%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 09:36:11 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.30s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',commutativity_of_multiply) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
fof(f8,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
fof(f10,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
inverse(multiplicative_identity) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).
fof(f12,plain,
additive_identity != inverse(multiplicative_identity),
inference(reorient_equations,[],[f11]) ).
fof(f18,plain,
! [X0] : additive_identity != inverse(add(X0,inverse(X0))),
inference(superposition,[],[f12,f8]) ).
fof(f22,plain,
! [X0,X1] : multiply(X0,inverse(X0)) != inverse(add(X1,inverse(X1))),
inference(superposition,[],[f18,f10]) ).
fof(f25,plain,
! [X0] : multiply(X0,inverse(X0)) != inverse(multiplicative_identity),
inference(superposition,[],[f22,f8]) ).
fof(f35,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f6,f2]) ).
fof(f116,plain,
inverse(multiplicative_identity) != inverse(multiplicative_identity),
inference(superposition,[],[f25,f35]) ).
fof(f119,plain,
$false,
inference(trivial_inequality_removal,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n010.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 21:04:48 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 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
% 0.25/0.30 % (2336115)Will run a generic schedule for satisfiability detection.
% 0.25/0.30 % (2336126)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1009172821:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.30 % (2336122)% WARNING: option uhcvi not known.
% 0.25/0.30 % (2336126) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2336115-2336126"...
% 0.25/0.30 % (2336126)...printing done.
% 0.25/0.30 % (2336126)Refutation found. Thanks to Tanya!
% 0.25/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.30 % (2336126)------------------------------
% 0.25/0.30 % (2336126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.30 % (2336126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.30 % (2336126)CaDiCaL version: 2.1.3
% 0.25/0.30 % (2336126)Termination reason: Refutation
% 0.25/0.30 % (2336126)Time elapsed: 0.004 s
% 0.25/0.30 % (2336126)Peak memory usage: 11 MB
% 0.25/0.30 % (2336126)Instructions burned: 6 (million)
% 0.25/0.30 % (2336115)Success in time 0.03 s
% 0.25/0.30 % Vampire exiting
%------------------------------------------------------------------------------