%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD021-1 : 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 : n014.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 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 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(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(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,negated_conjecture,
equalish(m,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_equals_additive_identity_3) ).
fof(f31,negated_conjecture,
~ equalish(add(m,a),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_a_4) ).
fof(f33,plain,
! [X0] :
( ~ equalish(add(additive_identity,X0),X0)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(X0,X2)
| equalish(X2,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| defined(X1)
| equalish(X0,X2) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f59,plain,
~ defined(a),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f61,plain,
~ equalish(m,additive_identity),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f62,plain,
equalish(add(m,a),a),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f91,plain,
! [X0] :
( equalish(add(m,a),X0)
| equalish(X0,a) ),
inference(resolution,[],[f54,f62]) ).
fof(f105,plain,
! [X0] :
( equalish(add(X0,a),a)
| defined(a)
| equalish(m,X0) ),
inference(resolution,[],[f91,f55]) ).
fof(f110,plain,
! [X0] :
( equalish(add(X0,a),a)
| equalish(m,X0) ),
inference(forward_subsumption_resolution,[],[f105,f59]) ).
fof(f173,plain,
( equalish(m,additive_identity)
| defined(a) ),
inference(resolution,[],[f110,f33]) ).
fof(f177,plain,
defined(a),
inference(forward_subsumption_resolution,[],[f173,f61]) ).
fof(f178,plain,
$false,
inference(forward_subsumption_resolution,[],[f177,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD021-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n014.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:23:01 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.26 % (2330440)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (2330447)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1453317661:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (2330446)% WARNING: option uhcvi not known.
% 0.07/0.26 % (2330445)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1013871624_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (2330446)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2368817819:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (2330450)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=507640156:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (2330448)dis+10_1_sil=32000:sp=arity:random_seed=567303403:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (2330449)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2511781053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (2330451)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1292986529:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % TRYING [1]
% 0.07/0.26 % TRYING [2]
% 0.07/0.26 % (2330446) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2330440-2330446"...
% 0.07/0.26 % TRYING [3]
% 0.07/0.26 % (2330446)...printing done.
% 0.07/0.26 % (2330446)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (2330446)------------------------------
% 0.07/0.26 % (2330446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (2330446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (2330446)CaDiCaL version: 2.1.3
% 0.07/0.26 % (2330446)Termination reason: Refutation
% 0.07/0.26 % (2330446)Time elapsed: 0.003 s
% 0.07/0.26 % (2330446)Peak memory usage: 11 MB
% 0.07/0.26 % (2330446)Instructions burned: 3 (million)
% 0.07/0.26 % (2330440)Success in time 0.04 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------