TRYING [2]
% 0.28/0.33 % (3015610) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3015601-3015610"...
% 0.28/0.33 % TRYING [3]
% 0.28/0.33 % (3015609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3015601-3015609"...
% 0.28/0.33 % (3015610)...printing done.
% 0.28/0.33 % (3015609)...printing done.
% 0.28/0.33 % (3015610)Refutation found. Thanks to Tanya!
% 0.28/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.28/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.33 % (3015610)------------------------------
% 0.28/0.33 % (3015610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.33 % (3015610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.33 % (3015610)CaDiCaL version: 2.1.3
% 0.28/0.33 % (3015610)Termination reason: Refutation
% 0.28/0.33 % (3015610)Time elapsed: 0.006 s
% 0.28/0.33 % (3015610)Peak memory usage: 12 MB
% 0.28/0.33 % (3015610)Instructions burned: 5 (million)
% 0.28/0.33 % (3015601)Success in time 0.042 s
% 0.28/0.33 % Vampire exiting
%------------------------------------------------------------------------------