%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO005-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:36:05 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
fof(f8,axiom,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse2) ).
fof(f9,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
fof(f17,negated_conjecture,
add(a,multiplicative_identity) != multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_1_is_a) ).
fof(f18,plain,
multiplicative_identity != add(a,multiplicative_identity),
inference(reorient_equations,[],[f17]) ).
fof(f44,plain,
multiplicative_identity != add(multiplicative_identity,a),
inference(superposition,[],[f18,f1]) ).
fof(f72,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f9]) ).
fof(f77,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f72,f13]) ).
fof(f84,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f94,plain,
! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
inference(superposition,[],[f84,f14]) ).
fof(f102,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f94,f7]) ).
fof(f113,plain,
multiplicative_identity != multiplicative_identity,
inference(superposition,[],[f44,f102]) ).
fof(f119,plain,
$false,
inference(trivial_inequality_removal,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO005-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n020.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 : Mon Sep 28 21:04:20 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.25 % (556474)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (556485)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1234840265:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (556480)% WARNING: option uhcvi not known.
% 0.07/0.25 % (556479)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2357850388_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (556481)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=806095844:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (556484)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3742455230:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (556482)dis+10_1_sil=32000:sp=arity:random_seed=2730455282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (556483)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1492630857:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % TRYING [1]
% 0.07/0.25 % (556480)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1323291007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % TRYING [2]
% 0.07/0.25 % TRYING [3]
% 0.07/0.25 % (556481) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-556474-556481"...
% 0.07/0.25 % (556482) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-556474-556482"...
% 0.07/0.25 % (556481)...printing done.
% 0.07/0.25 % (556483) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-556474-556483"...
% 0.07/0.25 % (556482)...printing done.
% 0.07/0.25 % (556483)...printing done.
% 0.07/0.25 % TRYING [4]
% 0.07/0.25 % (556480) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-556474-556480"...
% 0.07/0.25 % (556481)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (556481)------------------------------
% 0.07/0.25 % (556481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (556481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (556481)CaDiCaL version: 2.1.3
% 0.07/0.25 % (556481)Termination reason: Refutation
% 0.07/0.25 % (556481)Time elapsed: 0.004 s
% 0.07/0.25 % (556481)Peak memory usage: 11 MB
% 0.07/0.25 % (556481)Instructions burned: 5 (million)
% 0.07/0.25 % (556474)Success in time 0.038 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------